Answers
When f(x) > 0.
Related Questions
jake's on 49 tickets to the school are, and jeans sold 12 tickets. what is the ratio, in simplest form, of the number of tickets jeans sold to the number of tickets jake sold?
Answers
The ratio in simplest form, of the number of tickets jeans sold to the number of tickets jake sold is 12/49.
Given that,
Jake sold 49 tickets while jeans sold 12 for the school.
In simplest form the ratio of the given case will be;
Simplest form:
A fraction is a number that falls between the whole numbers but is not a whole number. It belongs to the entire. A fraction also consists of a denominator and a numerator. We obtain the fraction in its simplest form when both the numerator and denominator can no longer be independently reduced to any smaller integer.
The ratio we get;
→ 12/49
The ratio in simplest form, of the number of tickets jeans sold to the number of tickets jake sold is 12/49.
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Scarlett has the deluxe version of the card game Mysterious Monsters of the Deep with 3D images printed on the playing cards. She randomly selects one card from the deck, puts it back in the deck, and picks another card. She repeats this several times and gets 2 anglerfish, 3 vampire squids, 1 viperfish, 4 megamouth sharks, and 5 ghost fish.
Based on the data, what is the probability that the next card Scarlett selects will have an anglerfish on it?
Answers
The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.
To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.
From the given information, Scarlett selected 2 anglerfish cards during her previous selections.
The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.
Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.
Calculate the total number of cards Scarlett selected.
2 + 3 + 1 + 4 + 5 = 1
Calculate the number of anglerfish cards Scarlett selected.
Scarlett selected 2 anglerfish cards.
Calculate the probability of selecting an anglerfish card on the next draw.
Probability = Number of anglerfish cards / Total number of cards
Probability = 2 / 15
Probability ≈ 0.1333
Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.
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Olivia counted the number of ladybugs on each plant in her garden, then made the graph below.
If ten ladybug fly from the lettuce to the alfalfa, which 2 kinds of plants will have the same number of ladybugs?
Choose 2 answers:
A) Roses
B) Lettuce
C) Alfalfa
D) Grape vines
Answers
Answer:
A) Roses , C) Alfalfa
Step-by-step explanation:
Each ladybug symbol = 5 ladybugs
Roses: 35 ladybugs
Lettuce: 15 ladybugs
Alfalfa: 25 ladybugs
Grape vines: 10 ladybugs
10 ladybugs go from lettuce to alfalfa. You end up with:
Roses: 35 ladybugs
Lettuce: 5 ladybugs
Alfalfa: 35 ladybugs
Grape vines: 10 ladybugs
Roses and alfalfa end up with 35 ladybugs each.
Answer: A) Roses , C) Alfalfa
if angle P is a right angle and angle P and Q form a straight angle, then angle Q is what ?
Answers
So P+Q = 180
90+Q =180
Q = 180-90
Q = 90
Can someone please help me with this ty!!
Answers
Answer:
the x is going by one's and the y is going by nine's
-8+9=1
1+9=10
10+9=19
19+9=28
The slope is 9/1, which ends up being 9x. When x=0, y= -8, therefor, it’s 9x-8
Are the ratios 2:1 and 10:5 equivalent? yes or no
Answers
Answer:
Yes
Step-by-step explanation:
10/5 = 2 and 5/5 = 1
Answer:
Yes
Step-by-step explanation:
To find out if the ratios are equivalent you need to simplify both of them. The ratio 2:1 is already simplified all the way. You know this because 2 and 1 have no GCF (greatest common factor) besides 1. However, 10:5 is not all the way simplified. The GCF is 5, so divide both sides by 5. This equals 2:1. The ratio 2:1 is equal to 2:1; therefore, they must be equivalent.
A company is considering a proposal to open an online gambling business. management team determines that the business will most likely generate $8 million in profit each year; but there are two possible exceptions. first exception is, there is a small 5% chance that the business will be wildly successful and generate $26 million in profit each year. second exception is, there is a 2% chance the gambling business will be found to be illegal, the business is shut down, and the company is fined, for a total loss of $294 million. what is the expected profit of this proposal to open the online gambling business? enter a number (negative if it's a loss), rounded to the nearest thousand. do not type the $ symbol. do not type the comma in the thousand separator. for example, if your answer is a profit of $5,432,100, then enter: 5432100. if your answer is a loss of $1,234,567, then enter: -1234567.
Answers
The expected profit of the proposal to open the online gambling business is $2,860,000.
To calculate the expected profit of the proposal to open the online gambling business, we need to consider the probabilities and associated profits for each scenario.
The base scenario is that the business generates $8 million in profit each year, which has a probability of 100% - (5% + 2%) = 93%.
The first exception scenario is that the business is wildly successful and generates $26 million in profit each year, which has a probability of 5%.
The second exception scenario is that the business is found to be illegal, resulting in a total loss of $294 million, which has a probability of 2%.
To calculate the expected profit, we multiply each scenario's profit by its probability and sum them up:
Expected profit = (0.93 * $8,000,000) + (0.05 * $26,000,000) + (0.02 * -$294,000,000)
Expected profit = $7,440,000 + $1,300,000 - $5,880,000
Expected profit = $2,860,000
Therefore, expected profit of the proposal to open online gambling business is $2,860,000.
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9. you randomly arrange the letters l,o,w,o,r,d,h,e,l,l. what's the probability they spell helloworld?
Answers
The probability of randomly arranging the letters l,o,w,o,r,d,h,e,l,l to spell the word "helloworld" is approximately 9.1%.
The probability of arranging the letters l,o,w,o,r,d,h,e,l,l to spell the word "helloworld" can be calculated as follows:
First, we need to calculate the total number of possible arrangements of the 11 letters, which is 11! (11 factorial), or 39,916,800.
Next, we need to determine how many of these arrangements spell the word "helloworld". The word "helloworld" contains 10 letters, so we need to choose 10 letters from the 11 available letters and arrange them in the correct order. The number of ways to choose 10 letters from 11 is 11 choose 10, which is equal to 11. Once we have chosen the 10 letters, we can arrange them in 10! (10 factorial) ways.
Therefore,
The total number of arrangements that spell "helloworld" is 11 x 10! = 3,628,800.
The probability of randomly arranging the letters to spell "helloworld" is the number of arrangements that spell "helloworld" divided by the total number of possible arrangements:
P("helloworld") = 3,628,800 / 39,916,800 ≈ 0.091 or approximately 9.1%.
Therefore, the probability of randomly arranging the letters l,o,w,o,r,d,h,e,l,l to spell the word "helloworld" is approximately 9.1%.
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Belen wants to create a right triangle on a coordinate plane. She draws a vertices at A (3,2) B (6,9) and C (10,6). Belen uses Pythagorean Theorem to determine if she created a right triangle with \(\sqrt{B}\) as the right angle.
What are the side lengths of the triangle, and is the triangle a right triangle?
Answers
Answer:
Step-by-step explanation:
Find the distance between the two numbers on a number line . -2.2,8.4
Answers
Answer:
10.6
Step-by-step explanation:
To find the difference between 2 numbers, subtract the bigger one from the smaller one. In this case, 8.4-(-2.2) = 8.4 + 2.2 = 10.6
If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
O A. 2x-3
O B. 4x+1
ОС. 3х – 3
O D. 2x-1
Answers
Answer:
.➌×-➌
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
By definition, (f+g)(x) = f(x) + g(x)
So, (f+g)(x) = 3x - 1 + x + 2
= 4x + 1
978,000 in scientific notation
Answers
In scientific notation, we represent the number 978,000 as 9.78 × \(10^5\).
Scientific notation is a way to specific very massive or very small numbers in a compact and standardized format.
It consists of two parts: a coefficient and an exponent of 10.
In the given quantity 978,000, we begin by using transferring the decimal factor to the left till there is solely one non-zero digit to the left of the decimal point.
In this case, we can pass the decimal factor three locations to the left to get 9.78.
Next, we be counted the wide variety of locations we moved the decimal point.
Since we moved it three locations to the left, the exponent of 10 will be 3.
Finally, we categorical the range as the product of the coefficient (9.78) and 10 raised to the strength of the exponent (3):
978,000 = 9.78 × 10^5
In scientific notation, the coefficient is constantly a wide variety between 1 and 10 (excluding 10) to preserve the popular form.
The exponent represents the quantity of locations the decimal factor used to be moved, indicating the scale of the authentic number.
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if h(x)=10-x^2, then determine the value of h(f(2))
Answers
But once you have to find F then you can calculate the value of F (2). Can you plug the value into H and calculate the results
PLZ PLZ PLZ! I NEED HELP
I HAVE TEST TO DO!!!
Answers
Answer:
A. 31
Step-by-step explanation:
26 + 29 + 31 + 33 + 36 = 155
Average = 155/5 = 31
when a number is decreased by 3% the result is 80. what was the original number?
Answers
Answer:
82.47
Step-by-step explanation:
.93n = 80
n = 80/.93
n = 82.47
Alice is going shopping for statistics books for H hours, where H is a random variable, equally likely to be 1,2 or 3. The number of books B she buys is random and depends on how long she is in the store for. We are told that P(B=b∣H=h)=h1, for b=1,…,h. a) Find the joint distribution of B and H using the chain rule. b) Find the marginal distribution of B. c) Find the conditional distribution of H given that B=1 (i.e., P(H=h∣B=1) for each possible h in 1,2,3). Use the definition of conditional probability and the results from previous parts. d) Suppose that we are told that Alice bought either 1 or 2 books. Find the expected number of hours she shopped conditioned on this event. Use the definition of conditional expectation and Bayes Theorem. Warning: Be sure to use a formal derivation. Your work should involve the law of total expectation conditioning on the number of books bought, and make use of random variables Xi, where Xi is the amount of money she spends on the ith book she purchases.
Answers
In this problem, Alice's shopping duration, represented by the random variable H, can take values 1, 2, or 3 with equal probability.
The number of books she buys, represented by the random variable B, depends on her shopping duration. The joint distribution, marginal distribution, conditional distribution, and conditional expectation are calculated. The solution involves the chain rule, conditional probability, and Bayes' Theorem.
a) To find the joint distribution of B and H, we can use the chain rule. The joint distribution is given by P(B=b, H=h) = P(B=b | H=h) * P(H=h). Since P(B=b | H=h) = h^(-1) for b=1,...,h and P(H=h) = 1/3 for h=1,2,3, we have P(B=b, H=h) = (1/3) * (h^(-1)).
b) The marginal distribution of B can be obtained by summing the joint probabilities over all possible values of H. P(B=b) = Σ[P(B=b, H=h)] for h=1,2,3. Simplifying this expression, we get P(B=b) = Σ[(1/3) * (h^(-1))] for h=1,2,3. The marginal distribution of B is a probability mass function that assigns probabilities to each possible value of B.
c) To find the conditional distribution of H given that B=1, we use the definition of conditional probability. P(H=h | B=1) = P(H=h, B=1) / P(B=1). Using the joint distribution from part a), we have P(H=h | B=1) = [(1/3) * (h^(-1))] / P(B=1). To calculate P(B=1), we sum the joint probabilities over all possible values of H when B=1.
d) To find the expected number of hours Alice shopped conditioned on the event that she bought either 1 or 2 books, we use conditional expectation and Bayes' Theorem. Let E denote the expected number of hours conditioned on this event. We have E = E[H | B=1 or B=2]. Using the law of total expectation, we can express E as the sum of the conditional expectations E[H | B=1] and E[H | B=2], weighted by their respective probabilities. These conditional expectations can be calculated using the conditional distribution of H given B=1 (from part c).
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c. 3x - y = 7
y = 3x - 2
Answers
Answer:
Step-by-step explanation:
3x- (3x-2)=7
- (3x-2) = -3x+2
3x-3x=0x
so the answer is zero or imposible becasue nothing can be times by zero
Match the scenario on whether the p-value will be lower one side, upper one sided or two sided. The null and alternative hypotheses are: H_0: mu = 5.5, H_a: mu > 5.5 The null and alternative hypotheses are: H_0: mu_d = 0, H_a: mu_d0 The null and alternative hypotheses are: H_0: p = 4, H_a: p
Answers
For the scenario where the null and alternative hypotheses are: H_0: mu = 5.5, H_a: mu > 5.5, the p-value will be lower one-sided.
This is because the alternative hypothesis is one-tailed, indicating that we are only interested in whether the mean is greater than 5.5, rather than whether it is simply different from 5.5. For the scenario where the null and alternative hypotheses are: H_0: mu_d = 0, H_a: mu_d ≠ 0, the p-value will be two-sided. This is because the alternative hypothesis is two-tailed, indicating that we are interested in whether the mean difference is different from zero in either direction.
For the scenario where the null and alternative hypotheses are: H_0: p = 4, H_a: p, it is not clear what the alternative hypothesis is, as it is not specified. If the alternative hypothesis were one-tailed, the p-value would be either lower one-sided or upper one-sided, depending on the direction of the alternative hypothesis. If the alternative hypothesis were two-tailed, the p-value would be two-sided.
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Are the lines of equations
x = −2 + 2t, y = −6, z = 2 + 6t and
x=−1+t,y=1+t,z=t, t∈ R, perpendicular to each other?
Answers
The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.
Given lines of equations:
x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.
Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.
Let `t=2`, then the point on the line is
\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T
herefore, direction vector `
\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)
For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)
Let the angle between the direction vectors `v1` and `v2` be `θ`.
Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.
Thus, we have:
(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ
=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)
Therefore,
`θ = cos⁻¹(8/(4√10))`
which is approximately `28.07°`.
Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.
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Work out the mean of these three numbers
Answers
Answer:
110
Step-by-step explanation:
Let the three numbers be 100, 110 and 120
100 + 110 + 120 = 330
Total numbers = 3
\(mean = \frac{330}{3} = 110 \\ \)
Kaun ha R 5,400. 00 on hand to be depoited in two account. He ha depoited part
of it in a fixed depoit at 3% annual interet and the ret in a aving account that earn
2% annual interet. If the imple interet earned from both account i R 140. 00 for
the year, then how much doe he have in each account
Answers
Based on simultaneous equations, Kaun has deposited in each account the following:
Account A = R 3,200Account B = R 2,200.What are simultaneous equations?When two or more algebraic equations are solved concurrently, we call them simultaneous equations.
We can solve simultaneous equations by graphing, elimination, or substitution methods.
The total deposit in the two accounts = R 5,400
The annual interest in Account A = 3% or 0.03
The annual interest in Account B = 2% or 0.02
The total interest earned from both accounts for the year = R 140
Let Account A be designated as a and Account B be designated as b.
Equations:a + b = 5,400 ... Equation 1
0.03a + 0.02b = 140 ... Equation 2
Eliminate a by multiplying Equation 1 by 0.03:
0.03a + 0.03b = 162 ... Equation 3
Subtract Equation 2 from Equation 3:
0.03a + 0.03b = 162
-
0.03a + 0.02b = 140
= 0.01b = 22
b = 2,200
From Equation 1, substitute b:
a + 2,200 = 5,400
a = 3,200 (5,400 - 2,200)
Check:
In equation 2:
0.03a + 0.02b = 140
0.03(3,200) + 0.02(2,200) = 140
96 + 44 = 140
140 = 140
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Solve for x. Round your answer to the nearest tenth if necessary. Figures are not
necessarily drawn to scale.
R
61°
55
47
52°
P
67⁰
T
67⁰
X
52%
61°
U
S
44
Answers
Given the similar triangles, Note that x = 51.2
What is the explanation for the above response?Since both triangles are proportional,
64/60 = x/48
To solve for x in the equation:
64/60 = x/48
We can cross-multiply to get rid of the fractions:
64 * 48 = 60 * x
3072 = 60x
Finally, we isolate x by dividing both sides by 60:
x = 3072/60 = 51.2
Therefore, the solution is:
x = 51.2
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factor this polynomial completely\(10 {x}^{2} - 11x + 3\)
Answers
Given:
There are given the equation:
\(10x^2-11x+3=0\)Explanation:
According to the question:
we need to find the factor of the given equation:
So,
From the equation:
\(\begin{gathered} 10x^{2}-11x+3=0 \\ 10x^2-6x-5x+3=0 \\ (2x-1)(5x-3)=0 \end{gathered}\)Final answer:
Hence, the factor of the given equation is shown below:
\((2x-1)(5x-3)=0\)y = x² + 4x - 5 1. Transpose the c-value to the left side of the equation. 2. Complete the square of the expression on the right side of the equation to get a perfect square trinomial. Add the resulting term to both sides. 3. Add the numbers on the left and factor the trinomial on the right. 4. Transpose the number across to the right side to get the equation into the vertex form, y = a(z-h)² + k. 5. Make sure the addition and subtraction signs are correct to give the proper vertex form.
Answers
The vertex is at (-2, -9).
How to find the vertex form
From the equation:
y = x² + 4x - 5
Transpose the c-value to the left side of the equation:
y + 5 = x² + 4x
Complete the square of the expression on the right side of the equation to get a perfect square trinomial:
y + 5 = x² + 4x + 4 - 4
by adding and subtracting 4 to the right side of the equation to maintain its balance.
Add the numbers on the left and factor the trinomial on the right:
y + 9 = (x + 2)²
Transpose the number across to the right side to get the equation into the vertex form, y = a(z-h)² + k:
y = (x + 2)² - 9
Make sure the addition and subtraction signs are correct to give the proper vertex form.
Here, the vertex is at (-2, -9).
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Given:-
y = x² + 4x - 5 .To find:-
The vertex form following the given steps .Answer:-
1) Firstly we are told to transpose the c value to LHS .
With respect to standard form of a quadratic equation, \( ax^2+bx + c \) ,the value of c here will be -5 . So on transposing c to LHS , we have;
\(\implies y + 5 = x^2 + 4x\\\)
w) Next we are told to complete the square on the RHS of the equation. For that add and subtract 4 .
\(\implies y + 5 = x^2 + 4x + 4 - 4 \\\)
\(\implies y + 5 =\{ (x)^2 + 2.2.x + 2^2 \}- 4\\\)
The terms inside the curly brackets are in the form of \( a^2+2ab + b^2\) , which is the whole square of \( (a + b )\) . That is \( ( a + b)^2\) . So , we can rewrite it as ,
\(\implies y + 5 = (x +2)^2 - 4 \\\)
\(\implies y + 5 + 4 = (x+2)^2 \\\)
3) Next we have to add the number on the left and factor the trinomial on right as ,
\(\implies y + 9 = (x+2)^2 \\\)
4) Now we are told to transpose the number on the LHS to RHS and get the equation into vertex form which is \( y = a(z-h)^2+ k \) .
\(\implies\underline{\underline{ y = (x+2)^2 - 9}} \\\)
This is our required answer in vertex form. Also on comparing to the standard equation of vertex form, we have;
\(\implies vertex = ( -2,-9) \\\)
and we are done!
Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair. The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails. He decides to carry out a significance test. What is the p-value he obtains and the general conclusion that can be made at a 99% significance level?.
Answers
The p-value he obtains and the general conclusion that can be made at a 99% significance level is 0.01
A p-value is a measure of the evidence against a null hypothesis. In this case, the null hypothesis is that the coin is fair and equally likely to turn up heads or tails.
The coach carries out a significance test to determine if the number of tails in his trial of 100 flips is significantly different from what would be expected if the coin were fair.
The p-value is calculated by comparing the observed number of tails (35) to the expected number of tails (50, if the coin were fair) using a binomial distribution.
This involves finding the probability of observing 35 or fewer tails in 100 flips, assuming the null hypothesis is true. If this probability is low (i.e. if the p-value is small), then it suggests that the coin is not fair and that the observed difference is unlikely to have occurred by chance.
At a 99% significance level, a common threshold used in statistical tests, the p-value needs to be less than 0.01 to reject the null hypothesis and conclude that the coin is not fair.
If the p-value obtained is less than 0.01, then we can conclude with 99% confidence that the coin is biased towards heads. On the other hand, if the p-value is greater than 0.01, then we fail to reject the null hypothesis and conclude that there is not enough evidence to say that the coin is unfair.
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A store buys a computer for
$200. They mark it up by 40%.
What will the selling price be?
Answers
Selling price of computer will be $280.
What is Selling price?Selling price is defined as the price that a customer pays to purchase a product.
Starting price of computer is $200
Mark it up by 40%.
So, 200×(1+40%)
⇒200+40% of 200
⇒200+0.4×200
⇒200+80
280
Since add the 80 to starting price of $200
Hence selling price will be $280.
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irst consider a public good of value to Ann and Bob with the property that the value of the good can be expressed in monetary terms. In this case, the Samuelson condition states that the efficient level of the good is determined by MV +MVP where p is the per A B unit price of the good, and, for example, MV is Ann's marginal value of the good. Now consider a public good of value to Ann and Bob, the value of which CANNOT be expressed in monetary terms. In this case A O a. The Samuleson condition continues to work as in the case where values CAN be expressed in monetary terms. O b. We need more information before we can know how to modify the Samuelson condition. O c. The Samuelson condition is of no use because we cannot compare Ann's utility to Bob's. O d. The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.
Answers
The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.
When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.
Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.
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What is the effect on the graph of f(x) = x² when it is transformed to
h(x) = 5x² + 10?
A. The graph of f(x) is vertically stretched by a factor of 5 and shifted 10 units up.
B. The graph of f(x) is horizontally compressed by a factor of 5 and
shifted 10 units to the left.
C. The graph of f(x) is horizontally stretched by a factor of 5 and
shifted 10 units up.
D. The graph of f(x) is vertically stretched by a factor of 5 and shifted 10 units to the left.
Answers
Answer:
A
Step-by-step explanation:
The '5' stretches it vertically by factor of 5 and the '10' shifts it UP 10 units
Find the slope of the line that passes through (1, 13) and (10, 6).
Answers
What is the volume of the rectangular prism?
5 cm
3 cm
6 cm
Answers
Answer:
90 cm^3
Step-by-step explanation:
The equation to solve for the volume of rectangular prisms is l×w×h or length×width×height
5×3×6 is 90cm^3
Volume of a rectangular prism is :
\( \boxed{ \boxed{ length \times width \times height}}\)
\( \hookrightarrow \: 5 \times 3 \times 6\)
\( \hookrightarrow \: 90 \: \: {cm}^{3} \)