Answer:
\( x = - 4, \: \: x = 1 \frac{1}{2} \)
Step-by-step explanation:
\(2 {x}^{2} + 5x - 12 = 0 \\ \\ 2 {x}^{2} + 8x - 3x - 12 = 0 \\ \\ 2x(x + 4) - 3(x + 4) = 0 \\ \\ (x + 4)(2x - 3) = 0 \\ \\ x + 4 = 0, \: \: 2x - 3 = 0 \\ \\ x = - 4, \: \: x = \frac{3}{2} \\ \\ x = - 4, \: \: x = 1 \frac{1}{2} \)
Below is the sale price of 2 cars. One car is a ford and the other car is a Nissan.
Ford- $4,892
Nissan- $2,984
One of the digits in the sale price of the Nissan is 10 times the value of the same digit in the sale price of the ford. Which digit is it?
A- 4
B- 8
C- 9
D- 2
Answer:
The answer is C
Step-by-step explanation:
The nine from the price of Ford is in the tenths place and from Nissan is 10 times the value which 9 will be in the hundreds place.
Converting a Percent to a Decimal
a) The percentage is 73%.
b) The ratio is 73:27
d) The decimal form is 0.73
e) The fraction is 73/100
What percentage is shaded?The percentage of the model that is shaded is given by:
P = 100%*(shaded squares)/(total number of squares)
There are 100 squares in total, of these 73 are shaded, then the percentage is:
P = 100%*(73)/100 = 73%
b) The ratio is "shaded squares to non shaded squares"
There are 73 shaded squares and 27 non-shaded ones, then the ratio is 73:27
c) To get the equivalent decimal to a percentage, just divide it by 100%.
p = 73%/100% =0.73
d) The equivalent fraction is the fraction we wrote on the first step, it is:
fraction = 73/100
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Prove that the union of two subspaces of V is a subspace of V if and only if one of the subspaces of v is contained in the other. [duplicate]
The union of two subspaces of V is a subspace of V if and only if one of the subspaces of v is contained in the other
Let \($V_1, V_2$\) be the two subspaces of V. Suppose \($V_1 \cup V_2$\) is a subspace of V.
Then if \($x_1 \in V_1$\) and \($x_2 \in V_2$\) then we must have \($x_1 \in V_1 \cup V_2$\) and\($x_2 \in V_1 \cup V_2$\) so that we must have \($x_1+x_2 \in V_1 \cup V_2$\).
If and only if one of the subspaces is contained in the other, the union of the two subspaces is a subspace.
But this by definition means \($x_1+x_2 \in V_1$\) or \($x_1+x_2 \in V_2$\). Either way, by the existence of additive inverses and the closure properties for the subspaces we have:
\(\left(x_1+x_2\right)+\left(-x_1\right) \in V_1\)
Or
\(\left(x_1+x_2\right)+\left(-x_2\right) \in V_2\)
By the associative/commutative properties, we have:
\(x_2 \in V_1 \text {, or, } x_2 \in V_1\)
Thus we have shown if \($x_1 \in V_1$\) and \($x_2 \in V_2$\) then \($x_1 \in V_2$\) or \($x_2 \in V_1$\). If \($x_1 \in V_2$\) for all \($x_1 \in V_1$\) then we have \($V_1 \subseteq V_2$\). If \($x_2 \in V_1$\) for all \($x_2 \in V_2$\) then \($V_2 \subseteq V_1$\). In either case, we see one subspace is a subset of the other.
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simpify 22\4 divided by 2\5
Answer:
55/4 or 13.75 or 13 3/4
Step-by-step explanation:
it just is
Answer:
55/4
Step-by-step explanation:
keep the first fraction, change the division to multiplication then flip the second fraction. Then you do that and find it in simplest form homes
NO LINKS OR FILES THINGS LIKE THAT!!!!!!
DUE TODAY!!!!!!
Write format:
(Quarters,Dimes)
No spaces
Example:
5 quarters, and 2 dimes should be written as (5,2)
Answer:
(4,8)
Step-by-step explanation:
One of the marked points on the black line is (4,8).
__
You will notice that the only combination worth $3.00 is (12,0).
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6
How to determine the valueTo determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.
These algebraic expressions are also identified with the presence of arithmetic operations,
These operations are;
AdditionBracketParenthesesSubtractionMultiplicationDivisionFrom the information given, we have that;
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
collect the like terms
7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6
add the like terms
x^7+10x^4+4x^3-5x^11-10x^6
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Match each unit rate to its ratio. PLEASE HELP
Answer:
1½ gallons per minute3 gallons per minute ⅔ gallon per minute 9 gallons per minuteStep-by-step explanation:
You have to divide both numbers.
10/12 is less than ?/5
Answer:
x must be any number greater than 25/6
Step-by-step explanation:
10/12 < x/5
Simplfy the left: 5/6 < x/5
Multiply both sides by 5: 25/6 < x
Or, x > 25/6
So x must be any number greater than 25/6
Which of the following is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?
The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.
The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?
The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.
The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?
Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.
Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.
The inverse sine of 0.707 is π/4 radians or 45 degrees.
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HEWPPPP MEEE PLEZZZ....WILLGIVE BRAINLIEST FOR BEST ANSWER! :) 20 PIONTS!!!! NO TROLLING PLEASE
A student works at a bicycle shop. When he sells a bicycle, he earns 6% of the sale price as a commission. If he sells 1 bicycle for $450 and 2 bicycles for $250 each, what is the total amount of commission he earns?
Answer choices-
$69.00
$57.00
$6.90
$5.70
Answer:
57$
Step-by-step explanation:
450 + 500 = 950 and 6% of 950 is 57
Alice finds shirts on sale for $18.99.She buys twelve how much money does she spend?
Answer:
Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88
Alice spent $227.88 on 12 shirts
Step-by-step explanation:
Answer:
Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88
Step-by-step explanation:
What are the vertical asymptote(s) of y= (x-6)/(x+8) (x-7)
Answer:
x = -8 and x= 7
Step-by-step explanation:
recall that for a rational expression, the vertical asymptotes occur at x-values that causes the expression to become undefined. These occur when the denominator becomes zero.
Hence the asymptototes will occur in x-locations where the denominator , i.e
(x+8)(x-7) = 0
solving this, we get
(x+8) = 0 ----> x = -8
or
(x-7) = 0 ------> x = 7
hence the asymptotes occur x = -8 and x= 7
Answer:
x = -8 and x = 7.
Step-by-step explanation:
The vertical asymptotes are lines that the function will never touch.
Since no number can be divided by 0, the function will not touch points where the denominator of the function is equal to 0.
\(\frac{x - 6}{(x + 8)(x - 7)}\), so the vertical asymptotes will be where (x + 8) = 0 and (x - 7) = 0.
x + 8 = 0
x = -8
x - 7 = 0
x = 7
The vertical asymptotes are at x = -8 and x = 7.
Hope this helps!
What type of variable is a coin flip?
The coin flip is random variable.
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.
A variable at random The value of the variable X is subject to chance. Imagine that you flip a coin. If the coin lands on its head, you win one dollar; otherwise, you lose one. You can never predict how much money you'll make from one coin toss.
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The coin flip is random variable.
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.
A variable at random The value of the variable X is subject to chance. Imagine that you flip a coin. If the coin lands on its head, you win one dollar; otherwise, you lose one. You can never predict how much money you'll make from one coin toss.
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Tom makes $200 per week working a part-time
job. He pays $300 per month for his share of the
rent where he lives. How much money does he
have left for other expenses in one year?
Answer:
$6000
Step-by-step explanation:
200 dollars a week
spends 300 dollars every month
200 dollars*4 weeks in a month = 800 a month
800 dollars a month - 300 dollars spent every month = 500 remaining after each month
500 dollars a month remaining*12 months in a year = 6000 dollars left for other expenses in one year.
Hope this helps!
Answer:$6000
Step-by-step explanation:
there are 4 weeks in a month and he makes $200 a week so i multiplied it by 4 which equals $800 then i subtracted $300 for the monthly rent then i multiplied that by 12 and that got me to a total of $6000
5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
PLEASE HELP ME THIS IS STATISTICS MATH. IMAGE ABOVE!! ILL GIVE YOU BRAINLIST ANSWER
Answer:
Step-by-step explanation:
Use the figure to complete the transformations.
1. Reflect the triangle across the y-axis.
2. Reflect the image across the x-axis.
The final image is the same as what single transformation?
a translation 2 units to the left and 2 units down
a reflection across the y-axis
a 180° rotation about the origin
a clockwise rotation 90° about the origin
Find the difference between -14w - 3 and 5w.
A -9 w - 3
B -19 w + 3
C -19 w - 3
D -22 w
Quick pls
Answer:
c
Step-by-step explanation:
cause -14w-3-(5w)
-14w-5w-3
-19w-3
find product of 3/8 × 4
Answer:
1 and 1/2 or 1.5
Step-by-step explanation:
3/8 × 4/1 = 3/2 = 1 and 1/2
Result in decimals: 1.5
Calculation steps:
3/8 × 4/1 = (3 × 4)/(8 × 1) = 12/8
12 ÷ 4 = 3
8 ÷ 4 = 2
= 3/2 = 1 and 1/2
What is the answer....................................................
Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.
Step-by-step explanation:
Can somebody help me please.
Answer:
The correct answer is the last one: 8 x 16 = ?
Step-by-step explanation:
hope this helps. pls mark this as brainiest if im correct! Thx have a great day... :)
The storage capability of computers has been doubling every 5 years since the first computers were invented in the 1960s. If the first computer could store .5 megabytes, about how many megabytes can today's computers store? How long did it take for computers to store 100 megabytes?
It takes time of near about 35 year.
Given that,
Storage capability of computers has been doubling every 5 years
The date of 1st computer made = 1980
computer could store 5 megabytes,
Now,
We can use the following calculation to determine how long it took computers to store 100 megabytes:
Therefore,
Log₂ (final amount / beginning amount)
= Log₂ (100 / 0.5)
= log₂ (200)
= 7.64 is the number of doublings.
If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.
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Triangle 1 undergoes four different transformations. The results of these transformations are shown. Which statement best describes one of these transformations?
One of the transformations undergone by Triangle 1 is a rotation, which involves turning the triangle around a fixed point while preserving its shape and size.
A rotation is a transformation that turns an object around a fixed point, known as the center of rotation. In the given results, if the triangle appears in a different orientation but retains its shape and size, it indicates a rotation.
During a rotation, each point of the triangle is moved along a circular path around the center of rotation. The distance from the center of rotation remains constant, and the angle between any two corresponding points on the original and rotated triangles is preserved. The direction of rotation can be clockwise or counterclockwise, depending on the given results.
To describe a rotation, we need to specify the angle of rotation and the direction. For example, "Triangle 1 underwent a counterclockwise rotation of 90 degrees" would indicate that the triangle was rotated by 90 degrees in the counterclockwise direction.
The specific rotation can be described by stating the angle of rotation and the direction.
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HELP ASAP, FIRST ANSWER GETS BRAINLIEST,
Polygon JKLM is drawn with vertices J(−4, −4), K(−4, −6), L(−1, −6), M(−1, −4). Determine the image coordinates of K′ if the preimage is reflected across y = −7.
K′(−4, −4)
K′(−4, −5)
K′(−4, 6)
K′(−4, −8)
The image coordinates of K′ if the preimage is reflected across y = −7 is (-4, -8)
How to determine the image of the coordinates KBased on the given question, we have certain variables that can be utilized for our calculations.
K = (-4, -6)
First, find the equation of the reflection line
The reflection line is y = -7.
This can be expressed as
y = a = -7
The image of the reflection is then calculated as
K' = (x, -(y + 2|a|))
Replace the given or established values in the equation mentioned earlier, resulting in the following expression
K' = (-4, -(-6 + 2 * 7))
Evaluate
K' = (-4, -8)
Hence, the image coordinates of K′ are (-4, -8).
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......................
Answer:
The answer is A
Step-by-step explanation:
Find the zeros of the function. f(x) = 9x3 + 36x2 + 27x
Find the zeros of the function. f(x) = 9x3 + 36x2 + 27x
x=0 , -1 and -3
Will says that in the number 9.493, one 9 is 10 times as great as the other 9. Is he correct? Explain
why or why not
Answer:
No
Step-by-step explanation:
The first nine is 100 times greater than the other 9 because the first nine is in the ones place and the second 9 is in the hundredths place.
11. Which one of the following is unique? b. mode a. Mean c. Median d. A and B
Among the mean, mode, and median, the unique one is the b. mode.
What is the mode?The mode is the data value that occurs many times more than other data values.
Unlike the mean that shows the average value of all the data values, the mode occurs more. While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.
Similarly, the median can be computed when two values occur as the middle values.
Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.
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A case of vegetable costs $10.68. He can spend at most $50 for this project. what is the maximum amount of cases of vegetables he can buy
Answer:
4
Step-by-step explanation:
The maximum number of cases of vegetables that he can buy can be calculated by dividing the maximum budget of $50 by the cost of a single case of vegetables, which is $10.68:
$50 ÷ $10.68 = 4.67 cases
Since you can't buy fractional cases, the maximum number of cases he can buy would be 4. Round down to the nearest whole number, the maximum number of cases he can buy is 4.
I need help solving this question pleeeeasse
Answer:
Step-by-step explanation:
I’m not what are you talking about
Which of the following is the best example of something considered multimedia.
A collage using paper,wood, and paint
A photograph collection
A radio ad
A mash up of two songs
Answer: a collage using paper, wood, and paint
Step-by-step explanation:
Answer:
A) a collage using paper,wood, and paint