Given (x – 7)2 = 36, select the values of x.

Answer:

d. -8

Step-by-step explanation:

-9+1=-8 so the answer is -8.

Answer:

Step-by-step explanation:

\(LHS = \\\\=(x+a)(x+b)(x+c) \\\\=(x+a)(x^2 + cx + bx + bc)\\\\=x(x^2 +(b+c)x + bc) + a(x^2 + (b+c)x + bc)\\\\=x^3 + (b+c)x^2 + bcx+ ax^2 + (b+c)ax+ abc\\\\=x^3 + ax^2 + (b+c)x^2 + bcx + abx + acx + abc\\\\=x^3 + (a+b+c)x^2 + (ab+ac+bc)x+ abc\\\\= RHS\)

Answer:

Explanation:

Hey there!

Please look explanation in picture. As all the factor gives us "0" while putting them in equation, it is verified that they are the factors of f(x).

Hope it helps!

Answer:

His total profit is $213.00

Step-by-step explanation:

He spent $90 on tires ($45x2), $255 on rims ($85x3), and $25 on headlights ($5x5), spending a total of $370.

He sold the tires for a total of $130 ($65x2), the rims for a total of $378 ($126x3), and the headlights for a total of $75 (15x5), a total of $583.  

To find his final profit, you need to subtract what he spent from what he earned when he sold the items.  ($583-$370= $213).

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

Vertex: (6, 18)

Step-by-step explanation:

Given the quadratic function, m(x) = -2(x - 3)(x - 9):

Perform the FOIL method on the two binomials, (x - 3)(x - 9) without distributing -2:

m(x) = -2[(x - 3)(x - 9)]

Combine like terms:

m(x) = -2(x² - 9x - 3x + 27)

m(x) = -2(x² - 12x + 27)

where: a = 1, b = -12, and c = 27

Since the axis of symmetry occurs at x = h, then we can use the following formula to solve for the x-coordinate (h ) of the vertex, (h, k):

\(x = \frac{-b}{2a}\)

Substitute a = 1 and b = -12 into the formula:

\(x = \frac{-b}{2a}\)

\(x = \frac{-(-12)}{2(1)} = \frac{12}{2} = 6\)

Therefore, the x-coordinate (h) of the vertex is 6.  

Next, substitute the value of h into x² - 12x + 27 to find the y-coordinate (k ) of the vertex:

k = x² - 12x + 27

k = (6)² - 12(6) + 27

k = 36 - 72 + 27

k = 18

Therefore, the vertex of the quadratic function occurs at point (6, 18), in which it is the maximum point on the graph.

Answer:

there is no graph

Step-by-step explanation:

can you link the graph?

Answer:

5/8 is the smallest

Step-by-step explanation:

21/32=.656

5/8=.625

3/4=.75

11/16=.687

Answer:

9= coefficient

4= degree

-6m= term

-5= constant

Step-by-step explanation: I hope this helps ;)

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

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Answer:

Step-by-step explanation:

you hav to times it

The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled. This model helps to identify the mathematical correlations between variables and provides a foundation for developing a more detailed and accurate mathematical model.

The modeling process begins with the framing of a mathematical model that shows the relationships between the various parts of the problem being modeled. This model is often based on data analysis and utilizes statistical techniques to establish correlations between the different variables in the problem. Ultimately, the goal of the modeling process is to create a predictive tool that can be used to make informed decisions about the problem at hand.

Process models involve graphically representing processes or functions that capture, manage, store, and distribute information between the system and its environment and physical objects. One type of process model is the flowchart (DFD). A data flow is a diagram that shows the movement of data between external sources and processes and the data stored in the system. While several different tools have been developed for modeling, we focus only on data streams as they are effective tools for modeling. While not all organizations use all analytical methods, including these methods such as data flow, they have a significant impact on the development process.

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Answer:

7/6 cups

Step-by-step explanation:

Given the following information :

Mug is 2/7 full

Amount of water in the mug = 1/3 cup

Assume the full capacity of the mug = m

Then the current capacity of water in mug = (2/7) of m = (2/7)m

Current capacity of water in mug is equivalent to 1/3 cup of water

Hence,

(2/7)m = 1/3

2m/7 = 1/3

Cross multiply

(2m * 3) = 7 * 1

6m = 7

m = 7/6

m = 1 1/6 cups

Answer:

Both are 117 degrees.

Step-by-step explanation:

Since 6 and 8 are vertical angles, they are congruent. So, 8 is also 63 degrees. Angle 4 corresponds to angle 8, so it is also 63. Angle 2 and angle 4 are vertical, so they are also congruent. So, angle 2 is 63. Since angle 1 and 2 form a straight line (180 degrees), you can find angle 1 by subtracting 63 from 180. You get 117. And since 1 and 3 are vertical, 3 is also 117.

the rock will be going 89.9 m/s just before it hits the bottom of the chaste on a certain plaats moon.

To answer your question, we need to use the formula for the acceleration due to gravity, which is:

a = g

where a is the acceleration, and g is the gravitational constant. In this case, we know that the acceleration due to gravity on the moon is 2.9 m/sec^2, so we can substitute that into the formula:

a = 2.9 m/sec^2

Now we need to use the formula for calculating the speed of an object that is falling under the influence of gravity, which is:

v = gt

where v is the speed, g is the gravitational constant, and t is the time. We know that the rock takes 31 seconds to hit the bottom of the chivaste, so we can substitute that into the formula:

t = 31 s

Now we can calculate the speed of the rock just before it hits the bottom:

v = gt
v = 2.9 m/sec^2 x 31 s
v = 89.9 m/s

So the rock will be going 89.9 m/s just before it hits the bottom of the chivaste on the certain plaats moon.

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Answer:

It is a traingle

Step-by-step explanation:

Answer:

They are instructions...

Step-by-step explanation:

Probably finding out the angles of a triangle

There may be patterns in the triangles..

Answer:

C.  37.5

Step-by-step explanation:

From inspection of the given triangle, we can see that the straight line that divides the triangle into two smaller triangles is an angle bisector since it divides the angle into two congruent angles.

Angle Bisector Theorem

An angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.

\(\implies x:15=40:16\)

Solve for x:

\(\implies \dfrac{x}{15}=\dfrac{40}{16}\)

\(\implies \dfrac{x}{15}=2.5\)

\(\implies x=2.5\times 15\)

\(\implies x=37.5\)

Answer:130

Step-by-step explanation:\

Given,

The stem and leaf plot of the data is shown in question.

The first statement is median is 30.

Here, the median of the data is 30.

Hence, statement 1 is correct.

The second statement is that the number of student who read less than 20 pages are 10.

But the number of student who reads less than 20 pages are 4.

Hence, statement 2 is also incorrect.

The third statement is over 50% of students read less than 20 pages

Here,

total number of students are 20.

The number of student who can read only pages less than 20 are 4.

4 is 20% of 20.

Hence, statement 3 is also incorrect.

The forth statement is the range of the data is 52.

Range= larger value - smaller value

= 67 - 12

= 55

Here, the range of the given data is the 55.

Hence, statement 4 is not correct.

Answer: -46

Step-by-step explanation:

\(u_1=50=50-(1-1)*4\\u_2=46=50-(2-1)*4\\u_3=42=50-(3-1)*4\\...\\\\u_n=50-(n-1)*4\\\\\\u_{25}=50-(25-1)*4=-46\\\\\\Answer\ -46\\\)

The equation with (x) in dogs and (y) in dollars is  \(y=195x\)

First, you must set up your equation.

\(y=80x+65x+50x\)

Then, you must add like terms to simplify the equation

\(y=195x\)

Answer:y=195x

Step-by-step explanation:

the probability that a student scored greater than 65 is 0.2389.

The probability that a student scored greater than 65 can be calculated using the standard normal distribution and the z-score. The z-score represents the number of standard deviations a value is from the mean, and can be calculated as follows:

z = (x - mean) / standard deviation

Where x is the score of interest (65)

Mean is the average score of the students (70)

Standard deviation is the standard deviation of the scores (7).

Plugging in the values, we get

z = (65 - 70) / 7 = -0.714.

Using a standard normal distribution table, we can find the probability that a student scored greater than 65 by finding the area to the right of the z-score. The probability of a student scoring greater than 65 is approximately 0.2389, or 23.89%.

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In a taste test comparing a generic soda to a brand name soda, the count of correct guesses among 20 tasters follows a binomial distribution with parameters n = 20 (number of trials) and p = 0.25 (probability of guessing correctly). The taste tests are conducted independently, with tasters in separate locations to avoid interaction between them during the test.

Binomial distribution: The binomial distribution is a discrete probability distribution of the number of successes in a fixed number of independent trials. P(X=k)= nCk * pk * (1-p)n-k, Where P(X=k) is the probability of getting k successes in n trials, nCk is the number of ways to get k successes in n trials, p is the probability of success, and 1 - p is the probability of failure.

So, the formula for the mean and variance of the binomial distribution is as follows: μ = npσ2 = np (1 - p).

Now, we have to find n and p. Probability of success, p is 0.25 and the number of trials, n is 20.

Thus,p = 0.25, n = 20.

So, n and p are 20 and 0.25 respectively.

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Using the binomial distribution, it is found that:

3.1 There is a 0.5033 = 50.33% probability that he makes at most one sale.

3.2 There is a 0.8322 = 83.22% probability that he makes at least one sale.

3.3. There is a 0.4404 = 44.04% probability that he makes two or three sales.

3.4. There is a 0.0011 = 0.11% probability that he makes six sales.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Item 1:

The probability that he makes at most one sale is:

\(P(X \leq 1) = P(X = 0) + P(X = 1)\)

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{8,0}.(0.2)^{0}.(0.8)^{8} = 0.1678\)

\(P(X = 1) = C_{8,1}.(0.2)^{1}.(0.8)^{7} = 0.3355\)

Then:

\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1678 + 0.3355 = 0.5033\)

There is a 0.5033 = 50.33% probability that he makes at most one sale.

Item 2:

The probability that he makes at least one sale is:

P(X > 1) = 1 - P(X = 0) = 1 - 0.1678 = 0.8322.

There is a 0.8322 = 83.22% probability that he makes at least one sale.

Item 3:

The probability that he makes two or three sales is given by:

\(P(2 \leq X \leq 3) = P(X = 2) + P(X = 3)\)

In which:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{8,2}.(0.2)^{2}.(0.8)^{6} = 0.2936\)

\(P(X = 3) = C_{8,1}.(0.2)^{3}.(0.8)^{5} = 0.1468\)

Then:

\(P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.2936 + 0.1468 = 0.4404\)

There is a 0.4404 = 44.04% probability that he makes two or three sales.

Item 4:

The probability that he makes six sales is P(X = 6), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 6) = C_{8,6}.(0.2)^{6}.(0.8)^{2} = 0.0011\)

There is a 0.0011 = 0.11% probability that he makes six sales.

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The measure of angle 1 is 67.4°. The measure of angle 2 is 104.5°.

An angle is the measure of the amount of rotation between two lines or two planes that meet at a point. It is typically measured in degrees or radians. An angle can be acute, meaning it is less than 90 degrees, right, meaning it is exactly 90 degrees, obtuse, meaning it is greater than 90 degrees but less than 180 degrees, or straight, meaning it is exactly 180 degrees. An angle can also be positive or negative, depending on the direction of rotation between the lines or planes. Angles are used in various fields such as mathematics, engineering, physics, and geometry.

Here,

180-121.8=58.2°

180-(58.2+17.3)=104.5°

180-104.5=75.5°

180-(75.5+37.1)=67.4°

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Answer:   9.75

Explanation:

To find your answer, you need to divide 195 by 20, which is 9.75

The rewritten form of the equation as required to be determined for x is; x = 0.5 (-77/20).

It follows from the task content that the given equation is to be rewritten for variable x as required.

Given; 3 / (-2x - 4) = 20

3/20 = -2x - 4

2x + 4 = 3/20

2x = 3/20 - 4

x = 0.5 (-77/20)

Ultimately, the rewritten equation for variable x is; x = 0.5 (-77/20).

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Answer:

\( \sf \: 34 \: isosceles \: triangle \: - - - - - - - - - - - - - - - - - - - - - - - - \)

Step-by-step explanation:

\(b = 144 - 2a < 2a \)

So, that

\(a > 36\)

and 2a < 144 so that

\(a < 72\)

since a = b implies a = 48

{37,38,39.......71}/{48}

There are 71-37 = 34 isosceles triangle