Consider the equation
3 (4x – 2) + 6 = 5 (2x – 8) + 2
>
(Solve for x first!!)
Below are two truths and one lie:
>
1. x is a negative number
2. 3x>2x
3. x+5>x

The expression factoring out the greatest common factor is  (3pf - 21p²)(f + 2).

We have the expression as

3pf² - 21p²f + 6pf - 42p²

Now, factorising the expression as

= 3pf² + 6pf - 21p²f - 42p²

= 3pf(f +2) - 21p²(f + 2)

= (3pf - 21p²)(f +2)

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Answer:

6 cm² is correct answer

because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.

The probability Julian chooses a blue hat is 1/3.

Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.

Total hat is:

= 25+20+40+30+25+1

= 150.

There are a total of 150 hats to choose from.

The number of blue hats to choose from is:

= 40 + 10

= 50.

The probability that Julian chooses a blue hat is:

= 50/150

= 1/3

= 0.33 or 33.33%.

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a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Answer: x = sqrt(10)

Step-by-step explanation:

You can use the Pythagorean Theorem to solve:

a^2 + b^2 = c^2

You are given one leg (sqrt6) and the hypotenuse (4) and are asked to solve for the other leg (x). Plugging everything into the equation, you get:

(sqrt6)^2 + b^2 = (4)^2

Now, you can solve for b:

b^2 = 4^2 - (sqrt6)^2

b^2 = 16 - 6

b^2 = 10

b = sqrt(10)

In this case, b is equivalent to x, so your answer is x = sqrt(10).

Answer:

x = √10

Step-by-step explanation:

C^2 = A^2 + B^2

4^2 = (√6)^2 + x^2

16 = 6 + x^2

x^2 = 10

x = √10

Problem

g(a)=2a^2-5a

h(a)=3a-5

find (g+h)(a/3)​

Solution

For this case we have:

g+h (a) = 2a^2 -5a +3a -5 = 2a^2 -2a -5

And replacing a/3 instead of a we got:

g+h (a/3) = 2 (a/3)^2 -2(a/3) -5

Hello !

Answer :

Explanation :

\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)

\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)

\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)

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Answer:  y = –13.5x + 60

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

We will label the unknown interior angle of the triangle d.

14x - 19 + d = 180

14x + d = 199

d = 199 - 14x

199 - 14x + 3x + 9x + 7 - 2 = 180

199 - 2x +5 = 180

204 - 2x = 180

204 = 180 + 2x

2x = 24

x = 12

Since we have that:

to find the ratio for 1 cup, we do the division like this:

This means that the new ratio is 3:2, therefore, for 3 cups of cranberry juice, Ann will need 2 cups of orange juice. Then, we have that for one cup of orange juice, there have to be 1.5 cups of cranberry juice.

The equations that can be used to determine the length of the room are:

y(y + 5) = 750

y²– 5y = 750

(y - 30) (y + 25) = 0

A rectangle is a two-dimensional object that has four sides and four right angles. The sides of a rectangle are known as the width and the length.  A rectangle has two diagonals of equal length which bisect each other at right angles.

Area of a rectangle = length x width

750 = y x (y - 5)

750 = y² - 5y

y² - 5y - 750 = 0

The factors of -750y² that add up to -5y are 25y and -30

(y² + 25y)(-30y - 750) = 0

y(y + 25) = 0

-30(y + 25) = 0

(y - 30) (y + 25) = 0

Here is the complete question:

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

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Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

Surface area = 804m^2

Answer:10 and 8

Step-by-step explanation:

Answer:

\(\frac{3}{2} \textrm{ cups of flour}\)

Step-by-step explanation:

the ratio of cups of flour per 1 cup of water:

\(\frac{2\frac{1}{2}}{1\frac{2}{3}}=\frac{\frac{5}{2}}{\frac{5}{3}}=\frac{3}{2}\)

The angle from the options given that is shown in the drawing is: D. <LIJ.

An angle is a geometric figure that is formed by two rays that share the same endpoint, called the vertex. The rays are called the sides of the angle, and the endpoint is called the vertex.

In the drawing given,  IJ and LI are two segments that have a common endpoint called vertex I.

Points L, I, and J forms an angle whose vertex is at I, as shown in the image given. Thus, the angle shown in the drawing is: D. ∠LIJ.

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The question is missing parts. Here is the complete question.

Sheer Industries is considering a new computer-assisted program to train maintenance employees to do machine repairs. In order to fully evaluate the program, the director ofmanufacturing requested an estimateof the population mean time required for maintenance employees to complete the computer assisted training. Use 7.94 days as a planning value for the population standard deviation. (Round your answers up to the nearest whole number).

(a) Assuming 95% confidence, what sample size would be required to obtain a margin of error of 0.5 days?

(b) If precision statement was made with 90% confidence, what sample size would be required to obtain a margin of error of 3 days?

Answer: (a) n = 900

               (b) n = 18

Step-by-step explanation: Margin of Error represents the percentage of confidence your result will be different from the real population value.

It is calculated as

\(E=z\frac{\sigma}{\sqrt{n}}\)

z is z-score related to the percentage of confidence

σ is population standard deviation

n is sample size

(a) Margin of error = 0.5

For a 95% confidence, z-score is 1.96.

Sample size will be:

\(E=z\frac{\sigma}{\sqrt{n}}\)

\(\sqrt{n}=\frac{z\sigma}{E}\)

\(\sqrt{n}=\frac{1.96*7.64}{0.5}\)

\(\sqrt{n} =30\)

n = 900

For a 95% confidence, margin of error of 0.5 days, sample size required would be 900.

(b) Margin of error = 3

z-score for 90% confidence = 1.645

Solving for sample size:

\(\sqrt{n}=\frac{z\sigma}{E}\)

\(\sqrt{n}=\frac{1.645*7.64}{3}\)

\(\sqrt{n}=4.2\)

n = 18

It would be required, to obtain a margin of error of 3 days, a sample size of 18 maintenance employees.

Answer:

4

Step-by-step explanation:

f(-3) = 2 * (-3) + 10

Answer:

145

Step-by-step explanation:

Required Answers :

1. 2x + 4 = 10

\(\: :\implies \) 2x = 10 - 4

\(\: :\implies \) 2x = 6

\(\: :\implies \) x = 6/2

\(\: :\implies \) x = 3.

Hence, Option (A) x = 3 is the answer.

2. 25/5 × 7 = ?

\(\: :\implies \) 5 × 7

\(\: :\implies \) 175/5

\(\: :\implies \) 35

Hence, The required answer is 35.

3. 100 - 50 + 10 - 5 = ?

\(\: :\implies \) 50 + 5

\(\: :\implies \) 55

Hence, Option (A) 55 is the answer.

4. 24 / 6 = ?

\(\: :\implies \) 24 ÷ 6

\(\: :\implies \) 4

Hence, Option (A) 4 is the answer.

5. A triangle has base 6 inches and height 8 inches. What is the area?

Area of triangle = ½ × Base × Height

\(\: :\implies \) 1/2 × 6 × 8

\(\: :\implies \) 1/2 × 48

\(\: :\implies \) 48/2

\(\: :\implies \) 24 sq. in

Hence, Option (A) 24 sq in is the answer.

6. What is the greatest common factor of 36 and 56?

36 = 1,2,3,4,6,9,12, 18 and 36.

56 = 1,2,4,7,8,14,28 and 56.

Hence, Option (A) 4 is the answer.

7. What is the square root of 121?

\(\: :\implies \) 11 × 11

\(\: :\implies \) 121

Hence, (A) 11 is the answer

8. If 2x + 4 = 14, what is x?

\(\: :\implies \) 2x + 4 = 14

\(\: :\implies \) 2x = 14 - 4

\(\: :\implies \) 2x = 10

\(\: :\implies \) x = 10/2

\(\: :\implies \) x = 5

Hence, Option (A) 5 is the answer

9. (3x - 5) + (7x + 1) = ?

\(\: :\implies \) 3x - 5 + 7x + 1

\(\: :\implies \) 10x - 5 + 1

\(\: :\implies \) 10x - 4

Hence, Option (A) 10x - 4 is the answer.

10. What fraction is 5/12?

\(\: :\implies \) 1/2 (approximately)

Hence, Option (A) 1/2 is the answer.

Answer:

a = -2

Step-by-step explanation:

The graphs of the lines would have to be parallel.  So they must have the same slope.   2x + y = -1 changed to slope-intercept form is y = -2x - 1.  Therefore, the slope of that line is -2.   y = ax is in slope-intercept form where the slope is a.  So, a must equal -2.

The breakeven point of Angel Corporation equals to 11,500 units.

Given that the unit price is $25.99, so if they sell a x units, then, the revenue is: R(x) = $25.99*x

Given that the cost per unit is $18.95, plus a fixed cost of $80,960, then, the cost of x units is: C(x) = $80,960 + $18.95*x

Now, the breakeven point is a  value of x such that the cost is equal to the revenue, so we need to solve:

$25.99*x = $80,960 + $18.95*x

$25.99*x - $18.95*x =  $80,960

$7.04*x =  $80,960

x = $80,960/$7.04

x = 11,500 units

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Answer:

because it is a square, you just need to make a square with the side lenghts all being a or b

Step-by-step explanation:

Answer:

the first one is B the second one is  D and the last one is A

Step-by-step explanation:

Step-by-step explanation:

5.|12 - r| > 15

|12 - r| > 15/5

|12 - r| > 3

12 - r < -3 or 12 - r > 3

-r < -3 - 12 or -r > 3 - 12

-r < -15 or -r > -9

r > 15 or r < 9

Answer:

Image provided.

Step-by-step explanation:

                                              Question 1)

Given

f(x) = -2x+17

g(x) = -5x-10

To determine

h(x) = f(x) – g(x)

Using the equation

h(x) = f(x) – g(x)

substitute f(x) = -2x+17 and g(x) = -5x-10

     =  -2x+17 - (-5x-10)

     = -2x+17 + 5x + 10

     = 3x + 27

Thus,

h(x) = 3x + 27

                                               Question 2)

Given

f(x) = 7x+6

g(x) = 6x+8

To determine

j(x) = f(x) + g(x)

Using the equation

j(x) = f(x) + g(x)

substitute f(x) = 7x+6 and g(x) = 6x+8

j(x) = 7x+6 + 6x+8

j(x) = 13x + 14      

Thus,

j(x) = 13x + 14      

Answer:

this is a wrong q

Step-by-step explanation:

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