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3 years ago

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (5 – 7)2 (5)2 – 7 (5)2(5 – 7) (5 – 7)x2

1 answer:

3 0

E are given with two functions: h(x) = x – 7 and g(x) = x2. In this problem, we are asked to determine the value of g(h(5)). first we get g(h(x)) which is equal to (x-7)2, when x is substituted by 5, then g(h(5)) = (5-7)^2 equal to 4

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PLS HELP AND SHOW WORK I WILL GIVE BRAINLIEST + EXTRA POINTS WHOEVER SHOWS WORK......

andreyandreev [35.5K]

Answer:

1) b =

$\frac{13}{3}$

2)m = -2.5

3)y = 15

4)x=2

Step-by-step explanation:

subtract 8b from both sides
subtract 2 from both sides
divide both sides by 3
Substitute this value into the equation and if both sides are equal then it is the solution.

2)Simplifying

7m + 32 = 12 + -1m

Reorder the terms:

32 + 7m = 12 + -1m

Solving

32 + 7m = 12 + -1m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'm' to each side of the equation.

32 + 7m + m = 12 + -1m + m

Combine like terms: 7m + m = 8m

32 + 8m = 12 + -1m + m

Combine like terms: -1m + m = 0

32 + 8m = 12 + 0

32 + 8m = 12

Add '-32' to each side of the equation.

32 + -32 + 8m = 12 + -32

Combine like terms: 32 + -32 = 0

0 + 8m = 12 + -32

8m = 12 + -32

Combine like terms: 12 + -32 = -20

8m = -20

Divide each side by '8'.

m = -2.5

Simplifying

m = -2.5

3)Simplifying

16 + -5y = 1 + -4y

Solving

16 + -5y = 1 + -4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4y' to each side of the equation.

16 + -5y + 4y = 1 + -4y + 4y

Combine like terms: -5y + 4y = -1y

16 + -1y = 1 + -4y + 4y

Combine like terms: -4y + 4y = 0

16 + -1y = 1 + 0

16 + -1y = 1

Add '-16' to each side of the equation.

16 + -16 + -1y = 1 + -16

Combine like terms: 16 + -16 = 0

0 + -1y = 1 + -16

-1y = 1 + -16

Combine like terms: 1 + -16 = -15

-1y = -15

Divide each side by '-1'.

y = 15

Simplifying

y = 15

4)Simplifying

2x + -8x + 1 = 9 + -10x

Reorder the terms:

1 + 2x + -8x = 9 + -10x

Combine like terms: 2x + -8x = -6x

1 + -6x = 9 + -10x

Solving

1 + -6x = 9 + -10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10x' to each side of the equation.

1 + -6x + 10x = 9 + -10x + 10x

Combine like terms: -6x + 10x = 4x

1 + 4x = 9 + -10x + 10x

Combine like terms: -10x + 10x = 0

1 + 4x = 9 + 0

1 + 4x = 9

Add '-1' to each side of the equation.

1 + -1 + 4x = 9 + -1

Combine like terms: 1 + -1 = 0

0 + 4x = 9 + -1

4x = 9 + -1

Combine like terms: 9 + -1 = 8

4x = 8

Divide each side by '4'.

x = 2

Simplifying

x = 2

8 0

3 years ago

4. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. In a

borishaifa [10]

675 people will have score between 85 and 120

Step-by-step explanation:

Given

Mean = 100

SD = 15

If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values

z-score is given by:

for a value x:

$z-score = \frac{x-mean}{SD}$

So,

For 85:

$z-score = z_1 = \frac{85-mean}{SD}\\ = \frac{85-100}{15}\\=\frac{-15}{15}\\=-1$

$z-score = z_2 = \frac{120-mean}{SD}\\ = \frac{120-100}{15}\\=\frac{20}{15}\\=1.3333$

Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.

So,

For z1 : 0.1587

For z2: 0.9082

The area between z11 and z2:

$z_2-z_1 = 0.9082-0.1587=0.7495$

So the probability of score between 85 and 120 is 0.7495

As the sample is of 900 people, the people with scores between 85 and 120 will be:

900*0.7495 = 674.55 people

Rounding off to nearest whole number

675 people will have score between 85 and 120

Keywords: Probability, SD

Learn more about probability at:

#LearnwithBrainly

4 0

4 years ago

9(k-4)-7k=32-2(k-8)

IrinaK [193]

Answer: k=21

Step-by-step explanation:

1. Distribute the 9 to the k and the -4 in the parentheses.

9 · k = 9k and 9 · -4 = -36

You now have 9k - 36 - 7k. You can combine the like terms of 9k and -7k and get 2k, giving you 2k - 36.

2. For the other side of the equation, you also distribute -2 to the k and -8 in the parantheses.

-2 · k = -2k and -2 · -8 = 16

You now have 32 - 2k + 16. Combine the like terms 32 and 16 (32 + 16) and you get 48. This gives you the equation 48 - 2k.

3. Now you should have the equation 2k - 36 = 48 - 2k.

You want the k on one side of the equation so you need to cancel out one of them. I cancelled out -2k by adding 2k to it. You also need to add this 2k to your 2k on the other side of the equation.

Ex: 2k - 36 = 48 - 2k

+2k +2k

4. Now you should have 4k - 36 = 48. You need to get 4k by itself so cancel out -36 from both sides by adding 36 to -36 and adding 36 to 48.

You should now have 4k = 84 (48 + 36 = 84).

Divide both sides by 4 to get k by itself. 4 divided by 4 makes k and 84 divided by 4 equals 21. This makes k = 21, which is your answer.

4 0

3 years ago

Read 2 more answers

A baker bakes 50 muffins. 1/5 of the muffins are chocolate chip. 1/2 of the muffins are blueberry. The rest are cinnamon. How ma

vitfil [10]

Answer:

15 muffins are cinnamon.

Step-by-step explanation:

Given that:

Number of muffins baked = 50 muffins

Chocolate chip muffins = 1/5 of 50 = $\frac{1}{5}*50$

Chocolate chip muffins = 10 muffins

Blueberry muffins = 1/2 of 50 = $\frac{1}{2}*50$

Blueberry muffins = 25

Cinnamon muffins = Muffins baked - chocolate chip muffins - blueberry muffins

Cinnamon muffins = 50 - 10 - 25

Cinnamon muffins = 50 - 35 = 15

Hence,

15 muffins are cinnamon.

5 0

3 years ago

Helppp plz asappp

Lesechka [4]

Answer:

B. $0.27

Step-by-step explanation:

3 0

3 years ago