i dont really know how to do this can somebody help?

Answer:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{7}{2}x - 16[/tex]

Required

The difference quotient for h

The difference quotient is calculated as:

[tex]\frac{f(x + h) - f(x)}{ h}[/tex]

Calculate f(x + h)

[tex]f(x) = \frac{7}{2}x - 16[/tex]

[tex]f(x+h) = \frac{7}{2}(x+h) - 16[/tex]

[tex]f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16[/tex]

The numerator of [tex]\frac{f(x + h) - f(x)}{ h}[/tex] is:

[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)[/tex]

[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16[/tex]

Collect like terms

[tex]f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16[/tex]

[tex]f(x + h) - f(x) = \frac{7}{2}h[/tex]

So, we have:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h[/tex]

Rewrite as:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}[/tex]

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]

Answer:

It is A.

Step-by-step explanation:

Just took the test

Answer:

$481.25

Step-by-step explanation:

The formula for simple interest is i = p*r*t, in which p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

Here p = $3500, r = 0.055 and t =2.5 yrs, and so the simple interest is

i = ($3500.00)(0.055)(2.5 yr), or

i = $481.25

Answer:

307.72

Step-by-step explanation:

if the diameter is 28 then the radius is 14 (half of the diameter)

y = ( x + 9 )^2 - 2

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Answer:

I believe Option 1, 2 and 4 are all irrational numbers Hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Im fairly sure it is 45ft^3

Answer:

[tex]45ft^{2}[/tex]

Step-by-step explanation:

V=L*W*H

Hi

It's not a good estimation.  2 is  10% of  20, so 5% is 1 dollar.  

As the bill is  above  20, and  15 =  10+5  , so   15% is at least more than 3.

So 3 would be a better estimation.  

In fact, 15% of 20.36  is :  20.36 *0.15 = 3.054

Answer:

8 nachos and 5 hot dogs

Step-by-step explanation:

Let x equal number of nachos

let y equal number of how dogs

1.5x + 2y = 22

x + y = 13

y = 13 - x

1.5x + 2(13 - x) = 22

1.5x + 26 - 2x = 22

1.5x - 2x = 22 - 26

-0.5x = - 4

x = -4/-0.5

x = 8

y = 13 - x

y = 13 - 8

y = 5

Answer:

120 degrees is x

Step-by-step explanation:

because both are equal angles

btw nice Pikachu meme

Step-by-step explanation:

19+k=90°

k=90-17

k=71°

Hi there!

For the Pythagorean Theorem, basically you just need to apply this formula: a^2 + b^2 = c^2

And then find the root of the hypotenuse.

For example,

15^2 + 8^2 = the hypotenuse^2

Which equals, 225 + 64 = 289

Square root of 289 = 17

Please mark me brainliest if this helps!

Have a wonderful day!

Answer:

11. Expression

12. Equation

13. Equation

14. Expression

15. Equation

Step-by-step explanation:

Expression:

Has no equal sign.

Equation:

Has equal sign.

11. 2 + 5

14. X + 25

Those which do not have the equal sign are expressions.

12. 2 + 5 = 7

13. 4x = 12

15. 16 - 6 = 10

Those with the equal sign are equations.

Answer:

5040

Step-by-step explanation:

This is a problem of permutation where one has to arrange all the letters of the word taken all at a time. Since in N lettered word if all the letters are different then it can be arranged in N! ways i.e factorial N ways.

In the problem mentioned given

Word : Musical

number of words = 7 (all the words are different)

Number of ways to arrange it = 7!

7*6*5*4*3*2*1 = 5040

Hence 5040 is the answer!

Answer:

Step-by-step explanation:

There are 20 men and 8 of them prefer movies.

Answer:

216 stamps

Step-by-step explanation:

Stamps =4x

stickers=x

coins=46

4x+x+46=316 (stamps, stickers and coins)

5x=270

x=54 (stickers)

4x=stamps

4(54)=stamps

216=stamps

check answer

54 (stickers)+216(stamps)+46 (coins)=316

316=316

Answer: 9 minutes and 12 minutes

Step-by-step explanation:

Answer:

[tex] - 20x - 5y \\ - (20x + 5y) \\ = - 5(4x + y)[/tex]

Answer:-5/z ; z=5 solution -1

Step-by-step explanation:

-5/5

Answer: 3/20 or .15

Step-by-step explanation:

Answer:

see my explanation!!

Step-by-step explanation:

2000-750=1250m

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that [tex]\mu = 90, \sigma = 2[/tex]

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{94 - 90}{2}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772.

X = 86

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{86 - 90}{2}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Answer:

B

Step-by-step explanation:

You just need to find the volumes of both container and soap and divide them. So;

Volume of Soap = 15cm * 8cm * 6cm = 720 cm^3

Volume of Container = 165cm * 40cm * 96cm = 633600 cm^3

Dividing them gives = 633600 cm^3 / 720 cm^3 = 880

Answer is B.