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MA_775_DIABLO [31]
2 years ago
11

For the function f given by f(x)=2x-3, find and simplify the difference quotient f (x + h) − f (x) h​

Mathematics
1 answer:
Ber [7]2 years ago
7 0

\text{Given that,}~ f(x) = 2x-3\\\\\text{Now,}\\\\~~\dfrac{f(x+h)-f(x)}{h}\\\\\\=\dfrac{2(x+h)  -3  - (2x-3)}{h}\\\\\\=\dfrac{2x+2h-3 -2x +3 }{h}\\\\\\=\dfrac{2h}{h}\\\\\\=2

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Over the entire six years that students attend an Ohio elementary school, they are absent, on average, 28 days due to influenza.
Alenkasestr [34]

Answer:

C) 28

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

Over the entire six years that students attend an Ohio elementary school, they are absent, on average, 28 days due to influenza.

By the Central Limit Theorem, the expected value is 28.

So the correct answer is:

C) 28

6 0
3 years ago
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andriy [413]

Answer:

10/10

Step-by-step explanation:

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6 0
3 years ago
Nishi uses 6 bags of cat food every 5 months. How many bags of cat food does Nishi use in 12 months?
madam [21]
14.4bags of cat food
4 0
4 years ago
Read 2 more answers
Look at the graph of this system of equations: y = - x2 + 1 and y = x2. At which approximate points are the two equations equal?
Alexandra [31]
Y=-x^2+1 and y=x^2

When the two curves intersect their coordinates will be equal, so we can say y=y whenever a solution exists, so:

x^2=-x^2+1  add x^2 to both sides

2x^2=1  divide both sides by 2

x^2=1/2  take the square root of both sides

x=±√(1/2), so there are two solutions, we can use x^2 to find the corresponding y values.

y=x^2, y=1/2 in each instance, so the two point where the curves intersect are:

(-√(1/2), 1/2) and (√(1/2), 1/2)  or if you want approximations....

(-0.7, 0.5) and (0.7, 0.5)
8 0
3 years ago
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NEED HELP MAKE SURE RIGHT ANSWER ASAP
inysia [295]

1. \sqrt[0.4]{29}  = 4,528.9236.

2. Jenna bought 4 lbs of apples.

Step-by-step explanation:

Step 1:

If a value x is to be rooted to a value of a, it will be equal to the value of x with an exponential \frac{1}{a}.

So \sqrt[a]{x} = x^{\frac{1}{a} }.

In the question, x = 29, a = 0.4.

Substituting these values in the equation we get,

\sqrt[0.4]{29} = 29^{\frac{1}{0.4} } = 29^{2.5} = 4,528.9236.

Step 2:

Apples cost $2.75 per pound. Jenna paid $11 for apples.

To calculate how many pounds of apples Jenna bought, we divide the price for which apples were bought by the cost per pound.

The price for which apples were bought = $11.

The cost per pound = $2.75.

The number of pounds bought = \frac{11}{2.75} = 4.

So Jenna bought 4 pounds of apples.

6 0
3 years ago
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