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3 years ago

A friend runs up to you and excitedly explains that she has found that she has found a function g with the following properties:

1 answer:

7 0

Given the start point of (0,1) and (1,5), the average slope is (5-1)/(1-0) = 4. So the finding that g'(x) for the interval is <=3 cannot be true. It might be for a small segment but not the entire interval.

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if you divide a positive number by 12, the answer would be less than the original number? always, sometimes, or never

elena55 [62]

Answer:

Always

Step-by-step explanation:

The rules for positive numbers is that addition and multiplication makes numbers larger. Subtraction and division makes numbers smaller.

Since 12 is a positive number, the result of dividing a positive number by 12 will make it smaller.

8 0

3 years ago

Find c.

Alexxx [7]

9514 1404 393

Answer:

14.9 cm

Step-by-step explanation:

To find c using the Law of Sines, you must know angle C. That is found from ...

C = 180° -A -B = 180° -150° -12° = 18°

Then the law of sines tells you ...

c/sin(C) = b/sin(B)

c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)

c ≈ 14.9 cm

5 0

2 years ago

Consider function f.

tekilochka [14]

Given:

The function is:

$f(x)=\sqrt{7x-21}$

To find:

The steps of finding the inverse function $f^{-1}(x)$ .

Solution:

We have,

$f(x)=\sqrt{7x-21}$

The steps of finding the inverse function are:

Step 1: Substitute $f(x)=y$ .

$y=\sqrt{7x-21}$

Step 2: Interchange x and y.

$x=\sqrt{7y-21}$

Step 3: Taking square on both sides, we get

$x^2=7y-21$

Step 4: Adding 21 on both sides, we get

$x^2+21=7y$

Step 5: Divide both sides by 7.

$\dfrac{1}{7}x^2+3=y$

Step 6: Substitute $y=f^{-1}(x)$ .

$\dfrac{1}{7}x^2+3=f^{-1}(x)$ , where $x\geq 0$ .

Therefore, the inverse of the given function is $f^{-1}(x)=\dfrac{1}{7}x^2+3$ and the arrangement of steps is shown above.

7 0

3 years ago

Please help ASAP! The best answer get brainliest!!

Vinvika [58]

Answer:

1. A

2. B

Hopefully this is right.

Can i have brainliest?

8 0

3 years ago

steven has a rectangular rug with a perimeter of 16 feet the width of the rug is 5 feet what is the length of the rug

stich3 [128]

So perimeter is equal to 2 lengths and 2 width so the equation would be P=2L+2W. you know width so you plug in 5 for W then solve for L and you should get L=3

3 0

2 years ago