All categories

2 years ago

The functions q and r are defined as follows.

Mathematics

1 answer:

UkoKoshka [18]2 years ago

3 0

Q(3) = -2(3)+2 = -4
r(q(3)) = (-4)^2-1 = 15

You might be interested in

What are the steps to solve/verify this

Troyanec [42]

Tan^2 x - Tan^ x sin^2 x

= tan^2x ( 1 - sin^2 x)

= tan^2 x * cos^x

= sin^2 x * cos^2 x
----------------------
cos^2 x

= sin^2 x

5 0

2 years ago

Read 2 more answers

Is the function continuous at x = -17

Pavlova-9 [17]

For a function to be continuous at an x-value, say -17, you need to make sure two things line up:

The limit from the left equals the limit from the right.

$\lim_{x \to -17^{-}} f(x) = \lim_{x \to -17^{+}} f(x)$

This limit equals the functions value.

$\lim_{x \to -17} f(x) = f(-17)$

The left hand limit involves the first piece, f(x) = 20x + 1:

$\begin{aligned} \lim_{x \to -17^{-}} f(x) &= \lim_{x \to -17^{-}} (20x+1)\\[0.5em]&= 20(-17)+1\\[0.5em]&= -339\endaligned}$

The right hand limit invovles the second piece, f(x) = -10x^2:

$\begin{aligned} \lim_{x \to -17^{+}} f(x) &= \lim_{x \to -17^{+}} (-10x^2)\\[0.5em]&= -10\cdot (-17)^2\\[0.5em]&= -2890\endaligned}$

Since the two one-sided limits don't match, the function is not continuous at x=-17.

3 0

2 years ago

Easy one - giving brainly if correct - show work.

astra-53 [7]

Answer:

47. 1 5/8

48. 1 1/12

Step-by-step explanation:

47.

First, convert the denominators to be the same.

8 1/2 minutes, Ruby's mile time, can be converted to 8 4/8.

Then subtract.

8 4/8 - 6 7/8 = 1 5/8

48.

Make sure the denominators are the same. Both denominators can be multiplied by 3 or 4 to become 12.

1 1/4 can be multiplied by 3 to get 1 3/12. And 1 1/3 can be multiplied by 4 to get 2 4/12.

Then subtract.

2 4/12 - 1 1/3 = 1 1/12

6 0

2 years ago

Find the area of a circle that has a diameter = 18

ki77a [65]

Answer:

About 254.469 square units

Step-by-step explanation:

To find the area of a circle, you need to multiply the square of the radius by pi. To find the radius of a circle, you need to divide the diameter by 2, which in this case is 18/2=9. Now, you can plug it into the formula to find that the area of this circle is $\pi \cdot 9^2 \approx 254.469$ . Hope this helps!

4 0

2 years ago

If P(A)=0.3, then the probability of the complement of A is ?

KonstantinChe [14]

C is the answer for this question

7 0

2 years ago