We know that she spent $39, and has 3/4 of the original amount left. Our goal is to find the original amount. We can use the equation. x - 39 = 3/4x. Once we subtract x on the left hand side, we get -39 = -1/4x. Once we multiply -39 by -4, we get 146. She originally had $156.

3 0

3 years ago

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w circle r) (x)?

VashaNatasha [74]

Answer:

$(-\infty, 0)$

Step-by-step explanation:

(w circle r) (x) is the composite function(w of r(x)), that is, w(r(x))[/tex]

We have that:

$r(x) = 2 - x^{2}$

$w(x) = x - 2$

Composite function:

$w(r(x)) = w(2 - x^{2}} = 2 - x^{2} - 2 = -x^{2}$

$-x^{2}$ is a negative parabola with vertex at the original.

So the range(the values that y assumes), is:

$(-\infty, 0)$

3 0

3 years ago

Read 2 more answers

Benito has 42 orange juice boxes and 36 grape juice boxes. If Benito gives each friend an equal number of each type of juice box

Mice21 [21]

To find the answer for this question,you need to find the highest common factor for both 42 and 36,and the factors are 1,2,3,and 6. The highest number in that group is 6 so Benito can share the juice boxes to 6 friends.

5 0

4 years ago

Help please. with the steps on image.

Kipish [7]

Answer:

T(n) = 3n² - 4
-189 doesn't belong

Step-by-step explanation:

Given sequence:

-1, 8, 23, 44, 71

The first differences:

9, 15, 21, 27

The second differences:

6, 6, 6

If the sequence is T(n) = an² + bn + c, we have:

2a = 6 ⇒ a = 3

Using the first and second differences work out the value of zero term:

9 - 6 = 3
-1 - 3 = -4

This gives us c = - 4

Now we have:

T(n) = 3n² + bn - 4

The first term is T(1) = -1, substitute n = 1 and find the value of b:

3(1²) + b*1 - 4 = - 1
3 + b - 4 = - 1
b = 0

The nth term is:

T(n) = 3n² - 4

Now lets find if -189 belongs to this sequence:

- 189 = 3n² - 4
3n² = - 185

The left side is positive and the right side is negative so the answer is also negative

5 0

3 years ago