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sveta [45]
3 years ago
8

Evaluate composite functions

Mathematics
1 answer:
Ber [7]3 years ago
5 0

As shown in the pic, you place the given value into g first, which results in 3 (as shown in the pic). Next, you place the result you got from placing the given value into g into f now, so that would be (3)^2-6(3)+3. Evaluating this, so far we'd get 9-18+3. When adding, we'd get 12-18, which is -6, so f(g(11)) is -6

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ach light bulb at Hotel California is either incandescent or fluorescent. At a certain moment, forty percent of the incandescent
Trava [24]

Answer:

10%

Step-by-step explanation:

The computation of the percentage of bulbs that switched on incandescent is as follows;

Let us assume the incandescent be I

And, the fluorescent be F

Now the equation is

0.4I + 0.9F = 0.8 (I+F)

0.41I + 0.9F = 0.8I + 0.8F

So here

0.4I = 0.1F

Now the percentage would be for incandescent in the case of switched on is

= 0.4I ÷  0.8(I+F) × 100

= 0.1F ÷ 1F

= 10%

6 0
3 years ago
Is (-1, 2) a solution?
Anni [7]

Answer:

It can be an answer to many things.

Step-by-step explanation:

There needs to be some sort of picture or other item to explain what is going on.

7 0
3 years ago
What is the area of rectangle when both circles have a radius of 2
tia_tia [17]
Figure out the length of the rectangle by using the diameter of the 2 circles added together then work out the width by using the diameter of one circle (since the vertical diameter will be the same length as the width if that makes sense)
8 0
3 years ago
Read 2 more answers
Please see attached image and help with these absolute value problems - thank you
Novay_Z [31]

Answer:

{-infinity, infinity}

no solution

Step-by-step explanation:

|x| +15≥4

Subtract 15 from each side

|x| +15-15≥4-15

|x| ≥-11

This is always true so x can be and real number

{-infinity, infinity}

-2|5x+3| = 8

Divide by -2

-2/-2|5x+3| = 8/-2

|5x+3| = -4

This can never happen because absolute values are zero or greater

no solution

6 0
3 years ago
Find an equation of the line in the form whose​ x-intercept is 15 and​ y-intercept is 3​, where​ a, b, and c are integers with n
madreJ [45]

x-intercept = (15, 0)                  y-intercept = (0, 3)

slope (m) = (y₂ - y₁)/(x₂ - x₁) = (0 - 3)/(15 - 0) = -3/15 = -1/5

Point-Slope formula: y - y₁ = m(x - x₁)   ; where (x₁, y₁) is one of the given points

y - 0 = (-1/5)(x - 15)

    -5y = x - 15

             x + 5y = 15

Answer: x + 5y = 15

5 0
3 years ago
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