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brilliants [131]
3 years ago
9

PLEASE HELP!!!!!!!! (ALGEBRA II)

Mathematics
1 answer:
qwelly [4]3 years ago
5 0

Answer:

-4     4     4.5     8     20.5     32

Step-by-step explanation:

f$ \circ  $ g(x) = f(g(x))

Given,   f(x) = 2x²

and       g(x) = x - 2

Now f(g(x)) = f(x - 2) = 2(x - 2)²

We know that (a - b)² = a² - b² + 2ab

Using this we expand f(g(x)). We get:

                        f(g(x)) = 2{x² - 4x + 4}

Similarly,        g(f(x)) = g(2x²) = 2x² - 2

Now, f(g(-2))    = 2[(-2)² - 4(-2) + 4]     = 2(16)                           = 32.

Also, g(f(-2))   = 2[(-2)² - 2]                = 2(2)                             = 4.

f(g(3.5))  = 2{(3.5)² -4(3.5) + 4} = 2[12.25 - 14 + 4] = 2(2.25)    = 4.5.

g(f(3.5))  = 2{(3.5)² -2} = 2{12.25 - 2}                     = 2(10.25)   = 20.5.

f(g(0))     = 2{0 - 4(0) + 4}  = 2(4)                                               =  8.

g(f(0))     = 2{0 - 2}                         = 2(-2)                                 = -4.

Arranging them in ascending order, we get:

-4     4     4.5     8     20.5     32 would be the sequence.

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The first and fourth terms of a proportion are called the means.
expeople1 [14]

Answer:

Never is the correct answer.

Step-by-step explanation:

The 1st and 4th terms are the extremes, the 2nd and 3rd terms are the means.

6 0
2 years ago
HELP!!!!!!!
igomit [66]

Substituting the data points into the model:

f(x)= -x2 + 2x -3

f(-2)=-11

f(0)=-3

f(1)=-2

f(3)=-6

f(5)=-18

So A is the right ans.


7 0
3 years ago
Read 2 more answers
Francis works at Carlos Bakery and is making cookie trays. She has 48 chocolate chip cookies, 64 rainbow cookies, and 120 oatmea
amm1812

The number of cookies and trays are illustrations of greatest common factors.

  • The number of trays is 8
  • 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

The given parameters are:

\mathbf{Chocolate\ chip=48}

\mathbf{Rainbow=64}

\mathbf{Oatmeal=120}

<u>(a) The number of trays</u>

To do this, we simply calculate the greatest common factor of 48, 64 and 120

Factorize the numbers, as follows:

\mathbf{48 = 2 \times 2 \times 2 \times 2 \times 3}

\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}

\mathbf{120 = 2 \times 2 \times 2 \times 3 \times 5}

So, the GCF is:

\mathbf{GCF= 2 \times 2 \times 2}

\mathbf{GCF= 8}

Hence, the number of tray is 8

<u>(b) The number of each type of cookie</u>

We have

\mathbf{Chocolate\ chip=48}

\mathbf{Rainbow=64}

\mathbf{Oatmeal=120}

Divide each cookie by the number of trays

So, we have:

\mathbf{Chocolate\ chip = \frac{48}{8} = 6}

\mathbf{Rainbow = \frac{64}{8} = 8}

\mathbf{Oatmeal = \frac{150}{8} = 15}

Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

Read more about greatest common factors at:

brainly.com/question/11221202

4 0
2 years ago
Solve the following system of equations and show all work. <br><br> y = -x^2 + 4<br> y = 2x + 1
Pavel [41]
-x^2 + 4 = 2x + 1
-x^2 - 2x + 4 - 1 = 0
-x^2 - 2x + 3 = 0
(x + 3)(-x + 1)= 0

x + 3 = 0           -x + 1 = 0
x = -3                -x = -1
                          x = 1

so x = -3 and x = 1
8 0
3 years ago
Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units d
Leya [2.2K]

Answer: Option a.

Step-by-step explanation:

 1. You have the following parent function given in the problem above:

f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)

2. If you take the parent function and make y=f(x+3), then you have:

y=f(x+3)=(x+3)^{3} (The function is shifted 3 units left on the x-axis).

3. Then you if you make y=f(x+3)-2, as following, you obtain:

y=f(x+3)-2=(x+3)^{3}-2  (The function is shifted 2 units down on the y-axis).

4. Therefore, that is how you obtain the final function.

The answer is the graph shown in the option a.

6 0
3 years ago
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