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alina1380 [7]
3 years ago
13

F(x)=-5x+2 and g(x)=1/2x+4 find f(g(12))

Mathematics
1 answer:
skad [1K]3 years ago
3 0

Answer:

- 48

Step-by-step explanation:

If you want to learn more about this concept, it's called composition of functions.

First, you plug in g(x) as if it were x into f(x).

f(g(x))= -5 (1/2x + 4) + 2

= -5/2x - 20 + 2

= -5/2x - 18

Then, plug in the value given, as x.

= -5/2 (12) - 18

= -30 - 18

= - 48

I hope this helped!

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Which one is the answer??
BARSIC [14]

Answer:

B

Step-by-step explanation:

City X = 3 * 10^5            Given

City Y = 6 * 10^6

Times larger

6 * 10^6

3 * 10^5

Do the division

6*10^6/3^10^5 = 60 * 10^5/(3 * 10^5)   Note 10^5 will cancel

60/3 = 20 City y is 20 times City x

Population Difference

6,000,000

   300,000

5,700,000

Just from the numbers I've given you, A is incorrect. The answer is 20 not 2.

B is the answer

C is wrong. X is 5.7 million less.

D See the answer for C.

8 0
3 years ago
Create triangle A’B’C by reflecting triangle ABC over the y-axis on the coordinate plane. What are the new coordinates of the ve
pickupchik [31]

Answer:

Step-by-step explanation:

When talking about reflection, we usually mean reflecting across a line, or axis. Reflecting a shape means looking at the mirror image on the other side of the axis. Consider the point (x,y), if you reflect this point across the y-axis you should multiply the x-coordinate by -1, so you get:

(x,y)\rightarrow(-x,y)

For triangle ABC we have:

A(-4,2) \\ \\ B(-1,3) \\ \\ C(-1,-4)

Therefore, the reflecting points are:

A'(4,2) \\ \\ B(1,3) \\ \\ C(1,-4)

Both the original triangle and the reflected one are shown below.

8 0
3 years ago
When you solve a problem involving money what can a negative answer represent?
kati45 [8]
A negative balance of money could represent debt or money owed.
4 0
3 years ago
Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
butalik [34]

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

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  Therefore x = 45 ÷  7.5 = 6

6 0
3 years ago
to build the garden of your dreams you need 11 m^3 of coil containing 46% clay. you have two types of soil you can combine to ac
aivan3 [116]

Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required

Step-by-step explanation:

Let x represent the quantity of the soil containing 50% clay that you would use.

Let y represent the quantity of the soil containing 28% clay that you would use.

To build the garden of your dreams you need 11 m^3 of soil.

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Since the soil must contain 46% clay, the total amount of clay required is 46/100 × 11 = 5.06 m^3.

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y = - 0.44/ -0.22 = 2

Substituting y = 2 into x = 11 - y, it becomes

x = 11 - 2 = 9

7 0
3 years ago
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