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Artyom0805 [142]
3 years ago
9

If h(x) = (fºg)(x) and h(x)= 5(x+1)^3 find one possibility for f (x) and g(x).

Mathematics
1 answer:
viktelen [127]3 years ago
6 0

Answer:

One possibility is that;

g(x) = (x + 1)

while h(x) = 5x^3

Step-by-step explanation:

Here, we are told to find one possibility for f(x) and g(x)

The term h(x) = (Fog)(x) means that we are inserting g(x) into f(x) to give h(x)

Now let’s have it this way;

We can see that g(x) = (x + 1) , then h(x) = 5x^3

This is one possibility of the values of g(x) and h(x)

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Solve the system using elimination.<br> 2x + 18y = -9<br> 4x + 18y = -27
Elan Coil [88]

First, let's cancel out the x by multiplying 2x + 18y = -9 by -2.

-2 ( 2x + 18y = -9) = -4x -36y = 18

Then, we combine the two equations.

-4x + 4x = 0

18y - 36y = -18y

-27 + 18 = -9

Our new equation is -18y = -9.

Now, divide both sides by -18.

-18y / -18 = y

-9/ -18 = 1/2

y = 1/2

We can plug in a value for y since y = 1/2 now.

Let's use 2x + 18y = -9

Plug in y.

2x + 18(1/2) = -9

2x + 9 = -9

Then, subtract 9 from both sides.

2x = -18

Divide by 2.

2x/2 = x

-18/2 = -9

x = -9

Lastly, we can plug in both x and y values to see it works.

2(-9) + 18(1/2) = -9

-18 + 9 = -9

Therefore, the values of x and y does work.

x = -9

y = 1/2

4 0
3 years ago
Mr. Pennington had a board 2 1/4 feet long. He
Alisiya [41]
Me. Pennington had 6 inches left over.

Explanation.
2 1/4 feet is equal to 27 inches. If he used 21 inches, then he'd had 6 inches left over; 27-21=6.

Have a good day!
7 0
3 years ago
What is the difference between the altitude rule and the leg rule?
aivan3 [116]
The leg rule is hypotenuse/leg and the altitude rule is side 1/altitude=altitude/side 2
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2 years ago
The time a projectile spends in the air can be modeled by the equation t² -t - 8 = 0, in which t represents the amount of time t
s2008m [1.1K]

Answer:

(t - 4)(t + 2) = 0  

Step-by-step explanation:

The general formula for a quadratic expression is

y = ax² + bx + c

Your expression is

y = t² - 2t - 8 = 0

By comparison, we see that

a = 1; b = -2; c = -8

1. Find two numbers that multiply to give ac and add to give b.

In this case, find two numbers that multiply to give -8 and add to give -2.

It helps to list the factors of  -8.

They are ±1, ±2, ±4, and ±8

After a little trial and error, you should find the numbers -4 and +2.

-4 × 2 = -8, and -4 + 2 = -2)

2. Rewrite the middle term with those numbers

t² -4t + 2t - 8 = 0

3. Factor the first and last pairs of terms separately

t(t - 4) +2(t - 4) = 0

4. Separate the common factor

The common factor is t - 4.

(t - 4)(t + 2) = 0

8 0
3 years ago
Which of these is an Irrational number?
finlep [7]

Answer:

the anser and the

Step-by-step explanation:

6 0
2 years ago
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