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Verizon [17]
3 years ago
11

The functions s and t are defined as follows.

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
6 0
-77
You first solve for s(x) by plugging in 5 as the variable
-3*5-4=-19
You then plug the -19 into t(x) and 4*-19-1= -77
kkurt [141]3 years ago
5 0
<h2>Hello!</h2>

The answer is:

t(s(5))=-77

<h2>Why?</h2>

To solve the problem, first, we need to compose the functions, and then evaluate the obtained function. Composing function means evaluating a function into another function.

We have that:

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

From the statement we know the functions:

s(x)=-3x-4\\t(x)=4x-1

We need to evaluate the function "s" into the function "t", so:

t(s(x))=4(-3x-4)-1\\\\t(s(x))=-12x-16-1=-12x-17

Now, evaluating the function, we have:

t(s(5))=-12(5)-17=-60-17=-77

Have a nice day!

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Solve the equation p^2 + 4p = 1 by completing the square.
igor_vitrenko [27]

Answer:

p = -2 ±sqrt( 5)

Step-by-step explanation:

p^2 + 4p = 1

Take the coefficient of p

4

Divide by 2

4/2 =2

Square it

2^2 = 4

Add it to each side

p^2 + 4p+4 = 1+4

(p+2) ^2 = 5

Take the square root of each side

sqrt((p+2) ^2) =±sqrt( 5)

p+2 = ±sqrt( 5)

Subtract 2 from each side

p+2-2 = -2 ±sqrt( 5)

p = -2 ±sqrt( 5)

7 0
3 years ago
What is the range of F(x)=72x-x^2
Marianna [84]

Answer:

Range of F(x) = (-∞ ,72).

Step-by-step explanation:

Range of the function F(x) means the set of values which are taken by the function along its domain.

F(x) = 72 - x^{2}

Since coefficient of x^{2} is negative on the right side ,

Maximum value of F(x) will come at x = 0.

Which is, F(0) = 72.

Now, as x increases , F(x) decreases , when x will reach infinity ,

F(x) will be reaching negative of infinity .

Thus, F(x) is ranging from -∞ to 72 .

Range of F(x) = (-∞ ,72).

3 0
3 years ago
Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of t
dusya [7]
1) 7/2 = 3.5
2) 3.5 * 3 = 10.5
answer: 10.5 
4 0
3 years ago
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blagie [28]

Answer: 14 Pizzas

2 pizzas means each kid gets one

so 7 times 2 is 14 so I beleive the answer is 14


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3 years ago
When you divide a number by 1/2, the result is
Nikitich [7]
Let us analyze the following situation: The number we want to divide by 1/2 is X. We can write:
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W<span>hen you divide a number by 1/2, the result is twice the original number . Answer:B</span>
6 0
3 years ago
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