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Olegator [25]
4 years ago
15

Consider the functions f(x)=4x+15 and g(x)=x^2-x+6. At what positive integer value of x does the quadratic function, g(x), begin

to exceed the linear function, f(x)?
Mathematics
1 answer:
djyliett [7]4 years ago
3 0

Answer:

At x=7

Step-by-step explanation:

Let's evaluate!!

When x = 6

f(6) = 4*6 + 15 = 24 + 15 = 39

g(6) = 6² - 6 + 6 = 36

When x = 7

f(7) = 4*7 + 15 = 28 + 15 = 43

g(7) = 7² - 7 + 6 = 48

Check!! When x=7, g(x) excees f(x).

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I’ll give Brainly but can somebody help me with this?
AfilCa [17]

Answer:

give me 2 minutes and I will

5 0
2 years ago
Explain why the equation (x-3)^2-38=11 has two solutions. Then solve the equation to find the solutions. Show your work.
skelet666 [1.2K]

Answer:

X = 10 and X = -4

Step-by-step explanation:

(x-3)^2-38=11

(x-3)^2 = 11 +38

(x-3) ^2 = 49

Taking square root on both sides

√(x-3) ^2 = √ 49

X-3 = +7, -7

X = 7 +3,    X= -7+3

X = 10        X = -4

So, it has got two solutions

4 0
3 years ago
Let f(x) = 3 * sqrt(x) + 7. Define g$to be the inverse of f.
aliina [53]

By using the definition of inverse functions, we will see that:

g(g(f(f(f(36))))) = f(36) = 25.

<h3>What are inverse functions?</h3>

Two functions f(x) and g(x) are inverses if:

f( g(x) ) = x

g( f(x) ) = x

Then we can rewrite:

g(g(f(f(f(36)))))

First, we can see that:

g(f(f(f(36)))) = f(f(36))

Replacing that in our expression, we get:

g(g(f(f(f36))))) = g(f(f(36)))

And the above expression is equal to f(36), to be sure of that, let's replace:

u = f(36)

Then we can rewrite:

g(f(f(36))) = g(f(u))

And by definition, the above thing is equal to u:

g(f(u)) = u = f(36).

Finally, we conclude that:

g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25

If you want to learn more about inverse functions, you can read:

brainly.com/question/12220962

4 0
2 years ago
What is the quotient of a number and three is negative four
Alecsey [184]

Answer:

-7

Step-by-step explanation:

7-3=4

3 0
3 years ago
PLS HURRY AND DONT SENT LINKS
VMariaS [17]

Answer: D, 6 + 8

Step-by-step explanation:

A negative plus a negative always equals a positive. So -(-8) would be +8.

A is incorrect since the 6 was never negative.

B is incorrect since both numbers are negative.

And C is incorrect since the 8 isn't supposed to be negative.

Thank you for the points. Have a nice day.

5 0
3 years ago
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