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aleksandr82 [10.1K]
3 years ago
10

Given the function f(x) = 8x+2, evaluate f(6),

Mathematics
2 answers:
astraxan [27]3 years ago
8 0

Answer:

f(6)=50

Step-by-step explanation:

f(6)=8(6)+2

f(6)=48+2

f(6)=50

motikmotik3 years ago
3 0

Answer: 50

Step-by-step explanation:

f(6) =8(6)+2

f(6)=48+2

f(6)=50

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What is the slope of the line with the equation y +2 = -3(x – 7)?
Citrus2011 [14]

Answer:

A.m = -3

Step-by-step explanation:

This equation is written in point slope form

y-y1 = m(x-x1)

y +2 = -3(x – 7)

y - -2 = -3(x – 7)

The slope is -3 and the point is (7, -2)

5 0
2 years ago
P(x)=Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,12).
Mila [183]

Answer:

The polynomial is:

p(x) = -x^3 - 2x^2 + 5x + 6

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

Zeros of −3, −1, and 2

This means that x_1 = -3, x_2 = -1, x_3 = 2. Thus

p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)

p(x) = a(x - (-3))*(x - (-1))*(x-2)

p(x) = a(x+3)(x+1)(x-2)

p(x) = a(x^2+4x+3)(x-2)

p(x) = a(x^3+2x^2-5x-6)

Passes through the point (1,12).

This means that when x = 1, p(x) = 12. We use this to find a.

12 = a(1 + 2 - 5 - 6)

-12a = 12

a = -\frac{12}{12}

a = -1

Thus

p(x) = -(x^3+2x^2-5x-6)

p(x) = -x^3 - 2x^2 + 5x + 6

6 0
3 years ago
Please help me with questions 13-22!! I know I already answered 14 but if it is wrong please tell me!!! I don't have much time!!
neonofarm [45]

Answer:

13. no solution

15. 3

16. 2

17. 5

18. -8

19. -7

20. 6

21. -5

22. -7

3 0
3 years ago
Please help me with geometry questions :((
snow_lady [41]

Answer:

14.\:\:\overline{RT}=3.3\:ft

Step-by-step explanation:

Using the definition of similar triangle, we have the equation for problem no. 14 as:

\frac{\overline{QT}}{\overline{RT}}=\frac{\overline{RT}}{\overline{TS}}\\\\\frac{5}{x}=\frac{x}{2.2}\\\\\Rightarrow x=3.3

Best Regards!

6 0
3 years ago
Read 2 more answers
If <img src="https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cfrac%7B1%7D%7Bx-2%7D%20" id="TexFormula1" title="f(x)= \frac{1}{x-2} " alt
Darina [25.2K]
I think, the answer will be -7

We have:
f(x)=1/(x-2)
g(x)
Then:
(fg)(x)=[1/(x-2)](g(x))=g(x)/(x-2)
Now; we calculate: (fg)`(x)
Remember: (u/v)=(u`v-vu´)/v²
Therefore:

(fg)´(x)=[g´(x)*(x-2) - 1*g(x)]/ (x-2)²
We know that:
g´(1)=-1
(fg)´(1)=6
Therefore:
6=[-1*(1-2)-g(1)]/(1-2)²
6=[1-g(1)]/1
6=1-g(1)
-g(1)=6-1
g(1)=-5

Answer: B. -5
4 0
3 years ago
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