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Alexxx [7]
3 years ago
7

What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?

Mathematics
1 answer:
Nana76 [90]3 years ago
5 0
I hope this helps you

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If ∠C and ∠D are vertical angles and m ∠ C = x + 5 and m ∠ D = –2x + 80, what is m ∠ C?
amm1812

Answer:

m∠C=30°

Step-by-step explanation:

we know that

<u>Vertical Angles</u> are the angles opposite each other when two lines cross. They are always equal

so

m∠C=m∠D

substitute the given values

(x+5)\°=(-2x+80)\°

Solve for x

x+2x=80-5\\3x=75\\x=25

<em>Find the measure of angle C</em>

m∠C=(x+5)°

substitute the value of x

m∠C=(25+5)=30°

3 0
3 years ago
Choose the equation that represents the graph below: (1 point) Graph of a line passing through points 0 comma 6 and 9 comma 0 y
aleksklad [387]

Answer:

Option C is correct.

Equation of a line y=\frac{-2}{3}x+6 passing through (0,6) and (9,0).

Explanation:

Given the two points (0, 6) and (9 ,0).

To find the equation for the given two points (x_{1},y_{1}) and (x_{2},y_{2}) is,

y-y_{1}=m(x-x_{1}); where m is the slope and is given by:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

First find the slope m:

m=\frac{0-6}{9-0} =\frac{-6}{9} =\frac{-2}{3}

Substitute this value in equation of line:

y-6=\frac{-2}{3} (x-0) or

y-6=\frac{-2}{3} x

⇒ y=\frac{-2}{3}x+6

Therefore, the equation for the given point is:  y=\frac{-2}{3}x+6


7 0
3 years ago
Devaughn is 15 years younger than Sydney. The sum of their ages is 73. What is Sydney’s age?
Olegator [25]

Answer:

Sydney is 44 years old

Step-by-step explanation:

<u>Step 1:  Make a system of equations </u>

d = s - 15

<em>d + s = 73 </em>

<u>Step 2:  Plug in s - 15 for d in the second equation and solve </u>

s - 15 + s = 73

2s - 15 = 73 + 15

2s  / 2= 88 / 2

<em>s = 44 </em>

Answer:  Sydney is 44 years old

6 0
4 years ago
Read 2 more answers
Factor the trinomial
wel
6a³-18a²-1620a
Collect 6a:
6a(a²-3a-270)
6a(a-18)(a+15)
3 0
3 years ago
IM GIVING 40 POINTS PLEASEEEEE
Mars2501 [29]

Answer:

Answer is $110.25. You figure out how.

Step-by-step explanation:

7 0
3 years ago
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