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yanalaym [24]
3 years ago
7

What is the slope of the line described below? Y-9=15(x-5)

Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

slope = 15

the equation of a line in ' point- slope form ' is

y - b = m(x - a) → ( where m is the slope and (a, b) a point on the line)

y - 9 = 15(x - 5) is in this form

thus slope = m = 15



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Assuming that $3u + 12v\neq0$, simplify $\dfrac{12u^3 + 48u^2v}{3u+12v}$.
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Answer:

  4u²

Step-by-step explanation:

  \dfrac{12u^3 + 48u^2v}{3u+12v}=\dfrac{12u^2(u+4v)}{3(u+4v)}=\boxed{4u^2}

Common factors cancel from numerator and denominator. The one factor that might make the expression undefined is given as non-zero, so no additional restrictions apply.

5 0
3 years ago
Which of the following numbers is between 0.40 and 0.47?
ira [324]

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3 0
3 years ago
Please help. Not sure how to do this one
Sladkaya [172]

The correct answer is: Option 3: (hofog)(x)=\frac{x-14}{x+4}

Step-by-step explanation:

Given

f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2

We have to find

(hofog)(x)

This will be equal to:

h(f(g(x)))

So we have to find the composition of (fog)(x) first

(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}

Now,

(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}

The correct answer is: Option 3: (hofog)(x)=\frac{x-14}{x+4}

Keywords: Composition, Functions

Learn more about function composition at:

  • brainly.com/question/10015690
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8 0
3 years ago
X2 +8x+16=0 in factoring algorithm
Setler79 [48]

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4 0
3 years ago
Elimination using addition and subtraction. <br> -4x+4y=-20<br> -2x+4y=-2
goldfiish [28.3K]

I would subtract the 2nd from the first one

so -4x - -2x = -2x

4y - 4y = 0

-20 - -2 = -18


-2x = -18

now I would divide that by -2 to get the value for x

so no we have x = 9


now you just have to substitute that into one of the equations and simplify to get y


-2 X 9 + 4y = -2

-18 + 4y = -2

4y =16

y = 4



3 0
3 years ago
Read 2 more answers
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