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Rom4ik [11]
3 years ago
11

If f(x) = 2x - 6 and g(x) = 3x + 9, find (f + g)(x).

Mathematics
2 answers:
Yuliya22 [10]3 years ago
7 0

Answer:

\large\boxed{(f+g)(x)=5x+3}

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)\\\\f(x)=2x-6,\ g(x)=3x+9\\\\\text{Substitute:}\\\\(f+g)(x)=(2x-6)+(3x+9)\\\\=2x-6+3x+9\qquad\text{combine like terms}\\\\=(2x+3x)+(-6+9)\\\\=5x+3

Masteriza [31]3 years ago
4 0

Answer:

(f-g)(x)= -x-15

Step-by-step explanation:

just did it on apex test

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Please help me figure this out explain it to me
jeka94

Answer:

40yd

Step-by-step explanation:

area of total minus unshaded portion

8 0
3 years ago
A tree that is 4 ft tall is growing at a rate of 1 ft each year a tree that is 12 feet tall is growing at a rate of 1/2 ft each
Andreyy89

Answer:

16 years

Step-by-step explanation:

Given data

For the first tree

let the expression for the height be

y=4+x--------------1

where y= the total height

          4= the initial height

          x= the number of years

For the second tree, the expression is

y=12+0.5x-------------2

Equate 1 and 2

4+x=12+0.5x

x-0.5x=12-4

0.5x= 8

x= 8/0.5

x=16

Hence it will take 16 years for both trees to have the same height

5 0
3 years ago
1.2 if a = -6, b = +4, c = -3 and d = -2 Calculate the value of :-
aalyn [17]

Answer:

a)ab=-6×+4=-24

b)a÷d=-6÷-2=3

c)2bd=2×+4×-2=-16

Step-by-step explanation:

Put the values according to the question

Hope it help you

7 0
3 years ago
PLEASE HELP!!This is joshs solution for the equation x^2-6x-7=0: x^2-6x-7=0
iren [92.7K]

Answer:

  no. see below

Step-by-step explanation:

This much of Josh's working is correct:

  x^2-6x=7

  x^2-6x+9=7+9

  (x-3)^2=16

At this point Josh apparently overlooked the fact that he needed to take the square root of both sides of the equation. Had he done that, he would have ...

  x -3 = ±4

  x = 3+4 . . . or . . . 3 -4

  x = 7 or -1

_____

Josh reported values of x that would match ...

  x -3 = ±16

He <em>violated the equal sign</em> by taking the square root on the left, and multiplying by ±1 on the right. Doing different operations on the two sides of the equation will mean the value of x is changed to something other than what you're looking for.

4 0
3 years ago
Verify that the divergence theorem is true for the vector field f on the region
schepotkina [342]
\mathbf f(x,y,z)=5x\,\mathbf i+xy\,\mathbf j+2xz\,\mathbf k

\mathrm{div}(\mathbf f)=\dfrac{\partial(5x)}{\partial x}+\dfrac{\partial(xy)}{\partial y}+\dfrac{\partial(2xz)}{\partial z}=5+x+2x=5+3x


By the divergence theorem, the flux of \mathbf f across the boundary of E is given by


\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_E\mathrm{div}(\mathbf f)\,\mathrm dV

=\displaystyle\int_{z=0}^{z=2}\int_{y=0}^{y=2}\int_{x=0}^{x=2}(5+3x)\,\mathrm dx\,\mathrm dy\,\mathrm dz=64
4 0
4 years ago
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