Answer:
5x+8y
Step-by-step explanation:
We can first open the brackets by using the distrubitive propety.
2(x+4y)+3x
2x+8y+3x
Now we can combine like terms.
5x+8y.
I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.
Hoped this helped,
JoeLouis2
Answer:
It is important so you can know how your body works. Like how your body takes in food and all just so you know how to design your plan.
Step-by-step explanation:
Remember that the general equation of a line is

, where:

is the slope, and

is the y-intercept; so to find the y-intercept, solve for

and identify

.
Now, to find the x-intercept, just replace

in your line equation with

, and solve for

Lets apply those procedures to our two questions:
1. - y-intercept:




Notice that now we have our line equation in the form

with

and

; sine

is the y-intercept, we can conclude that the y-intercept of our equation is 8.
x-intercept:
First, lets replace

with

:

And then, we can solve for

to find our x-intercept:



We can conclude that our x-intercept is -4; thus the correct answer in your list is the fourth one:
x-intercept is -4; y-intercept is 8.
2. y-intercept:




We can conclude that our y-intercept is 20.
x-intercept:




We can conclude that our x-intercept is 16; thus the correct answer in your list is, once again, the fourth one:
x-intercept is 16; y-intercept is 20.
Answer:
x=3 meters
Step-by-step explanation:
step 1
Find the area of the rectangular pool

we have

substitute

step 2
Find the area of rectangular pool including the area of the walkway
Let
x ----> the width of the walkway
we have

substitute

step 3
Find the area of the walkway
To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway
so

step 4
Find the value of x if the area of the walkway equal the area of the pool
so

Solve for x

Solve the quadratic equation by graphing
The solution is x=3 meters
see the attached figure
Answer:
P(2)=0 then x-2 is a factor of P(x)
Step-by-step explanation:
To see if (x-2) is a factor just plug in 2 for x into the polynomial expression.
2(2)^3-3(2)^2-17(2)+30
2(8)-3(4)-34+30
16-12-34+30
4-34+30
-30+30
0
Since P(2)=0 then x-2 is a factor