Answer:
6 days
Step-by-step explanation:
Step one:
Given data
For Ray
He has 16 pages already
Now he is writing 2 pages per day
let x be the number of days
and y be the total number of pages writen
the linear function for the situation is given as
y=2x+16-------------1
For Claudia
He has 2 pages already
Now he is writing 4 pages per day
let x be the number of days
and y be the total number of pages writen
the linear function for the situation is given as
y=4x+2-------------2
Step two:
let us equate equation 1 and 2 to find x
2x+16=4x+2
collect like terms
2x-4x=2-16
-2x=-12
divide both sides by -2
x=12/2
x=6
Therefore it will take 6 days for them to have the same number of pages
For answer b the answer is 3d + 5w
For answer c the answer is 2a + 3b + 4c
Answer:
The image will be congruent to ΔMNP.
Line EG will be perpendicular to the line segments connecting the corresponding vertices.
The line segments connecting corresponding vertices will all be parallel to each other.
Step-by-step explanation:
The reflected image will be the mirror image of ΔMNP, so it will be congruent. The lines connecting each vertex to the corresponding vertex will be parallel, and all three lines are perpendicular to EG.
The idea is to use the zero product property in reverse to go from the roots to the factorization. Then you expand out the polynomial using the distributive property.
x = 5 or x = 7 or x = -8
x-5 = 0 or x-7 = 0 or x+8 = 0
(x-5)(x-7)(x+8) = 0
(x-5)(x^2+x-56) = 0
x(x^2+x-56) - 5(x^2+x-56) = 0
x^3+x^2-56x -5x^2-5x+280 = 0
x^3-4x^2-61x+280 = 0
f(x) = x^3 - 4x^2 - 61x + 280
<h3>Answer: Choice D</h3>
Use the distributive formula
a(b - c) = ab - ac