Answer:
x^3 - 3x^2 + 5x - 15
x^2(x-3) +5(x-3)
(x^2 + 5)(x - 3) <==Answer
Step-by-step explanation:
Let’s define our variables:
D = dad’s age now
S = son’s age now
Given:
D=4S now
D+4=3(S+4) in 4 years
We can expand the second equation:
D+4=3S+12
D=3S+8
And we can subtract it from D=4S
D=4S-(D=3S+8)
0=S-8
S=8 the son’s age now.
D=4S=4(8)=32 the father’s age now
Check:
32+4=3(8+4)
36=3(12)
36=36 Check
I hope this helps you
Answer:
x = 79
Step-by-step explanation:
180 - 101 = x
x = 79
If it has rational coefients and is a polygon
if a+bi is a root then a-bi is also a root
the roots are -4 and 2+i
so then 2-i must also be a root
if the rots of a poly are r1 and r2 then the factors are
f(x)=(x-r1)(x-r2)
roots are -4 and 2+i and 2-i
f(x)=(x-(-4))(x-(2+i))(x-(2-i))
f(x)=(x+4)(x-2-i)(x-2+i)
expand
f(x)=x³-11x+20
Answer:
303.63 sq inches
Step-by-step explanation:
We need to find the area of the two rectangles he cuts and add them together.
The area of a rectangle is given as:
A = L * B
The first rectangle is 16 inches × 12 1/4 inches. Its area is:
A = 16 * 12 1/4 = 16 * 49/4 = 196 sq inches
The second rectangle is 10 1/2 inches by 10 1/4 inches. Its area is:
A = 10 1/2 * 10 1/4 = 21/2 * 41/4 = 107.63 sq inches
The total square inches of construction paper that he needs is:
196 + 107.63 = 303.63 sq inches