Answer:
Step-by-step explanation:
f(x)=-4x+2
g(x)=x²+1
(gof)(x)=g(f(x))=g(-4x+2)=(-4x+2)²+2=16x²-16x+4+2=16x²-16x+6
(gof)(3)=16(3)²-16(3)+6=144-48+6=150-48=102
7x-4=2
add 4 to both sides
7x=2+4
7x=6
divide 7 to both sides
x=6/7
Answer:
Here's what I get
Step-by-step explanation:
a. Write an equation
(8x + 12y)² + (6x + 9y)²= (10x + 15y)²
b. Transform the equation
(i) Remove parentheses
64x² +192xy + 144y² + 36x² + 108xy + 81 y² = 100x² +300xy + 225y²
(ii) Combine like terms.
100 x² + 300xy + 225y² = 100x² +300xy + 225y²
The two sides are the same.
The equation is an identity.
Answer:
x < 12
Step-by-step explanation:
So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:
8(x+26) < 304
Lets start to solve for x by dividing by 8, giving us:
x+26 < 38
Now lets isolate x by subtracting 26 from both sides, which gives us our answer:
x < 12
So x is less than 12.
Hope this helps!
