Which pair shows equivalent expressions?
A.2(2/5x + 2)=2 2/5x + 1
B.2(2/5x + 2)=4/5x + 4
C.2(2/5x + 4)=4/5x + 2
D.2(2/5x + 4)=2 2/5x + 8
Solution:
Let us distribute 2 inside the parenthesis.
That is, we use distributive property:
a(b+c)=ab+ac
So, 
Answer:Option (b)
Applying distributive property, a(b+c)=ab+ac
So, Option (B) is correct.
V = 4/3 * pi * r^3
V = 4/3 * 3.14 * 21^3
Simplify exponent:
V = 4/3 * 3.14 * 9261
Multiply:
V = 38772.72
Answer:
x: -5, -3, 0, 1, 4
y:-23, -15, -3, 1, 13 for the function.
x:-23, -15, -3, 1, 13
y: -5, -3, 0, 1, 4 for the inverse.
Step-by-step explanation:
we know that if we have the function f(x) = y, then the inverse of f(x) (let's call it g(x)) is such that:
g(y) = x.
now we have
y=4x-3
y=(1/4)x+3/4
The only table that works for our first function is:
x: -5, -3, 0, 1, 4
y:-23, -15, -3, 1, 13
You can see this by replacing the values of x and see if the value of y also coincides.
Then, using the fact that the other table must be for the inverse, we should se a table with the same values, but where the values of x and y are interchanged.
The second table is that one:
x:-23, -15, -3, 1, 13
y: -5, -3, 0, 1, 4
Answer:
the y intercept is 4
and frm that point to another spot on the line you go DOWN one unit (negative)
and two units to positive (to the right) thus the slope is - 1 (down) and 2 positive to the right
-1/2 = slope
y = -1/2 + 4
Step-by-step explanation:
X=1
To solve this you start by adding like terms on the left side and doing the distributive property and adding like terms on the right. This would get you
4x+7=3x+8
Then you minus 3x on both sides getting
x+7=8
Then subtract 7 from both sides getting x=1.
