~ Simplifying
-4x + -4 = -7(x + 4)
~ Reorder the terms:
-4 + -4x = -7(x + 4)
~ Reorder the terms:
-4 + -4x = -7(4 + x)
-4 + -4x = (4 * -7 + x * -7)
-4 + -4x = (-28 + -7x)
~ Solving
-4 + -4x = -28 + -7x
~ Solving for variable 'x'.
~ Move all terms containing x to the left, all other terms to the right.
~ Add '7x' to each side of the equation.
-4 + -4x + 7x = -28 + -7x + 7x
~ Combine like terms: -4x + 7x = 3x
-4 + 3x = -28 + -7x + 7x
~ Combine like terms: -7x + 7x = 0
-4 + 3x = -28 + 0
-4 + 3x = -28
~ Add '4' to each side of the equation.
-4 + 4 + 3x = -28 + 4
~ Combine like terms: -4 + 4 = 0
0 + 3x = -28 + 4
3x = -28 + 4
~ Combine like terms: -28 + 4 = -24
3x = -24
~ Divide each side by '3'.
x = -8
~ Simplifying
x = -8
Answer:
27, 30, 33
Step-by-step explanation:
Since Sam has fewer number of baseball cards than Jill who has 36 baseball cards and can arrange all his cards in only three ways, the possible number of baseball cards that Sam could have is 27, 30 or 33.
If he has 27 baseball cards, he can arrange 9 baseball cards per row in 3 rows
If he has 30 baseball cards, he can arrange 10 baseball cards per row in 3 rows
If he has 33 baseball cards, he can arrange 11 baseball cards per row in 3 rows
To find both f(8) and f(-5), we will need to plug in their values for x and solve for each. Then, we can subtract them to find the final answer.
Finding f(8):
f(8) = 3(8) - 2
f(8) = 24 - 2
f(8) = 22
Finding f(-5):
f(-5) = 3(-5) - 2
f(-5) = -15 - 2
f(-5) = -17
Subtracting f(8) and f(-5):
f(8) - f(-5)
22 - - 17
22 + 17
39
Hope this helps!! :)
Answer:
13
Step-by-step explanation:
First drop the line.
How many units is it from Point r to the x axis?
12.
How many units is it from Point r to the y axis?
5.
Now we can use the Pythagorean Theorem.
