C. The vertexes are the same. The functions' vertex (h,k) values were not altered, just a (stretch/compress).
Answer:
1/6
Step-by-step explanation:
It is a 6 sided die, so you have 6 possibilities, so that is going to be you denominator.
There is only one number 2 on the die, so you have 1 as your numerator.
The bill total would be $140 because there are seven people (6 friends+Jacob) and each payed $20. (7)(20)
Answer:
= - 
Step-by-step explanation:
Given
= 
( cross- multiply )
2(a - b) = 3(a + 2b) ← distribute parenthesis on both sides )
2a - 2b = 3a + 6b ( subtract 3a from both sides )
- a - 2b = 6b ( add 2b to both sides )
- a = 8b ( divide both sides by 8 )
- a = b ( divide both sides by a )
- =
Answer:
x = 12
Step-by-step explanation:
<u>To find "x"</u>, we need to <u>isolate it</u>. This means move "x" to the left side, and everything else to the right side.
When moving a number, do its <u>reverse operation</u> to the entire equation.
x + 9 = 2x - 3
x - 2x + 9 = 2x - 2x - 3 Subtract 2x from both sides
-x + 9 = -3
-x + 9 - 9 = -3 - 9 Subtract 9 from both sides
-x = -12
-x/-1 = -12/-1 Divide both sides by -1 to get rid of the negatives
x = 12 Final answer
Check your answer. Split the equation for the left and right sides. Substitute "x" for the answer "12".
LS: (left side)
x + 9
= 12 + 9 Add
= 21
RS: (right side)
2x - 3
= 2(12) - 3 Multiply before subtracting
= 24 - 3 Subtract
= 21
Both sides equal to 21 when "x" is 12.
LS = RS left side equals right side
Therefore the answer is correct.
