Answer:
a = 1
Step-by-step explanation:
1. distribute the -6 on the left into the parentheses. you should get -36a + 30.
2. on the side right of the =, distribute the -2 to get -16 + 10a.
now it should look like -36a + 30 = -16 + 10a.
3. move the terms over to isolate the a value. subtract 30 to the right side to get -46 (-36a=-46+10a)
4. move the 10a on the right to the left by subtracting it to the other side.
(-46a=-46)
5.divide by -46 to get a=1
Answer:
See explanation
Step-by-step explanation:
Given the function
1. To reflect the graph of the function f(x) over the y-axis, you should change the slope of the line in opposite. The slope of the function f(x) is 7, so the slope of the reflected function will be -7 and the expression of the reflected function will be
2. To translate the function g(x) 3 units left, add 3 units to x, thus the expression for the function will be
See attached diagram for details.
The inverse of
is
. (This eliminates B and D)
translates to "if
, then
". This means the answer must be A.
He needs to learn >10 new plays, but has already learned 4. Therefore, the inequality is x+4>10, where x is the amount of new plays he must learn, 4 is the amount he has already learned and >10 (more than 10) is the amount of plays he needs to learn in total.
x+4>10
x>6 is the solved inequality