A function is shifted vertically upwards/downwards by adding/subtracting a constant value to the function.
In this case f(x) was shifted upwards by 3 units.
Answer:
x = 4
Step-by-step explanation:
We assume your equation is intended to be ...
2^(2x+7) = 2^15
Equating exponents gives ...
2x +7 = 15
2x = 8 . . . . . . subtract 7
x = 4 . . . . . . . divide by 2
The value of x is 4.
Twice the sum of a number and 3
2 (x+3)
is the same
=
as 11 increased by the number
11 + x
so...
2 (x+3) = 11 + x
2x+6 = 11+x
2x-x = 11-6
x = 5
Answer:
(-1,2)
Step-by-step explanation:
y = -2x ______(1)
7x - 8y = -23 ________(2)
Substituting the value of y in eqn.(1) into eqn (2);
7x - 8(-2x) = -23
7x + 16x = -23
23x = -23
x = -1
y = -2(-1) = 2.