Answer:
-5 =x
Step-by-step explanation:
3^(x-1) = 9^(x+2)
Replace 9 with 3^2
3^(x-1) = 3^2^(x+2)
We know that a power to a power means the powers are multiplied
a^b^c = a^(b*c)
3^(x-1) = 3^(2x+2)
When the bases are the same, the powers have to be the same
x-1 = 2x+4
Subtract x from each side
x-x-1 =2x-x+4
-1 =x+4
Subtract 4 from each side
-1-4 =x+4-4
-1-4 = x
-5 =x
A.) f(x) = x^2 because 2 > 1. So f(2) = 4.
A is correct.
B.) f(x) = x^2 because 5 > 1. So f(5) = 25.
B is incorrect.
C.) f(x) = 2x because -2 < 1. So f(-2) = -4.
C is incorrect.
D.) f(x) = 5 because x = 1.
D is correct.
So the answer is A and D.
Answer:
y = -x + 2
Step-by-step explanation:
We are asked to find the equation of a line
Step 1: find the slope
We are given two points
( 2 , 0) ( 6 , -4)
m = (y_2 - y_1 )/ (x_2 - x_1)
x_1 = 2
y_1 = 0
x_2 = 6
y_2 = -4
Insert the values
m = ( -4 - 0) / ( 6 - 2)
m = -4 / 4
m = -1
Step 2 : substitute m into the equation
y = mx + c
y = -1x + c
Step 3: substitute any of the two points into the equation
Let's pick ( 6 , -4)
x = 6
y = -4
y = mx + c
y = -1x + c
-4 = -1(6) + c
-4 = -6 + c
c = -4 + 6
c = 2
Step 4: substitute c = 2 into the equation
y = mx + c
y = -x + c
y = -x + 2
A square is a square a trapezoid is a lot weirder <span />
55.79 = 0.99<em>d + </em>39.95
55.79 - 39.95 = 15.84
0.99d = 15.84
0.99d/0.99 = 15.84/0.99
d = 16
2) Equation = 12.6 million = 4(x) + 1 million
12.6 million - 1 million = 11.6 million
11.6 million/4 = x
x = 2900000
hope this helps
