Answer:
n= -2
Step-by-step explanation:
3^n = 1/9
3^n = 1/(3^2)
3^n = 3^(-2)
n = -2
Answer:
20.669
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
If we let x and y represent the first and second numbers, respectively, we can write the problem statement as the equations ...
We can multiply the first equation by -9 and add 4 times the second equation to get an equation in y alone:
-9(4x +5y) +4(9x +2y) = -9(-28) +4(11)
-37y = 296 . . . . . simplify
296/-37 = y = -8 . . . . . divide by the coefficient of y
The second number is -8.
Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)
Answer:
Step-by-step explanation:
if we have 5^22 and 5^26
5^26= 5^22 x5^4
5^26 is bigger by the number 5^4
