Answer:
Step-by-step explanation:
When equal bases are multiplied, the powers add.
The bases of both expressions is x.
The powers are 5 and 7.
The answer is x^(5 + 7) = x^(12)
Answer:
y = 3(x+1)^2 - 4
Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:
y - k = a(x-h)^2, or
y = a(x-h)^2 - k
Substituting the coefficients of the vertex (-1, -4), we get:
y = a(x + 1)^2 - 4
Substituting the coordinates of the given point, (1,8), we get:
8 = a(1+1)^2 - 4, which simplifies to:
8 = a(2)^2 - 4, or
8 = 4a - 4. Then 4a = 12, and a = 3.
Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).
Answer:
x=7
Step-by-step explanation:
3ˣ⁻⁵=9
3ˣ⁻⁵=3²
x-5=2
x=2+5
x=7
Answer:
x=-5.5
Step-by-step explanation:
-3(x+4)=(-x-1)
1. Distribute
-3x+(-12)=-x-1
2. Simplify
-3x-12=-x-1
-2x-12=-1
-2x=11
x=-11/2
x=-5.5
Answer:
Step-by-step explanation:
Here time (t) is the independent variable; power (p) is the dependent one.
The graph of p = 100 - 4t is a straight line with slope -4. 100 is the vertical intercept. Battery power begins at 100 and steadily decreases after that.
