Answer:
Kara incorrectly factored 2(16x^2 + 24x + 9) she did not find the correct factors when she factored out. The correct factored expression would be 2(4x+3)^2
Step-by-step explanation:
32x^2 + 48x + 18
2(16x^2 + 24x + 9)
2(16x^2 + 12x) (12x + 9)
2 4x(4x + 3) 3(4x + 3)
2(4x + 3)(4x + 3)
2(4x + 3)^2
The equation which is equivalent to 
is 
or x = 6 (
).
<u>Step-by-step explanation:</u>
Given Equation:
As we know, in terms of logarithmic rules, when b is raised to the power of y is equal x:
Then, the base b logarithm of x is equal to y
Now, use the logarithmic rule for the given equation by comparing with above equation. We get b = x, y = 2, and x = 36. Apply this in equation,
When taking out the squares on both sides, we get x = 6. Hence, the given equation can be written as
11,850 x .9 = 11,605
11605 x . 9 = 9,598.5 year 2
9,598.5 x .9 = 8,638.65
8,635 x .9 = 7,774.785 year 4
7,774.785 x .9 = 6,997.31
6,6997.31 x .9 = 6297.58 year 6
6297.58 x .9 = 5,667.82
5,667.82 x .9 = 5,101.04 year 8
The answer is D
Answer:
18 cm
Step-by-step explanation:
The ratio of Actual length (L) to scale length is 27 : 3.6
27 ÷ 3.6 = 7.5
Therefore, actual width (W) = scale width x 7.5
= 2.4 x 7.5
= 18 cm
Answer:
an = 3(5)^(n-1).
Step-by-step explanation:
15 / 3 = 5
75/15 = 5
375/75 = 5
So the common ratio is 5.
First term a1 =3
an = a1 r^(n-1) is the explicit formula.
so here we have:
an = 3(5)^(n-1).
