Answer:
Step-by-step explanation:
(x² + 6x + 9)(x)= x²*x + 6x*x + 9*x = x³ + 6x² + 9x
The first thing you do is mutitpy 320,000 by .20 so that you can find the amount of down payment. The down payment would be 64,000. So you subtract 64,000 from 320,000. This leaves a loan amount of 256,000 dollars. The answer is 256,000 dollars .
Short method: multiply constants
Long mothod: expand it
Answer: 42
Answer:
A. There is not sufficient evidence to conclude that the mean price of a single-family home has decreased
Step-by-step explanation:
To study : Whether the mean price of single family home has decreased or not -
Null Hypothesis [H0] = There is no change in mean price of single family home
Alternate Hypothesis [H1] = There is change (decrease) in mean price of single family home
If the null hypothesis is not rejected, it implies that 'there is no change in mean price of single family home' has been statistically accepted.
So, it states that - There is not sufficient evidence to conclude that the mean price of a single-family home has decreased
Answer:
Hypothenus = 22
Step-by-step explanation:
From the question given above, we were told that the triangles are congruent (i.e same size). Thus,
AC = EF
BC = DE
To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:
For y:
AC = y + 3
EF = 2y + 1
AC = EF
y + 3 = 2y + 1
Collect like terms
3 – 1 = 2y – y
2 = y
y = 2
For x:
BC = 5x + 7
DE = 6x + 2y
y = 2
DE = 6x + 2(2)
DE = 6x + 4
BC = DE
5x + 7 = 6x + 4
Collect like terms
7 – 4 = 6x – 5x
3 = x
x = 3
Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:
Hypothenus = BC
Hypothenus = 5x + 7
x = 3
Hypothenus = 5x + 7
Hypothenus = 5(3) + 7
Hypothenus = 15 + 7
Hypothenus = 22
OR
Hypothenus = DE
DE = 6x + 2y
y = 2
x = 3
Hypothenus = 6(3) + 2(2)
Hypothenus = 18 + 4
Hypothenus = 22
