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3 years ago

Factor completely 2x² − 12 + 10

Mathematics

1 answer:

NeX [460]3 years ago

5 0

Answer:

2(x + 1)(x - 5)

Step-by-step explanation:

First you need to find the GCF (greatest common factor). Each term has 2 in common. Factor the 2 out of each term. 2(x²- 6x + 5)

Next you need to solve inside the parenthesis with an x-puzzle. 2(x+1)(x-5)

Check your answer by multiplying. You should get the expression you began with. 2x² - 12 + 10

You might be interested in

Which of the following represents a negative correlation?

babunello [35]

Answer:

The answer is letter B, The water level in a bathtub as it drains over time.

Step-by-step explanation:

It is best to learn the meaning of "negative correlation" first.

Correlation- In Mathematics, "correlation" means a measure of the relationship between two variables.

Positive Correlation- when the values of the variables increase together.

Negative Correlation- when one value of a variable increases while the other variable's value decreases.

*The situation above is asking for a negative correlation, therefore the answer is letter B (The water level in a bathtub as it drains over time).

The variables are: water level and draining time

As the draining time increases, the water level in the bathtub decreases. This is clearly an example of a negative correlation.

3 0

3 years ago

The three sides of a triangle are n, 4n−8, and 2n+8. If the perimeter of the triangle is 63 feet, what is the length of each sid

svlad2 [7]

Answer:

9 ft, 28 ft, 26 ft

Step-by-step explanation:

The perimeter is the sum of side lengths, so ...

P = a + b + c

63 = n +(4n -8) +(2n +8) . . . . fill in the given side lengths

63 = 7n . . . . . . simplify

9 = n . . . . . . . . divide by 7

4n -8 = 36 -8 = 28 . . . . second side length

2n +8 = 18 +8 = 26 . . . . third side length

The side lengths are 9 ft, 28 ft, 26 ft..

8 0

3 years ago

What does f(x) mean? In lineal functions

Misha Larkins [42]

F(x) is basically the output or y of whatever x is

7 0

3 years ago

Find the value of $ 15,000 at the end of one year if it is invested in an account that has an interest rate of 4.95 % and is com

lora16 [44]

A)

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$15000\\
r=rate\to 4.95\%\to \frac{4.95}{100}\to &0.0495\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{twelve months, thus}
\end{array}\to &12\\
t=years\to &1
\end{cases}
\\\\\\
A=15000\left(1+\frac{0.0495}{12}\right)^{12\cdot 1}$

b)

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$15000\\
r=rate\to 4.95\%\to \frac{4.95}{100}\to &0.0495\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{365 days, thus}
\end{array}\to &365\\
t=years\to &1
\end{cases}
\\\\\\
A=15000\left(1+\frac{0.0495}{365}\right)^{365\cdot 1}$

c)

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$15000\\
r=rate\to 4.95\%\to \frac{4.95}{100}\to &0.0495\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{four quarters, thus}
\end{array}\to &4\\
t=years\to &1
\end{cases}
\\\\\\
A=15000\left(1+\frac{0.0495}{4}\right)^{4\cdot 1}$

7 0

3 years ago

4 pts

Alex777 [14]

Answer:27

Step-by-step explanation:

3^3=27

3 0

3 years ago