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3 years ago

Will mark brainliest!! factor the following equation: g(x)=2x²-2x-24

Mathematics

2 answers:

aniked [119]3 years ago

5 0

Answer:

Hello,

g(x) = 2 (x + 3) (x - 4)

Step-by-step explanation:

g(x) = 2x²- 2x - 24

⇔ g(x) = 2 (x² - x - 12)

⇔ g(x) = 2 ((x - 1/2)² - (1/2)² - 12)

⇔ g(x) = 2 ((x - 1/2)² - 12.25)

⇔ g(x) = 2 ((x - 1/2)² - 3.5²)

⇔ g(x) = 2 ((x - 1/2)² - (7/2)²)

⇔ g(x) = 2 (x - 1/2 + 7/2) (x - 1/2 - 7/2)

⇔ g(x) = 2 (x + 3) (x - 4)

Darina [25.2K]3 years ago

4 0

Answer:

g(x)=2(x-4)(x+3)

Step-by-step explanation:

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The sum of one-fifth of a number and two is five

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

Let us first write an equation where the unknown number is represented with variable x. <em>The sum of a fifth of x and two is five:</em>

$\frac{1}{5} x+2=5$

Great! Let's solve for x by isolating the variable.

$\frac{1}{5}x=3\\x=15$

<u>Therefore, the unknown number is 15.</u>

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<em>I hope this helps! Let me know if you have any questions :)</em>

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3 years ago

Ms. Pearson kept track of student absences versus final average grades in her math dass for one semester, The

sammy [17]

The correct statement about the data collected by Ms. Pearson is that there is no association between a student's absences and the final average grades.

<h3>When do variables have a linear relationship?</h3>

The equation that represents a linear relationship is: a + bx

Where x represents the rate of increase. Thus, for linear equations, the functiion increases by a constant term.

Looking at the table, the average final grade does not increase by a constant term.

To learn more about linear functions, please check: brainly.com/question/26434260

6 0

1 year ago

A parallelogram has an area of 60 square inches. If the base of the parallelogram is 12 inches, what is the height of the parall

Vikentia [17]

How to find the area of a parallelogram is length times height. 12 times what gets you to 60? 5 does. 12 times 5 is 60.

HEIGHT: 5

8 0

2 years ago

Boyle’s law states that the volume of a gas varies inversely with applied pressure. Suppose the pressure on 60 cubic meters of g

tatyana61 [14]

$\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \stackrel{\textit{the volume of a gas varies inversely with applied pressure}}{v=\cfrac{k}{p}}
\\\\\\
\textit{we also know that }
\begin{cases}
v=60\\
p=1
\end{cases}\implies 60=\cfrac{k}{1}\implies 60=k
\\\\\\
\boxed{v=\cfrac{60}{p}}
\\\\\\
\stackrel{\textit{now if we apply 3 atmospheres, p=3, what is \underline{v}?}}{v=\cfrac{60}{3}}$

8 0

3 years ago

Read 2 more answers

Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar

klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

$\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}$

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

$CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack$

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

$CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack$

Where (from tables):

$Z_{0.99}=2.33$

Finally, the interval at 98% confidence level is:

$CI(\mu)=\lbrack28.94,31.06\rbrack$

4 0

11 months ago

Will mark brainliest!! factor the following equation: g(x)=2x²-2x-24​

Will mark brainliest!! factor the following equation: g(x)=2x²-2x-24