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2 years ago

Simplify -5(3m2 + 7n2) + 8n2

Mathematics

2 answers:

Blababa [14]2 years ago

6 0

Answer:

$\boxed{\red{= - 3(5 {m}^{2} + 9 {n}^{2} )}}$

Step-by-step explanation:

$- 5(3 {m}^{2} + 7 {n}^{2} ) + 8 {n}^{2} \\ - 15 {m}^{2} - 35 {n}^{2} + 8 {n}^{2} \\ = - 15 {m}^{2} - 27 {n}^{2} \\ = - 3(5 {m}^{2} + 9 {n}^{2} )$

son4ous [18]2 years ago

5 0

Answer:

Step-by-step explanation:

-5(3m² + 7n²) + 8n²

Expand brackets.

-15m² + -35n² + 8n²

Combine like terms.

-15m² + -27n²

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Anna71 [15]

Answer:

x=27.5

FG=72.5

GH=60

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Step-by-step explanation:

Sum of angles in a triangle=180

Therefore, FG+GH+HF=180

Substituting the values we have,

(3x - 10) + (2x+5) +(x+20) = 180

Collecting like terms

3x+2x+x = 180 +10 - 5 - 20

6x = 165

X= 27.5

FG = (3x - 10) = 3(27.5) - 10

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1 year ago

An environmental group at a local college is conducting independent tests to determine the distance a particular make of automob

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Answer:

$26.5265$

Step-by-step explanation:

<u>Confidence Interval</u>

When the population standard deviation $\sigma$ is known, the formula for a confidence interval for a population mean $\bar x$ is:

$\displaystyle \bar x \pm z\frac{\sigma}{\sqrt{n}}$

Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are

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