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2 years ago

Solve the quadratic equation.m^2/15 -3 = 2

Mathematics

1 answer:

Radda [10]2 years ago

7 0

The answer is $5 \sqrt{3}$

<h3>Explanation :</h3>

$\frac{ {m}^{2} }{15} - 3 = 2$

$\frac{ {m}^{2} }{15} = 2 + 3$

$\frac{ {m}^{2} }{15} = 5$

${m}^{2} = 5 \times 15$

${m}^{2} = 75$

$m = \sqrt{75}$

$m = \sqrt{25 \times 3}$

$m = \sqrt{25} \times \sqrt{3}$

$m = 5 \sqrt{3}$

CMIIW

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Find the intercepts of the line.y=−5x−17

GaryK [48]

Answer:

Step-by-step explanation:

y = -5x - 17

in y = mx + b form, the y int is in the m position

y = mx + b

y = -5x - 17......so the y int (b) = -17 or (0,-17) <=== y intercept

u can also find the y intercept by subbing in 0 for x and solving for y

u can find the x intercept by subbing in 0 for y and solving for x

y = -5x - 17

0 = -5x - 17

5x = -17

x = -17/5......so the x intercept is -17/5 or (0,-17/5) <==== x intercept

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3 years ago

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Tema [17]

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6 0

2 years ago

(-9x-3)+6<93 help me out plz

Lunna [17]

Answer:

x>-10

Step-by-step explanation:

(-9x-3) + 6 < 93

-9x-3+6 < 93

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Dividing by -9 both sides

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2 years ago

A Rasmussen Reports survey of 1,000 US adults found that 42% believe raising the minimum wage will help the economy. Construct a

vitfil [10]

Answer:

(0.3798, 0.4602)

Step-by-step explanation:

Let p be the true proportion of US adults who believe raising the minimum wage will help the economy. A point estimate for p is $\hat{p}=0.42$ and a good aproximation (because we have a large sample) for the standard deviation of $\hat{p}$ is $\sqrt{\hat{p}(1-\hat{p})/n}=\sqrt{0.42(0.58)/1000}=0.0156$ . Therefore, a 99% confidence interval for p is given by $\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$ where $\alpha=0.01$ and $z_{\alpha/2}$ is the $\alpha/2$ th quantile of the standard normal distribution, so we have, $0.42\pm z_{0.005}0.0156$ , i.e., $0.42\pm(-2.5758)(0.0156)$ or equivalently (0.3798, 0.4602).