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3 years ago

Solve for x in the equation x2+2x+1=17

Mathematics

1 answer:

agasfer [191]3 years ago

6 0

The left side can be written as a square. We can take the square root, then subtract 1.

... (x +1)² = 17

... x +1 = ±√17

... x = -1 ±√17

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A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev

uysha [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is $H_o : \beta_1 = 0$

The alternative hypothesis is $H_1 : \beta_1 \ne 1$

Step-by-step explanation:

From the question we are told that

The number observations is $n = 100$

The annual salary (in dollars) is y

The mean score on teaching evaluation is x

The the relationship between the y and x is

$y = \beta_0 + \beta _1 x + \epsilon$

Where $\beta _1$ is the mean of the equation so

The null hypothesis is $H_o : \beta_1 = 0$

The alternative hypothesis is $H_1 : \beta_1 \ne 1$

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2 years ago

The mass of a teapot and 4 cups is 1,280 grams. The mass of the same teapot and 10 cups is 2,720 grams. Each cup has the same ma

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Answer:

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Step-by-step explanation:

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4 0

3 years ago

What is 10 times as much as 55,837.9?

OverLord2011 [107]

558,739 is the correct answer.

7 0

3 years ago

Read 2 more answers

A garden table and a bench cost $600 combined. The cost of the garden table is three times the cost of the bench. What is the co

Sonja [21]

This is how I'd solve it:

bench = x x+3x=600
table = 3x 4x=600
x=150

The bench costs <u>$150</u> and the table costs <u>$450</u>; combined, they cost $600, so it's correct. I hope this helps you!

3 0

3 years ago

Read 2 more answers

A young couple purchases their first new home in 2011 for $95,000. They sell it to move into a bigger home in 2018 for $105,00

mart [117]

Given:

The value of home in 2011 is $95,000.

The value of home in 2018 is $105,000.

To find:

The exponential model for the value of the home.

Solution:

The general exponential model is

$y=ab^x$ ...(i)

where, a is initial value and b is growth factor.

Let 2011 is initial year and x be the number of years after 2011.

So, initial value of home is 95,000, i.e., a=95,000.

Put a=95000 in (i).

$y=95000b^x$ ...(ii)

The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.

$105000=95000b^7$

$\dfrac{105000}{95000}=b^7$

$\dfrac{21}{19}=b^7$

Taking 7th root on both sides, we get

$\left(\dfrac{21}{19}\right)^{\frac{1}{7}}=b$

Put $b=\left(\dfrac{21}{19}\right)^{\frac{1}{7}}$ in (ii).

$y=95000\left(\left(\dfrac{21}{19}\right)^{\frac{1}{7}}\right)^x$

$y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}$

Therefore, the required exponential model for the value of home is $y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}$ , where x is the number of years after 2011.

5 0

3 years ago