Solve the quadratic equation: x^2+4x+17=8-2x

Angel works in a dentist’s office making $13.50 an hour. She works 40 hours per week. How much does she make in a year?

-Dominant- [34]

This is a 2 part question, so we will go step by step

Since Angel makes 13.50 an hour, and she works 40 hours a week, we have to make an equation and solve it.

First, let's make the equation, and we should multiply. Why?

Because finding out how much she made in a week would make it easier to find out how much she makes in a year. To find out how much she makes in a week, we need to add 13.50 40 times, and multiplication is an easier way of doing that.

Now to set it up, 40 is the number we are multiplying by (Because 40 is how many hours she works, and 13.50 is how much she makes in that hour)

and 13.50 is the number getting multiplied

Now we insert numbers into typical multiplication format

13.50 x 40 = ?

Now we solve

13.50 x 40 = 540

So she makes 540 dollars in a week, now we need to multiply that by the number of weeks they are in a year and we are done.

With a little help from Google, we can learn that there are in 52.1 weeks<span> in a common year.

Now we do the same thing we did the last time and insert our numbers into the equation.

(52.1 is what we are multiplying by, and 540 is the number that is getting multiplied.)

540 x 52.1 = ?

Solve

</span>540 x 52.1 = 28,134

She makes <span>28,134 in a year
</span>
Hope this helped!

3 0

2 years ago

Select the step in the solution that shows the first error.

siniylev [52]

Answer:

Step 2: 20x = 80 + 10x

Step-by-step explanation:

Step 1: 20x - 10 = 80 + 10x

Add 10 to each side

20x - 10+10 = 80+10 + 10x

20x = 90 + 10x

Step 2: 20x = 80 + 10x This has the first error

Step 3: 10x = 80

Step 4: x= 8

8 0

3 years ago

A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer

OLEGan [10]

Answer:

The probability is $P( p < 0.9207) = 0.0012556$

Step-by-step explanation:

From the question we are told

The population proportion is $p = 0.96$

The sample size is $n = 227$

The number of graduate who had job is k = 209

Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is

$\mu_x = p = 0.96$

Generally the standard deviation of this sampling distribution is

$\sigma = \sqrt{\frac{p (1 - p )}{n} }$

=> $\sigma = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }$

=> $\sigma = 0.0130$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{209}{227}$

=> $\^ p = 0.9207$

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

$P( p < 0.9207) = P( \frac{\^ p - p }{\sigma } < \frac{0.9207 - 0.96}{0.0130 } )$

$\frac{\^ p - p}{\sigma } = Z (The \ standardized \ value\ of \ \^ p )$

$P( p < 0.9207) = P(Z< -3.022 )$

From the z table the area under the normal curve to the left corresponding to -3.022 is

$P(Z< -3.022 ) = 0.0012556$

=> $P( p < 0.9207) = 0.0012556$

6 0

3 years ago

The archway of the main entrance of a university is modeled by the quadratic equation

Scilla [17]

Answer:

B. (1,5) and (5.25, 3.94)

Step-by-step explanation:

The answer is where the 2 equations intersect.

We need to solve the following system of equations:

y = -x^2 + 6x

4y = 21 - x

From the second equation:

x = 21 - 4y

Plug this into the first equation:

y = -(21 - 4y)^2 + 6(21 - 4y)

y = -(441 - 168y + 16y^2)+ 126 - 24y

y = -441 + 168y - 16y^2 + 126 - 24y

16y^2 + y - 168y + 24y + 441 - 126 = 0

16y^2 - 143y + 315 = 0

y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)

y = 5, 3.938

When y = 5:

x = 21 - 4(5) = 1

When y = 3.938

x = 21 - 4(3.938) = 5.25.

3 0

2 years ago

Henry had $24.12. His friend Greg had one-

Daniel [21]

Answer: $42.21

Step-by-step explanation:

Henry; $24.12

Gregg; $24.12 / 2= $12.06

Kasey; $ 24.12 / 4= $6.03

$24.12 + $12.06 + $6.03

6 0

2 years ago