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1 year ago

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Alexa owns a total of 45 fiction and nonfiction books. If the number of fiction books is 15 more than 4 times the number of nonf

iction books, how many fiction books does she own?

1 answer:

Vikentia [17]1 year ago

4 0

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When p2 – 4p is subtracted from p2 + p – 6, the result is . To get p – 9, subtract from this result.

DochEvi [55]

Answer:

When p2 – 4p is subtracted from p2 + p – 6, the result is:

p2+p-6-(p2-4p)=p2+p-6-p2+4p=5p-6

To get p – 9, subtract from this result x:

5p-6-x=p-9

Solving for x:

5p-6-x+x-p+9=p-9+x-p+9

4p+3=x

x=4p+3

Answer:

1) When p2 – 4p is subtracted from p2 + p – 6, the result is 5p-6

2) To get p – 9, subtract from this result 4p+3

Step-by-step explanation:

7 0

2 years ago

What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?

Hatshy [7]

The root sof this quadratic equation are -4 and 2.5.

The roots of any quadratic can be found by using the quadratic equation. The equation is below for you.

$\frac{-b +/- \sqrt{b^{2}- 4ac}}{2a}$

In this equation you use the number attached to x^2 as the a, which in this case is -2. The number attached to x as b, which is in this case -3. And the number at the end as c, which is 20. From there you solve for the answers.

$\frac{3 +/- \sqrt{-3^{2}- 4(-2)(20)}}{2(-2)}$

$\frac{3 +/- \sqrt{9 + 160}}{-4}$

$\frac{3 +/- 13}}{4}$

Now you separate and get the two separate answers. First the positive.

$\frac{3 + 13}}{4}$

$\frac{16}}{4}$

4

Now the negative

$\frac{3 - 13}}{4}$

$\frac{-10}}{4}$

-2.5

5 0

2 years ago

Read 2 more answers

one slice of cheese pizza contains 260 calories. a medium-size orange has one-fifth that number of calories. how many calories a

Flura [38]

1/5 •260=52 calories

8 0

2 years ago

Power usage is measured in kilowatt-hours, kWh. After 7 a.m., the power usage on a college campus increases at a rate of 21% per

kumpel [21]

After 7 a.m., the power usage on a college campus increases at a rate of 21% per hour.

t be the number of hours

the power usage increases at a rate of 21% per hour

21% = 0.21, constant rate = 0.21 . So slope = 0.21

Prior to 7 a.m., 15,040 kWh have been used.

At 7.am , power used = 15,040kWh. so our y intercept is 15,040

We use slope intercept form y=mx+b

slope m = 0.21 and b = 15040

power usage , y = 0.21 t + 15040

The university has a daily goal to keep their power usage less than or equal to 100,000 kWh

Power usage is less than or equal to 100,000

So inequality becomes 0.21t + 15,040 <= 100,000

6 0

1 year ago

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Sean pays £10 for 24 chocolate bars. He sells all 24 chocolate bars for 50p each.

VladimirAG [237]

Answer:

the percentage profit is 20%

Step-by-step explanation:

Given that

Sean paid £10 for 24 chocolate bars

He sold all 24 chocolate bars for 50p each

we need to find out the percentage profit

Since he paid £10 and sale value is (24 × 0.50) i.e. £12

So, the percentage profit is

= (£12 - £10) ÷ (£10)

= 20%

Hence, the percentage profit is 20%

4 0

1 year ago