OP = a

Which of the following expressions are equivalent to -8/11-3/4-1/4.Choose 3 answers

Effectus [21]

Answer:

option a

option d

option e

Step-by-step explanation:

option a

$-\frac{8}{11}+( -\frac{3}{4})+( -\frac{1}{4})=-\frac{8}{11}-\frac{3}{4} -\frac{1}{4}$

option d

$-(\frac{8}{11}+\frac{3}{4}+\frac{1}{4})=-\frac{8}{11}-\frac{3}{4} -\frac{1}{4}$

option e

$-\frac{8}{11}-(\frac{3}{4}+\frac{1}{4})=-\frac{8}{11}-\frac{3}{4} -\frac{1}{4}$

4 0

3 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

$y = -16x^2 + 177x + 98$

It hits the ground when $y = 0$ , so we have to find x for which $y = 0$ , which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$y = -16x^2 + 177x + 98$

$-16x^2 + 177x + 98 = 0$

So

$a = -16, b = 177, c = 98$

$\bigtriangleup = 177^{2} - 4(-16)(98) = 37601$

$x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53$

$x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59$

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

4 0

3 years ago

A loan officer makes $15 per hour working 2,000 hours each year. She also gets a fee of $35 for each loan she processes. If she

Afina-wow [57]

Answer:

$61,500

Step-by-step explanation:

For this problem, we will simply take her hourly wage and multiply that by the hours she worked and take her additional earnings for each loan processed and multiply that by the number of loans she processed.

Consider her hourly wage of $15 per hour. If she worked 2000 hours, then we can say she got paid ($15 * 2000) = $30000 for her work that year.

Consider her processing fee of $35 per loan processed. If she processed 900 loans, then we can say she got paid ($35 * 900) = $31500 for her processed loans that year.

Then, to find her yearly total earnings, we simply add those two values. $30000 + $31500 = $61500.

Thus the loan officer made $61500 that year.

Cheers.

7 0

3 years ago

Read 2 more answers

The Davidson family wants to expand its regular patio which currently measures 15 ft by 12 ft they want to expand the length and

Juli2301 [7.4K]

Answer:

L and W +5

Step-by-step explanation:

A1=15*12=180

A2=160+A1=340

340 factors

340,1,2,170,5,..., 20,17

20*17=340

|15-20|=5

|12-17|=5

add 5

4 0

3 years ago

X - 2 + 3 =(-2) how do you solve this?

Ket [755]

Answer:

x = -3

Step-by-step explanation:

$x-2+3=-2\\x+1=-2\\x=-3$

7 0

3 years ago

Read 2 more answers