All categories

3 years ago

Solve the inequality −3(r−5)+7≥28.

Mathematics

2 answers:

Dima020 [189]3 years ago

4 0

Answer:

r<=-2

Step-by-step explanation:

-3(r-5)+7>=28

Distribute

-3r+15+7>=28

Then add like numbers

-3r+22>=28

subtract 22 from both sides

-3r>=6

Divide and when you divide/multiply a negative you flip the inequality sign

r<=-2

Svetlanka [38]3 years ago

3 0

Answer:

r≤−2

Step-by-step explanation:

-3(r-5)+7≥28

simplify

−3r+22≥28

subracts by 22 on each side

-3r≥6

divide by -3, dividing by a negative switches the sign

r≤−2

You might be interested in

What is the area C in terms of

kifflom [539]

Answer: D

Hope this help

7 0

3 years ago

Solve x2 + 10x + 7 = 0 by completing the square.<br><br> Which equation is used in the process?

BaLLatris [955]

$x^2+10x+7=0\ \ \ \ |subtract\ 7\ from\ both\ sides\\\\x^2+2x\cdot5=-7\ \ \ |add\ 5^2\ to\ both\ sides\\\\x^2+2x\cdot5+5^2=-7+5^2\ \ \ |use\ a^2+2ab+b^2=(a+b)^2\\\\(x+5)^2=-7+25\\\\(x+5)^2=18\iff x+5=\pm\sqrt{18}\\\\x+5=-\sqrt{18}\ or\ x-5=\sqrt{18}\\\\x+5=-\sqrt{9\cdot2}\ or\ x-5=\sqrt{9\cdot2}\\\\x+5=-\sqrt9\cdot\sqrt2\ or\ x-5=\sqrt9\cdot\sqrt2\\\\x+5=-3\sqrt2\ or\ x-5=3\sqrt2\ \ \ |subtract\ 5\ from\ both\ sides\\\\\boxed{x=-5-3\sqrt2\ or\ x=-5+3\sqrt2}$

5 0

3 years ago

Read 2 more answers

To win the annual read-a-thon at his school, Scott has to read more books than any of his classmates over winter break. He start

shusha [124]

Answer:

13 sports books and 10 unknown books is 23 books

Step-by-step explanation:

we already know scott read 23 books total, we also know that he read 10 mystery books.

subtracting 10 unknown books from 23 total books, we get 13 sports books as your answer

8 0

3 years ago

HELP QUICK!!!! PLEASE!

Tresset [83]

Answer:

Linear function

Step-by-step explanation:

<h2> $y = \frac{x}{2} - 5$ </h2><h3>Linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1.

<h2> $y = \frac{2}{x} + 3$ </h2><h3>Not linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1

, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

<h2> $y = {2}^{x} - 1$ </h2><h3>Not linear function</h3>

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

<h2> $y = {x}^{2} + 7$ </h2><h3>Not linear function</h3>

<h3>Hope it is helpful...</h3>

6 0

3 years ago

Rita's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $55 a day for fo

MArishka [77]

<span>"The company pays $55 a day for food and lodging and $0.45 for each mile traveled" means that if she travels m miles and is on a trip for x days then Rita will receive:

55x + 0.45m dollars.

Rita drove 300 miles, means that m=300. Thus </span>55x + 0.45m becomes <span>

</span> $55x+0.45m=55x+0.45 \cdot 300=55x+135$ (dollars.)

She was reimbursed $2,335 means that $55x+135=2,335$ .

Part A: $55x+135=2,335$ .

Part B:

We are given the equation 55x+135=2,335. Subtracting 135 from both sides we have:

55x=2,335-135=2,200.

Dividing both sides by 55, we get: x=2,200/55=40.

Part C: since x represents the number of days Rita spend on this trip, and x=40, then Rita spent 40 days on this trip.

5 0

4 years ago