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2 years ago

PLEASE HELP!! 10 POINTS!! WILL MARK BRAINLIEST!!

Mathematics

1 answer:

Hoochie [10]2 years ago

7 0

An octagon has 8 sides. Each side is 2a + 1 units.

8(2a + 1)

= 16a + 8

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Complete the steps for solving 7 = –2x2 + 10x. Factor out of the variable terms. inside the parentheses and on the left side of

Mamont248 [21]

we have

$7=-2x^{2} +10x$

Factor the leading coefficient

$7=-2(x^{2} -5x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$7-12.50=-2(x^{2} -5x+2.5^{2})$

$-5.50=-2(x^{2} -5x+2.5^{2})$

Divide both sides by $-2$

$2.75=(x^{2} -5x+2.5^{2})$

Rewrite as perfect squares

$2.75=(x-2.5)^{2}$

Taking the square roots of both sides (square root property of equality)

$x-2.5=(+/-)\sqrt{2.75}$

Remember that

$\sqrt{2.75}=\sqrt{\frac{11}{4}}= \frac{\sqrt{11}}{2}$

$x-2.5=(+/-)\frac{\sqrt{11}}{2}$

$x=2.5(+/-)\frac{\sqrt{11}}{2}$

$x=2.5+\frac{\sqrt{11}}{2}=\frac{5+\sqrt{11}}{2}$

$x=2.5-\frac{\sqrt{11}}{2}=\frac{5-\sqrt{11}}{2}$

<u>the answer is</u>

The solutions are

$x=\frac{5+\sqrt{11}}{2}$

$x=\frac{5-\sqrt{11}}{2}$

5 0

2 years ago

Read 2 more answers

Question and answer choices are in the screenshot. THANK YOU!!

Anika [276]

I 11 x - 22 I > 22
∴ 11x-22 > 22          OR          (11x -22) < -22
∴ 11 x > 44             ::::::::          11x - 22 < -22
    x > 4                   ::::::::              x < 0

∴ x ∈ ( -∞ , 0 ) ∪ ( 4 , ∞)
∴ The correct choice is number 1
The solution is attached in the figure

5 0

2 years ago

You are in charge of a crew that inspects cars. Each car takes approximately 1/2 hour for 1 person to inspect. The normal crew h

jonny [76]

Answer:

Each inspectors NEEDS to work 20 hours in order to review 320 cars.

Step-by-step explanation:

The amount of time taken to inspect 1 car = 1/2 hr = 0.5 hr

The total people in crew are supposed to be 10

But 2 people are MISSING.

So, the total number of present people in crew = 10 - 2= 8

The total number of cars to be inspected = 320 cars.

Since each car takes 0.5 hour to be reviewed.

So, the time required to review 320 cars = 320 x 05 = 160 hours.

So, the total hours needed to inspect all 320 cars = 160 hours

Now,as there are total 8 crew members.

$\implies \textrm{The number of hours each inspector needs to work} = \frac{\textrm{Total working hours needed}}{\textrm{Toal number of inspectors}} \\= \frac{160}{8} = 20$