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4 years ago

Write an inequality for each sentence.

1 answer:

5 0

#2: Her earnings were no more than $64. Let e represent her earnings. E is less than or equal to 64 (since it says no more than $64).

e ≤ 64.

#4: A checking account was no more than $500. Let a represent the amount in the checking account. A is less than or equal to 500.

a ≤ 500.

#5: Max. ceiling height of 8 ft is required. Let f represent length in feet. Length in feet has to be less than or equal to 8.

f ≤ 8.

#6: Min. number of 12 participants required. Let n represent the number of participants. There has to be at LEAST 12 participants. So, the number of participants has to be greater than or equal to 12.

n ≥ 12.

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Why is it not possible to know the exact value of an irrational number?

Firdavs [7]

Answer:

An irrational number has a repeating decimal digits that continues on infinitely

Step-by-step explanation:

6 0

3 years ago

Simplify the following expression.<br> 2x^2-9-17x^2+10+7x

snow_lady [41]

Answer:

- 15x² + 7x + 1

Step-by-step explanation:

Given

2x² - 9 - 17x² + 10 + 7x ← collect like terms

= (2x² - 17x² ) + 7x + 1

= - 15x² + 7x + 1

5 0

3 years ago

A parabola intersects the x-axis at x=−4 and x=8.

cupoosta [38]

Answer:

C. x=2

Step-by-step explanation:

The axis of symmetry divides the parabola into two equal parts. FRom point x=-4 to x=8, the difference is 12 units and the centre is6 units on each side. Using a number line, the axis of symmetry is at point x=2

5 0

3 years ago

Read 2 more answers

A group of 727272 people travel to the beach for a clean-up day. Some of the people bring their own supplies (such as gloves, wa

Leno4ka [110]

Answer:

$b+p=72$

$p=72-b$

Step-by-step explanation:

We can represent this situation with an equation that shows that when b and p are added, then the total number of people will be 72

The number of people who bring supplies = b

The number of people, to whom supplies are provided = p

We get ;

$b+p=72$

$p=72-b$

7 0

3 years ago

Read 2 more answers

If a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can

sasho [114]

Answer:

c. 6.5 seconds.

Step-by-step explanation:

We have been given that a a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can be determined by the formula $h = -3t^2+147$ , where h is the height of the plane at t seconds.

To find the time, when plane will be at a height of exactly 20.25 feet, we will substitute $h=20.25$ in our given formula and solve for t as:

$20.25= -3t^2+147$

$-3t^2+147=20.25$

$-3t^2+147-147=20.25-147$

$-3t^2=-126.75$

$\frac{-3t^2}{-3}=\frac{-126.75}{-3}$

$t^2=42.25$

Take square root of both sides:

$t=\pm \sqrt{42.25}$

$t=\pm 6.5$

Since time cannot be negative, therefore, the plane will be at a height of exactly 20.25 feet after 6.5 seconds and option 'c' is the correct choice.

6 0

4 years ago