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ale4655 [162]
3 years ago
14

If a = 2 and b = -3, find the value of a3 - b2. A.-31 B.-23 C.-1 D.15

Mathematics
2 answers:
adelina 88 [10]3 years ago
4 0

Plug in -3 for b, and 2 for a

2^3 - (-3)^2

Remember to always follow PEMDAS. First, do the exponents

2^3 = 2 x 2 x 2 = 8

(-3)^2 = -3 x -3 = 9

Subtract

8 - 9 = -1

-1 is your answer

hope this helps

valentinak56 [21]3 years ago
3 0

Hello!

So let's first start out by solving the left side of the equation:

2 to the third power is 8

The right side now: -3 to the second power is -9

In total: 8- (-9)

So your answer is C) -1

I hope it helps!

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In a sample of 150 cars, 18 cars failed a safety inspection. The sampling method had a margin of error of 0.02
mestny [16]

Answer:  

(Lower limit, Upper limit) = (0.10, 0.14)

(Lower limit, Upper limit) = (10%, 14%)

Step-by-step explanation:  

Total number of cars = 150

Cars that failed the safety inspection = 18

The proportion is given by

p = 18/150

p = 0.12

p = 12%

The confidence interval is given by

p ± margin of error

Where margin of error is 0.02

0.12 ± 0.02

Lower limit = 0.12 - 0.02

Lower limit = 0.10

Lower limit = 10%

Upper limit = 0.12 + 0.02

Upper limit = 0.14

Upper limit = 14%

(Lower limit, Upper limit) = (0.10, 0.14)

(Lower limit, Upper limit) = (10%, 14%)

7 0
2 years ago
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Mazyrski [523]

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7 0
3 years ago
Solve.<br> X = -7<br> 4x - 4y = 12<br> (x,y)
Fynjy0 [20]

Answer:

(-7, -10)

x=-7\\y=-10

Step-by-step explanation:

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4(-7)-4y=12

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-28-4y=12

Add 28 on both sides.

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4 0
3 years ago
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Answer:

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By cross multiply we get;

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Using distributive property; a\cdot (b+c) = a\cdot b+ a\cdot c

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Subtract 1.5x from both sides we get;

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Divide both sides by 0.1 we get;

x = \frac{5.6}{0.1}

Simplify:

x = 56

Therefore, the value of x that satisfy the equation \frac{1.5}{4x+1} = \frac{0.4}{x+4} is, 56

5 0
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