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3 years ago

Simplify (ab)2 + (b3 - a2) if a = -2 and b = 4

Mathematics

2 answers:

Greeley [361]3 years ago

8 0

Answer:

124

Step-by-step explanation:

(ab)^2 + (b^3 - a^2)

Let a = -2 and b = 4

(-2 *4)^2 + (4^3 - (-2)^2)

Parentheses first

(-8)^2 + (4^3 - (-2)^2)

Then the exponents in the parentheses

(-8)^2 + (64 - 4)

Subtract in the parentheses

(-8)^2 + (60)

Exponents

64 + 60

124

LenKa [72]3 years ago

4 0

Step-by-step explanation:

(-2*4)2+(4×3--2×2)

(-8)2+(12--4)

-16+16

hope this helps

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What is the y-intercept of the line shown below if the slope is 0?

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The y-intercept of the line that is shown if the slope is 0 is: 2.

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The y-intercept of a graph is the value of y when x = 0, which is the point on the vertical axis (y-axis) where the line intercepts.

The graph given is an horizontal line having a slope value of 0. The equation of the line is therefore, y = 2.

Thus, from the given graph, the y-axis is intercepted by the line at y = 2. At this point where y = 2, the corresponding value of x is 0.

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1 year ago

David leaves the house to go to school. He walks 200 meters west and 125 meters north. How far is he from his starting point?

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Answer:

325 meters

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Step-by-step explanation:

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3 years ago

Write and evaluate the expression. Then, select the correct answer. Two less than the quotient of a number and four, increased b

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The expression is 2 - m/4 + 10, when m = 12, the value is 9. Then the correct option is C.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Two less than the quotient of a number and four, increased by ten.

That can be written as in the form of m will be

$\rm 2 - \dfrac{m}{4} + 10$

If the value of m is 12, then we have

$\rm 2 - \dfrac{m}{4} + 10\\\\\rm 2 - \dfrac{12}{4} + 10\\\\2- 3 + 10\\\\12 - 3 \\\\9$

Thus, the expression is 2 - m/4 + 10, when m = 12, the value is 9. Then the correct option is C.

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1 year ago

) a mathematical organization is producing a set of commemorative license plates. each plate contains a sequence of five charact

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The correct answer or possible sequence is the value of N/10 is 372.

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The only number that can be repeated twice is 0; there are seven different characters that can be chosen.

There are two potential scenarios.

Here is the first instance:

There are 7!/(7-5) potential sequences if 0 appears 0 or 1 times in the sequence.

There are 2520 possible sequences if 0 appears 0 or 1 times in the sequence.

Here is the second example:

If 0 occurs twice in the sequence, there must be a 0 in ⁵C₂. positions.

If 0 occurs twice in the sequence, 10 spots must be filled with 0.

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In the second scenario, there are a total of 1200 possible possibilities, or 10*120.

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9 months ago