3 years ago

One half of a number added to two thirds of the number is 21. Find the number and show your work

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

The number would be 18.
Half of 18 = 9
Two thirds of 18 = 12
9 + 12 = 21

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Choose the graph that matches the inequality y < –2x + 4.

IceJOKER [234]

Answer:

Step-by-step explanation:

You know that if its < or >, the line is - - - -, not a fully dark line.

So it would be either A or C

Plot in some numbers for x

Less than would be to the left.

So it wouldn't be A, leaving us with C

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2 years ago

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What is 2s+(−4s) 2s+(−4s)?

algol13

It’s -4 because you need to like distribute then add like terms, etc.

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3 years ago

a cone-shaped storage tank has a height of 9feet and radius of 7feet. determine the volume of liquid the tank can hold.

Drupady [299]

Answer:

(PI* radius^2 * height) / 3

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Step-by-step explanation:

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3 years ago

Find the solution set. |x| = -4 A. { } B. {-2, 2} C. {-4, 4} D. {-16, 16}

Ray Of Light [21]

Answer:

A. { }

Step-by-step explanation:

Absolute value cannot be less than zero.

-4 < 0

There is no solution for x, ∈, R.

Hope this helps.

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3 years ago

In the third degree polynomial function f(x) =x^3 + 4x, why are 2i and -2i zeros?

IgorC [24]

Answer:

We just need to evaluate and get f(2i)=0, f(-2i)=0.

Step-by-step explanation:

Since $i^2=-1$ , then $i^3=i^2i=-i$ , and we can apply this when we evaluate $f(x) =x^3 + 4x$ for 2i and -2i.

First we have:

$f(2i) =(2i)^3 + 4(2i)=2^3i^3+8i=8(-i)+8i=0$

Which shows that 2i is a zero of f(x).

Then we have:

$f(-2i) =(-2i)^3 + 4(-2i)=(-2)^3i^3-8i=-8(-i)-8i=8i-8i=0$

Which shows that -2i is a zero of f(x).

4 0

3 years ago