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Solve for $j$ . $\newline$ $3|j| = 0$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $j =$ _ or $j =$ _

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Solve absolute value equations

Full solution

Q. Solve for

j

.

\newline

3|j| = 0

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

j =

_____ or

j =

_____

Divide by $3$ : Divide both sides of the equation by $3$ to isolate $|j|$ . $\newline$ $\frac{3|j|}{3} = \frac{0}{3}$ $\newline$ $|j| = 0$
Isolate $|j|$ : Determine the values of $j$ that satisfy $|j| = 0$ . $\newline$ Since the absolute value of any number is non-negative, the only number whose absolute value is $0$ is $0$ itself. $\newline$ Therefore, $j = 0$ .

More problems from Solve absolute value equations

Question

3 n^{2}=27

\newline

What are the solutions to the given equation?

\newline

1

\newline

n=\sqrt{3}

\newline

n=3

\newline

n=-\sqrt{3}

n=\sqrt{3}

\newline

n=-3

n=3

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Question

\frac{1}{2} c^{2}+3 c=1

\newline

c=f

c=g

be the solutions to the given equation. If

f>g

, which of the following is the value of

f

\newline

1

\newline

-3+\sqrt{2}

\newline

-3+\sqrt{11}

\newline

3+\sqrt{2}

\newline

3+\sqrt{11}

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\newline

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\newline

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\newline

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\newline

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Question

\$200

with which to purchase hats and t-shirts that are to be sold at his class' next fundraiser. Each hat costs the same amount of money, and each t-shirt costs the same amount of money. If Aiden spends all his money entirely on hats, he will get

40

hats. If Aiden purchases only t-shirts, he will get

80

t-shirts. Which of the following best models the relationship between the number of hats,

h

, and the number of t-shirts,

t

, that Aiden could purchase with this money?

\newline

1

\newline

40h+80t=400

\newline

80h+40t=200

\newline

5h+2.5t=200

\newline

2.5h+5t=200

Posted 2 months ago