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2 years ago

What is a real-world situation that can be modeled by the equation | x - 14 | = 3?

1 answer:

5 0

Absolute value is the distance/difference from a number to the standard number. In this case, the standard value is 14. Let's say 7-year-old Mike is riding his bike up and down the neighborhood street. Mike's house is located on 14th Avenue. Mom told Mike to stay within 3 blocks from home, so Mike can go as far north the 17th street and as far south to 11th street.
x-14=3 or x-14=-3
x=17 or x=11

I hope this makes sense to you.

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Lucy's pet snake eats 2 mice a week how many mice will she eat in 6 weeks

alexgriva [62]

What we know: Lucy's snake eat's 2 mice a week.

To find the answer, you'll have to multiply 2 by 6.

So, since Lucy's snake eats 2 mice a week for 6 weeks.

To find the amount of mice her snake has eaten in the past 6 weeks you'll have to multiply 2 and 6.

2x6=?

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The first week the snake ate 2 mice.

The second week the snake ate 2 mice.

The third week the snake ate 2 mice.

The fourth week the snake ate 2 mice.

The fifth week the snake ate 2 mice.

The sixth week the snake ate 2 mice.

Your answer would be: 12

5 0

3 years ago

I just need an explanation on why I was wrong and why the correct answer is correct

Nookie1986 [14]

Answer:

Step-by-step explanation:

Definition of: Coefficient

A number used to multiply a variable.

Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient.

Variables with no number have a coefficient of 1.

Example: x is really 1x.

coefficients:

3x⁴+ 5x² + 1x

sum of the coefficients:

3 + 5 + 1

8 + 1

4 0

3 years ago

A certain store sells small, medium and large toy trucks in each of the colors red blue green and yellow. the store has an equal

tangare [24]

There is a 1/2 chance that he will get at least one of the two features.

There are 3 x 4 = 12 possibilities. There are all 4 colors of each 3 sizes.

All 4 of the medium trucks have one of the features.

For the other 2 sizes, only the red truck will have one of the features.

There are 4 + 2 = 6 possibilities out of 12 for a chance of 6/12 or 1/2.

3 0

3 years ago

Read 2 more answers

An inequality is shown: −np − 4 ≤ 2(c − 3) Which of the following solves for n?

sesenic [268]

Answer:

$\huge\boxed{n\leq\dfrac{2-2c}{p}\ \text{for}\ p0}$

Step-by-step explanation:

$-np-4\leq2(c-3)\qquad\text{use the distributive property}\\\\-np-4\leq2c-6\qquad\text{add 4 to both sides}\\\\-np\leq2c-2\qquad\text{change the signs}\\\\np\geq2-2c\qquad\text{divide both sides by}\ p\neq0\\\\\text{If}\ p0 ,\ \text{then}\\\boxed{n\geq\dfrac{2-2c}{p}}$

6 0

2 years ago

Solve for x in the equation 2x^2+14x+17=-96

goblinko [34]

$2x^{2}+14x+17=-96 \newline
2x^{2}+14x+113=0 \newline
\Delta = b^{2}-4ac = 14^{2} - 4 \cdot 2 \cdot 113 = -708.$

Since $\Delta$ is negative $\Rightarrow x \notin \mathbb{R}.$

5 0

3 years ago