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2 years ago

Define a variable and write an equation to find each number. Then solve.

Mathematics

1 answer:

liberstina [14]2 years ago

7 0

Answer:

-12

Step-by-step explanation:

Let x be "the number."

"Three times a number" means 3x

"is 24 less than the number" means = x-24

Put them togehter:

3x = x-24

2x = -24

x = -12

Check: Is 3(-12) = 24 less than -12? YES.

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Nady [450]

Answer:

A) 2x³+11x²+8x-16

Step-by-step explanation:

When you multiply s(x) by t(x) you get something like this:

$s(x) \times t(x) = (2 {x}^{2} + 3x - 4) \times (x + 4) \\ = 2 {x}^{3} + 3 {x}^{2} - 4x + 8 {x}^{2} + 12x - 16 \\ = 2 {x}^{3} + 11 {x}^{2} + 8x - 16$

5 0

3 years ago

Read 2 more answers

Which inequality represents all values of x for which the product below is defined?

Vedmedyk [2.9K]

Step 1 ) Separate the 4 and x.

$\displaystyle\sqrt{4x} * \sqrt{x+2}$

↓

$\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}$

Step 2 ) Simplify the square root of 4.

$\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}$

↓

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

Step 3 ) Simplify.

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

↓

$\displaystyle\ 2 \sqrt{x(x+2)}$

This is now in its simplest form, so the final answer is...

$\displaystyle\ 2 \sqrt{x(x+2)}$

or it could be...

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

Either one is correct. Only difference is one is in simplest form and one isn't.

•

- Marlon Nunez

7 0

3 years ago

Read 2 more answers

5. A study found that the average time it took a person to find their dream home was 5.9 months. If a sample of

solong [7]

Answer:

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96\frac{0.8}{\sqrt{36}} = 0.26$

The lower end of the interval is the sample mean subtracted by M. So it is 5.9 - 0.26 = 5.64 months

The upper end of the interval is the sample mean added to M. So it is 5.9 + 0.26 = 6.16 months.

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

4 0

3 years ago

Select all the solutions to the quadratic equation x2-4x-12=0

pav-90 [236]

It can be factored.

We need two numbers that multiply to -12 and add to -4, so are two terms would be -6 and 2.

(x - 6) (x + 2) = 0

x = 6
x = -2

6 0

3 years ago

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Is 56 × 19/20 greater than or less than 56?

ikadub [295]

Answer:

Less

Step-by-step explanation:

56 is multiplied by 19/20 which is obviously less than one

8 0

3 years ago

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