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Lynna [10]
2 years ago
13

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
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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
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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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