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3 years ago

Simplify 8(3 - 2x) 24x - 16 16x - 24 24 - 16x

Mathematics

2 answers:

STatiana [176]3 years ago

4 0

24-16x when using the distributive property.

BartSMP [9]3 years ago

4 0

Answer:

24x - 16

Step-by-step explanation:

8(3 - 2x)

8 x 3 = 24x

8 x 2 = 16

--------------------------------------------

24x - 16

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(9,-1); m=4/3 write an equation in point slope form for the line through the given point with the given slope

madreJ [45]

For this problem you are going to need to know the point-slope equation which is:
y-y₁=m(x-x₁)

Now, m=slope and the x and y values are given to us already, so now we just plug our variables into the formula.

It should look like this: $y+1= \frac{4}{3}(x-9)$
Since all they are asking for is for you to put it into a formula this will be your answer.

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3 years ago

If you want to buy an item in a store that costs $9.50 and is on sale for 25% off, then how much would the item actually cost yo

eduard

Answer:

<em>See below.</em>

Step-by-step explanation:

Divide the percentage to get decimal form.

$\frac{25}{100} =.25$

Multiply the total by .25.

$9.50 *.25=2.375$

Round to the nearest cent, which would be $2.38$ .

Subtract to get the answer.

$9.50-2.38=7.12$

4 0

3 years ago

Read 2 more answers

Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and

inn [45]

Complete Question

Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites using natural materials. An article reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength (MPa) was 51.1 and the sample standard deviation was 1.2. Suppose the true average strength for 0% fibers (pure cellulose) is known to be 48 MPa. Does the data provide compelling evidence for concluding that true average strength for the WSF/cellulose composite exceeds this value? (Use α = 0.05.)

t=8.169

P-value= ?

Answer:

a) $P-value=0$

b) Hence,We FAil to reject the alternative hypothesis and accept that the true average strength for the WSF/ cellulose composite exceeds 48 MPa.

Step-by-step explanation:

From the question we are told that:

Sample size $n=10$

Mean $\=x= 51.3$

Standard deviation $\sigma=1.2$

Significance level is taken as $\alpha=0.05$

t test statistics

$t=8.169$

Therefore

$P-Value=P(t>8.169)$

Critical point

$t_{\alpha,df}$

$\alpha=0.05$

$df=10-1=>9$

Therefore

P-value from T distribution table

$P-value=0$

Conclusion

$P-value (0)< \alpha(0.05)$

We Reject the Null Hypothesis $H_0$

Hence,We FAil to reject the alternative hypothesis and accept that the true average strength for the WSF/ cellulose composite exceeds 48 MPa.

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3 years ago

Please answer. Find the difference by subtracting the second polynomial from the first. for 10 points!!!!!!!!!!!!!

stellarik [79]

Answer:

$-3x^3+x$

Step-by-step explanation:

Let's first write the expression:

$-3x+x^3-2x^2-(4x^3-2x^2-4x)$

Now we can simplify. Be sure to remember to distribute the "-" to all the numbers in the parentheses. You can picture it like multiply "-1" to all the numbers in the parentheses to make it easier.

$-3x+x^3-2x^2-4x^3+2x^2+4x$

Now we combine like terms.

$x-3x^3$

Write the polynomials by decreasing exponents

$-3x^3+x$

8 0

2 years ago

records indicate that the low temperature for each day of the month tend to have a uniform distribution over the interval 15 to

mixer [17]

Qince the distribution is uniform, the expected temperature is the average: (15+35)/2=25

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3 years ago