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2 years ago

I have to simplify each expression and justify each step

Mathematics

1 answer:

algol [13]2 years ago

8 0

Ok, so according to BODMAS (which stands for brackets, orders, division, multiplication, addition and subtraction), we have to solve the expression inside the bracket first, then solve the division and multiplication. So in this case we have,

3x times (7 times x)
= 3x times (7x) --> we have multiplied 7 and x)
= 21x^2 (^2 means squared)

Hope this helps!

You might be interested in

How many solutions does the equation have? show your work.

Inessa05 [86]

All real numbers

7w-(2+w) = 2(3w-1)

Expand

7w-(2+w)= 6w-2

7w-2-w=6w-2

Group like terms

6w-2=6w-2

Add 2 to both sides

6w=6w

subtract 6w from both sides

0=0

True for all w

6 0

2 years ago

Read 2 more answers

A phone plan costs $29.99 per month and includes 200 minutes of calling time. Minutes over 200 are charged at a rate of 25 cents

mylen [45]

Step-by-step explanation:

357-200 is 157 extra minutes (we are only counting the extra minutes)

157*0.25 is 39.25 (this is how much is the extra minutes in total cost)

therefore, add 39.25 and 29.99

29.99+39.25 is 62.24

Therefore, the total bill was $62.24

hope this helps :)

Have a nice day !

5 0

3 years ago

Solve –19 = x – 4. Question 9 options: A) x = –15 B) x = –23 C) x = –76 D) x = 25

AveGali [126]

Answer:

A.) x = -15

Step-by-step explanation:

-19+4 = x

x = -15

4 0

2 years ago

Rewrite the expression (19x3 – 5x2 + 6x – 2)/(x + 1) in the form q(x) + r(x)/b(x) where q(x) = quotient, r(x) = remainder, and b

wolverine [178]

We are asked to perform the long division on the following expression.

$\frac{(19x^3-5x^2+6x-2)}{(x+1)}$

Let us perform the long division.

So, we have

Quotient: q(x) = 19x^2 - 24x + 30

Remainder: r(x) = -32

Divisor: b(x) = x + 1

Therefore, the equivalent expression is

$19x^2-24x+30-\frac{32}{(x+1)}$

The 3rd option is the correct answer.

7 0

1 year ago

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit. The production grou

krok68 [10]

Answer:

We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Step-by-step explanation:

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is: $H_0: \mu = 12$

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

$H_a: \mu \neq 12$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that $\mu = 12$

They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.

This means, respectibely, that $n = 15, X = 12.05, \sigma = 0.08$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}$

$z = 2.42$

Pvalue of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.

Looking at the z-table, z = 2.42 has a pvalue of 0.9922

1 - 0.9922 = 0.0078

2*0.0078 = 0.0156

What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?

0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

6 0

2 years ago