5. Simplify the expression and find its value when p= 4 and q = -5:
(i) 3 ( p2q + pq2 – pq ) – 6 pq + 3pq2

Answers

Answer 1
Answer: -180

Step-by-step explanation:

[tex] \bf \blue{ \boxed{ \bf p = 4 \: \: and \: \: q = - 5 \Rightarrow pq = 4 \times ( - 5) = - 20}} [/tex]

3(p2q + pq2 - pq) - 6pq + 3pq2 =

3[-20 × 2 + (-20) × 2 - (-20)] - 6 × (-20) + 3 × 2 × (-20) =

3[-40 + (-40) + 20] - 6 × (-20) + 3 × 2 × (-20) =

3(-40 - 40 + 20) - 6 × (-20) + 3 × 2 × (-20) =

3(-80 + 20) - 6 × (-20) + 3 × 2 × (-20) =

3 × (-60) - 6 × (-20) + 3 × 2 × (-20) =

-180 + 120 + 6 × (-20) =

-180 + 120 + (-120) =

-180 + 120 - 120 =

-60 - 120 = -180

Answer 2

Answer:

-180

Step-by-step explanation:

3 ( p2q + Pq2 - pq ) - 6 pq +3pq2

3 [(4)(2)(-5) + (4)(-5)(2) - (4)(-5)] -6 (4)(-5) +3(4)(-5)(2)

3(-40-40+20) + 120 -120

3(-60) +0

-180+0

-180


Related Questions

9x^5 - 24x^4 + 15x^3 Rewrite those four terms as the product of two binomials.

Answers

Answer:

5071

Step-by-step explanation:

if you mutiply xu by the sum of a y then the complete explanation is that

Help me plzzzzzzzzzzzzz

Answers

Answer:

Hi in my opinion maybe the answer is - 1

Answer:

(0, - 1)

Step-by-step explanation:

The y-intercept is the value of y when the x is equal to 0.

PLEASE HELP. ILL VOTE YOU BRAINLIEST!
Vanessa rode her bike to the conclave at 10km per hour and then walked back to school at 4km per hour. If the round trip took her 14 hours, how far was it to the site of the conclave?

The answer would be great but I’d really like to see how to set up the equation to get the answer.

Answers

The answer would be 6m

Please help asap! I will gave brainlest!

Answers

Answer:

option D.

Step-by-step explanation:

for more info see the attachment.

Alvin is 15 years younger than Elga. The sum of their ages is 45. What is Elga's age?

Answers

Answer:

Elga is 30 and Alvin is 15

Step-by-step explanation:

45-15=30

30-15=15

30+15=45

Answer:

[tex]\huge\boxed{\text{Alvin = 15, Elga = 30}}[/tex]

Step-by-step explanation:

In order to find Alvin and Elgas age, we can use a system of equations.

Let us assume that [tex]a[/tex] represents Alvin's age and [tex]e[/tex] represents Elgas age.

We can create two equations:

[tex]a = e-15[/tex]

[tex]a+e=45[/tex]

We can now use substitution to find each value. Let's substitute [tex]a = e-15[/tex] into [tex]a+e=45[/tex] as a.

[tex](e - 15) + e = 45[/tex]

We can now simplify this equation and solve for e.

[tex]2e-15 = 45\\2e = 60\\e = 30[/tex]

So we know that Elga is 30 years old. To find Alvin's age, we can substitute the value of e (30) back into one of the equations. Let's do it for [tex]a+e=45[/tex].

[tex]a + 30 = 45\\a = 45-30\\a=15[/tex]

So Elga is 30 years old and Alvin is 15 years old.

Hope this helped!

Will give brainlist if truly correct
When should you use the median and interquartile range as your measure of center and measure of variability to compare populations shown on a box plot? Check all that apply.
when there are outliers in the data sets
when there are no big gaps in the middle of the data sets
when the plots representing the data are symmetrical
when the plots representing the data are nonsymmetrical
when there are no outliers in the data set

Answers

Answer:

The Answer are 1 ,2, 4

Step-by-step explanation:

when there are outliers in the data sets

when there are no big gaps in the middle of the data sets

when the plots representing the data are nonsymmetrical


Suppose Frank places $8500 in an account that pays 14% Interest compounded each year.
Assume that no withdrawals are made from the account.

find the amount after year 1 and year 2

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$8500\\ r=rate\to 14\%\to \frac{14}{100}\dotfill &0.14\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}[/tex]

[tex]A=8500\left(1+\frac{0.14}{1}\right)^{1\cdot 1}\implies A=8500(1.14)\implies \boxed{A=9690} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~~~~~~ \textit{Compound Interest Earned Amount}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$8500\\ r=rate\to 14\%\to \frac{14}{100}\dotfill &0.14\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=8500\left(1+\frac{0.14}{1}\right)^{1\cdot 2}\implies A=8500(1.14)^2\implies \boxed{A=11046.6}[/tex]

Two laboratory technicians are running product quality tests . One technician takes 6 minutes less than the other . What equation would give the amount of time , t , it would take to run the tests if the technicians work together to split the work on the different tests ? 1/(6t) = 1/x - 1/(x - 6) B 1/t = 1/x + 1/(x - 6) Oct t = x + x - 6 1/t = 1/x - 1/(x - 6)

Answers

Answer:

C. t = x + x - 6

Step-by-step explanation:

Let the time use by other one technician be x

if the other technician takes 6 minutes less than the first technician, then the time taken by the other technician will (x - 6)

The total amount of time t it would take to run the tests if the technicians work together will be expressed by taking the sum of the time taken by the two technician as shown.

First technician = x

Second technician = x-6

Sum of the time taken

t = x+ (x-6)

Hence option C is correct

Someone please help me real quick

Answers

Answer:

1/4

Step-by-step explanation:

You invest $500 when you are 18 years old. If
your money doubles every 3 years, how much
money will you have when you are 36 years old?

Answers

Answer:

30,000

Step-by-step explanation:

I don't have explanation sorry :/

You thought your bookcase was 80” (inches) tall. It was really 75.75“
tall. What was your % error rounded to the nearest tenth?
SOMEONE PLEASE ANSWER !!

Answers

Difference=80-75.75=4.25"

Error

[tex]\\ \rm\Rrightarrow \dfrac{Difference}{Original}\times 100[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4.25}{80}\times 100[/tex]

[tex]\\ \rm\Rrightarrow 0.0535(100)[/tex]

[tex]\\ \rm\Rrightarrow 5.35\%[/tex]

[tex] \boxed{ \pmb{\% \: error = \frac{ |approx - actual| }{actual} \times 100 }}[/tex]

Approx = 80Actual = 75.75

[tex] \sf\% \: error = \frac{ |80 - 75.75| }{75.75} \times 100[/tex]

[tex] \sf\% \: error = \frac{ |4.25| }{ \frac{303}{4} } \times 100[/tex]

[tex] \sf\% \: error = \frac{ 4.25 }{ \frac{303}{4} } \times 100[/tex]

[tex] \sf\% \: error = \frac{ \frac{17}{ \cancel4} }{ \frac{303}{ \cancel4} } \times 100[/tex]

[tex] \sf\% \: error = \frac{ 17 }{ 303 } \times 100[/tex]

[tex] \sf\% \: error = \frac{ 1700 }{ 303 } [/tex]

[tex] \sf\% \: error = 5.6\%[/tex]

Help help help help

Answers

Answer:

(3, -9)

Step-by-step explanation:

5x + y = 7

-x - 2y = - 15

What we can do is multiply the second equation by 5, as we try to combine both equations to get rid of x.

5x + y = 6

-5x - 10y = 75

-9y = 81

y = -9

Now we plug y back in.

5x - 9 = 6

5x = 15

x = 3

742,617 to the nearest ten tousand

Answers

Answer:

740,000

Step-by-step explanation:

The ten-thousands digit is the 4.

Change all digits to the right of the 4 to 0.

742,617 becomes 740,000.

Since the first digit to the right of the 4 is 2, and not a digit from 5 through 9, we keep the 4 and do not change it to 5.

Answer: 740,000

Answer:

the answer is 740000

Step-by-step explanation:

because I have big brain


circle a has center of (-2, 1) and a radius of 3 and circle b has a center of (4, 6) and a radius of 9 which of the following will help show that circle a is similar to circle b?

1. Reflect circle A over the x axis
2. Dilate circle A by a scale factor of 13
3. Translate circle A using the rule (x-6, y-5)
4. Rotate circle A 90° clockwise about the origin

Answers

Answer: The answer is #2

Step-by-step explanation:

Let me know if this helps

(x+2) (x+1)=0
kindly help me with this question
I found the following answer x=0 and x=-1

Answers

Answer:

[tex]x=\begin{bmatrix}-2\\-1\\\end{bmatrix}[/tex]

Step-by-step explanation:

(x+2) (x+1)=0

Isolate the X

=> [tex]\left(x+2\right)\left(x+1\right)=0[/tex]

Divide both sides by the coefficient:

=>[tex]x=\begin{bmatrix}-2\\-1\\\end{bmatrix}[/tex]

Is this a fair or biased sample.

A store owner wants to survey customers about the products he sells. He programs the computer to select 100 customers from the mailing list and sends them each a survey.

(I'm torn on this one because on one hand, he's only selecting customers from his mailing list which makes me think biased, on the other he is using the computer to randomly select them so that seems fair. Also, of the people who are sent the surveys, everyone may not apply. So I'm leaning towards biased.)

Answers

Answer:

biased

Step-by-step explanation:

even with the computer randomly picking people, they are still all on the mailing list.

Rewrite the equation by completing the square 3+x=x^2+3x

Answers

Answer:

the completed square is x=1, -3

About ​8% of the population of a large country is math phobic. If two people are randomly​ selected, what is the probability both are ​math phobic? What is the probability at least one is math phobic​?

Answers

Answer:

the chances both are is=.64%

the chances of only one is=15.36%

Step-by-step explanation:

8%=.08

.08x.08= .0064=.64%

1-(1-0.08)×(1-0.08)

1-.92x.92

0.1536=

15.36%

a) The probability both are math-phobic: 0.0064 or 0.64%.

b) The probability that at least one is math-phobic is 0.1536 or 15.36%.

To determine the probability that both selected people are math-phobic, we can use the multiplication rule of probability.

Since the selection is random, the probability that the second person is math-phobic is also 0.08.

To find the probability that both events occur, we multiply the individual probabilities:

Probability of both being math-phobic = 0.08 x 0.08 = 0.0064

Therefore, the probability that both selected people are math-phobic will be 0.0064 or 0.64%.

To find the probability that at least one person is math-phobic, we can use the complement rule of probability.

The probability that the first person is not math-phobic ;

1 - 0.08 = 0.92.

Similarly, the probability that the second person is not math-phobic is also 0.92.

Probability of none being math-phobic = 0.92 x 0.92 = 0.8464

Probability of at least one being math-phobic = 1 - 0.8464 = 0.1536

Therefore, the probability that at least one person is math-phobic is 0.1536 or 15.36%.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ4

What value of k makes the equation true?

k – 3(k + 5) – 0.5 = 3(0.25k + 4)

Answers

Answer:

k = - 10

Step-by-step explanation:

k - 3(k + 5) - 0.5 = 3(0.25k + 4) ← distribute parenthesis on both sides

k - 3k - 15 - 0.5 = 0.75k + 12

- 2k - 15.5 = 0.75k + 12 ( subtract 0.75k from both sides )

- 2.75k - 15.5 = 12 ( add 15.5 to both sides )

- 2.75k = 27.5 ( divide both sides by - 2.75 )

k = - 10

For this question it has to be k = -10

Please Help!
What is the answer to this question?​

Answers

Answer:

The answer is 8

Step-by-step explanation:

I'm as smart as you. We aren't. ;D

Read the following question

Answers

Answer:

G. Water skiing > Cycling

Step-by-step explanation:

You burn more calories in water skiing

How much would you pay for 14.2 gallons of gas that cost $2.08 per gallon?

Answers

Answer:

$28

Step-by-step explanation:

Cathy travels 6 miles in 10 minutes. How far can she travel in 18 minutes? Write and solve a proportion to answer the question.

Answers

Answer:

10.8 miles

Step-by-step explanation:

Set up a proportion: [tex]\frac{6}{10} = \frac{x}{18}[/tex] Cross multiply, then divide: 18 × 6 = 108108 ÷ 10 = 10.8So, Cathy can travel 10.8 miles in 18 minutes.

I hope this helps!

Describe what happened
a between minute 10 and minute
twenty.

Answers

It stays the same, nothing happens

Answer:

nothing, the graph became neutral at the 1 1/2 mark and stayed that way untill it got to the 20.

Step-by-step explanation:

Does anyone have hard questions concerning arithmetic or geometric sequences?

Answers

Answer:

Nope

Step-by-step explanation:

Nope

Please help if you know.

Answers

Answer:- 617/100+i root 2

Step-by-step explanation: simplify

Write an expression for the
product of 4 and m.

Answers

Answer:

4m

Step-by-step explanation:

Expressions do not have equal signs,  So for the product of 2 things we just multiply them together.

4m

Answer:

4 × M = P

Explanation:

A product is the result of a multiplication expression, so in this case, We're using variables to represent numbers.

P = Product

We're multiplying 4 and M, so lets rewrite this.

4 × M

This is an incomplete expression, but what will we use for our product We can use a variable. Our variable is P. So lets complete this expression.

4 × m = p.

Or, we can put it in a less complex way.

4m.

This also is a incomplete expression, but it means 4 × m.

what do you notice about these three angles HELP!!!!!!!!!!!!!!!!help now!​

Answers

Answer:

They are all obtuse angles being over 90 degrees

Step-by-step explanation:

There all in the hundreds

Help me please!!!!!!

Answers

Answer:

it will take them 12 weeks

Step-by-step explanation:

First, you add the amount of money Lena and Alexis are making each week: $5+$3= $8

Then you divide $96 by the $8: 96/8=12

Therefore, your answer is 12 weeks

~~hope this helped!!~~ :)


If the perimeter of a square is 48 meters, what is the area of that square?

Answers

Answer:

Since in finding perimeter you add the lengths divide the number and substitute it into the formula for area

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