{(−7, 2), (−2, 2), (0, 1), (4, 5)}

Given:

[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]

To find:

The values of R, P and Q.

Solution:

We have,

[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]

On combining like terms, we get

[tex](12x^5-6x^5)+(Rx^4-4x^4)+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]

[tex]6x^5+(R-4)x^4+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]

On comparing the coefficients of [tex]x^4[/tex], we get

[tex]R-4=3[/tex]

[tex]R=3+4[/tex]

[tex]R=7[/tex]

On comparing the coefficients of [tex]x^2[/tex], we get

[tex]P=9[/tex]

on comparing the constants, we get

[tex]Q-5=7[/tex]

[tex]Q=7+5[/tex]

[tex]Q=12[/tex]

Therefore, [tex]R=7,P=9[/tex] and [tex]Q=12[/tex].

Answer:

6000 pieces of candy will be made in a 4 hour shift

Step-by-step explanation:

the ratio is 18000/12 if you find the unit it would be 1,500 pieces per 1 hour. multiply that by 4 and you would get 6000.

Answer:

0

Step-by-step explanation:

The slopes of parallel lines are equal.

Since the slope of the 2nd Ave. line is horizontal, it has no slope.

This means that the new road should also have no slope.

Hope this helps.

The 2nd-eve line is horizontal then the slope of the line will be zero.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is defined as the ratio of the rise to the run.

Given that a city planner wants to build a road parallel to 2nd Ave. The 2nd eve has the horizontal line.

The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 0 - 0 ) / ( -4 + 2 )

Slope = 0

Therefore, the 2nd-eve line is horizontal then the slope of the line will be zero.

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Answer:

208

Step-by-step explanation:

If you multiply 2.08 by ten to the second power (100) Then you get 208

Scientific notations are the way through which a very small or a very large number can be written in shorthand.  The given expression can be written in the standard form as 208.

Scientific notations are the way through which a very small or a very large number can be written in shorthand.  In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

The given expression can be written in the form of an expression as shown below.

2.08 x 10²

= 2.08 × 100

= 208

Hence, the given expression can be written in the standard form as 208.

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Answer:

(c) negative

Step-by-step explanation:

hope this helps

Answer:

The answer to number 1 is geometric sequence of A>

Step-by-step explanation:

Answer:

X intercepts are (-2, 0) and (4,0). it shows on the graph. I wear glasses and I can clearly see. Did u lose ur eyes in iraq or sm????

Step-by-step explanation:

See attachment for math work and answer.

You can also express the x-intercepts as points: (-2, 0) and (4, 0).

Answer:

He used 286.73² in. of wrapping paper.

Answer:

I got 286.73

Step-by-step explanation:

I found the area of all the shapes in the thing and added them.

Pls correct me if I did the adding wrong cuz its 55+20+20+88+103.73

Answer:

y = 15

Step-by-step explanation:

y/3 = 5

Multiply each side by 3

y/3 *3 = 5*3

y = 15

Answer:

3.35 × 10^6

Step-by-step explanation:

Answer:

y = 15.9

Step-by-step explanation:

y = 3 - 4.3x

y = 3 - 4.3(-3)

y = 3 + 12.9

y = 15.9

Answer:

Step-by-step explanation:

y=3-4.3x

y=3-(4.3*3)

y=3-12.9

y=-9.9

Answer:

see below

Step-by-step explanation:

This would be true if the lines are parallel.  We have no information about the lines, so we cannot assume the lines are parallel, so we cannot use the corresponding angles theorem

Answer:

the lines arent parallel

Step-by-step explanation:

the corresponding angles theorem states if the transversal line goes through two parallel lines then the corresponding angles are congruent

Answer: 3) 3/4 5) (0,1)

Step-by-step explanation:

For number 3 you go rise over run. From the point on the y-axis you rise 3 and then run 4 to the x-axis if that makes any sense

1. please start to pay attention

1. an undefined slope is vertical

2. 90-70/15-3 = 20/12 = 10/6 = 5/3

3. 3/4 (rise over run)

4. slope: -1/5   y-intercept: 12

5. 1

6. y = 1/2x +b

   3 = 1/2(1) +b

   3 = 1/2+b

   subtract 1/2 from both sides

   2 1/2 = b

   y = 1/2x + 2 1/2

Answer:35%

Step-by-step explanation:

So I’m not sure this is high school math because i’m still in grade school but...

So what you have to do is make a ratio

so if 70 students out of 200 in college prefer history the ratio should be 70 to 200 or 70:200

Then you want to do 70 * 200 which then you get a answer of .35

then to make .35 into a percent you move the decimal two spaces to the left for a answer of 35%

Hope this helps!

A total of 17.5% of students are college students that prefer history.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Total number of students = 400

Number of college students that prefer history = 70

Percentage is the division of the required number with the whole.

Percentage of students who are college students that prefer history is,

= (70 / 400) × 100

= 17.5%

Hence the percentage of students who are college students that prefer history is 17.5%.

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Answer:

the answer is x=4

Step-by-step explanation:

5x-4=19

5x=16-4

5x=20

x=4. (dividing both sides by 5)

Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

   let the first number = x

               second number  = x + 1

             [tex]\frac{1}{5}[/tex]x

            [tex]\frac{1}{9}[/tex](x + 1)

for the "less" ;

         [tex]\frac{1}{5}[/tex]x -  [tex]\frac{1}{9}[/tex](x + 1) = 3

Multiply through by 45

       45([tex]\frac{1}{5}[/tex]x) - (45) [tex]\frac{1}{9}[/tex](x + 1) = 3 x 45

           9x - 5(x + 1) = 135

           9x - 5x -5 = 135

             4x = 135 + 5

              4x = 140

                x = 35

Now, x+1  = 35 + 1 = 36

The consecutive integers are 35 and 36

the answer is c you just have to solve each one

Answer: 0.08

Dont belive the dummy that said 0.30

Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

Given information:

Antonio's dad bought gas for their family's ATV two weeks in a row.

Last week, he bought 12 gallons for $35.40.

This week, he bought 9 gallons for $25.83.

So, the cost of one gallon for last week is,

[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]

The cost of one gallon for this week is,

[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]

So, the extra charge paid by his dad for the last week for one gallon will be,

[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]

Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

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Answer:

C

Step-by-step explanation:

Answer:

15.0175439

Step-by-step explanation:

856/57 = 15.017

Please tell me if it is correct! :)

Answer:

21+3x

Step-by-step explanation:

multiply the 3 by everything inside the parentheses

Answer:

y=6x-2

Step-by-step explanation:

I THINK I DID THIS LAST YEAR SO IM NOT COMPLETELY SURE HOPE THIS HELPS:)

Answer:

y=1.2x-2

Step-by-step explanation:

add 6x to both sides (5y = 6x-10)

divide both sides by 5 (y = 1.2x - 2)

one point you will find on (0,-2) and another point will be (5,4)

you need at least 2 points to graph the line

Answer:

2/3

Step-by-step explanation:

Initially it would be 4/6 which you can simplify as 2/3

Answer: I think beetlejuice post the answer here look up jewtube

Answer:

-40

Step-by-step explanation:

Answer:

3

Step-by-step explanation: