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The weight of a car is modeled with the polynomial 3x2 – 25x + 204. The weight of a truck is modeled with the polynomial x² + 17x + 40
What polynomial represents the total weight of the car and truck?

Step-by-step explanation:

3x+2

3 x 5=15

15 + 2 = 17

so your answer is 17

pemdas

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer:

QUESTION 1

The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.

To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up

Then, we use this value to find the other one

Therefore, the solution is (-1,-5), which is the same showed graphically.

QUESTION 2.

Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).

To verify the solution algebraically, we must multiply the second equation by -6

Then, we use this value to find the other one

Therefore, the solution is (6,0), the same showed graphically.

Step-by-step explanation:

If you don't get it

question 1

solution is (-1,-5)

question 2

solution is (6,0),

The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The system of linear equations:

x+6y=6

y=1/3 x−2

Part A: Graph is shown in the picture.

Part B: The intersection point is (6, 0)

x = 6

y =0

Part C: By substitution method.

[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]

x  = 6

y = 0

Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.

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Answer:

No. two inputs cannot have the same output

Step-by-step explanation:

This is not a function because -2 and 2 have the same output which is 4

HOPE THIS HELPS :)

Answer:

The original price is Rs. 50

Step-by-step explanation:

Let the original price be Rs.x

x+8% of x=54

x+(8/100)*x=54

x+8x/100=54

(100x+8x)/100=54

108x/100=54

x=54* 100/108

x=50.

The original price is Rs. 50

Answer:

Step-by-step explanation:

Let the initial price be x.

We have:

Rewrite it as below and solve for x:

Answer:

20 Yards

Step-by-step explanation:

3 feet = 1 yard

60 / 3 = x yards

20 yards

Answer:

i feel like its A or D i could be wrong but i believe its one of the two

Answer:

The 2 numbers are 14 and 17.

Step-by-step explanation:

Let the 2 numbers be x and y.

x + 11 = 2y

x - 2y = -11...............A

y +20 = 2x

2x - y = 20 ...............B

Multiply equation A by -2:

-2x + 4y = 22............C

Adding B and C :-

3y = 42

y = 14.

Substitute y = 14 in equation A:

x - 2(14) = -11

x = -11 + 28

x = 17.

Answer:

Your answer would be y= -x + 5

Step-by-step explanation:

Hope I helped!

Answer:

-x+5

Step-by-step explanation:

khan told me ;p

Answer:

37.5

Step-by-step explanation:

multiply 50 by .75

same as

50/4=12.5+25=37.5

Answer:

57 cookies

Step-by-step explanation:

32/0.56= 57.14

Answer:

An Ojibwe event in which women of all ages run, bike and canoe.

Step-by-step explanation:

The width of the piece of metal will be 24 inches while the length will be 29 inches.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Let's say the width of metal w then the length will be w + 5

Now if we cut 1 inch square from the corner of the metal and then fold then the resultant cuboid will have;

Length = w+5 - 2 -= w + 3

Width = w - 2

Height = 1

So,

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

594 = w² + 2w + 3w - 6

w² + w - 600 = 0

By solving this

w = 24 so width will be 24 and length will be 24 + 5 = 29.

Hence "The width of the piece of metal will be 24 inches while the length will be 29 inches".

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Answer:

D   Trust Me

Step-by-step explanation:

Answer:

I is D

Step-by-step explanation:

I just counted by to on all of the squares and got 52

Answer:

87

Step-by-step explanation:

sorry if im wrong

Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours

Represent the time the Hill family and the Moore family use the sprinkler with H and M.

So, the total time is:

[tex]H + M = 60[/tex]

And the rate is:

[tex]25H + 20M = 1325[/tex]

Make H the subject in [tex]H + M = 60[/tex]

[tex]H= 60 - M[/tex]

Substitute 60 - M for H in [tex]25H + 20M = 1325[/tex]

[tex]25(60 - M) + 20M = 1325[/tex]

Open brackets

[tex]1500 - 25M + 20M = 1325[/tex]

Collect like terms

[tex]- 25M + 20M = 1325 - 1500[/tex]

[tex]- 5M = -175[/tex]

Divide both sides by -5

[tex]M = 35[/tex]

Recall that:

[tex]H= 60 - M[/tex]

So, we have:

[tex]H = 60 - 35[/tex]

[tex]H = 25[/tex]

Hence, Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours

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Step-by-step explanation:

9x+79+56=180(sum of angles of triangle)

9x+135=180

9x=180-135

x=45÷9

x=5

Answer:

  (a)  -∞ < x < ∞

Step-by-step explanation:

Unlike the square root function, the cube root function is defined for all values of its argument. Here, x can take on any value and the function will be defined for that value.

  -∞ < x < ∞

Answer:

0

Step-by-step explanation:

125×^6_81=0

×^6 we do not support this expression

ans = 0

Answer:

8%

Step-by-step explanation:

when solving with percentages, you can “cross multiply”,

we know the fraction would be set up this way:

[tex]\frac{769}{9950}*\frac{x}{100}[/tex]

*there would be an 100 bc a percentage is out of 100*

Now, you have to multiply 769 by 100

[tex]769*100=\\ 76900[/tex]

Then divide by 9950 to get “x”

[tex]79600/9950=\\ 8[/tex]

hope this helps!

The information that was given to Harry about Crouch was that it was Crouch who gave the order for him to be sent to the wizard prison without a trial.

It should be noted that when Harry went to Hogsmeade, he brought food for Sirius and he was still in his dog form. Sirius then led them to a cave.

In the cave, they saw Buckbeak, the hippogriff. Sirius then turned back to a human being. He then gave Harry the piece of information that Crouch gave the order for him to be sent to Azkaban which was a prison for wizards.

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Answer:

Answer:

it becomes a 12 by 20

Step-by-step explanation:

Answer:

[tex] {10}^{12} = 1000000000000[/tex]

[tex]3 \times {10}^{12} = 3000000000000[/tex]

[tex] {10}^{11} = 100000000000[/tex]

[tex]4 \times {10}^{11} = 400000000000[/tex]

Step-by-step explanation:

The value of 3 × 10¹² is greater than 4 × 10¹¹

The standard scientific expression is given as A * 10^n

For the notation 3 × 10¹², we can see that the power is 12 while for the notation  4 × 10¹¹, the power is 11. Since 12 is greater than 11, hence the value of 3 × 10¹² is greater than 4 × 10¹¹

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Answer:

answer ????

Step-by-step explanation:

Answer:

y=-2x-3

Step-by-step explanation:

the slope is 2/1 going down and the y intercept is -3

Answer:

m= 2

b=9

Step-by-step explanation:

-4, 1 -3,3

put it into y2-x2 divided by y1-x1

y2= 3

x2= 1

y1= -3

x1=-4

3-1 divided by -4--3= 2/1    =2x

get one of the points either -4,1 or -3,3

If you use -4,1    -4=x 1=y

put it into y=mx+b and you get 1= -4(2)+b    simplify

1=-8+b add 8 to other side b=9

[tex]\text{Given that,}\\\\\\f(x) = 9x^3 -x^2 +2 \\\\f(2) = 9(2^3) - 2^2 +2\\\\~~~~~~~ = 9(8) -4 +2 \\\\~~~~~~~= 72 -2 \\\\~~~~~~~=70[/tex]

The student's work is incorrect, and the reason is (a) No, the student should have added 3 4 to get the total number of sections, and used the fraction 3/7 instead of 3/5

From the complete question, the given parameters are:

[tex]Ratio =3 : 4[/tex] ---- the ratio

[tex]A = -6[/tex]

[tex]B = 2[/tex]

The student's steps are as follows:

[tex]C = \frac 34 (2 -(-6)) + (-6)[/tex]

[tex]C = \frac 34 (8) + (-6)[/tex]

[tex]C = 6 -6[/tex]

[tex]C = 0[/tex]

To determine the position of point C from the given ratio, we make use of the following quotient;

[tex]Position = \frac 3{3 + 4}[/tex]

[tex]Position = \frac 37[/tex]

This means that, the student ought to add 3 and 7, to get the total number of section.

Hence, the student's work is incorrect, and the reason is (a)

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Answer:

A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7

Step-by-step explanation:

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