Two skaters are practicing at the same time on the same rink. A coordinate grid is superimposed on the ice. One skater follows the path y = −2x + 32, while the other skater follows the curve y = −2x2 + 18x. Find all points where they might collide if they are not careful.

Answers

Answer 1

Answer:

The skaters will collide at the points;

(2,28) and (4,24)

Step-by-step explanation:

The points they might collide will be the points when both y are equal;

-2x + 32 = -2x^2 + 18x

2x^2 -18x -2x + 32 = 0

2x^2 -20x + 32 = 0

2x^2 - 16x - 4x + 32 = 0

2x(x -8) -4( x -8) = 0

(2x -4)(x -8) = 0

2x = 4 or x = 8

x = 4/2 or x = 8

hence; x = 2 or 8

Now let’s get the y value

at x = 2, just substitute into any of the 2

y = -2x + 32

y = -2(2) + 32

y = -4 + 32 = 28

at x = 4

y = -2(4) + 32

y = -8 + 32

y = 24

The points that they will collide are;

(2,28) and (4,24)

Answer 2

Answer:

They will collide at (2,28),(8,16)

Step-by-step explanation:

savaas


Related Questions

Enter the correct answer in the box by replacing the values of m and b.

Answers

Answer:

f(x) = -2x + 5  Plato

Step-by-step explanation:

Solve this 8x+5/2=13

Answers

Is that 8 X or multiplication sigh?

Answer: There are actually 3 answers for this ahaha, but this is the EXACT ONE: 21/16 in DECIMAL FORM it's 1.3125 in MIXED NUMBER FORM it's 1 5/16

Step-by-step explanation:

How much is 37 1/2 percent of 48.72?

Answers

Answer:

18.27

Step-by-step explanation:

18.27

Answer: 18.28125

Step-by-step explanation:

Convert 37.5% to a decimal:

0.375

Multiply 48.72 by the decimal:

48.72(0.375)

18.28125

This can be rounded to 18.28 if you need.

Hope this helps!

5.401×10
−1 as a standard form.

Answers

A negative exponent means to move the decimal point to the left the number of the exponent.

10^-1 you would move the decimal 1 place to the left.

5.401 x 10^-1 = 0.5401

[tex]\huge\boxed{0.5401}[/tex]

We have the equation...

[tex]\boxed{5401*10^-^1=(?)}[/tex]

Multiply 5401 by 10⁻¹.

[tex]\boxed{5401*10^-^1=0.5401}[/tex]

Therefore, your final answer is [tex]\boxed{0.5401}[/tex]

Write the slope intercept form of an equation for the line containing (0,-3) with slope -1.

Answers

Answer:

y=-x-3

Step-by-step explanation:

Formula (point slope): y-y1=m(x-x1)

y-(-3)=-1(x-0)

(distribute the -1)

y+3=-1x+0

(combine like terms)

y=-1x-3

Write an equation of a line through the point (6, 2) with slope 2/3.

Answers

Answer:

y=2/3x-2

Step-by-step explanation:

Matthew is going on a trip to Hawaii and takes a limo to the airport. The driver says it will cost $20 plus 12 cents a mile. Matthew lives 50 miles from the airport. please hurry to answer

Answers

Answer:

$26

Step-by-step explanation:

Step one:

given data

cost of limo=$20

cost per mile= 12cent to dollar = $0.12

Step two:

let the total cost be y

and the number of mile be x

the model for the situation is

y=mx+c

Step three:

given x=50mile

y=0.12(50)+20

y=6+20

y=26

$26

Matthew will spend $26 to get to the hospital

Find the value of x and y

Answers

Answer:

(5x+4)=114(vertically opposite angle)

5x=114-4

x=110/5

x=22

(3x-24)+(2y)+144=180(sum of straight line angle)

(3X22-24)+(2y)=180-144

(66-24)+2y=36

42+2y=36

2y=36-42

y=(-6)/2

y=-3

Plz help me
Find the rational approximation of square root 7 to the nearest tenth.

Answers

Answer:

2.6

Step-by-step explanation:

Open-end credit is A: a loan given for a short period of time that is not dependent on credit history. B: pledged to a company as security for a loan repayment. C: an amount of time during which a loan can be repaid without interest. D: an agreement with an institution on a certain amount that can be repeatedly borrowed.

Answers

Answer:

D

Step-by-step explanation:

Here we want to select which of the options best define open end credit.

When we talk of open end credit, we are referring to a loan system in which the borrower of the loan can payback and consistently borrow the loan from the lender.

In this case, what we are saying is that the borrower can payback a certain amount and still get an amount of money from the balance of the loan.

In simple case, it is a system of borrowing and loan repayment simultaneously

Describe how to find the measure of the exterior angle.

Answers

Add sums of measures of 2 remote interior angles.

I should pay attention in class more smh

Answers

Answer:

I think the slope is unidentified.

Hope this Helps!

Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?

Answers

Answer:

8 gallons left

Step-by-step explanation:

0.75 times 4=3

11-3=8

hope this helps :)

solve for t..... -3(t-5)= -30 please help its for today!!!

Answers

The answer is T=15 :)

What is the word name for 716,270,408?

Answers

Answer:

Seven hundred sixteen million, two hundred seventy thousand, four hundred eight

Step-by-step explanation:

Answer:

seven hundred sixteen million two hundred seventy thousand four hundred and eight

Step-by-step explanation:

is y=5x proportional or non proprtional.

Answers

Answer:

Yes, y=5x is proportional. Hope this helps!

y=5x is proportional

(a) On the grid above, draw the line x = 3

Answers

The Graph will look like this:

The graph will show a vertical line crossing the x-axis at x = 3 and extending infinitely in both the positive and negative y-directions.

The equation x = 3 represents a vertical line that passes through the point (3, 0) on the Cartesian coordinate system. This means that for every value of y, the corresponding x-coordinate is always 3. Since the line is vertical, it extends infinitely in both the positive and negative y-directions.

To visualize the line x = 3 on a graph:

1. Draw two perpendicular axes, the horizontal x-axis, and the vertical y-axis.

2. Since x = 3, draw a vertical line passing through the point where x = 3 on the x-axis (at x = 3) and extending through the entire y-axis.

The resulting graph will show a vertical line crossing the x-axis at x = 3 and extending infinitely in both the positive and negative y-directions.

Learn more about graph here

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A 42​-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first​ piece, and the third piece is Two inches more than seven times the length of the first piece. Find the lengths of the pieces.

Answers

Answer:

4, 8, 30

Step-by-step explanation:

Let's call the first piece x. If the first piece is x, then the second piece is 2x and the third piece is 7x + 2.

Equation:

x + 2x + 7x + 2 = 42

10x + 2 = 42

10x = 40

x = 4

The First piece is 4 inches

Now all we do is substitute the x for 4. Therefore, the second piece is 8 inches and the third piece is 30.

Hope this helps!!!

do any of you know how to do algebra 2 ?

Answers

Answer: Were is the math problem at?

Emma biked 15 miles. One mile is approximately equal to 0.6 kilometers. What is the number of kilometers Emma biked?

Answers

Answer:

About 9 kilometers

Step-by-step explanation:

15x.6= 9

Answer: x = 9

Step-by-step explanation:

I’ll use x as the number of kilometers Emma bikes

1/0.6 = 15/x - set up proportion

1x = 9 cross products

x = 9 - divide both sides by 1 and you get 9

What is the equation of this line?


y=12x−2

y=−12x−2

y=2x−2

y=−2x−2

Answers

y=-2x=0 :) hope it helped

"One less than the quotient of a number and -5.

Answers

Answer:

(x/-5) - 1

"The quotient of a number  x and - 5 " x/-5

"one less" means you will subtract  1 from it.

What is an algebraic expression?

an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.

Example of an algebraic expression

3x² − 2xy + c is an algebraic expression. Since taking the square root is the same as raising the power, is also an algebraic expression

seven divided by twice a number 7 ÷ 2n or

three times a number decreased by 11 3n - 11

if 1 bag of popcorn would fill 2 paper bags, and i have 24 bags of popcorn, how many paper bags do i have? ( please help!! urgent aahhh )

Answers

Answer:

48

Step-by-step explanation:

1 b = 2p

24 b = 48  p

award brainliest if this helped! :)

What is the factorization of the expression below?
25x^2 - 36
A. (5x+6)(5x-6)
B. (5x-6)(5x-6)
C. (5x- 4)(5x-9)
D. (5x + 4)(5x-9)

Answers

i think its D????????????????????????


5x5 = 25
9 x 4 = 36
- and a + equals a -



Answer: The answer is A, (5x+6)(5x-6)

Step-by-step explanation: The negative and positive 6 will cancel out the regular X, meaning that 25x^2 and -36 are the only numbers left.

5(2к)
What expressions is equivalent to this?

Answers

Answer:

10k

Step-by-step explanation:

Answer:

10k

Step-by-step explanation:

distribute the 5 to the 2 and leave the k

please answer the questions circled aka: Lillie’s grandmother is making potato salad for a family reunion. She uses three potatoes for each person attending the dinner. If she expects 24 people to attend the reunion, which proportion can be used to solve for p, the number of potatoes? * AWNSER CHOICES ARE ON THE PICTURE and number 2: A 5 lb. package of chicken costs $6.00. What is the cost per pound? *

Answers

Answer:

c

Step-by-step explanation:

the second question 65cent

The answer is B. This is because the answer has to be 24 x 3 and that is what the proportion shows. The second question is $1.20 per pound it is just dividing 6 by 5 to find the unit rate.

A delivery truck drives three routes in one day. The first route is 1223 miles long, the second route is 1034 miles long, and the third route is 1512 miles long. What is the total number of miles the delivery truck drives? Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Im gessing that you mean this:

A delivery truck drives three routes in one day. The first route is 12 2/3 miles long, the second route is 10 3/4 miles long, and the third route is 15 1/2 miles long.

the awnser is 38 11/12. hopes this helps

The delivery truck total drives 37 miles on those three routes.

What is a fraction?

A fraction describes how much part is there to the total part.

According to the given question, a delivery truck drives three routes in one day.

The first route is [tex]12\frac{2}{3}[/tex] miles long, the second route is [tex]10\frac{3}{4}[/tex] miles long and the third route is [tex]15\frac{1}{2}[/tex] meters long.

To find the total number of miles the delivery truck drives we have to add the distances of all three routes which are in fractions which is,

=  [tex]( 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2} ) miles.[/tex]

= [tex]\frac{37}{3} + \frac{43}{3} + \frac{31}{3} miles.[/tex]

= (37 + 43 + 31)/3 miles.

= 111/3 miles.

= 37miles.

learn more about fractions here :

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Zero of the function:___

X-intercept:____

Y-intercept:____

M:___ (I believe this is the slope)

Answers

x-intercept: -5
y-intercept: 3
m: 3/5

yall play copter royale ?

Answers

Naww I don’t play that game

Answer:

i do i am right noww lol

Step-by-step explanation:

8 x 101 which one is it?
8
8O
800

Answers

Answer:

808

Step-by-step explanation:

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