Mathematics High School

A car travels along the highway to Austin at a steady speed. When it begins, it
is 500 miles from Austin. After 5 hours, it is 200 miles from Austin. Which
function describes the car's distance from Austin?
A. y = 60x-500
B. y=-60x+ 500
O c. y=-40x + 500
D. y = 60x + 200

A Car Travels Along The Highway To Austin At A Steady Speed. When It Begins, Itis 500 Miles From Austin.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

x is hour. {from the question}

k = [tex]\frac{-500+200}{5}[/tex]

[tex]=\frac{-300}{5}[/tex]

[tex]=-60[/tex]

So [tex]y=-60x+500[/tex] choose A.

I hope this helps you

:)

Answer 2

The function that describes the car's distance from Austin is

y = -60x + 500.

What is a function?

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, codomain, and domain for every function.

Let x be the time period in hour.

And y is the distance from Austin.

We substitute the value of x =5 to the functions and see if it gives the output 200.

In A:

y = 60x -500

y = 60(5) - 500

y = -200

Distance is not negative. So, this is not a required function.

In B:

y = -60x +500

y = 200 miles.

This is a required function.

In C:

y = -40x + 500

y = -200 + 500

y = 300 miles.

This is not a required function.

In D:

y = 60x + 200

y = 300 + 200

y = 500 miles.

This is not a required function.

Therefore, y = -60x +500 is a required function.

To learn more about the function;

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Related Questions

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

x=229.8

Step-by-step explanation:

We can use a trigonometric ratio to solve for x.

If we use 72 as our reference angle, we can solve for x using cosine: [tex]cos (72)=\frac{71}{x} \\\\x*cos(72)=71\\\\x=\frac{71}{cos(72)}\\ \\x=229.7608=229.8[/tex]

Do either 23, 24, or 26 please you can do one of those please

Answers

Answer 23:

Lina would pay $19,600 in the four years.

Step-by-step explanation:

To find the answer of this problem, you'll first have to find how much she payed in interest.

To find the interest:

[tex]\frac{14,000}{x}[/tex]=[tex]\frac{4}{100}[/tex]  (Cross Multiply)

or if you like the equation version: x=.04($14,000) = $5,600

Great! Now you've gotten the interest she has to pay. Now that you have that, add the interest and the total she borrowed from the bank.

$14,000 + $5,600 = $19,600

There you go, and that is you find the answer to Problem 23.

A rectangular prism is 10 inches tall, 7 inches wide, and 3 inches long . What is the volume of the prism

Answers

Answer:

Step-by-step explanation:

Volume of the prism = l * b * h

                                  = 10  * 7 * 3

                                 = 210 in³

❍ Question -:

A rectangular prism is 10 inches tall, 7 inches wide, and 3 inches long . What is the volume of the prism

❍ Explanation -:

Given -:

Length = 10 inchesBreadth = 7 inchesHeight = 3 inches

To Find -:

Volume of the prism

Solution -:

We know,

[tex] \large\boxed{ \rm{ Volume_{(rectangular \: prism)} = L × B × H}}[/tex]

Where,

L stand for LengthB stand for BreadthH stand for Height

Substituting the values in the given formula

[tex] \large\sf{ Volume_{(rectangular \: prism)} = ( 10 ×7 × 3) inches ³}[/tex]

[tex] \large\sf{ Volume_{(rectangular \: prism)} = 210 \: inches ³}[/tex]

Volume of the rectangular prism = 210 inches³

[tex] \rule{55mm}{2pt}[/tex]

While out shopping for new clothes, Xaoting sees a sign for cozy socks advertised on sale for $3. 50 per pair. The regular price of the socks is $5 per pair. Xaoting buys 3 pairs and notices that the socks do not ring up at the advertised sale price, so she has the cashier do a price check. If the sales tax is 8%, how much does Xaoting save by paying attention at the register? a. $3. 66 b. $4. 50 c. $4. 86 d. $5. 70.

Answers

The Xaoting will save $4.86

We have to find how much Xaoting will save

Therefore we  need to calculate the prices of the socks without the advertised sales price.

We have given that $5.00 per pair,

Xaoting buys 3 pairs and notices that the socks do not ring up at the advertised sale price. and sales tax is 8%.

$5.00 per pair x 3 = $15

Sales tax = 8% or 0.08

What is the formula for total price?

Total price=total fixed cost+ total variable cost

Therefore,

Total price=total fixed cost+total variable cost

                 = (15.00 x 0.08) + 15.00

               = 1.20 + 15.00

                 = $16.20

Total price = $16.20

Now have to find how much it would be if the socks were on the advertised price.

Advertise on sale for $3.50  per pair

So,

$3.50 x 3 = $10.50

Advertised Total price = (10.50 x 0.08) + 10.50

                                     = 0.84 + 10.50

                                     = $11.34

So,

To find how much Xaoting will save by subtracting the regular price to the advertised price.

Savings = $16.20 - $11.34

             = $4.86

           

Therefore,

The Xaoting will save $4.86

To Learn about how much save price visit:

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Connecting representations

Answers

Good job man, I think that’s rig ur Bc of the triangle shape

Numbers in the circles if it’s blurry:
1) 5mi π/4
2) 11mi 4π/3

Answers

Answer:

1) C 2) A

Step-by-step explanation:

fourmola =>

[tex]l \: = \: r \: \times \: \alpha [/tex]

alfa In the radian unit

Answer:

1) The answer is C.

2) The answer is A.

3) The highlighted answer of C is correct!

(If any of the information that I have given you is incorrect I am truly sorry. It has been a couple of years since I have taken a math class.)

please help
please i’ll mark

Answers

Answer:

The answer for your question is "False"

find VALUE X
PPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

20

Step-by-step explanation:

4x + 5x = 180

9x = 180

/9      /9

x = 20

:)

Lizzy had 15 pencils and gave some away. Now she had 5 pencils




Need now

Answers

Answer:

she gave away 10 pencils

Step-by-step explanation:

15-5=10

three consecutive integers have a sum of 83. find the integers.

Answers

Let those numbers x, x+1, x+2
Now x+x+1+x+2=83
3x+3=83
3x=80

answer quick please!

Answers

B because B is the answer

Last question on the first Khan assignment!

Answers

Answer:

x=6

Step-by-step explanation:

(×+54)+5×=90

6×+54=90

90-54

6×=36

×=6

Factor completely x2 64. (x 8)(x − 8) Prime (x 8)(x 8) (x − 8)(x − 8).

Answers

Factor when divides the polynomial then the remainder is 0. The factorized form of the polynomial x²-64 is (x+8)(x-8).

What is a factor?

A factor of n is a number which when multiplied by another number gives us the number n.

In order to factorize the given polynomial x²-64, we need to use the algebraic identity, therefore, we will use the identity,

[tex]x^2 - y^2 = (x+y)(x-y)[/tex]

As we can see that the given polynomial can be written as,

[tex]x^2 -64\\\\= x^2 - 8^2\\\\= (x+8)(x-8)[/tex]

Hence, the factorized form of the polynomial x²-64 is (x+8)(x-8).

Learn more about Factors:

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#6
In 2014, the average cost of a new car in the United States was 3.2 x 104 dollars.
About 1.6 x 10' new cars were sold in the U.S. during 2014. Which is the
approximate total cost of the cars sold in the U.S. during 2014?

Answers

The answer is A 7.24

Eight grade alegbra one

Answers

Answer:

1.8 (the yearly fee)

Step-by-step explanation:

The slope of an equation is how the line will move on the graph. Since we already have the fixed price of 39 dollars, that will be the y-intercept of the graph, or where we start with our line. Since each year the fee is 1.8, the line changes by 1.8 in y for every x.

Answer:

1.8

Step-by-step explanation:

The slope of an equation is how the line will move on the graph. Since we already have the fixed price of 39 dollars, that will be the y-intercept of the graph, or where we start with our line. Since each year the fee is 1.8, the line changes by 1.8 in y for every x.

George bought 2.5 pounds of each type of fruit shown on the sign apples $1.30/lb,grapes $1.65/lb,bananas $0.49/lb.what was the total cost of the fruit he bought?

Answers

Answer:

$8.60

Step-by-step explanation:

Let’s find the cost for each item

Apples: 2.5 x 1.30 = 3.25

Grapes: 2.5 x 1.65 = 4.125

Bananas: 2.5 x 0.49 = 1.225

Now we will add all the costs which will give use our total!

3.25 + 4.125 + 1.225 = 8.6

So the answer will be $8.60

I'm very confused on this....please answer thank you!!

Answers

It would be y=8x+2/3

Explanation:
Y=|3/4x| is an absolute value
Y=x^3+8 is quadratic
Y=8+5/6x^2 is also quadratic (you can tell it’s quadratic because it has an exponent)

Can someone please help me Factor 100x2−20xy+y2

Answers

Answer:

(10x-y)^2

Step-by-step explanation:

1

 

Rewrite it in the form {a}^{2}-2ab+{b}^{2}a2−2ab+b2, where a=10xa=10x and b=yb=y.

{(10x)}^{2}-2(10x)(y)+{y}^{2}(10x)2−2(10x)(y)+y2

2

 

Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}(a−b)2=a2−2ab+b2.

{(10x-y)}^{2}(10x−y)2

Simplify 4h + 3h + h
Pleaseee help asap
Thank youuu

Answers

Answer:

Combine like terms4ℎ+3ℎ+ℎ8ℎ

Solution8ℎ

Step-by-step explanation:

I’m pretty sure the answer would be 8h

please answer with steps

question down below

Answers

Answer:

8

Step-by-step explanation:

We need to isolate the equation I 5k - 4 I, which means we need to get rid of the 2.We can do this by subtracting the 2 from both sides.Now we have I 5k - 4 I = 44.Add 4 to both sides.5k = 40Divide by 5 on both sides.k = 8.

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

How much. Calories does Megan burn in 30 minutes?

Answers

Answer:

300 calories is lost in 30 minutes

Step-by-step explanation:

if we divide the x axis in 10s and the y axis in 100s,

then when we check the 30 min mark on x axis and the graph line, it corresponds goes on to correspond to the 300 mark on y axis.

Hope this helps!

Roberto has 200 dollars in spending money. He wants to buy some video gamesthat cost 25. 50 each. Write and solve an inequality to findthe number of games roberto can buy

Answers

Answer:

7

Step-by-step explanation:

200/25.50

7.8

.8 won't be a robot.

The probability that lloyd wins a game is 1/9 find the probability that Lloyd does not win

Answers

Answer:

probabilty that lloyd doesnt win a game = 1 - p(winning a game)

                                                                         1 - 1/9

                                                                       =8/9

PLEASE HELP ME!!!

i’ll mark brainliest if you’re correct

Answers

Answer:

X is an algebraic variable that has no defined value.

Step-by-step explanation:

What is the start time?

End time:10:08
elapsed time :30 minutes

Answers

Answer:

9:38

Step-by-step explanation:

BRAINLY PATROL DONT DELETE THIS!

10:08-30=9:38

The school that Lisa goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 4 adult tickets and 6 child tickets for a total of $130. The school took in $280 on the second day by selling 10 adult tickets and 12 child tickets. Find the price of an adult ticket and the price of a child ticket.

Answers

Answer:

adult  $10   Children $15

Step-by-step explanation:

4A + 6C = 130

10A + 12C = 280

Multiply the first by -2 to eliminate C

-8A -12C = - 260

10A +12C = 280

   ADD BOTH

2A = 20

A=10    ($10 per adult)

   40+6C = 130

6C = 90

C=15 (15 per child)

 

How far can he travel in 2 hours 7 minutes?

Answers

Answer:19.05

Step-by-step explanation:127 min * (9000m/60min)=19050m=19.05km

Inverse of {(0,-4), (-4,3), (3,2), (2,1)} please? I’m confused about how to get the answer

Answers

Answer:

(3,−4),(7,−2),(0,−1),(−3,4),(−7,11)

How to find?

Inverse the [tex]x x[/tex] and [tex]yy[/tex] in each of the points location.

Want some pictures?

Look below, there will be a screenshot of a graph I made.

Thanks!

Answered by: FieryAnswererGT

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23 inches = how many feet

Answers

1’11”

Explanation:
12in in a ft so 24in = 2ft, but 23in only is 1ft 11in
Ft = ‘
In = “
Hope this helps!

Answer:

1.9166666 . . . or 1 and 23/24

Step-by-step explanation:

1 foot is 12 inches, and 23 divided by 12 is 1 and 23/24

23/12 = 1.9166666 . . . . or 1 and 23/24

x multiplied by 11 is less than or equal to 33

Answers

Answer:

x [tex]\leq[/tex] 3

Step-by-step explanation:

11x  [tex]\leq[/tex]  33

x [tex]\leq[/tex] 33/11

x [tex]\leq[/tex] 3

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