Carlos was driving at a constant speed. After three hours he was three hundred miles from E-Town on the highway at the 6 hours he was full and 80 miles from town which fraction which function represents Carlos distance y from the town after X hours

Answers

Answer 1

Answer:

[tex]y = -\frac{220}{3}x + 520[/tex]

Step-by-step explanation:

Given

[tex]x = time[/tex]

[tex]y = distance[/tex]

For the first 3 hours, we have:

[tex](x_1,y_1) = (3,300)[/tex]

At 6 hours, we have:

[tex](x_2,y_2) = (6,80)[/tex]

Required

Express y as a function of x

First, calculate the slope:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{80 - 300}{6 - 3}[/tex]

[tex]m = \frac{-220}{3}[/tex]

[tex]m = -\frac{220}{3}[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

Where:

[tex]m = -\frac{220}{3}[/tex]

[tex](x_1,y_1) = (3,300)[/tex]

[tex]y = -\frac{220}{3}(x - 3) + 300[/tex]

Open bracket

[tex]y = -\frac{220}{3}x + \frac{220}{3}*3 + 300[/tex]

[tex]y = -\frac{220}{3}x + 220 + 300[/tex]

[tex]y = -\frac{220}{3}x + 520[/tex]


Related Questions

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Which of the following articles would most benefit from a problem and solution organization pattern?

An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs
An article comparing the loggerhead turtle rescue efforts on different beaches
An article discussing the life span of the loggerhead turtle
An article explaining why the loggerhead turtle is an endangered species

Answers

Answer:

An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs

Step-by-step explanation:

In the problem and solution organization pattern, it is all about the ability to determine the problems affecting the organisation as well as proffer solutions on how to solve those problems. This would then lead to minimizing cost and maximizing profits. The example above which is about ideas on how to rescue endangered loggerhead turtle eggs is following same pattern.

Solve the system by substitution y = -6x and -2x-7y=40

Answers

Answer:

x=4 y=8

Step-by-step explanation:

which expression is equivalent to (x4)^9

Answers

Answer:

Step-by-step explanation:

[tex](a^{m})^{n}=a^{m*n}\\\\(x^{4})^{9}=x^{4*9}=x^{36}[/tex]

Can you please solve this?

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Answer:

2/ z^4^3

Step-by-step explanation:

the answer is 2/)/7/$$/8/8/$:&:

help me please its hard and im like really not smart.

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Answer:

B

Step-by-step explanation:

Answer:

B= <B

Step-by-step explanation:

The lines indicate the congruence, <G and <C both have the two lines

What is the area of the triangle shown below?
A. 84 sq. units
B. 42 sq. units
C. 20 sq. units
D. 10 sq. units

Answers

Answer:

42 sq. Units

Step-by-step explanation:

I took the test

The area of the triangle shown below is B. 42 sq. units, the correct option is B.

What is the area of a triangle?

The area of the triangle is defined as the product of half the base and the height of the triangle.

We are given the parameters are;

Length of its base = b units

Its height = h units long,

Then we get:

Area of a triangle = 1/2 b h

We are given that;

Base= 14, Height= 6

Now,

The area of a right triangle is given by:

Area = (1/2) * base * height

Substituting the values;

Area = (1/2) * 14 * 6

= 42 square units

Therefore, the area of triangle will be 42 sq. units.

Learn more about area of a triangle;

brainly.com/question/2532574

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Please help me with this homework

Answers

Step-by-step explanation:

a)20.52 approximately

b) 36.9 approximately

c)5.49 approximately 5.5

d)14.9 approximately 15


Please help. Whats the answer

Answers

Answer:

The answer is letter C.

I hope it help

There is 0.162 liter of water in a 1-liter bottle. How much more water should be put in the bottle so it contains exactly 1 liter?

Answers

Answer: 0.838 is the answer to this problem

Because 1.000 - .162= 0.838

simplify this please!

Answers

Answer: 7.745967

Step-by-step explanation:

Answer:

Exact Form:

2√3

Decimal Form:

3.4641016

20% of a is 11. What is a?

75% of b is 12. What is b?

80% of c is 20. What is c?

200% of d is 18. What is d?

Answers

Answer:

hopefully that helps

Step-by-step explanation:

A: 55

B: 16

C: 25

D: 9

help Video
What is an equation of the line that passes through the points (2, 2) and (-2,8)?

Answers

y= -3x\2 + 5 hope this helped :))
The slope is m=-3/2
y-2=-3/2(x-2)
y-2=-3/2x+3
y=-3/2x+5

How many terms are in the following expression? 3d + 5e - 2f + 7

Answers

There are 3 terms d,e,f

Please I really need help fast

Select the compound inequality shown on the graph.
+++
-5 -4 -3 -2 -1 0 1
N
3
4 5

A. x < -1 and x 24

B. x>-1 and x 34

C. -13x34

D. -13x<4

Answers

Answer:

B

Step-by-step explanation:

there is a hole at -1, so -1 is less than x and x is greater than or equal to 4

The compound inequality shown on the graph is x < -1 and x≥4.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the graph for the inequality.

The first part of the inequality is

x < -1

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So, the compound inequality is x < -1 and x≥4.

Learn more about Inequality here:

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Felipe has entered a hot-dog-eating contest. If he can eat 3 hotdogs in 12 minutes, how many hot dogs can he eat in 24 minutes?

Answers

Answer: 6 hotdogs

Step-by-step explanation:

From the question, we are informed that Felipe can eat 3 hotdogs in 12 minute. This means that he can ear one hotdog in 4 minutes (12/3).

The hot dogs that he can eat in 24 minutes will then be:

= 24/4

= 6 hotdogs

A 7 cm x 5 cm rectangle sits inside a circle with radius of 6 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth. 7 cm 6 cm 5 cm​

Answers

Answer:

78.1 cm^2

Step-by-step explanation:

Pi r^2= area of circle

3.14 x 6^2= 113.1

b x h = area of rectangle

5 x7 =35

113.1 - 35= 78.1

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Answer:

The y-intercept is 3,500 and choose B

Step-by-step explanation:

I know it B because the y-intercept represent the starting height of the glider before decreasing down.

Hope this hepled

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PLEASE I WILL GIVE 25 point IF IT IS RIGHT!!

Answers

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Answers

Answer:

6/9

Step-by-step explanation:

Answer: 0.66666666666667

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Answers

Answer:

This graph is NOT a function.

Step-by-step explanation:

A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.

Let me know if this helps!

Which of the following is a common denominator of 3/4 and 1/5
a.35
b.20
c.15
d.30

Answers

Answer:

b.20

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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x=16

Step-by-step explanation:

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Answer:

A, C, D, A, C

Step-by-step explanation:

This is one through five.

Answer:

1.

12 maths book =40 pounds

21 maths book =40×21/12=70 pounds

2.it may be 4.8 or 4.7 sorry question is not clear

3.

perimeter of trapezoid =sum of all side=12+10+19+15=56in

4.

area of trapezoid =1/2 (s1+s2)×h

=1/2 ×12(10+19)=174in²

5.

4²=16

√4=2

so 4² is 8times grater.

f(x)=5x+7 and g(x)=2x+3 find a) `(f+g)(x)` b) `(f-g)(x)`

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1

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give me brainilest

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Put the steps in order to show how to solve the equation 4y - 7 = 25

Answers

Answer:  E, A, D, C, B

Step-by-step explanation:

First, we need to get y alone. So we will add 7 to the side of the equation that has the 4y in it.

So the first one will be.

Add 7 to both sides of the equation.

Now the second one is

4y = 25 + 7  Because what you do to one side of the equation, you do to the other. So we add 7 to 25.

Then the 3rd one will be 4y = 32  because 25+7 is equal to 32. But we still have that 4y on the other side of the equation. So the next equation is 4y = 32.

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Answers

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-13x^2+8x-3

Step-by-step explanation:

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Answer:

B 95

Step-by-step explanation:

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THE ANSWER IS: 16

since N is the incenter,
ND = NE = NF

set the two equations equal to each other
solve for x
plug back x into one of the equations

How do I find the Improper fraction for
[tex]2 \frac{n}{2} [/tex]​

Answers

$2{n\over2}=2+{n\over2}={4\over2}+{n\over2}={4+n\over2}$

3a + 7 + 2(3 + a)
[tex]what \: is \: anwser[/tex]

Answers

Answer:

5a + 13

Step-by-step explanation:

3a + 7 + 2(3 + a)

3a + 7 + 6 + 2a

5a + 13

i’m almost positive it would be 5a+13
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