On a highway, you take 3 seconds to increase your speed from 32 to 35 miles per hour. Your speed increases the same amount each second. The speed limit is 65 miles per hour. What is the domain of the function?

Answers

Answer 1

Answer:

1 to 30 seconds

Step-by-step explanation:

3 seconds increases your speed from 32 to 35 miles per hour

Hence 3 seconds = 3 miles per hour(35-32 miles)

1 second = 1 mile

The function for the increase per mile is therefore:

f(x)= 1x

Where x is number of seconds travelled on the highway

The domain of a function are the possible input values for x. Since the speed limit on the highway is 65 miles, the input values for x cannot be more than 30 seconds(current speed is 35 miles per hour, 65-35=30)


Related Questions

2) Pranavi can hike 4 mile in 7% minutes. How long would it take her to hike
a mile?

Answers

To calculate this, we need to divide 7 minutes by 4 miles to see how long it takes her to hike 1 mile.
7/4 = 1.75 minutes/ mile
= 1 minute and 75 seconds = 2 minutes and 15 seconds.
Glad I could help and have a fantastic day!
Also, can you please mark my answer as the brainliest answer?
Thanks.

Matt says that 5 − 1 1/4 will be more than 4, since 5 – 1 is 4. Is Matt correct? Explain your answer. please and do step by step

Answers

Answer:

No

explanation:

You are subtracting one and some more, so its going to be less than 4

Which graph represents the solution set of the inequality 3x + 2y < 4?

Answers

Answer:

the answer is B any questions

Please help and show workings

Answers

Given:

In an isosceles triangle,

One base angle = (4x-15)°

Vertex angle = 95°

To find:

The value of x.

Solution:

Let the triangle be ABC.

We have,

[tex]m\angle A=95^\circ[/tex]

[tex]m\angle C=(4x-15)^\circ[/tex]

Since ABC is an isosceles triangle and AB=AC, therefore, the base angles are equal.

[tex]m\angle B=m\angle C=(4x-15)^\circ[/tex]

Using angle sum property of triangles, we get

[tex]m\angle A+m\angle B+\angle C=180^\circ[/tex]

[tex]95^\circ+(4x-15)^\circ+(4x-15)^\circ=180^\circ[/tex]

[tex](8x+65)^\circ=180^\circ[/tex]

[tex](8x+65)=180[/tex]

On further simplification, we get

[tex]8x=180-65[/tex]

[tex]8x=115[/tex]

[tex]x=\dfrac{115}{8}[/tex]

[tex]x=14.375[/tex]

Therefore, the value of x is 14.375.

1. Elena takes two triangles off of the left side and three
triangles off of the right side. Will the hanger still be
in balance, or will it tip to one side? Which side?
Explain how you know.

Answers

Answer:

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the sum of these numbers.
3186 + 957 =
Please Help!

Answers

Answer: 3186 + 957 = 4143

What is 10 percent of 44

Answers

Answer:

4.4

Step-by-step explanation:

10% of 44 is 4.4

Answer:

4.4

Step-by-step explanation:

Solve the system using elimination.

−3 − 2 = −4

9 + 3 = 15

Answers

Answer:

1) −5≠−4

False

2) 12≠15

False

Step-by-step explanation: I guess this is what you looking for, hope this help

Answer:

2 is true because I solved it

Given: AD || BC and AD ≅ BC
Prove: AB || CD

Answers

Answer:

Statement 1: it is a parallelogram

Reason 1: if one pair of sides of a quadrilateral are parallel and congruent sides, then it is a parallelogram.

Statement 2: AB is parallel to CD

Reason 2: in a parallelogram opposite sides are parallel.

QED

what is the value of x?

Answers

x= -27
i put the work in a picture

Answer:The answer is X=-27 I am very sure

Step-by-step explanation:

can anyone answer this question

Answers

What website are you doing school on? I had this same question but apparently it’s different for different websites

plsss helppp
WILL GIVE BRAINLIEST

Answers

Answer:

I thinks it's point 2 and if it's wrong I am sorry for that

2, Pls give me brainlyiest!!

the ratio of girls to boys in Kevin's class is 2 to 3. If there are 10 girls, how many boys are there?

Answers

Answer:

there are 15 boys in kelvin's class

Step-by-step explanation:

Solve for Z

(This should be another easy question, + there are answers you can choose from)

Answers

Answer:

Z = 6

Step-by-step explanation:

Z/12 = Cos(60°)

Z/12 = 1/2

The answer is Z=6 hope I helped

Simplify: -4(2 - 8x)

Answers

Answer:

32 − 8

Step-by-step explanation:

1. Rearrange terms

− 4 (2 − 8)

− 4 (− 8 + 2)

2. Distribute

− 4 (− 8 + 2)

32x - 8

2/3 × 4/7 help mee!!!!!!!

Answers

Answer:

0.38095238095

Step-by-step explanation:

Answer:

8/21

Step-by-step explanation:

HELP ON ME-I NOT GET THIS PROMBLE PLEASE

Answers

Answer:

Step-by-step explanation:

For number 2 first thing you do is take (3,3)

                                                                ( -3,7)

And y1-y2

        x1-x2

the equation would be y= -2/3 x + 5

I can't really see the other point for number 3                        

Find the value of x and y

Answers

Answer:

x = 8

y = 29

Step-by-step explanation:

By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.

Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.

Hence one can say that;

4x + 17 = y + 20

Inverse operations;

4x + 17 = y + 20

     -17          -17

4x = y + 3

-3      -3

4x - 3 = y

Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.

When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words,  the same measure.

Based on that, one can say;

5x + 9 = y + 20

Earlier it was found that;

y = 4x - 3

Now substitute that into the previous equation, and solve using simplification and inverse operations;

5x + 9 = 4x - 3 + 20

5x + 9 = 4x + 17

     -9          -9

5x = 4x + 8

-4x   -4x

x = 8

Back solve to find y

y = 4x - 3

y = 4(8) - 3

y = 32 - 3

y = 29

Rewrite using a single positive exponent.
78
73

Answers

Hey! I don’t know if this is what you mean.. but I tried to understand it.

78^1
73^1

Have a good day :)

lee spent $26.85 for 3 yards of material what was the cost of 9 yards?

Answers

Answer:

$80.55

Step-by-step explanation:

Answer: $80.55

Step-by-step explanation:

First way:

3 yards cost $26.85

1 yard will cost $26.85 ÷ 3

26.85 ÷ 3 = 8.95

1 yard costs $8.95

9 yard will cost $8.95 × 9

8.95 × 9 = 80.55

9 yards cost $80.55

Second way:

3 yards cost $26.85

9 yards will cost $26.85 × 3

26.85 × 3 = 80.55

9 yards cost $80.55

Hope this helped!

HELP PLS

Find the solution of this system of equations
8x - 4y = -32
- 3x + 4y = 42

Answers

Answer:

(2,12) or x = 2 y = 12

this is correct trust

-3x+6<27?

Solving Linear Inequalities.

Answers

While solving, you can treat inequalities the exact same as you would treat equations.  Pretend the inequality sign is an equals sign.  Now solve for x.

-3x + 6 < 27

-3x < 21

3x < -21

x < -7

As an estimation we are told 5 miles is 8 km.
Convert 70 miles to km.
km

Answers

Answer:  112 km

=====================================================

Work Shown:

(5 miles)/(8 km) = (70 miles)/(x km)

5/8 = 70/x

5*x = 8*70 ... cross multiply

5x = 560

x = 560/5 .... divide both sides by 5

x = 112

According to the given estimation, 70 miles converts to 112 km.

The more accurate conversion is approximately 70 miles = 112.65408 km, so this estimation isn't too far off.

Given 2X + 4Y = 13 and 3X + Y = 2, what is the value of X?

Answers

Answer:

x = -1/2

Step-by-step explanation:

2x + 4y = 13

3x + y = 2    (you can multiply this equation by -4 in order to eliminate the y-term)

-4(3x + y = 2)  =  -12x - 4y = -8

                        +  2x + 4y = 13

-10x = 5

x = -5/10 or -1/2

x(-1/2) + 4y = 13

-1 + 4y = 13

4y = 14

y = 14/4 or 7/2 or 3 1/2

What is the value of z?

Answers

Answer:

Step-by-step explanation:

Item 1:

Discount = Original price - discount price

             = 22.50 - 13.50

             = $ 9

Discount percentage = [tex]\frac{9}{22.50}*100\\\\[/tex]

                                   = 40%

Discount percentage = 40%

Tax = 14.31 - 13.50 = $0.81

Tax% = [tex]\frac{0.81}{13.50}*100\\\\[/tex]  = 6%

Tax percentage = 6%

Item 2:

Tax = 6% of 16.20

      = 0.06 * 16.20

      = 0.972

Tax = $ 0.97

Total price (including tax )= 16.20 + 0.97 = $ 17.17

         x = $ 17.17

Item 3:

Discount  = 40% of 32.50

                        = 0.4 * 32.50

                        = $ 13

y =  32.50 -13

y = $ 19. 50

Tax = 6% of 19.50

       = 0.06 * 19.50

       = 1.17

z = 1.17 + 19.50

Z  =$ 20.67

                   

x^3 - x^2 + x / x^3 + 1 simplified

Answers

I think it’s x+1x^3... not sure if this helps

The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair $7, 100 is collected. How many adults and how many children were in the fair.

Answers

Answer:

580 children

420 adult

Step-by-step explanation:

y=1000 -x

-5x+10000=7100

-5x=-2900

x=580

1000-580=420 y=420

Which of the following below is a function?

Answers

Answer:

i don't know sorry

Step-by-step explanation:

What is the equation of the line that passes through the point (5,−2) and has a slope of -2/5

Answers

Answer:

y= -(2/5)x

Step-by-step explanation:

When you graph this line you can see it clearly passes through the point (5,-2)

Answer:

y + 2 = -2/5 (x - 5)

OR

y = (-2/5)x

Step-by-step explanation:

There are many ways you can find the equation.

There are two main ones, one called point-slope form, and the other called slope intercept form.

Point-slope form is easy. All you need a a point on the line, and the slope! Since they give you that in the question, all you need to do is plug things in.

Point slope form is y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

x and y are any points. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that the problem gives you. m is the slope.

The equation would be y + 2 = -2/5 (x - 5).

Slope intercept form is a bit harder. You need a point and the y-intercept.

Since you already have the slope, all you need to find is the y-intercept.

Slope intercept form is y = mx + b

x and y are the given points. m is the slope, and b is the y-intercept.

The y intercept is when the x value of a point is 0.

To find b, you can plug in the information you have, which is the point and the slope.

y = mx + b

-2 = (-2/5)(5) +b

-2 = -2 +b

b = 0

Since b is 0, the equation would just be y = (-2/5)x.

Solve for x. Round to the nearest tenth if necessary (will give brainliest please help!!!)

Answers

Answer:

41,1 I installed the solution. good work

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