Mathematics High School

Two cyclists , A and B , are going on a bike ride and are meeting at an orchard . They left home at the same time . Functions A and B give their distance from the orchard , in miles , after riding for x hours . The functions are defined by these equations

Answers

Answer 1

Answer:

Cyclist A lives farther from the Orchard

Step-by-step explanation:

Given

[tex]A(x) =48.5 -21x[/tex]

[tex]B(x) =42 -16.8x[/tex]

Required:

Who lives farther from the Orchard.

To do this, we simply calculate the y intercept.

This represents the total distance traveled to get to the Orchard

To calculate y intercept, we set [tex]x = 0[/tex]

So:

[tex]A(x) =48.5 -21x[/tex]

[tex]A(0) = 48.5-21*0 =48.5-0 =48.5[/tex]

[tex]B(x) =42 -16.8x[/tex]

[tex]B(0) = 42 - 16.8*0 =42-0 =42[/tex]

From the above computation:

[tex]A(0) > B(0) \to 48.5 > 42[/tex]

Hence;

Cyclist A lives farther from the Orchard

Two Cyclists , A And B , Are Going On A Bike Ride And Are Meeting At An Orchard . They Left Home At The

Related Questions

What is the equation of an exponential function with base=2 that has a vertical stretch by a factor of 3, a shift to the right 5 and a shift up 6 ?

Answers

Answer:

[tex]y=3(2)^{x-5}+6[/tex]

Step-by-step explanation:

Let the equation of the exponential function with base 2 is,

[tex]y=a(2)^{x+c}+d[/tex]

Here, a = vertical stretch

c = Horizontal shift

d = Vertical shift

If this function has a vertical stretch by a factor of 3,

Equation will be,

[tex]y=3(2)^{x+c}+d[/tex]

If this function has a shift of 5 to the right,

Equation of the function will be,

[tex]y=3(2)^{x-5}+d[/tex]

If this function has a shift of 6 units upwards,

[tex]y=3(2)^{x-5}+6[/tex]

Peyton invested $300 into a savings account. The equation
A = 300(1.005)12t models the amount in Peyton's account A after t
years. How much will be in Peyton's account after 7 years?

Answers

Hey!
First let’s plug in 7 for t. 300(1.005)12(7), 12*7= 84
300*1.005= 301.5
301.5*84= 25,326

Peyton will have $25,326 in her account after 7 years.

A ___ is a portion of __ that has a definite length and it is located between two points.
Ray
Line
Segment

Answers

Segment is a portion of line

The correct answer is segment and line.

The following information should be considered;

A segment should be the portion of the line that contains the definite length. Also, it should be located between two points. Therefore, the ray option should be ignored.

Learn more: brainly.com/question/17429689

Find the area of each composite figure.
Round to the nearest TENTH if necessary.

Answers

Answer:

Step-by-step explanation:

split it in to two shape 3*7 and 6*2

7*3=21

6*2=12

21+12=33

answer for brainliest and 20 points

Answers

Answer:

1. 729

2. 25

3. 513

4. 343

5. 1

Step-by-step explanation:

3x3x3x3x3x3

9x9x9

81x9

729

-5 x -5

5x5

8-6=2

2x2x2x2x2=

4x4x2=

16x2=

-2x-2x-2x-2=

4x4=

32x16+1=513

7x7x7x7=

49x49=

2401

2401x2401=

5764801

7x7x7x7x7=

2401x7=

16807

5764801/16807 = 343

9-1=8

8x8x8=512

6+2=8

8x8x8=512

512/512=1

Help me pls TwT I’m really suck at school

Answers

Answer:

The answer is A.

Step-by-step explanation:

PLEASE HELP I NEED IT TO PASS THIS CLASS

Answers

Answer:

65°

Step-by-step explanation:

x + 85° = 150°

x = ( 150 - 85 )°

x = 65°

Answer:

your answer is 65°

I hope it's helps you

I need help finding what the answer for m

Answers

Answer:

7A. x = 6

7B. m∠ABC = 135°

Step-by-step explanation:

7A. I forget what the rule is called specifically, but the opposite angle is always congruent. So, you simply end up solving for x when you set the equation to equal 45.

7B. Use the supplementary rule, which basically states that two angles on a flat plane, when adjacent, equal 180°. So, 180 - 45 = 135.

God, my terminology is awful, but that's besides the point.

What is the solution of /x+ 12 - X?
a). X=-3
b) x=4
c) x=-3 or x = 4
d) no solution

Answers

Answer:

???

Step-by-step explanation:

sorry can you format it?

WHAT IS THE PERIMETER OF THE TRIANGLE

GET THIS RIGHT AND YOU GET 100 POINTS

Answers

Answer:

Step-by-step explanation:

SO im guessing if its the full graph one box counts 1.

So the top side counts 8

The left one is 15

The perimeter means adding all the sides together.

We already have 2. But finding the hypotenuse would not be easy from graph so we will use Pythagorean theorem.

a^2+b^2=c^2

8^2+15^2 = c^2

64+225 = c^2

289 = c^2

c = 17

so the perimeter is 8+15+17 = 40

What do you think the value of represents in the function? How can you predict what the graph of a quadrati function will look like knowing the value of k in a vertex form y=(x-7) *?

Answers

Answer:

Step-by-step explanation:

Parts of the question are missing.

y = a(x-h)² + k is a vertical parabola.

If a is positive, the parabola opens upwards.

If a is negative, the parabola opens downwards.

The vertex is at (h, k)

Put 560 x 106 in scientific notation.

Answers

Answer:

59360

Step-by-step explanation:

Harriet bought 3 gal. 2qt, of a paint for her living room. She used 2 gal, 3 qt. How many paint is left over?

Answers

Answer:

3 qt

Step-by-step explanation:

Let's stick to one unit to facilitate things. I'm going to use quarts as the unit.

1 gal = 4 qt

Initial value = 3 gal 2 qt = 14 qt

Change = 2 gal 3 qt = 11 qt

14 qt - 11 qt = 3 qt

A circle has a circumference of 47.1 cm and a diameter of 15 cm.

What number represents the ratio of the circumference to the diameter of this circle?

Answers

circumference/diameter= 47.1/15=3.14

Sunny's Surf Shop sold 20 surfboards last week. This week, they will sell 320 percent as many. How many surfboards will Sunny's sell this week?

Answers

Answer:

340

Step-by-step explanation:

is because they will gain profit

Answer:

the answer is 340

3.20 x 20 = 640

Step-by-step explanation:

hope this helps!

I don’t get this Please help

Answers

Answer:

The second one! -5.99%

Step-by-step explanation:

(Find the distance between the points A(4, 3) and B(7,-1).

Answers

The answer to this problem is 5.

Solve. 2(2z + 5) = 50

Answers

Answer:

z = 10

Step-by-step explanation:

Distribute 2 to the terms in the parentheses:

2(2z + 5) = 50

4z + 10 = 50

Subtract 10 from both sides

4z = 40

Divide each side by 4

z = 10

So, the answer is z = 10

Answer:

Step-by-step explanation:

1. Factorize left side.

2*2z+2*5=50

4z+10=50

2. Subtract 10 from both sides

4z=50-10

4z=40

3. Divide both sides by 4

z=40/4

z=10

Please solve the equation

Answers

Answer: x=15/2

Step-by-step explanation: Divide both sides by 4 so 64/4 Simplify 64/4 to 16. 2x=16−1 2x=15 Divide both sides by 2 x=

15/2

HOPED THIS HELPED :))

what is the image of (-4,-2) after a reflection over the y=-x

Answers

Answer:

(2,4)

Step-by-step explanation:

because the coordinates change places and signs

Answer:

(- 4, - 2 )

Step-by-step explanation:

I need help and if you can explain it would help alot!
what is the measure of m 8 and 4
(find m)

Answers

The answer if kind of good but it is messed up because let’s think together if we can find M how

BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

Skewed Left

Step-by-step explanation:

The volume of a rectangular prism is 473.2 cubic millimeters. If the length is 7 millimeters and the width is 10.4 millimeters, what is the height of the rectangular prism?

Answers

Answer:

Step-by-step explanation:

it is

The diagram shows a right-angled triangle.
hcm
37°
15 cm
What is the value of h?
Give your answer correct to 1 decimal place.

Answers

answer

11.3 cm

steps

what is h cm to angle 37°=it is an opposite side

what is 15 cm to angle 37°=it is an adjecent side

opposite and adjecent form a tan

.°. opp/adj = tan(37°)

h/15 = tan(37°)

h = 11.3 cm

Which data set could be represented by the box plot shown below?
I will mark brainliest!

Answers

Answer:

0,1,2,3,4,5,6,7,8,9,10,11

Step-by-step explanation:

starts at 0 and ends at 11

(i think)

p is an odd number.
Explain why p^2 +1 is always even number

Answers

Answer:

every odd number that squares up and add 2 will give an even answer

Answer:

see explanation

Step-by-step explanation:

Given that p is an odd number , then

p² is always an odd number

Adding 1 to an odd number gives an even number.

So p² + 1 is always even for p odd

you have a photo of a tool shed. in the picture the shed measures 2 inches wide and 1.3 inches tall. if the shed is actually 9 feet tall, how wide is the shed?

Answers

Answer:

70 1/5 inches or 70.2

Step-by-step explanation:

9x12 is 108 inches

108 divided by 2 is 54 inches

1 inch for every 54 inches

1.3x 54 is 70.2

Tell weather the function is linear or non-linear.

Answers

Answer:

non-linear i'm pretty sure

Step-by-step explanation:

it is non linear i think

Which statement is true?
Question 19 options:

A)

|–3| = 3 and –|–4| = –4

B)

|–3| = 3 and –|4| = 4

C)

–|3| = 3 and |4| = 4

D)

|–3| = 3 and |–4| = –4

Answers

Answer:

the first one is true and not sure 100% that the others are false all

20 POINTS!!! Giving Brainliest
This figure consists of a rectangle and semicircle.

What is the area of this figure?

Use 3.14 for π.

Enter your answer as a decimal in the box.

Use 3.14 for pi.

Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.

Answers

Answer:

Im not sure if my asnwer is right but i got 38.13

Step-by-step explanation:

Our formula is pi×r×2÷2+L+W

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