Steve and Brian are both avid bicyclists. Each week, Steve rides for a total of 2x hours at an average speed of x miles per hour.
sBrian rides 6 more hours a week than Steve, but at an average speed that is 4 miles per hour less than Steve's average speed.
Which of the following functions will give the total distance that Brian rides each week, in miles?

Answers

Answer 1

Answer:

m(x) = 2x^2 - 2x - 24

Step-by-step explanation:

We will use the speed formula for this.

d/t = s

d is distance

t is time

s is speed

since we are looking for a function that gives the distance, we must rewrite

the equation to have d on one side of the equation by itself. We will do this by multiplying both sides by t.

(d/t)t = (s)t

which simplifies to:

d = st

Now we must find out what s and t are.

t: Steve's time riding is 2x hours, and Brian's is 6 more hours, so

Brian's time riding is 2x + 6.

so t = 2x + 6.

s: Steve's speed is x mph. Brian's is 4 less than that so

s = x - 4.

Now we can plug in what we know the the formula we made: d=st

d = (2x + 6)(x-4)

now we can FOIL.

(2x)(x)= 2x^2

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

(6)(x) = 6x

(6)(-4) = -24

d = 2x^2 - 8x + 6x - 24

simplify:

Answer: d = 2x^2 -2x - 24

p.s. This was my first time answering a question on Brainly, sorry if it

was not explained well. Let me know if you have questions.


Related Questions

x² = 35
show your work

Answers

Answer:

x=±√35

Step-by-step explanation:

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x=±√35

The complete solution is the result of both the positive and negative portions of the solution.

What is the equation of function g

Answers

Answer:

i needed points to ak a question

Step-by-step explanation:

if the temperature is 50 degrees Fahrenheit what is the temperature in celsius

Answers

Answer:

10.00 °C

Step-by-step explanation:

Answer:

50 degrees Fahrenheit is 10 degrees Celsius

Step-by-step explanation:

(50°F − 32) × 5/9 = 10°C

What 100000654 divided by 89765

Answers

Answer:

1114.027

Step-by-step explanation:

If m27 = 55°, which of the following statements are true? Select all that apply.
2
3
4
5/6
8
A m26 = 55°
B
m25 = 135°
Cm21 + 24 = 250°
Dm21 + m26 = m 27+ m24

Answers

Answer:

2, 3 , 5/6, b

Step-by-step explanation:

Which equation correctly applies the distributive property?


​−2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045​

​50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)​

​−1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57​

​(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)

Answers

Answer:

the last one

Step-by-step explanation:

In the last one, it takes all of the numbers in the one parentheses and distributes it to the 0.5.

Look at the picture. (sorry for the messy writing)

Answer:

last one

Step-by-step explanation: i did the quiz

Donner un encadrement d’amplitude 10^-p des réels donner, l’entier p étant précisée pour chaque cas

Answers

I do not understand because it’s not in English
what is this i really don’t get anything

how do you find the LCM??

Answers

Look at the multiples of the two numbers and find the lowest one that matches e.g.

7 = 7, 14, 21, 28

4= 4, 8, 12, 16, 20, 24, 28

28 is the LCM of 7 and 4

Answer:

Step-by-step explanation:

one away to find to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number . if the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

This is IXL plz help !!

Answers

Answer:

A = 3.14

Step-by-step explanation:

Your equation is πR²

so 3.14(1²)

Which gives you 3.14

Answer:

A=3.14 square meters

Step-by-step explanation:

Use the equation A=3.14*r^2.

Sub in the numbers you know so 1.

A=3.14*1^2

Simplify.

A=3.14 square meters

Chloe has 18inches of red licorice.Reid has 6inchex of red licorice. what fraction of a yard of red licorice do Chloe and Reid have together. use numbers pictures or Words to show your thinking​

Answers

Answer:

2/3

Step-by-step explanation:

Chloe = 18inches of red licorice.

Reid = 6inches of red licorice

Total = 18 inches + 6 inches

= 24 inches

what fraction of a yard of red licorice do Chloe and Reid have together

Chloe and Reid have 24 inches altogether

1 yard = 36 inches

Fraction = 24 inches / 36 inches

= 2/3


[tex] |3x - 6| + 3 < 15[/tex]
Solve each inequality. Graph the solution.​

Answers

i can’t graph it, but this is how you would simplify it:

|3x-6|+3<15
(subtracting is really adding a negative):
|3x+-6|+3<15
(absolute value makes it all positive):
3x+6+3<15

3x+9<15 should be the answer, but if it were to act as a ratio this would be the answer:

x+3<5

NEEDDDD HELP WILL MARK BRAINLIEST

Answers

Answer:

d hopes this helps'

Step-by-step explanation:

Answer:

A (the first one)

Step-by-step explanation:

what is the distance between the points (0,-1) and (8,7)

Answers

[tex]Distance=\sqrt{(x_{2}-x_{1})^2(y_{2}-y_{1} )^2} \\\\\sqrt{(8-0)^2(7-(-1) )^2}\\\\\sqrt{8^2+8^2} \\\\\sqrt{64+64}\\\\ \sqrt{128} =8\sqrt{2} \\\\[/tex]

Answer:

11.3

Step-by-step explanation:

11.3

A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?

Answers

Answer: 19.26

Step-by-step explanation: 7% is $1.26, so just add 1.26 and 18.

Answer:

19.36 dollars is the answer

Step-by-step explanation:

a=4, b=2 and c=-3
who wanna tell me the answer lol my Photomath won’t tell me

Answers

Answer:

-23

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

Just plug in the values of the variables into the expression. You'll get -4(10)/2 - 3. That equals -20 - 3, or -23.

3a+4b=5a-t Solve for a PLS help!!

Answers

Answer:

a= -t-4b/-2

Step-by-step explanation:

Answer:

(4b+t)/2=a

Step-by-step explanation:

3a+4b=5a-t

3a+4b+t=5a

4b+t=2a

(4b+t)/2=a

pls help ill give brainliest to first answer

Answers

Answer:

bahahahhahahahahahah hello

hi i just need to answer 2 questions so i can ask something again

What are the solutions of this quadratic equation?
X2– 6x= – 58

Answers

Answer:

Solve the rational equation by combining expressions and isolating the variable

X

.

X

=

2

(

3

x

29

)

X

=

2

(

3

x

29

)

Step-by-step explanation:

Answer:

No real Solutions

Step-by-step explanation:

Step one: The coefficient on -6x is -6. So b= -6

Step two: Add (b/2)^2 to each side. in our case it is 9

x^2-6x+9= -49

Step three: Factor left side

(x-3)^2 = -49

Step four: take the square root

x-3 = ±√-49

Step five: add 3 to both sides

x = 3 ± √-49

So there is no real solutions

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8.50. The auditorium can hold at most 79 people. The drama club must make no less than $460 from ticket sales to cover the show's costs. If 53 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses. If there are no possible solutions, submit an empty answer.

Answers

Answer:

There is no way.

Step-by-step explanation:

4 x 53 = 212.

460 - 212 = 248.

The mininmum adult tickets you would need is 29 but that would go over the capacity

How many hours are in 17 years? Write your answer in scientific notations with 3 sig figs.

Sig figs are: are the number of digits in a value, often a measurement, that contributes to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.

Answers

Answer:

1.49 x [tex]10^{5}[/tex] hours

Step-by-step explanation:

1 day=24hours

1 year=365 days

365days=24 x 365=8760hours

17 years

= 8760hours x 17

=148920hours

=1.4892 x [tex]10^{5}[/tex]

= 1.49 x [tex]10^{5}[/tex] hours

Answer:

1.49 x  hours

Step-by-step explanation:

1 day=24hours

1 year=365 days

365days=24 x 365=8760hours

17 years

= 8760hours x 17

=148920hours

=1.4892 x

= 1.49 x  hours

You start at (10, 1). You move down 1 unit and left 7 units. Where do you end?

Answers

Translation in right or left causes the x coordinate to change while translation in up or down causes the y coordinate to change.

Moving left or down causes the coordinates to be going negative.

Moving right or up causes the coordinates to be positive.

Original point (10, 1).

Down 1 unit:

(10, 1 - 1) = (10, 0)

Left 7 units:

(10 - 7, 0) = (3, 0)

You end at (3, 0)

The graph of a quadratic function, y=x?. is reflected over the x-axis. Which of the following is the equation of the
transformed graph?

Answers

Answer:

x = -y

or

-y = x

Step-by-step explanation:

since you reflect it over the x axis, the y changes to a negative

Answer:

its A on edgy

Step-by-step explanation:

What is the definition of liquidity?
ERRE
how difficult it is to maximize returns on investments
how much money someone has in a savings account
how easily an investment can be exchanged for cash
how much income someone has to invest each year

Answers

Answer: The answer is the third option (How easily an investment can be exchanged for cash)

Step-by-step explanation: I got 100% on this quiz on Edge, I’m 3 weeks late to answering this, but I hope It helps somebody :)

Answer:

C. How easily an investment can be exchanged for cash.

Step-by-step explanation:

2540 centimeters are equal to how many inches ?​

Answers

Answer:1000

Step-by-step explanation

There are 1000 inches equal to 2540 centimeters

Unit conversion can be defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

To convert centimeters to inches, we have to use the conversion factor 1 inch = 2.54 cm.

To determine how many inches are in 2540 cm, first we divide 2540 by 2.54:

2540 cm ÷ 2.54 = 1000 inches

Therefore, we can conclude that 2540 centimeters are equal to 1000 inches.

Learn more about the unit conversion here:

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USE FOR MASTERY Number of attempts allowed: 1 Write two rational numbers a/b and c/d, where a, b, c, and d are the digits 2, 3, 4, or 5, such that no digit can be used more than once and that the two rational numbers are the greatest distance apart on the number line. Explain how you got this answer.

Answers

Answer:

We want to craft:

a/b and c/d

where a, b, c and d can be 2, 3, 4 and 5.

Such that the distance in the number line between these two numbers is maximized.

Then we want one number to be really small, and the other to be really large.

Remember two things:

for numbers like a/b.

if a is smaller than b, then a/b is smaller than 1.

Now, if a is larger than b, then a/b is larger than 1.

And two things,

1/10 = 0.1

10/1 = 10

So when the numerator is larger, the distance displaced in the number line is larger.

Then we want to have:

a number where the numerator is the largest option and the denominator is the smallest option:

a/b = 5/2

And the two remaining options in such way that the numerator is smaller than the denominator:

c/d = 3/4.

The distance between these two numbers is:

D = 5/2 - 3/4 = 10/4 - 3/4 = 7/4.

Avery and Carmen both have summer jobs Avery gets paid $360 every four weeks, and gets paid $480 every six weeks summer break lasts a total of 12 weeks who earn more money during summer break every earns dollars per week Carmen earns dollars per week

Answers

Answer:

Avery earns $1,080 during summer

Avery weekly earnings = $1,080 / 12

= $90

Carmen earns $960 during summer

Carmen weekly earnings = $960/12

= $80

Carmen earns more money during summer break

Step-by-step explanation:

Avery payment = $360 every four weeks

Carmen payment = $480 every six weeks

summer break lasts a total of 12 weeks

Avery pay during summer = Total summer break weeks / 4 weeks × payment per 4 weeks

= 12 / 4 × $360

= 3 × $360

= $1,080

Carmen pay during summer = Total summer break weeks / 6 weeks × payment per 6 weeks

= 12 / 6 × $480

= 2 × $480

= $960

Avery earns $1,080 during summer

Avery weekly earnings = $1,080 / 12

= $90

Carmen earns $960 during summer

Carmen weekly earnings = $960/12

= $80

Carmen earns more money during summer break

Answer:

Step-by-step explanation:

Avery earns $1080 in 12 weeks

Carmen earns $960 in 12 weeks

The lines AB and CD are perpendicular to each other. If the slope of line AB is 2/3 then what is the slope of line CD​

Answers

Answer:

-3/2

Step-by-step explanation:

you can find the perpendicular slope by putting the slope in 1/-m. M is the current slope you have or really you can flip it and change the signs so for example, 1/-(2/3) = -3/2

The slope of line CD​ is = -3/2

What are Perpendicular lines?

A perpendicular is a straight line that makes an angle of 90° with another line.

Given that the lines AB and CD are perpendicular to each other, the slope of line AB is 2/3.

Slope of perpendicular lines are negative reciprocal of each other, so,

Hence, The slope of line CD​ is = -3/2

For more references on Perpendicular lines, click;

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How would I do this using Volume and units. I will mark Brainiest

Answers

Answer:

Sphere:

V=[tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]V≈523.6 [tex]cm^{3}[/tex]

Cone:

V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]V≈41.89 [tex]cm^{3}[/tex]

Write two numbers that multiply to the value on top and add to the value on bottom.
-72
Х
o
+
1

Answers

Answer: -8 and 9
Explanation: -8 x 9 = -72 and -8 + 9 = 1

Fill in the table with the rule y = 2x-2 X: -3, -2, -1, 0, 1, 2, 3, 4 Y: _, _, _, _, _, _, _, _.​

Answers

Answer:

-8, -6, -4, -2, 0, 2, 4, 6

Step-by-step explanation:

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