PLEASE HELP!!!!!!!!!





A car manufacturer does performance tests on its cars. During one test, a car starts from rest, and accelerates at a constant rate for 20 seconds. Another car starts from rest three seconds later, and accelerates at a faster constant rate. The equation that models the distance (d) in metres the first car travel travels is: d=1.16t^2, where t is time, in seconds, after the car starts. The equation for the second car is: d= 1.74(t-3)^2


a. In the context, what is a suitable domain for the graph of this system?


b. At what time will both cars have driven the same distance?


c. How far will they have driven at this time?

Answers

Answer 1

Answer:

15.66

Step-by-step explanation:


Related Questions

Given that h(x) = 5-2x, find the value(s) of x when h(x) =3​

Answers

Answer:

x=1

Step-by-step explanation:

We have,

h(x) = 5-2x

h(x)=3

Now,

h(x)=5-2x=3

or,5-2x=3

or,5-3=2x

or,2/2=x

Therefore, x=1 when h(x)=3

Answer:

x = 1

Step-by-step explanation:

h(x) = 3

5 - 2x = 3

2x = 2

x = 1

HELPPP PLZZZZ DUE SOONnnn

Answers

Answer:

x = 7, EF = 10, FG = 12

Step-by-step explanation:

EF = 4x - 18

FG = 3x - 9

EG = 22

EG = 22

EF + FG = 22

4x - 18 + 3x - 9 = 22

4x + 3x - 18 - 9 = 22

7x = 22 + 18 + 9

7x = 49

x = 7

EF = 4x - 18

EF = 4*7 - 18

EF = 28 - 18

EF = 10

FG = 3x - 9

FG = 3*7 - 9

FG = 21 - 9

FG = 12

Write an equation of the line that passes through the given point and is perpendicular to the given line.
(–6, –4); y = 1/3x + 1
Group of answer choices

y = -1/3x + 1

y =1/3x – 22

y = -3x + 14

y = -3x – 22

Answers

Answer:

y = - 3x - 22

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 1 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (- 6, - 4) into the partial equation

- 4 = 18 + c ⇒ c = - 4 - 18 = - 22

y = - 3x - 22 ← equation of perpendicular line

The 5. one please 100 points

Answers

Answer:

Ok so 5 and tens least common denominator is 10. So 6/10- 2/10 (1/5×2=2/10)= 4/10. so now take 4/10 and 1/4 and find the lcm Which is 20 so 4/10×2 is 8/20+10/20=

18/20

[tex]\\ \sf\longmapsto \dfrac{6}{10}-\dfrac{1}{5}+\dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2-4+5}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-2+5}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{20}[/tex]

10 MINUTES!
What is the base of the exponent in the function f (x) = 3 (RootIndex 3 StartRoot 8 EndRoot) Superscript 2 x when the function is written using only rational numbers and is in simplest form?

Answers

Answer:

3

Step-by-step explanation:

The base of 3^(2x) is 3.

Write the following surds in exponential form square root of 2

Answers

Answer:

[tex] {2}^{1 \div 2[/tex]

calculate the square of 31​

Answers

Square of 31 is:
31^2
=31×31
=961

Answer:

square of 31 is 961

Step-by-step explanation:

31^2

31×31

=961

is the expression 5x-2+3x in simplest form? Explain

Answers

Answer:

No

Step-by-step explanation:

It can still be 8x - 2

first of all you collect like terms

5x + 3x - 2

= 8x -2

5x-2+3x
5x+3x=2
8x=2
x= 2/-8
x=1/-4 now the answer is in the simplest form

Find the measure of the third angle of a triangle if the measures of the other two angles are given.
35.5 and 82.6
A. 66.8
B. 58.4
C. 61.9
D. 31.9

Answers

9514 1404 393

Answer:

  C.  61.9°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so the third angle is ...

  180° -35.5° -82.6° = 61.9°

help asap
Find the area of the circle.
Use 3.14 for n. Do not round your
answer.
Area = [?] inches
11 inches
Enter the number that
belongs in the green box.

Answers

Answer:

A = 94.985

Step-by-step explanation:

Formila for area of a circle is A = pi * radius²

Just plug in your numbers for: A = 3.14 * 5.5²

The radius is 5.5 because the diameter is 11

A = 94.985

Javier works at a print shop. He starts printing at 8:00 a.m. The number of printed brochures is a linear function of the number of minutes since Javier started printing. By 8:50 a.m. he had printed 240 brochures, and by 9:00 a.m. he had printed 288. Write an equation in the form y = mx + b that represents the number of brochures, y, that were printed after x minutes.

Answers

Answer:

y = 4.8(x) + 0

Step-by-step explanation:

In this question, Javier managed to print 240 brochures in 50minutes from 8:00 to 8:50. If we divide these values we see that he printed 4.8 brochures per minute. The same result is given for the 10 minutes from 8:50 to 9:00 where he printed 48 brochures. Therefore, we can get the following linear formula from these values.

y = 4.8(x) + 0

In this case, b would equal 0 because Javier is starting from 0 brochures made when he gets to work at 8:00 a.m

if x +2y=1 and x-y=2 find the value of 2y + x ​

Answers

Answer:

1

Step-by-step explanation:

x +2y=1

2y+x  will equal 1

What do you notice about the absolute value of the
difference between the two numbers of -5 and -1

Answers

They are 4 units away on a number line.

What is 4,327 rounded to the nearest thousand?

Answers

Answer: 4,000

Step-by-step explanation: To round 4,327 to the nearest thousand, we first find the digit in the rounding place, which in this case is the 4 in the thousands place. Next, we look at the digit to the right of the 4, which is 3.

According to the rules of rounding, since the digit to

the right of the rounding place is less than 5, we round down.

So the 4 in the rounding place stays the same

and all digits to the right of the 4 become 0.

So 4,327 rounded to the nearest thousand is 4,000.

You work for a roofing company and must order the correct number of tiles to complete the final side of the roof. It is in the shape of a trapezoid. The numbers of tiles in each row form a sequence. We know we will have 20 rows to complete the job. The first row has ten tiles. Each row has two more tiles than the previous row. Is this sequence arithmetic or geometric?

Answers

Answer:

ljj

Step-by-step explanation:

llk

Yes , the series is an arithmetic sequence of common difference 2

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the number of terms n = 20

The number of tiles in the first row = 10 tiles

The number of tiles in the second row = 2 more than first row

The number of tiles in the second row = 12 tiles

The number of tiles in the third row = 14 tiles

So , the sequence will be , 10 , 12 , 14 , 16 ...

The number of terms n = 20

The first term a = 10

The common difference d = second term - first term

The common difference d = 12 - 10 = 2

The series is an arithmetic sequence and the 20th term of the sequence will be

a₂₀ = a + ( n - 1 )d

a₂₀ = 10 + ( 19 ) 2

a₂₀ = 10 + 38

a₂₀ = 48 tiles

Hence , the series is an arithmetic sequence

To learn more about arithmetic progression click :

https://brainly.com/question/1522572

#SPJ5

how many metres of wire is needed to fence a circular pond of radius 7.7m if the fence is to have three strands of wire all the way around .Give your answer correct to one decimal place. (Take pi is 3.14)​

Answers

Find the circumference of the pond:

Circumference = 2 x pi x radius

Circumference = 2 x 3.14 x 7.7 = 48.356 m

You want to go around 3 times so multiply the circumference by 3:

48.356 x 3 = 145.068m

Rounded to 1 decimal = 145.1m

Make a histogram, using a bin width of ten, to display the bowling scores for these 31 players: 87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75, 103, 112, 97, 73, 85, 91, 86, 102, 99, 106, 84, 98, 83, 81, 96, 92.

Answers

Step-by-step explanation:

Using R, I used the following code to create a histogram:

bowling.scores <- c(87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75,  

                   103, 112, 97, 73, 85, 91, 86, 102, 99, 106, 84, 98, 83, 81, 96, 92)

data.frame(bowling.scores)

ggplot(data.frame(bowling.scores), aes(x=bowling.scores)) +  

 xlim(c(70, 120)) +

 scale_y_continuous(breaks = seq(0, 10, by=1), "Frequency") +

 geom_histogram(breaks=seq(70, 120, by=10), color="black", fill="grey60") +

 labs(title="Histogram of Bowling Scores", x="Bowling Scores", y="Frequency")

Determine if the expression -5y^5-y^3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

Answers

Answer:

Yes, it is a polynomial, and the degree is 5

Step-by-step explanation:

A polynomial is a combination of terms separated using + or − signs and normally have exponents. So, this equation is a polynomial. The degree is just the highest exponential value, which is 5 because -5y is being raised to the 5th power

The sampling distribution of a statistic _________. Group of answer choices gives all the values a statistic can take gives the probability of getting each value of a statistic under the assumption it had resulted due to chance alone is a probability distribution all of the options

Answers

Answer:

all of the options

Step-by-step explanation:

A sampling distribution is a probability distribution, gives the probability of getting each value and all values a statics can take. It is arrived out through a repeated sampling form of a large population. It truly exists as a population.

Dave solved a quadratic equation. His work is shown below, with Step 111 missing. What could Dave have written as the result from Step 111? \begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned} 3 1 ​ (x+4) 2 x+4 x=−16 ​ =48 =±12 or x=8 ​ Step 1 Step 2 Step 3 ​ Dave solved a quadratic equation. His work is shown below, with Step 111 missing. What could Dave have written as the result from Step 111? \begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned} 3 1 ​ (x+4) 2 x+4 x=−16 ​ =48 =±12 or x=8 ​ Step 1 Step 2 Step 3 ​

Answers

From the calculation above, Dave may have jumped the expression

[tex](x+4)^2= 144[/tex]

Given the expression solved by Dave from step 1 as;

[tex]\dfrac{1}{3}(x+4)^2&=48[/tex]

In order to determine what Dave would have written, we will solve the expression above as shown

[tex]\dfrac{1}{3}(x+4)^2&=48\\(x+4)^2 = 3*48\\(x+4)^2 = 144 ..............eqn \ 2\\[/tex]

Take the square root of both sides

[tex]\sqrt{(x+4)^2} =\pm\sqrt{144}\\x+4=\pm12[/tex]

Hence from the calculation above, Dave may have jumped the expression in equation 2 as shown below;

[tex](x+4)^2= 144[/tex]

Learn more on radical equations here: https://brainly.com/question/20931859

Answer:

previous answer is correct

Step-by-step explanation:

Louis bought 16 cookies at the bakery. He had a
coupon for $7 off his entire purchase. He ended up
paying $13.32. Write an equation to find how much
each cookie originally cost.

Answers

Answer:

16x -7 =$13.32

Step-by-step explanation:

$13.32 + $7 = $20.32

$20.32 divided by 16 = $1.27

each cookie cost $1.27

I really hope this help

Answer:- 16x - 7 = 13.32

Also cost of each cookie = $1.27

Explanation:

Let the cost of each cookies be x

ATQ

16x -7 = 13.32

We will mutiply x with 16 because he purchased 16 cookies.

Also he had coupon of $7 which means $7 off which is why -7

And 13.32 is the amount he paid

Now lets solve it

16x - 7 = 13.32

16x = 13.32 + 7

16x = 20.32

x = 20.32/16

x = 1.27

Therefore cost of each cookie is $1.27

please click thanks and mark brainliest if you like :)

 A study found that healthy eating can help to cut the risk of heart disease. Therefore, a person can conclude that if they eat healthy they definitely will not have any heart issues.

True or false?

Answers

Answer:

False

Step-by-step explanation:

It only cuts the risk as stated and other factors such as lifestyle, age, bloodpressure and past medical background also have an impact so you can still have heart issues.

false , people can still develop heart issues

If f(x) = 2x + 1 and g(x) = x2 - 2, find f(g(3)).

Answers

Answer:

15

Step-by-step explanation:

g(3)=(3)^2-2=7

f(g(3))=f(7)=2*7+1=15

Answer:

9?

Step-by-step explanation:

f(3*2-2)

=4

then

2*4+1

=9 is the answer

41
Ivan has just opened a small coffee shop. He paid a copy store 50.10 percopy to make
1,428 copies of the flyer to announce the opening of the shop an is having 14
distribute all 1 428 flyers, and he is paying them 50.25 tot sath Syer shey der He suure
each friend the same number of flyers
What is the total amount Ivan is paying each friend to
disor
Show your work
Answers

Answers

Answer:

41

Ivan has just opened a small coffee shop. He paid a copy store 50.10 percopy to make

1,428 copies of the flyer to announce the opening of the shop an is having 14

distribute all 1 428 flyers, and he is paying them 50.25 tot sath Syer shey der He suure

each friend the same number of flyers

What is the total amount Ivan is paying each friend to

disor

Show your work

Answers

3. If bº = 110°, what is the value of gº?

Answers

Answer:

hello mate <3

u see here its a quadrialteral

with 4 angles b , d , 70 , g

so b + d + 70 + g = 360

now u see 60 + d = 180 (straight line)

d = 120 and b = 110 ( given)

so

110 + 120 + 70 + g = 360

g + 300 = 360

g = 360 - 300 = 60 degrees option c

brainliest?

suppose that this decade begins on 1 january 2020 which is wednesday and the next decade begins on 1 january 2030. how many Wednesday are there in this decade?​

Answers

Answer:

521

365 *10 = 3650

365/7 = 521.4

Step-by-step explanation:

Which property of equality would be used to isolate the variable b in this equation?

3/4 x b = 12

A. addition property of equality

В. subtraction property of equality

C. multiplication property of equality

D. symmetric property of equality

Answers

Answer:

C. multiplication property of equality

Step-by-step explanation:

3/4b = 12

Multiply each side by 4/3 using the multiplication property of equality

4/3* 3/4b = 12*4/3

b = 16

What's a very complex equation that equals 3

Answers

got this from a website, hope it helps!

what is the lcm of two numbers if one number is a multiple of the other

Answers

If one number is the multiple of another number, then the L.C.M. will be the smaller number (the number whose multiple the other number is).

help asap please. it's for a grade.​

Answers

answer:
788 cm^2
step-by-step explanation:
sa = 2(lw + lh + wh)
l = length w = width h = height
let’s do each one separately
first the pink one
length = 5 width = 6 height = 20
sa = 2(5(6) + 5(20) + 6(20))
sa = 2(30 + 100 + 120)
sa = 2(250)
sa = 500
now the purple
length = 6 width = 4 height = 12
sa = 2(6(4) + 6(12) + 4(12))
sa = 2(24 + 72 + 48)
sa = 2(144)
sa = 288
now add them
500 + 288
788 cm^2
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