A bike trail is drawn on a coordinate system. Each end of the trail is an x-intercept. The height of the trail is modeled by the function h(x) = -0.1x^2 - 0.3x +2.8 , where x is the horizontal distance in kilometers. How many meters is the horizontal distance of the trail?

Answers

Answer 1

Answer:

4metres

Step-by-step explanation:

Given the height of the trail modeled by the function h(x) = -0.1x^2 - 0.3x +2.8 , where x is the horizontal distance in kilometers

The horizontal distance occurs at the x intercept i.e at h(x) = 0

Substitute

0 = -0.1x^2 - 0.3x +2.8 ,

Multiply through by -10

0 = x^2 + 3x - 28

x^2 + 3x - 28 = 0

Factorize

x^2 + 7x - 4x - 28 = 0

x(x+7) - 4 (x+7) = 0

(x-4)(x+7) = 0

x-4 = 0 and x+7 = 0

x = 4 and -7

Since the danced cannot be negative, hence the horizontal distance of the trail is 4m


Related Questions

Rewrite the following equation in slope-intercept form.
y + 3 = }(x + 6)
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

Slope-intercept form is

y = mx + b

We want to get the y by itself on one side of the equation.

0 = 18x + 6y – 2

First let's subtract 6y from both sides.

-6y = 18x – 2

Next let's divide both sides by -6.

y = (18 / -6)x - (2 / -6)

y = -3x + 1/3

...The last instructions are kind of confusing to me, but I think that is the answer you're after. :)

Help i don't know what to do I will give brainiest

Answers

Answer:

Her starting average was 66

it decreased by 7

her final average was 71

Step-by-step explanation:

i think

Answer:

a. 78

b. decreased by 7 points

c. 83 points

Step-by-step explanation:

HELP ME WITH THIS QUESTION PLS

Answers

Answer:

its arab

Step-by-step explanation:

because there the largest ethnic group in the region

Each dance class is hour. It takes a student 7 hours to loarn a dance routine. Which
statement is true?
A student needs to take 10 dance classes to learn the routine
A student needs to take 6 dance classes to learn the routine
A student needs to oko 5 dance classes to learn the routi
A student needs to take 9 dance classes to learn the routine

Answers

Answer:

I think it's letter A

Step-by-step explanation:

but I'm not sure ok

This is a terrible question, LOL.

I would say 9 classes. 5 or 6 classes only = 5 or 6 hours. The least number of classes they need to take is 7, but that’s not an option, so I would go with 9.

Please help I will mark brainliest

Answers

you don’t even have brainliest...

The area of the hardscape is 3x^2 + 13x + 4. what is the length and width of the hardscape

Answers

Answer:

[tex](3x+1)[/tex]

[tex](x+4)[/tex]

Step-by-step explanation:

Assuming that the given surface is two-dimensional, one can simply factor the given polynomial to find the dimensions of the surface.

[tex]3x^2 + 13x + 4[/tex]

Just by looking at the polynomial, it is fairly obvious that the factors are;

[tex](3x+1)(x+4)[/tex]

One can check this by distributing, multiply every term in one of the parenthesis by every term in the other. Then combine like terms,

[tex]3x^2 + 12x + x + 4\\\\3x^2 + 13x + 4[/tex]

Without further information, it is impossible to determine which is the length, and which is the width, one just knows that the dimensions of the surface are;

[tex](3x+1)\\\\(x+4)[/tex]

PLEASE HELP

What statement best describes the relation ship in the graph below


A. The relationship is a function because of all the y -values are positive

B. The relationship is not a function because the graph does not pass through the point (0,0)

C. The relationship is a function because each x -value has exactly one corresponding y -value

Answers

The answer is b hope it helps

please answer asap I'll mark brainliest​

Answers

Answer:

$3200

Step-by-step explanation:

First divide 40,000 by 100, which givse you 400

Now multiply the 400 by 8, which mulitplies to 3200.

Answer:

8% as a decimal is .08

simply multiply the 40,000 by .08.

40000 x .08= 3200

Serge was curious if a sample third quartile was an unbiased estimator of a population third quartile. He started with a large normally distributed population of test scores whose third quartile was Q3=80 points. He then took a random sample of 6 tests and calculated the third quartile of the sample. He replaced those tests and repeated this process for a total of 40 trials. His results are summarized in the dot plot below, where each dot represents the third quartile from a sample of 6 tests.

Answers

Answer:

Sample third quartile appears to be an unbiased estimator of the population third quartile.

Step-by-step explanation:

khan

24 times *blank* =6

Someone please answer this I need help

Answers

Answer:

0.25

Step-by-step explanation:

0.25 x 24 = 6

WILL GIVE BRAINLIEST!
Find two consecutive even integers such that four times the first equals three times the second. (Enter your answers as a comma-separated list.)

Answers

Answer:

This is complicated

Step-by-step explanation:

UHM

geometry : A triangle has two sides of length 14 and 2. What is the smallest possible whole-number length for the third side?

Answers

Answer: 7

hope this helps!!

can someone please help
instructions: identify the slope and Y- intercept from each equation. make sure that the equation is in slope intercept form. you may leave any functions as simplified improved fractions.​

Answers

Answer:

ab. y interecept 678

slope -33333

Step-by-step explanation:

MULTIPLE CHOICE
Question 10
Liam wants to treat some friends to lunch. He has $50 and knows that lunch will cost $8 per person. For how many people can Liam buy lunch?
A
Liam can buy lunch for 7 or fewer people, including himself.

B
Liam can buy lunch for 7 or more people, including himself.

C
Liam can buy lunch for 6 or fewer people, including himself.

D
Liam can buy lunch for 6 or more people, including himself.

Answers

Answer:

C

Step-by-step explanation:

8 x 6 would equal 48, which results in not having enough money to buy lunch for more people.

Answer:

the answer should be c

Step-by-step explanation:

let's do a equation for this problem.

8x = 50

/8     /8

  x = 6.25

x represents the amount of friends. we divide 8 by both sides to isolate x by itself.

since the final result gives us a decimal, we have to round it to the nearest whole number. it's not possible to have a decimal amount of friends. it should be 6. it cannot be 7 if you are wondering because 7 is bigger than 6.25. there's no way there can be 7 friends when there is a limit amount of 6. therefore, the answer is c.



A recipe requires 1/2 cup of milk for each 1/4 cup of water. How many cups of water are needed for each
cup of milk?

Answers

Answer:

7

Step-by-step explanation:

7.
Find the slope of the line.


A. [tex]\frac{1}{4}[/tex]

B. –4

C. 4

D. [tex]-\frac{1}{4}[/tex]

Answers

Answer:    The answer is either letter A or letter C

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =  

ΔY

ΔX

=  

-1

5

= -0.2

θ =  

arctan( ΔY ) + 360°

ΔX

= 348.69006752598°

ΔX = 5 – -5 = 10

ΔY = -3 – -1 = -2

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -0.2x – 2

or

y =  

- 1 x

5

– -2

When x=0, y = -2

When y=0, x = -10

...............................................................................................................................................

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =  

ΔY

ΔX

=  

5

-1

= -5

θ =  

arctan( ΔY ) + 180°

ΔX

= 101.30993247402°

ΔX = -3 – -1 = -2

ΔY = 5 – -5 = 10

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -5x – 10

When x=0, y = -10

When y=0, x = -2

...............................................................................................................................................

Input Data :

Point A  

(

x

A

,

y

A

)

= (3, 2)

Point B  

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

y

A

x

B

x

A

Solution:

Slope

 

m

=

10

2

7

3

=

8

4

m = 2

...............................................................................................................................................

Input Data :

Point A  

(

x

A

,

y

A

)

= (3, 2)

Point B  

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

y

A

x

B

x

A

Solution:

Slope

 

m

=

10

2

7

3

=

8

4

m = 2

Step-by-step explanation:    This is the picture, I graphed it

Center: (0, 0)

Angle: 0 rad

Opacity: 1

Width: 10

Height: 6.8

when given a trinomial with no GCF what is the first step in factoring?

Answers

Answer:

Group the first two terms together and then the last two terms together

Step-by-step

may not be right sorry if it isn't

Step 1: Group the first two terms together and then the last two terms together. Step 2: Factor out a GCF from each separate binomial. Step 3: Factor out the common binomial. Note that if we multiply our answer out, we do get the original polynomial.

A recipe uses 5 cups of milk to make 30 servings. If the same amount of milk is used for each serving, how many servings can be made from one quart?

Answers

Answer:

Three gallons will be enough to make 128 servings.

Step-by-step explanation:

In Three gallons there are 64 cups. if 5 cups makes 10 servings, that is 1/2 cup per serving. So 64 cups will make 128 servings.

I NEED HELP ASP. IT IS SO HARD

Answers

Answer:

Company A charges less per square foot

A charges 2.25 per square foot

B charges 2.75 per square foot

Step-by-step explanation:

Divide the cost by the appropriate square feet

3300÷1200=2.75

3850÷1400=2.75

Simply the expression -2.2f+0.9f-14-8

Answers

Answer:

-1.3f-22

please mark brainliest :))))))

Step-by-step explanation:

Answer:

-1.3 - 6

Step-by-step explanation:

combine -2.2 and 0.9, since 0.9 is positive and -2.2 is negative the answer is -1.3, then simply subtract 14-8.

Which are equivalent ratios to 1:3?
Check all that are true.

2:6

3:9

3:6

1:9

2:8

Answers

Answer:

both 2:6 and 3:9 are the correct answers

Step-by-step explanation:

2:6 and 3:9 this is the answer

Andy is buying a car he negotaited a 7% descrease on £6500 car. he will pay the full balance in 12 equal monthly payments.

Answers

Answer:

he would pay 503.75 every month

Step-by-step explanation:

Identifying When to Use a Sample
ch survey is a sample not necessary?

Answers

The answer is d how many car accidents invoke air bag

Please help i need help please

Answers

Answer:

angle a

angle CAB

angle BAC



What is the area of the triangle?
3
4
5

Answers

Answer:

The area is 6.

Hope this helps

determine wether the given segments have the same length. justify your answer

Answers

agahahahahahahahahahahaga

After spending $5, Isaac had twice as much money as Luke. If Luke had $10, how much money did Isaac have at first?

Answers

Answer:

$25

Step-by-step explanation:

10*2=20

20+5=25

PLEASE HELP ME DUE TODAY!! MARKING BRAINLEIST

Answers

Answer:

the first one

Step-by-step explanation:

perform 1/3 on both x and y:

Your answer is C as it starts with J = (1, 2)

ten less the quotient of a number and three

Answers

Answer:

(x/3) - 10

Step-by-step explanation:

quotient = divide

it's ten less than what the quotient is.

Help me please please






Answers

When dividing same numbers with different exponents (they’re both 10 so this works different than if they were different numbers) you subtract the top exponent by the bottom exponent. So 15-4=11 ultimately making the solution 10^11. Hope this helps :)
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