Help please: A bus and a train leave a station at the same time, t = 0. The graph shows the bus's distance to the next station over time. The train moves more quickly than the bus. Write an equation of a function that could represent the train's distance to the next station.
Answers
Answer:
y = (5/2)x + 20
Step-by-step explanation:
Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.
All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get
y=(5/2)x +20
Related Questions
Ray had $50. he bought two shirts that cost $19 each. how much money did Ray have after buying the shirts? Alex's answer to the word problem is $29. Is Alex's answer reasonable? explain.
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Answer: No, it's not
Step-by-step explanation:
19*2=38
50-38 = 12
Alex awnsered 29 which is $17.00 off.
Write an equation of the line that passes through a pair of points:
(-5-2). (4,5)
a. y=7/9x-17/9
b. y=7/9x-9/17
c. y=7/9x+17/9
d. y=-7/9x +17/9
Answers
Answer:
y=7/9x+17/9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-2))/(4-(-5))
m=(5+2)/(4+5)
m=7/9
y-y1=m(x-x1)
y-(-2)=7/9(x-(-5))
y+2=7/9(x+5)
y=7/9x+35/9-2
y=7/9x+35/9-18/9
y=7/9x+17/9
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/4m
Answers
Answer:
4
Step-by-step explanation:
Looking at the fractions, -3/4 and 1/2 and 1/4, you can see the LCD or least common denominator is 4.
Thus you get -3, 2, and 1 respectively by multiplying each fraction by 4.
11/2-2/3 help me plz
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4.83
answer above answer above answer above
A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?
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Answer:
12
Step-by-step explanation:
A monkey is swinging from a tree, on the first swing, she passes through an arc of 10 m. with each swing she passes through an arc 9/10 the length of the previous swing. what is total distance the monkey has traveled when she completes her 25th swing
Answers
Answer:
≈ 92.821 m
Step-by-step explanation:
For a geometric series with initial value a and rate r, the sum after n terms can be represented by
a*(1-r^n)/(1-r)
Here, we know a = 10 (the first swing), r = 9/10 because the second swing was 9/10 of the first swing, meaning we multiply the first swing by 9/10 to get the second swing, and n = 25. Plugging these values in, we get
10 * (1-0.9^25)/(1-0.9) ≈ 92.821 m
Pls help I’ll brainlest ASAP
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Rise/Run
How much each point rises should be divided by how much is slides left or right.
So your answer is 7/5x
PLEASE HELP! Look at the image and please help me
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Answer:
Step-by-step explanation:
its b
Increasing y = - 12× + 4
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There were 560 people at a play. The admission price was $2 for
adults and $1 for children. The admission receipts were $860.
How many adults and how many children attended?
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Answer:
• For this one we need to split this problem into two equations:
• a (adults) + c (children) = 560
• 2a + c = $860
• Then we substitute 560 - a for c in the second equation.
2a + 560 - a = 8602a + 560 = 8602a = 5302a = 265• Then we plug this into the first equation:
265 + c = 560c = 295Step-by-step explanation:
I hope this helps you !!Please help mee!!! I really need it Thank youu!!! <3
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Answer:
k < 3 should do it
Step-by-step explanation:
Is 14,015,289 divisible by 8?
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Answer:
yes but there will be a decimal
Step-by-step explanation:
y= -4x - 7
Please help
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Explanation:
Substitute x for 0 to find the y-intercept.
y = -4(0)-7
y = -7
Answer:
- 4x-7: m=-4
Axis interception points of - 4x - 7 intercepts: (-7/4, 0), Y intercepts: (0, - 7)
help me plssssssssssssssssssss
Answers
Answer:
Both the median and mean are 13
Erika drinks at least 40 ounces of water a day
Answers
Answer: 40 ounces or 0.3125 of a gallon
i didnt quite understand what you were asking but here is it broken down. :)
simplify:(⅓x²-8y) and (⅓x²+8y). Also find its value when x=1 and y=3
Answers
Answer:
the answer is is c I promise
Step-by-step explanation:
I just took the test
Answer:
-23.66666667
(⅓x²-8y)
Step-by-step explanation:
(⅓x²-8y) is the simplest form :)
Can u help me w this
Answers
Answer:
a) 15, b) 36
Step-by-step explanation:
Answer:
a is 15, b is 6
Step-by-step explanation:
a. 5x+3=17. subtract 3 on both sides then u get 5x=14 then you simply by dividing by 5 on each side which gives you x= 14/5 = 2.5 so ..... 5x+1= 15
b. first you rearrange the terms to -3y+5=6, then you subtract 5 from each side so it's 3y = 1. then divide both of the equation by the same term ( -3) to get y= -1/3. so 5 - 3y² = ..... 3× -1/3 = -1 and -1² = -1 so 5 - (-1) = 6
whats 3-6h if h = -1
Answers
Answer:
9 is the answer.
Step-by-step explanation:
Given:
h = -1=> 3-6h
=> 3 - 6(-1)
=> 3 + 6
=> 9
Therefore, 9 is the answer.
Hoped this helped.
I need help asap!! pls pls PLS help
Answers
Answer:
Step-by-step explanation:
It's the third choice. Since the triangles are given as similar and they are right triangles, points A, B, and D are all on the hypotenuses of those 2 triangles and are co-linear. The slope between all points on a single line is constant.
Please someone help me i dont want fail
Answers
Answer:
D
Step-by-step explanation:
(point D)
Answer:
Point D
Step-by-step explanation:
5 units right on the x axis, 3 units down on the y-axis.
A ball is thrown upward and outward from a height of 8 feet. The height of the ball, f(x), in feet, can be modeled by
f(x) = -0.1x² +0.6x+8
where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c).
WEB
a. What is the maximum height of the ball and how far from where it was thrown does this occur?
The maximum height is feet, which occurs feet from the point of release.
(Round to the nearest tenth as needed.)
Answers
Check the picture below.
let's change the decimal values to fractions, say 0.1 to 1/10 and 0.6 to 6/10 = 3/5, so then
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-\frac{1}{10}}x^2\stackrel{\stackrel{b}{\downarrow }}{+\frac{3}{5}}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left(-\cfrac{~~ \frac{3}{5}~~}{2\frac{-1}{10}}~~,~~8-\cfrac{\left( \frac{3}{5} \right)^2}{4\left(-\frac{1}{10} \right)} \right)\implies \left(\cfrac{~~ \frac{3}{5}~~}{\frac{1}{5}}~~,~~8+\cfrac{\frac{9}{25}}{\frac{2}{5}} \right)[/tex]
[tex]\left( \cfrac{3}{5}\cdot \cfrac{5}{1}~~,~~8+\left[ \cfrac{9}{25}\cdot \cfrac{5}{2} \right] \right)\implies \left(3~~,~~8+\cfrac{9}{10} \right)\implies \stackrel{\stackrel{\textit{maximum height}}{\qquad \downarrow }}{\underset{\underset{\textit{horizontal distance}}{\uparrow \qquad \quad }}{\left( 3~~,~~8\frac{9}{10} \right)}}[/tex]
The maximum weight of a suitcase that an airline allows is 50 pounds. For every 1 pound, there is approximately 0.45 kilograms.
Answers
Answer: 22.5 kg
Step-by-step explanation:
You did not attach a question, so I'm going to assume that it is asking for the maximum weight of a suitcase in kilograms.
Plz help me well mark brainliest!….
Answers
Ashton is 3 times the age of Jason. Ashton is 6 years older
than Nolan. Jason is 7 years old. How old is Nolan? Explain
Answers
Answer:
nolan is 15,
Step-by-step explanation:
3*7=21-6=15
solution:
age of Jason is 7
and Ashton is 3 times age of Jason=7*3=21
Nolan age=21-6=15
therefore the age of Nolan is 15 years
Help me please, thank you very much.
Answers
Answer:
8.9274
Step-by-step explanation:
you need to square both sides then add it together and then find the square root of the new number
Only 19 and 21!!!!!
Thank You!!!!
Answers
Step-by-step explanation:
19. 4x² - 13x + 3
4x² - 1x - 12x + 3
x(4x - 1) -3(4x - 1)
x-3 4x-1
A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°
Answers
Answer: 12° can be a possible angle of rotational symmetry
From 175 yards away, a marksman hit 14/50 of the targets last year.
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9 + 6 + 5+ 15
Is that
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15+5=20
20+15=35
35 is the answer.
A cube has a volume of 1000cm^3. Work out the surface area Of the cube.
Answers
Answer:
600
Step-by-step explanation:
V = s×s×s = s³
V = 10×10×10 =1,000
Surface area
6a² = 6(10²) =600