2. The table shows distance, y, that Mario runs in x minutes.
Mario’s Running Speed
Time,
(min) Distance,
(mi)
7 | 1
21 | 3
35 | 5
(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.
(b) What is the rate of change for this linear relationship? Show your work.
(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.
Answer:
Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4
Answer:
Domain: (-∞,∞)
Range:(-∞,∞)
Step-by-step explanation:
The sketch of the given function has been attached and the domain and range both will be (-∞,∞ ).
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A function that fluctuates linearly with respect to the changing variable is referred to as being linear.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given the function,
ƒ(x) = -5x + 4
Range of the function ;
Since the value of the function is defined for all real x and the value will be unique so
Range = (-∞,∞ ).
The domain of the function ;
Since it is defined for all real x so,
Domain = (-∞,∞ )
For more about the linear function
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44.8 is what percent of 160?
Answer:
28% .................
Answer:
28%
Step-by-step explanation:
100%/x%=160/44.8
(100/x)*x=(160/44.8)*x - we multiply both sides of the equation by x
100=3.5714285714286*x - we divide both sides of the equation by (3.5714285714286) to get x
100/3.5714285714286=x
28=x
x=28
now we have:
44.8 is 28% of 160
what expression is equal to(5+x-2)×2
Henry left for the lake in the morning and it was 78°F.
When he arrived at the lake the temperature had increased
7° and by lunch it increased another 5°. What is the
temperature when Henry was eating lunch?
Answer:
The temputure is -64
Step-by-step explanation:
Please anybody help please
Answer:
x= -3 and y = 6
Step-by-step explanation:
so basically what you are trying to do is reduce into finding x and y
what you do is you want to find a number to multiply one of the equations in order to get the same x or y value does not matter which
so,...
we can do
either 20x or 15y
we will go with the smallest 15y
so for both equations multiply the whole thing by 5 for the first equation and by 3 for the second
5 x 5x+3y=3 --> 1
3 x 4x+5y=18 --> 2
we then get
25x+15y = 15 -->1
12x + 15y = 54 -->2
then now that you have the same Y values you can subtract ! which cancels out both the 15y
25x+15y = 15 -->1
- 12x + 15y = 54 -->2
13x =-39
so now x=-3 and all you have to do with x = -3 is sub this into either one of the equations that you started with !
x = -3
5(-3) +3y =3
-15 + 3y = 3
3y = 3+15
3y=18
y = 6!
I need help please
Hellllllllllllppppppppppp
Answer:
The answer is 5 1/2! So what you are looking for is 1/2.
Step-by-step explanation:
Answer:
11/2
Step-by-step explanation:
I don’t understand.
Answer:
y = -2/3x
Step-by-step explanation:
A perpendicular line is the negative reverse of the slope of the other line. I'm not sure about the options you have there but hopefully this helps you get your answer.
The candidate that won received 80% of the 260 total votes. How many votes did the non-winning candidate receive?
PLEASE HELP I WILL GET YOU WHATEVER YOU WANT!!
Answer:
Step-by-step explanation:
20% of 260
Or 52 votes
3*10^4+2.5*10^0
ghfuigffhh
Answer:
30002.5
Step-by-step explanation:
Same factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?
Given :
Factory has supplies expenses of $1135.78 a day.
Company earns $60,128.72 in one week.
To Find :
The factory's total profit or loss in one week.
Solution :
Expenses of factory of a week :
E =$( 1135.78 × 7 ) = $7950.46 .
Now, profit is given by :
P = $60,128.72 - $7950.46
P = $52178.26
Therefore, total profit of factory in one week is $52178.26 .
Hence, this is the required solution.
simplify (-sqrt of 125)^3
Answer:
5
Step-by-step explanation:
[tex]\sqrt[3]{125} =5*5*5=5[/tex]
what does angle DFE= in degrees?
Type only number for answer
What is 2x+8x=6? Please answer accurately???
Answer:
x = 3/5
Step-by-step explanation:
2x + 8x = 6
10x = 6
x = 3/5
Solving the system using equations ( 15 points)
3x+2y=17
2x+5y=8
Answer:
{x,y}={ 11 /69 ,− 11 /10 }
Step-by-step explanation:
Which inequality is shown in the graph?
Answer: 3ft²?
Step-by-step explanation:
What is the first step in evaluating the expression shown below?
(12.9-3.1) 6.2-2 + 43
Answer:
Subtract 3.1 from 12.9
Hope it helped
A bag contains 95 blue marbles, 7 red marbles, and 5 green marbles. One marble is randomly
chosen. Select all true statements about the marble chosen.
A It is certain that the marble was blue.
B. It is unlikely that the marble chosen was green.
C. It is unlikely that the marble chosen was orange.
D. It is likely that the marble chosen was blue.
E It is not possible that the marble chosen was green.
E It is neither likely nor unlikely that the marble chosen was red.
Answer:
B,D, and the last E
Step-by-step explanation:
3x²=12 extracting square roots
Answer:
x = ± 2
Step-by-step explanation:
Given
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
what is the equation of a line that is parralel to 2x+3y=3 and passes through the point (3,-4)
Brad had 10 crickets in his pet lizard’s cage. After one day, Brad’s lizard has eaten 20% of the crickets he had put in the cage. By the end of the next day, the lizard had eaten 25% of the remaining crickets. how many crickets were left in the cage at the end of the second day?
IL GIVE BRAINLIST!! PLEASE HELP! THERES 2 ANSWERS JUST SAYING!!
Answer: Option 2
Pls mark me brainilest!
Step-by-step explanation:
One Saturday, a butcher sells a total of b pounds of beef at $6.00 per pound. She also sells some pork for $7.00. On Sunday she sells b pounds of beef again, but at the sale price of $4.00 per pound. She also sells some pork for $9.00. Given that she made the same revenue of d dollars each day, which of the following systems of equations can be used to find out how many pounds of beef, b, she sold each day?
The equations that can be used to find out how many pounds of beef, b, she sold each day will be:
d = 6b + 7.
d = 4b + 9
How to illustrate the equation?From the information given, the butcher sells a total of b pounds of beef at $6.00 per pound and she also sells some pork for $7.00.
Therefore, the equation will be:
d = (6 × b) + 7.
d = 6b + 7.
d = (4 × b) + 9
d = 4b + 9
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The tuition and fees at a two-year college are $135 per credit hour. If Tyler takes h credit-hours, write an expression for the cost of his tuition and fees.
Answer:
t=135h, where
t is the cost of tuition and fees
his the number of credit hours
Step-by-step explanation:
Given that the tuition and fees at a two-year college are $135 per credit hour, the expression to calculate the cost of Tyler's tuition and fees would indicate that is equal to the result of multiplying the price per credit hour for the number of hours:
t=135h, where
t is the cost of tuition and fees
his the number of credit hours
YALL BETTER ANSWER THIS PLSSSSSSSSSSS
Answer:
= 3/16(0.1875)Step-by-step explanation:
explanation in the image.Answer:
Step-by-step explanation:
Take out lignes
-1/4x-3/7
= -7/12
A newspaper is rolled into a cylindrical shape of approximate diameter 4cm It is wrapped for posting with a strip of paper which goes about 2 1/2 times round the newspaper Use the value 3 for π to find the approximate length of the wrapping paper. And 2. Calculate the total surface area of a solid cone of slant hight 10cm and base diameter 10 cm.Use the value 3.14 for π
Answer:
30 cm
[tex]863.5\ \text{cm}^2[/tex]
Step-by-step explanation:
d = Diameter of cylinder = 4 cm
n = Number of times the strip of paper is turned = [tex]2\dfrac{1}{2}=2.5[/tex]
Diameter of the cylinder will be approximately equal to the diameter of the paper wound. Length of one turn will be circumference of the paper
Circumference of the paper
[tex]c=\pi d\\\Rightarrow c=3\times 4\\\Rightarrow c=12\ \text{cm}[/tex]
Total length of the paper will be the number of turns multiplied by the length of one turn
[tex]l=nc\\\Rightarrow l=2.5\times 12\\\Rightarrow l=30\ \text{cm}[/tex]
Length of the strip of paper is 30 cm.
2.
l = Slant height = 10 cm
d = Base diameter = 10 cm
r = Radius of base = [tex]r=\dfrac{d}{2}=\dfrac{10}{2}=5\ \text{cm}[/tex]
Total surface area of cone is given by
[tex]S=\pi r^2+\pi rl\\\Rightarrow S=\pi r(r+rl)\\\Rightarrow S=3.14\times 5(5+5\times10)\\\Rightarrow S=863.5\ \text{cm}^2[/tex]
The total surface area of cone is [tex]863.5\ \text{cm}^2[/tex].
Dr. Ochoa's team attached a beam to the International Space Station creating a right angle. If the height of the International Space Station is 110 kilometers and the length of the attached beam is 75 kilometers, how far is the end of the beam from top of the International Space Station? Round your answer to nearest tenth of a kilometer.
133.1 kilometers
Step-by-step explanation:
Consider the line y = x+4.
Find the equation of the line that is perpendicular to this line and passes through the point (-8, 6).
Find the equation of the line that is parallel to this line and passes through the point (-8, 6).
the 15% tip on craig's lunch bill came to $2.40 what was the amount of bill before the tip? show workouts