1. Priya jogs at a constant speed. The relationship between her distance and time is
shown on the graph. Diego bikes at a constant speed twice as fast as Priya.
Sketch a graph showing the relationship between Diego's distance and time.
Answers
Answer:
Step-by-step explanation:
Relationship between distance the distance and time for Priya has been given in the graph.
Therefore, slope of the line on the graph will represent the speed of jog of Priya.
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points lying on the line.
Since, (0, 0) and (0.4, 2) are lying on the line.
Therefore, slope or speed of the line will be,
Speed = [tex]\frac{2-0}{0.4-0}[/tex]
= 5
Now Diego bikes at a speed twice as fast as Priya,
So Diego's speed = 5×2 = 10 mile per hour
Therefore, slope of the line for Diego on graph will be,
m = 10
Line passing through origin and slope = 10 will be,
y = 10x
Points representing Diego's speed will be,
x 0 0.1 0.2 0.3 0.4 0.5
y 0 1 2 3 4 5
Now we can graph these points to get the line.
Relationship between distance the distance and time for Priya has been given in the graph.
Therefore, slope of the line on the graph will represent the speed of jog of Priya.
Slope =
Where and are the points lying on the line.
Since, (0, 0) and (0.4, 2) are lying on the line.
Therefore, slope or speed of the line will be,
Speed =
= 5
Now Diego bikes at a speed twice as fast as Priya,
So Diego's speed = 5×2 = 10 mile per hour
Therefore, slope of the line for Diego on graph will be,
m = 10
Line passing through origin and slope = 10 will be,
y = 10x
Points representing Diego's speed will be,
x 0 0.1 0.2 0.3 0.4 0.5
y 0 1 2 3 4 5
Now we can graph these points to get the line.
Related Questions
Given the function h(x) = —~2 – 6x + 17, determine the average rate of change
of the function over the interval – 6 < x < -2.
Answers
Answer:
Average Rate of change of given function [tex]h(x)=-x^2-6x+17[/tex] is 2
Step-by-step explanation:
We are given function: [tex]h(x)=-x^2-6x+17[/tex] (considering x is missed)
We need to find average rate of change of the function over the interval [tex]- 6 < x < -2[/tex].
[tex]x_{1} = -6\\x_2 =-2[/tex]
Formula used to find average rate of change is: [tex]Average \ Rate \ of \ Change =\frac{h(x_2)-h(x_1)}{x_2-x1}[/tex]
Finding f(x₁) and f(x₂)
[tex]We \ have \ x_1=-6\\h(x_1)= -x^2-6x+17\\h(x_1)=-(-6)^2-6(-6)+17\\h(x_1)=-36+36+17\\h(x_1)=17[/tex]
[tex]We \ have \ x_2=-2\\h(x_2)=-x^2-6x+17\\h(x_2)=-(-2)^2-6(-2)+17\\h(x_2)=-4+12+17\\h(x_2)=25[/tex]
Putting values in the formula of average rate of change
[tex]Average \ Rate \ of \ Change =\frac{h(x_2)-h(x_1)}{x_2-x1}\\h(x_2)=25, h(x_1)=17, x_1 =-6 \ and \ x_2=-2\\Average \ Rate \ of \ Change =\frac{25-17}{-2-(-6)}\\Average \ Rate \ of \ Change =\frac{8}{4}\\Average \ Rate \ of \ Change =2[/tex]
So, Average Rate of change of given function [tex]h(x)=-x^2-6x+17[/tex] is 2
Type the correct answer in the box. Use numerals instead of words.
Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10% 0 to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37% > 500,000
Single Taxpayers: Qualified Dividends and Long-Term Capital Gains
Tax Rate Income Bracket
0% 0 to 38,600
15% 38,601 to 425,800
20% > 425,800
The tax rate Laura will pay on her investment income is
%.
Answers
Answer:
22% because her taxable income will now be 40,000 dollars
Step-by-step explanation:
Answer:
15% Plato
Step-by-step explanation:
-28=p+21
Please help I don’t understand
Answers
Answer: -7
Step-by-step explanation:
-28=p+21
Move variables to the left- hand side and change its sign
-p-28=21
Move constant to the right hand side and change its sign
-p=21+28
Add the numbers
-p=49
Changes the sign on both sides of the equation
p=-49
Answer :p=-49
PLEASE MARK ME AS BRAINLIEST
Please help with this I’m really confused tbh thank you very much :) y’all are amazing
Answers
Answer:
1. ASA
2. SSS and SAS
Step-by-step explanation:
1. We know that two angles are congruent, and the side in between them is congruent, so the postulate we can use is the ASA postulate
2. SSS and SAS. We know that two sides are congruent. We can figure out that AC = AC by the reflexive property so we can use the SSS postulate. We can also use the SAS because two sides are congruent and the angle in between them is congruent too.
120-75+105 please do it in order
Answers
Answer:
150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
120-75=45
45+105=150
120-75+105=150
Simplify.
2(y-5) - 4y
Answers
ANSWER: -2y-10
Step-by-step explanation:
What is the volume of a sphere with a radius of 6 inches?
290n cubic inches
288n cubic inches
112n cubic inches
300n cubic inches
Answers
What is the value of x? Round to the nearest tenth(1 decimal place)
Answers
Answer:
x ≈ 15.0 ft
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesTrigonometry
tan∅ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Angle = 28°
Opposite leg of angle = 8 ft
Adjacent leg of angle = x ft
Step 2: Find x
Substitute: tan28° = 8/xMultiply x on both sides: xtan28° = 8Divide tan28° on both sides: x = 8/tan28°Evaluate: x = 15.0458Round: x ≈ 15.0 ftSolve the following equation by the quadratic formula. 4x 2 - 2x = 7
Answers
Answer:
Here is the screenshot of my answer:
help me please i need it a lot
Answers
15. The diameter of a circle is given as 10 cm, correct to the nearest cm. Calculate:
a) the maximum possible circumference
b) the minimum possible area of the circle consistent with this data
Answers
Answer:
10cm correct to nearest cm" means the diameter could be arbitrarily close to (but less than) 10.5 cm. So the maximum possible circumference is 10.5π cm.
"10cm correct to nearest cm" also means that the diameter could be arbitrarily close to (but greater than) 9.5 cm. So the minimum possible area is π(9.5)²/4 cm²
Bailey caught a total of 12 fish on her fishing trip, and 9 of them were trout. What
percent of the fish were trout?
Answers
Answer:
75 %
Step-by-step explanation:
9 out of 12 is 75
A camera is capable of snapping 3/4 of a picture per second how long will it take for the camera to snap 6 pictures
Answers
Answer:
8 seconds
Step-by-step explanation:
0.75x = 6
x = 8 seconds
Answer:
It will take 8 seconds to snap 6 pictures.
Can someone help me please
Answers
The point to the left will be -2,6
The point at the bottom will be 2,2
The point to the right will be 1,5
Which of the following values are solutions to the inequality x-7< 5?x−7<5?
Answers
Answer:
x>12
Step-by-step explanation:
Answer:
These are = to........so =
help me please !!!!!!!
Answers
Answer:
6
Step-by-step explanation:
H
S
45°
299
N
106
E
29°
А A A
Answers
Answer:
Can you pls write it straight
Step-by-step explanation:
2700 is a perfect cube. True/False?
Answers
Answer: False
Step-by-step explanation:
Answer:
It is false hope this will be
EASY QUESTION!!Example 3:
A soccer ball will not move until a player kicks it.
Group of answer choices
Newton's 1st Law
Newton's 2nd Law
Newton's 3rd Law
Give evidence or explain your reasoning for your answer to example #3:
Answers
Answer:
this is Newton's first law
Step-by-step explanation:
the soccer ball when kicked keep going forward until friction a person or another object like a wall stops it when the soccer ball is resting non-moving on the ground or stay like that until someone kicks it or another Force acts upon it
HELP ASAP I NEED SOMEONE TO ANSWER LESS THAN 30 MINS!!
Swim team members can race or dive. At the meet, 18 members race. The ratio of racers to divers is 6 : 2. How many members are on the team?
Answers
Answer:
3
Step-by-step explanation:
Got it right :P
Help I reward you the Brainlyest
Answers
The x- intercept is (7/5,0)
Hope this helps!
Answer:
(0, -7), (7/5, 0)
Step-by-step explanation:
rearrange your equation to look like y = mx+b where b is the y-intercept
y-3 = 5(x-2) distribute
y-3 = 5x-10 add 3 to both sides
y = 5x -10 +3 combine like terms
y= 5x-7 so
y-intercept is at ( 0, -7)
to find x-intercept make 5x-7=0 and solve for x
5x-7 = 0 add 7 to both sides
5x = 7 divide both sides by 5
x=7/5 or 1.4
x-intercept is (7/5, 0)
Help please! I’m really confused
Answers
Answer:
f(3) = -2
General Formulas and Concepts:
Reading a Cartesian PlaneReading coordinatesStep-by-step explanation:
f(3) simply means that the x values equals 3. x = 3
The question is asking for the y-value when x = 3.
According to the graph, when x = 3, y = -2.
Therefore, f(3) = -2.
0.5 e + 20= 25
solving equations
Answers
Answer:
e = 10
Step-by-step explanation:
Simplifying
0.5e + 20 = 25
Reorder the terms:
20 + 0.5e = 25
Solving
20 + 0.5e = 25
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 0.5e = 25 + -20
Combine like terms: 20 + -20 = 0
0 + 0.5e = 25 + -20
0.5e = 25 + -20
Combine like terms: 25 + -20 = 5
0.5e = 5
Divide each side by '0.5'.
e = 10
Simplifying
e = 10
Answer:
e = 1
Step-by-step explanation:
0.5e + 20 = 25
0.5e = 5
e = 1
You subtract 20 from 25 to get 5. Then you divide 5 by 5 to get e = 1
pls give brainliest!!
Help now!!! Due at midnight
Answers
Answer:
20
Step-by-step explanation:
the answer is 20 hope this helps
Answer: 20
Identify the pattern:
3⋅5 = 15 and 3⋅4 = 12
4⋅5 = 20 and 4⋅4 = 16
5⋅5 = 25 and 5⋅4 = 20
Talia spent 3/4 of this weeks allowance
on candy. Of the money she spent on
candy, 5/6 was spent on gummy bears.
What fraction of this week's
allowance did Talia spend on
gummy bears?
Answers
Answer:
Very straightforward! Although we don't know actual dollar amounts, we only need fractions. Multiply the 3/4 of her allowance by the 5/6 of spending that was gummy bears:
3 * 5 Cancel the 3 and 6, dividing each by 3:
4 6
1 * 5 Nothing else cancels, so just multiply sideways as usual, and you get:
4 2
5
8
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•
1
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Step-by-step explanation:
Very straightforward! Although we don't know actual dollar amounts, we only need fractions. Multiply the 3/4 of her allowance by the 5/6 of spending that was gummy bears:
3 * 5 Cancel the 3 and 6, dividing each by 3:
4 6
1 * 5 Nothing else cancels, so just multiply sideways as usual, and you get:
4 2
5
8
Upvote
•
1
Downvote
Add comment
Answer: spent on gummy bears = 3/4 * 5/6 = 15/24 =5/8 of weekly allowance
what is the slope of the graph?
Answers
Answer:-6
Step-by-step explanation:
3.005 as a fraction simplified(I’m reporting wrong answers)
Answers
Answer:1
Step-by-step explanation:it’s one decimal
Graph the line that passes through the points (4,-6) and (-4,-8) and determine the equation of the line.
Answers
Answer:
y=1/4x-7; can't put graph on here
Step-by-step explanation:
m=y2-y1/x2-x1
m=-8+6/-4-4=-2/-8=1/4
put it in point-slope form with (4,-6) as the base
y-y1=m(x-x1)
y+6=1/4(x-4)
y+6=1/4x-1
y=1/4x-7
For a segment of a radio show , a disc jockey can play 7 records . If there are 9 records to select from , in how many ways can the program for this segment be arranged ?
Answers
Answer: 72
Step-by-step explanation:
From the question, we are informed that a disc jockey can play 7 records and that there are 9 records to select from for a particular segment of a radio show.
The number of ways that the program for the segment be arranged will be:
= 9! / 7!
= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (7 × 6 × 5 × 4 × 3 × 2 × 1)
= 9 × 8
= 72
Answer:181,440
Step-by-step explanation:
1/3 of the sum of 2 numbers is 20.One of the number is 32.What is the other number?
