PLEASE HELP The table below represents the distance of a car from its destination as a function of time.
Time
(hour)
x
Distance (miles)
y
0
900
1
850
2
800
3
750
Part A: What is the y-intercept of the function and what does this tell you about the car? (4 points)
Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 and what does the average rate represent? (4 points)
Part C: What would be the domain of this function if the car traveled the same rate until it reached its destination? (2 points)
Answers
y=mx+b
900=m*0+b, b=900
850=m*1+900
m=-50
Linear equation is:
y=-50x+900
Part A: y-interception is y=900 or(0,900).
It means that a car has to travel a distance of 900 miles to reach a final destination.
Part B:Average rate of change:
Part C: Domain of this function if the car traveled the same rate until it reached its destination:
0=-50x+900
50x=900
x=900/50=18
Domain: x∈ [0, 18].
Answer:
Step-by-step explanation:
First we have to determine a linear equation. We will take two points (0,900) and (1,850):
y=mx+b
900=m*0+b, b=900
850=m*1+900
m=-50
Linear equation is:
y=-50x+900
Part A: y-interception is y=900 or(0,900).
It means that a car has to travel a distance of 900 miles to reach a final destination.
Part B:Average rate of change:=-50. It represents how many miles per one hour changes the distance from a destination.
Part C: Domain of this function if the car traveled the same rate until it reached its destination:
0=-50x+900
50x=900
x=900/50=18
Domain: x∈ [0, 18
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Answers
The ALTITUDE is a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line.
#2
The MEDIAN a line segment that connects a vertex of a triangle to the midpoint of the opposite side
Answer:
# 1
Altitude of a triangle.
# 2
Median of a triangle.
Step-by-step explanation:
Altitude--
An altitude is a line that passes through a vertex and it intersects the opposite side of that vertex at 90 degree i.e. the line is perpendicular to the opposite side.
The point where the three altitudes of a triangle meet is called the Orthocenter of the triangle.
Median of a triangle--
The median of the triangle is the line which passes through a vertex and meets the midpoint of the opposite side of the triangle.
The point where the three medians of a triangle meet is called the Centroid of the triangle.
Answers
= 1cm
The answer is 1cm
Hope this helps!
Answer:
0.6
Step-by-step explanation:
multiply all of the numbers
Answers
Answer:11.25 square feet of each carpet will be needed for the bedroom.
Step-by-step explanation:
The formula for determining the area of a square is expressed as
Area = length^2
Marco's bedroom is a square that one side is 7 1/2 feet. Converting
7 1/2 feet to improper fraction, it becomes 15/2 feet.
Therefore, the area of Marco's bedroom would be
(15/2)^2 = 225/4 = 56.25 square feet.
Marco wants to come in at five carpet. It means that the number of square feet of each carpet that will be needed for the bedroom is
56.25/5 = 11.25
B- i girl for every 1.09 boys
C- 44 girls for every 48 boys
D- 11 girls for every 12 boys
Answers
The correct option is D. 11 girls for every 12 boys.
We need to determine the ratio of the number of girls to the number of boys.
Given:
Number of girls = 88
Number of boys = 96
The ratio of girls to boys can be represented as "girls : boys."
To simplify the ratio, we can divide both the number of girls and the number of boys by their greatest common divisor (GCD). In this case, the GCD of 88 and 96 is 8.
Dividing both numbers by 8, we get:
Number of girls (after dividing) = 88 ÷ 8 = 11
Number of boys (after dividing) = 96 ÷ 8 = 12
So, the simplified ratio of girls to boys is 11 : 12.
Now, let's check which option matches the simplified ratio:
A. 88 girls for every 96 boys (Does not match)
B. 1 girl for every 1.09 boys (Does not match)
C. 44 girls for every 48 boys (Does not match)
D. 11 girls for every 12 boys (Matches)
The correct option is D. 11 girls for every 12 boys.
Learn more about Ratios here:
brainly.com/question/32531170?
#SPJ2
Answer:
There are 11 Girls for every 12 Boys in the sixth-grade class
Step-by-step explanation:
For this problem, you want to take the original rate which is 88 girls / 96 boys.
Once you have that number, you want to divide both sides by 8.
88/96 = 11/12
b. Write an equation to model the problem. Explain your answer.
c. Solve the equation. Show your work.
d. Find the number of minutes that Allegra went over the time that the plan allows. Explain your answer.
Please help me with this problem, I don’t understand it. Thanks in advance! :D
Answers
a. The unknown is how many minutes she used beyond the plan. So, we'll use "m" for the variable, to represent minutes.
b. 73.40 = 65 + 0.10m
The 73.40 is the total, which is why it's by itself. 65 represents the price per month for the plan, and 0.10m is the price per extra minute multiplied by the unknown amount of minutes used.
c. 73.40 = 65 + 0.10m
8.40 = 0.10m
84 = m
d. The number of minutes that Allegra went over the time that the plan allows is found by solving the equation we just wrote and solved. $0.10 is paid for every minute past the plan's allowance, meaning that "m" in the equation, when solved, shows us exactly how many minutes over Allegra went.