MATHEMATICS HIGH SCHOOL

Every 4 seconds, a ski lift chair rises 14 feet. Describe the relationship between the height of the chair and the time.

Answers

Answer 1
Answer:

The relationship between the rise of the chair with respect to time is required.

The ski lift chair rises3.5\ \text{feet/s}

Rate of change

Every 4seconds a ski lift chair rises 14\ \text{feet}.

4\ \text{seconds}=14\ \text{feet}

Divide by 4 on both sides

1\ \text{second}=(14)/(4)=3.5\ \text{feet}

The rate of the height increase of the ski lift chair is 3.5\ \text{feet/s}

Learn more about rate of change:

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Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths. Base 3.5 feet, altitude 3/4 feet. 2 1/8 sq. Ft. 2 5/8 sq. Ft. 3 3/8 sq. Ft.

Answers

A = bh

A = (3.5)((0.75)

A = 2.625

A = 2_5/8 ft^2

The scatterplot shows the time it takes for a new hot plate to boil various amounts of water, and one lab group’s attempt at a line of best fit. What feedback should another lab group give during a peer review of the work? The line of best fit is reasonable because it does not go through any points. The line of best fit is reasonable because it goes through the largest cluster of points. The line of best fit is not reasonable because it does not go through any points. The line of best fit is not reasonable because it has more points below it than above it.

Answers

The feedback the other lab group should give is (d) the line of best fit is not reasonable because it has more points below it than above it.

From the scattered plot (see attachment), we can see that the scattered plot has a total of 7 dots,

  • 5 of which are below the line of best fit,
  • 1 is on the line of best fit, and the other one is above it.

There are more points below the scattered plot, than above it.

This means that the scattered plot is not reasonable because of (d)

Read more about scattered plots at:

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Answer:

The correct option is;

The line of best fit is not reasonable because it has more points below it than above it.

Step-by-step explanation:

Here we note that there are a total of seven points in the scatter plot and there are five of the points below the line of best fit and just two above the line.

Of the five points below the line of best fit, four are just about touching the underside of the line while one of the two points above the line is just about touching the line.

The proper positioning of the line can be reviewed, therefore, with a line drawn through the four points presently touching the underside of the line of best fit.

Given: x + 2y = -6.

Solve for y.

Answers

x + 2y =-6

Subtract x on both sides

x + 2y-x =-6-x

2y =-6-x

Divide by 2 on both sides

(2y)/(2) =(-x-6)/(2)\n\ny =(-x-6)/(2)\n\n \boxed{\bf{y=-(1)/(2)x -3}}

Nancy purchased some bed sheets for $36 they were on sale 25% off what was the original price of the bed sheets

Answers

50% of 36 is 18
25% of 36 is 9
9 + 36 is 45
final answer is $45

Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacobspends a total of $18.25 on two bags of popcorn and three drinks. Zachary spends a total of $27.50
for four bags of popcorn and two drinks.
Write a system of equations that can be used to find the price of one bag of popcorn and the price
of one drink.
Using these equations, determine and state the price of a bag of popcorn and the price of a drink,
to the nearest cent.

Answers

ok lets say
popcorn = x and
drinks = y

Jacob:      2x + 3y = 18.25
Zachary:   4x + 2y = 27.50

ok now you have to use these 2 equations to get the answer

4x + 2y = 27.50  --->   2y = 27.50 - 4x   --->  y = 13.75 - 2x

2x + 3y = 18.25
2x + 3(13.75-2x) = 18.25
2x + 41.25 - 6x = 18.25
-4x + 41.25 = 18.25
-4x = -23
x = 5.75             One bag of popcorn is $5.75


4x + 2y = 27.50
4(5.75) + 2y = 27.50
23 + 2y = 27.50
2y = 4.50
y = 2.25             One drink is $2.25

Answer:

Popcorn costs: $5.75, and drink costs: $2.25.

Step-by-step explanation:

Taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. Provide Taylor some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)=2x+1g(x)=2x^2+1

Answers

Answer:

f(x)=g(x) at x= 0 and x= 1 and not at x= 3.

Step-by-step explanation:

We have the functions, f(x)=2x+1 and g(x)=2x^2+1.

It is given that,

At x=0, x=1, and x=3, f(x)=g(x)

i.e. 2x+1=2x^2+1

i.e. 2x^2-2x=0

i.e. 2x(x-1)=0

i.e. x= 0 and (x-1)= 0

i.e. x= 0 and x= 1.

Also, after plotting the graphs of both the functions, we see their intersection point are (0,1) and (1,3).

Thus, we get that f(x)=g(x) at x= 0 and x= 1 and not at x= 3.
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