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2 years ago

What is the solution (x, y) to the system of equations shown?

Mathematics

1 answer:

iren2701 [21]2 years ago

8 0

Answer:

Step-by-step explanation:

Glad to help

If you will have any questions about the way I solved it,

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Tim drove 4 hours at an average speed of 60 miles per hour. How many hours would it take Tim to drive the same distance at an av

lidiya [134]

Answer:

4.8 hours

Step-by-step explanation:

Distance = speed × time

If Tim drove 4 hours at 60 miles per hour

Than he drove a total of 4×60 miles

He drove 240 miles

Time = distance ÷ speed

If he drove 240 miles at 50 miles per hour

Than he took 240÷50 hours

He took 4.8 hours (4 hours and 48 minutes)

5 0

2 years ago

Lucas is keeping track of the total number of miles he runs each week. During the second week, he ran four more than twice as ma

Novosadov [1.4K]

(A) The equation represents the number of miles he ran during the second week is (2m + 4) miles.

(B) The total number of miles that Lucas ran during the first two weeks is m + (2m + 4) ≤ 4m ⇒ m ≥ 4

<h3>What is an equation?</h3>

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Lucas is keeping track of the total number of miles he runs each week.

In the first week, he ran m miles, and in the second week, he ran 4 miles more than twice the miles he ran in the first week.

∴ The equation in terms of m represents the number of miles he ran during the second week is (2m + 4) miles.

Also given, The total number of miles that Lucas ran during the first two weeks is equal to or eight less than four times the number of miles he ran during the first week which is,

m + (2m + 4) ≤ 4m.

3m - 4m ≤ - 4.

- m ≤ - 4.

m ≥ 4. (think of moving the terms to other sides to make m positive).

learn more about inequalities here :

brainly.com/question/28823603

#SPJ1

4 0

1 year ago

marusya05 [52]

Answer:

Find the attached

ii)

The mathematical model that best fits the data is;

The quadratic model

Step-by-step explanation:

A scatter-plot can easily be constructed using applications such as Ms. Excel.

In Ms. Excel, enter the data into any two adjacent columns. Next, highlight the data, then click the insert ribbon and select the scatter-plot option.

Excel returns a scatter-plot chart as shown in the attachment below.

ii)

After obtaining the scatter-plot, we shall need to add a trend line in order to determine the mathematical model that best fits the data given.

Click anywhere inside the chart, then select the design tab under chart tools. Click on the Add Chart element in the upper left corner of the excel workbook and select more trend-line options. This feature will enable us to fit any trend-line to our data.

Select any trend line option ensuring you check the boxes; Display Equation on chart and Display R-squared value on chart.

Find the attached for the various trend-lines fitted.

The mathematical model that best fits the data is;

The quadratic model

Since it has the largest R-squared value of 1.00