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3 years ago

If you are smart in ranges, graphs, and functions, pls help me out. Look at the screenshot below!

Mathematics

1 answer:

jeka943 years ago

6 0

Answer:

<u>Graph of the equation y = 2/5x - 1</u>

Please check the attached graph of the equation where:

The point (0, -1) represents the y-intercept, it is the point where the line crosses the y-axis.

The point (2.5, 0) represents the x-intercept, it is the point where the line crosses the x-axis.

Step-by-step explanation:

Given the equation

y = 2/5x - 1

<u>Determining the y-intercept:</u>

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As the equation is given such as

y = 2/5x - 1

substitute x = 0

y = 2/5(0) - 1

y = 0 - 1

y = -1

so the ordered pair (0, -1) represents the y-intercept.

Thus, the y-intercept is: -1

<u>Determining the x-intercept:</u>

We know that the value of the x-intercept can be determined by setting x = y and determining the corresponding value of x.

As the equation is given such as

y = 2/5x - 1

substitute y = 0

0 = 2/5x - 1

2/5x = 1

x = 5/2

x = 2.5

so the ordered pair (2.5, 0) represents the x-intercept.

<u>Graph of the equation y = 2/5x - 1</u>

Please check the attached graph of the equation where:

The point (0, -1) represents the y-intercept, it is the point where the line crosses the y-axis.

The point (2.5, 0) represents the x-intercept, it is the point where the line crosses the x-axis.

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And this one :/ I need to find what m<1=

lakkis [162]

The answer is 24° because all three the three angel of the triangle is 180° and u subtract 132 by 180 left with the other two small angel's sum which is 48. rhan u divided by two u get one of the angel which is 24°.

im pretty bad at explaining, hopefully it helps!

5 0

3 years ago

The tubs are similar in shape.

faltersainse [42]

Answer:

The tube are similar in shape.

The height of the small tub is 5 cm.

The volume of the small tube is 150 cm3.

The volume of the large tub is 500 cm3.

Work out the height of the large tub.

Give your answer correct to 3 significant figures.

Step-by-step explanation: Hope this help(:

3 0

1 year ago

Read 2 more answers

Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be

Oksana_A [137]

<h2>Hello!</h2>

The answers are:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.

So,

Tet be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

$x_{FirstCar}=x_o+v*t$

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

$x_{SecondCar}=x_o+(v+14mph)*t$

Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles, so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

$RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph$

Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:

$2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours$

Writing the equation:

$264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph$

So, the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

$SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph$

We have that the speed of the second car is equal to 55 mph.

Hence, the answers are:

$FirstCarSpeed=41mph\\SecondCarSpeed=55mph$

Have a nice day!

7 0

3 years ago

At a local University, it is reported that 81% of students own a wireless device. If 5 students are selected at random, what is

Sphinxa [80]

Answer:

34.87% probability that all 5 have a wireless device

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they own a wireless device, or they do not. The probability of a student owning a wireless device is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$