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3 years ago

Write an equation for the line on the graph below:

Mathematics

2 answers:

dangina [55]3 years ago

8 0

Answer:

x=-1

Step-by-step explanation:

Dvinal [7]3 years ago

8 0

Answer:

x = -1

Step-by-step explanation:

Since this line only passes through x-axis, it doesn't have a y-intercept.

The line only passes through -1, hence:

$x = -1$ is the equation of the line.

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One number is 3 less than 5 times another number. The sum of the numbers is 27. What are the two numbers? Enter your answers in

kaheart [24]

x ,y are the numbers

x = 5y-3

x+y = 27

substitute first equation into the second

(5y-3) +y =27

combine like terms

6y-3=27

add 3 to each side

6y=30

divide by 6

y=5

x = 5y-3

x=5*5-3

x=22

the two numbers are 22 and 5

5 0

3 years ago

Substitution for:<br> X-5y=10<br> 2x-10y=20

sergey [27]

Since you need an isolated variable to use the substitution method, we need to re-arrange one of the equations. This will probably be easiest to do with the first one.
Add 5y to both sides of the first equation.
x=10+5y
Now, in the second equation, put in 10+5y in any spot that has an x.
2(10+5y)-10y=20
Distribute the 2 to both numbers in the parenthesis.
20+10y-10y=20
Combine like terms.
20=20
This means that the two equations are actually the same. You can see this if you multiply the whole first equation by 2
2(x-5y=10)
2x-10y=20, which is the same as the second equation. Therefore, the two equations are actually the same one.

5 0

3 years ago

An instructor wants to write a test with 25 questions where each question is worth 3, 4, or 5 points based on difficulty. He wan

irakobra [83]

ANSWER

Find out the how many 3, 4, and 5 point questions could there be.

To proof

Let us assume that the 3 points based question be = x

Let us assume that the 4 points based question be = y

Let us assume that the 5 points based question be = z

As given

An instructor wants to write a test with 25 questions

than the equation become in the form

x + y + z = 25

he quiz to be worth a total of 100 points.

than the equation is becomes

3x + 4y + 5z =100

As given

He wants the number of 3-point questions to be 4 less than the number of 4-point questions

x = y -4

Than the three equation are

x + y + z = 25 ,3x + 4y + 5z =100 and x = y -4

put x = y -4 in the x + y + z = 25 ,3x + 4y + 5z =100

than

2y + z = 29, 7y +5z= 112

multiply 2y + z = 29 by 5 and subtracted 7y +5z= 112

10 y -7y + 5y -5y = 145 -112

3y = 33

$y = \frac{33}{3}$

y =11

put in the x = y -4

x = 11-4

x= 7

put the value of x ,y in the x + y + z = 25

7 + 11 +z =25

18 +z = 25

z = 25 -18

z=7

therefore

numbers of the 3 point question be = 7

numbers of the 4 point question be = 11

numbers of the 5 point question be = 7

Hence proved

3 0

3 years ago

A graduate student is designing a research study. She is hoping to show that the results of an experiment are statistically sign

mamaluj [8]

The required type of p-value would she want to obtain is small p-value.

<h3>What is hypothesis test?</h3>

Hypothesis testing is a type of measurable surmising that utilizes information from an example to make inferences about a populace boundary or a populace probability distribution. Initial, a speculative supposition that is made about the boundary or dispersion.

<h3>According to question:</h3>

P-value shows that the outcomes are genuinely huge.

P-value in Measurements assists with performing speculation test and it assists with deciding the meaning of the outcomes.

A little P-value commonly (P<0.05) demonstrates solid proof against the invalid speculation in this way, we reject the invalid speculation, on opposite when P-esteem is enormous we can't dismiss the invalid speculation.

Thus, required answer is small p-value.

To know more about p-value visit:

brainly.com/question/14790912

#SPJ4

3 0

1 year ago

The ratio between the radius of the base and the height of the cylinder is 2:3.if its volume is 1617cm^3,the total surface area

zalisa [80]

The answer is 769.3 cm²

The volume of the cylinder is : V = π r² h
<span>The ratio between the radius of the base and the height of the cylinder is 2:3:
r/h = 2/3
h = 3/2r

V = 1617 cm
</span>π = 3.14

1617 = πr² * 3/2 r
1617 = πr³ * 3/2
1617 * 2/3 = πr³
1078 = πr³
r³ = 1078/π = 1078/3.14 = 343
r = ∛343 = 7 cm

h = 3/2r = 3/2 * 7 = 10.5 cm

The surface area of the cylinder is:
SA = 2πr² + 2πrh
= 2 * 3.14 * 7² + 2 * 3.14 * 7 * 10.5
= 307.72 + 461.58
= 769.3 cm²

5 0

3 years ago

Write an equation for the line on the graph below:​

Write an equation for the line on the graph below: