Mathematics College

Use the table to write a linear function that relates y to x .

x −2 −1 0 1
y 8 5 2 −1
The linear function is y= ?

Answers

Answer 1

Answer:

The linear function is [tex]y = -3x + 2[/tex]

Step-by-step explanation:

A linear function has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(the value of y when x = 0).

In the table, we have that when x = 0, y = 2

This means that [tex]b = 2[/tex]. So

[tex]y = mx + 2[/tex]

Finding the slope:

We take two points, and the slope is given by the change in y divided by the change in x.

Points (0,2) and (1,-1)

Change in y: -1 - 2 = -3

Change in x: 1 - 0 = 1

Slope: [tex]m = \frac{-3}{1} = -3[/tex]

[tex]y = -3x + 2[/tex]

Related Questions

The ratio of boys to girls in a group is 3:1. If there are 28 more boys than girls, work out how many people there are in total help plz

Answers

Answer:

Step-by-step explanation:

3x=28

x=7

no.of total students=35

3+1=4
28/4=7
3*7=21
1*7=7
28+7=35

PLEASE HELP! i have to turn this in by the end of the day. PLEASE DONT GUESS :)

Answers

1) can’t
2can
3cant
4cant

Two students are reading a novel. Ashley reads 2 pages per day. Carly reads 1 page per day, but she starts early and is already on page 5. When will the two students read on the
same page?

Ashley:p=2d
Carly:p=d+5

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They would on day 4 that they would be on the same page

When Michael was 10 years old, Sam was 14. Sam is now 28 and Michael is 24.

Answers

Answer:

4 years difference

Step-by-step explanation:

If EH = 18 and FG 1 EH, solve for the measure of EG.

Answers

Answer:

Step-by-step explanation:

If its perpendicular, it probably bisects EH, so just split it in half.

which expression is equivalent to 7a-8-12a+4

Answers

Answer:

-5a-4

Step-by-step explanation:

7a-8-12a+4

7a-12a-8+4

=-5a-4

Find the slope of the line that passes through (7, 5) and (4, 1).

ILL GIVE BRAINLIEST TO FIRST PERSON TO ANSWER

Answers

Answer:

Slope=-4/-3

Step-by-step explanation:

x1=7, x2=4, y1=5, y2=1

m=y2-y1/x2-x1

m=1-5/4-7

m=-4/-3

Help help help help please this is due soon

Answers

Answer: (2,-1)

Step-by-step explanation:

Answer:

A'(1, -2)

Step-by-step explanation:

The rule for a rotation by 270° about the origin is:

(x, y) → (y, - x)

Apply the rule to the point A, which has coordinates of (2, 1)

A(2, 1) → A'(1, -2)

Could you help me plz

Answers

Answer:

Step-by-step explanation:

(For a circle)

Circumference formula: π*2r

Area formula: π*r^2

π*2(3) =>6π=>18.84 m

π*(3)^2=>9π=>28.27 m^2

π*2(3.1)=>6.2π=>19.47 m

π*(3.1)^2=>9.61π=>30.19 m^2

Which shows a proportion comparing the rise and run for each of the similar slope triangles,

and the numeric value?

y

Your Answer

?

BC

YZ

YX

b) - B:

d) = 4:2

c) 4 - BA

122

Answers

Answer:

1/2 = 3/6

Step-by-step explanation:

Slope = Rise / Run

Rise = change in yaxis = y2 - y1

Run = change in x axis = x2 - x1

For the smaller triangle :

Rise = MO = 1 unit

Run = NO = 2 units

Thus;

slope = 1/2

For the larger triangle :

Rise = PR = 3 unit

Run = QR = 6 units

Thus ;

Slope = 3/6

Smaller = larger

1/2 = 3/6

Evaluate the expression when b=2 .

b⋅5 =

Answer:

Answers

Answer:

[tex]b*5 = 10[/tex]

Step-by-step explanation:

Given

[tex]b = 2[/tex]

Required

Evaluate [tex]b*5[/tex]

To do this, we simply substitute 2 for b in [tex]b*5[/tex]

[tex]b*5 = 2 * 5[/tex]

[tex]b*5 = 10[/tex]

The result of the expression is 10

If mQOS = 46, and mPOR = 61
and mPOQ = 28, what is mROS?

Answers

Answer:

ROS = 225°

Step-by-step explanation:

The four corners of the squares add up to 360°

Hope it helps you

Angles at a point add up to [tex]360^o[/tex]. The measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]

Given that:

[tex]m\angle QOS = 46^o[/tex]

[tex]m\angle POR = 61^o[/tex]

[tex]m\angle POQ = 28^o[/tex]

The 4 angles (i.e. QOS, POR, POQ and ROS) are all angles at a point (i.e. point O).

This means that we can apply the angle at a point theorem.

The theorem is represented as:

[tex]m\angle QOS +m\angle POR +m\angle POQ + m\angle ROS = 360^o[/tex] --- i.e. angles at a point add up to [tex]360^o[/tex]

So, we have:

[tex]46^o + 61^o + 28^o + m\angle ROS = 360^o[/tex]

[tex]135^o + m\angle ROS = 360^o[/tex]

Collect like terms

[tex]m\angle ROS = 360^o -135^o[/tex]

[tex]m\angle ROS = 225^o[/tex]

Hence, the measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]

Learn more about angles at:

https://brainly.com/question/15767203

Distribute -3(2n + 8)

Answers

Answer:

-6n - 24

Step-by-step explanation:

-3(2n) = -6n

-3(8) = -24

if JK is the midsegment of triangle GHI, find x

Answers

Answer:

C. 11

Step-by-step explanation:

Since JK is a midsegment of ∆GHI, therefore, based in the midsegment theorem:

JK = ½(HI)

HI = 22

Therefore,

JK = ½(22)

JK = 11

Factorise fullyc^3+ c^2

Answers

Answer:

c^2( c+1)

Step-by-step explanation:

c^3+ c^2

The greatest common factor is c^2

c^2( c+1)

Let f(x) be defined on the positive real numbers as follows:

Start with a number x.
Take the square root of the number and add 3 more than the number you started with.
Square the result and add 2 more than the original number.
Finally, divide the result by 2 more than the square of the original number.

Required:
Write a formula for f(x).

Answers

Answer:

[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Step-by-step explanation:

We have to find the formula for f(x)

Let x be the number

According to question

Now,

[tex]\sqrt{x}+x+3[/tex]

Now,

After squaring we get

[tex](\sqrt{x}+x+3})^2[/tex]

Add x+2 to above result then, we get

[tex](\sqrt{x}+x+3})^2+2+x[/tex]

Then,

[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Therefore, the formula for f(x) is given by

[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Chris and Maddie share in the ratio 3:5 How much do they each receive?

Answers

whats the starting anount?

earth is approximately 9 x 10^7 miles from the sun. neptune is approximately 3x10^9 miles from the sun. neptune is approximately _____ times farther from the sun than earth

Answers

Answer:

[tex]33[/tex] times

Step-by-step explanation:

Distance between Earth and the sun [tex](D)[/tex] = 9 × [tex]10^{7}[/tex] miles = [tex]90,000,000[/tex] miles

Distance between Neptune and the sun [tex](d)[/tex] = 3 × [tex]10^{9}[/tex] miles = [tex]3,000,000,000[/tex] miles

Find [tex]\frac{d}{D}[/tex].

[tex]\frac{d}{D}=\frac{3,000,000,000}{90,000,000} =33.3[/tex] ≈ [tex]33[/tex]

Therefore,

Neptune is approximately [tex]33[/tex] times farther from the sun than earth

0.7 is 0.5% of what number?

Answers

...............140...............

140. Hope this helps !!(:

A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?

Answers

Answer:

The difference is 10,400$.

Step-by-step explanation:

$61,000-$50,600=$10,400

what are composite numbers out of 49, 35, 32, 41, and 47

Answers

41 and 47 because there is no multiplication fact for those numbers

Step-by-step explanation:

Composite numbers are 32,35,and 49 .

I hope it's helpful!

Select the correct answer. If and , what is the domain of f(x) ÷ g(x)? A. all values of x B. (, -1), (-1, 2), and (2, ) C. (, 2) and (2, ) D. (, -1] and [2, )

Answers

Answer:

Step-by-step explanation:

Answer:

(-∞, -1) (-1, 2) (2, ∞)

Step-by-step explanation:

2. Using the ruler below, construct a triangle that has side lengths of 3 cm, 4 cm, and 5 cm.
triangle does this appear to be? Verify by using your protractor to measure angles.
What type of

Answers

Step-by-step explanation:

if to apply the Piphagorean theoreme, then one of the angles is 90° (opposite to the side with the length 5):

3²+4²=5²; ⇔ 9+16=25.

Which is bigger 1/4 or 0.21

Answers

Answer:

1/4

Step-by-step explanation:

1/4=0.25

What is the perimeter of the figure

Answers

Answer:

38m

Step-by-step explanation:

the top side is equal to

2 + 5 + 1 = 8

the perimeter:

9 + 7 + 8 + 2 + 4 + 5 + 2 + 1 = 38

what is the value of the y coordinate of point A

Answers

Answer:

E on Edge

Step-by-step explanation:

Write the number in standard form and expanded form. Three million four hundred eighty- seven thousand six hundred fifty-one

Answers

Answer:

down below

Step-by-step explanation:

3,487, 651

(3 x 1,000,000) + (4 x 100,000) + (8 x 10,000) + ( 7 x 1,000) + (6 x 100 ) +

(5 x 10) + (1 x 1)

A tree grows at a rate of 30 cm per year. If the tree is 5 meters tall
now, how tall will it be in 4 years?
Hint: Find the relationship between centimeters and and meters.

Answers

Answer:

Step-by-step explanation:

30 cm per year

now the tree is 5m

in 4 years the tree grew 4*30=120cm=1m 20 cm

the tree is 5+1.20 cm=6.20m tall

Enter your answer and show all the steps that you use to solve this problem in the space provided.
A graph with horizontal axis x and vertical axis y. Polygon WXYZ is plotted at the following points. W: left-parenthesis a comma 4b right-parenthesis. Z: left-parenthesis 0 comma b right-parenthesis. X: left-parenthesis 2a comma b right-parenthesis. Y: left-parenthesis a comma 0. Two dotted perpendicular lines WY and XZ are shown within the polygon.

Write a coordinate proof of the following theorem.

If a quadrilateral is a kite, then its diagonals are perpendicular. 60 POINTS

Answers

Answer:

sorry can u add a picture?

Step-by-step explanation:

if there is one sorry...

PLEASE HELP! i have by the end of the day to turn this in. PLEASE DONT GUESS

Answers

Answer: See step by step

Step-by-step explanation: Angle 2 and 3 are vertical angles since they both share a vertex and has cross intersecting lines. Angle 6 and 7 are supplementary angles because they forma linear pair.

Answer:

I have multiple answers for this.

Verticle Angles: 2 &4, 3&1, 6&8, 7&5

Supplementary Angles: 2&1, 2&3, 3&4, 1&4, 6&7, 7&8, 6&5, 5&8

Step-by-step explanation:

Verticle angles are aross from one another, not next to each other, while the Supplementary angles ARE next to each other and not across from one another. I hope this helps you :)

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Use the table to write a linear function that relates y to x . x −2 −1 0 1 y 8 5 2 −1 The linear function is y= ?

Answers

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Use the table to write a linear function that relates y to x .

x −2 −1 0 1
y 8 5 2 −1
The linear function is y= ?