Find the equation of the linear function represented by the table below in slope-
intercept form.
X
0
1
2
3
4.
у
9
18
27 36
45

Answers

Answer 1

Answer:

y = 9x + 9

Step-by-step explanation:

so the points are:

(0,9) (1, 18) (2, 27) (3, 36) (4, 45)

since the y intercept is when x is 0 write it in the equation!

y = mx + 9

now to solve for slope

use the equation y2 - y1/ x2 - x1 or y1 - y2/x1 - x2

sooo use (1, 18) and (2, 27)

27 - 18/2 - 1

9 / 1 = 9

y = 9x + 9

check with the points you did not use!

(3, 36)

36 = 9(3) + 9 ?

36 = 27 + 9?

36 = 36


Related Questions

what is an equation of the line that passes through the point (5, -7) and has a slope of 0

Answers

Answer:

y=-7

Step-by-step explanation:

Simple enough. Slope of zero means that x does not have to be determined. So if you just put the y coordinate in a slope of zero, you should get your answer.

The equation of line is y = -7.

Equation of line is,

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

Where m is slope.

Given that, slope is 0.

Equation of line become, [tex]y=0*x+c=c[/tex]

And Line passes through the point (5, -7)

Substitute these point,

       [tex]c=-7[/tex]

Hence, equation of line is, [tex]y=-7[/tex]

Learn more:

https://brainly.com/question/17003809

                 

please answer these ignore the answers already there

Answers

Answer:

first pic- 1. slope is -2/3, y-inter is 1, y=-2/3x+1

2.slopeis 3/-2, y-inter is -1, y=3/-2x+(-1)

Answer:

second pic- 1. slope is -3/-2, y-inter is 0, y=-3/-2x+0

2. slope is 1/2, y-inter is -1, y=1/2x+(-1)

Please assist, no links

Answers

Answer:

[tex]\frac{1}{a^{7} }[/tex]

Step-by-step explanation:

Use this rule:

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

So, this gives you

[tex]a^{-13+6}[/tex]

This equates to:

[tex]a^{-7}[/tex]

However, we cant leave the exponent negative, so we use this formula:

[tex]a^{-b}=\frac{1}{a^b}[/tex]

So, the answer is:

[tex]\frac{1}{a^{7} }[/tex]

Answer:

There is no denominator a^-7

The power is positive 1/a^7

Step-by-step explanation:

Remark

We are not told what the restrictions on the power are. Here are the possibilities.

There is no denominator.The power must be positive.

So I will give the answer to both conditions. You will have to choose.

There is no denominator

That means that The powers are subtracted

Multiply numerator and denominator by a+6

a^- 13 * a^6

=========

a^-6 * a^6

To start a^(-6 + 6) = a^0 which = 1. That is not written, so you are left with a^ (-13 + 6) = a ^ -7

The answer must have a positive power.

Multiply the numerator and denominator by a^13.

numerator

a^-13 * a^13

a^(-13 + 13)

a^0

1

So we are left with 1 in the numerator.

a^-6 * a^13

a^(-6 + 13)

a^7

Answer: what is left is  1/a^7

BRAINLIEST FOR CORRECT ANSWER!

Ethan bounces a tennis ball on the ground. Each time the ball bounces, it's height gets cut down until it comes to a stop. Ethan recorded the height of the tennis ball on each bounce as seen in the table above.
List the missing terms from the table.

Answers

Using a geometric sequence, it is found that the missing terms of the table are, respectively, given by:

[tex]243, 1, \frac{1}{81}[/tex]

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

From the table, we get that the common ratio is of [tex]q = \frac{1}{3}[/tex], hence each term is the previous divided by 3, or the next multiplied by 3. Hence, the missing terms are given by:

[tex]3 \times 81 = 243[/tex]

[tex]3 \times \frac{1}{3} = 1[/tex]

[tex]\frac{1}{27} \times \frac{1}{3} = \frac{1}{81}[/tex]

More can be learned about geometric sequences at https://brainly.com/question/11847927

Can't figure this out, have been trying for a half hour now.

Answers

Answer:

45

Step-by-step explanation:

this is correct this is correct

What is the X and Y of this??????

Answers

Answer:

  see attached for a graph

Step-by-step explanation:

It looks like you want to plot a graph of the function. For a piecewise function like this one, the effort is divided into pieces. The "or equal to" part of the comparison symbol tells you the end value is included in that interval.

__

For the piece between x=-8 and x=-6, you can find the y-values by evaluating the function for those x-values.

For x = -8: y = -1/2(-8) = 4.

For x = -6: y = -1/2(-6) = 3.

So, the left piece can be plotted by drawing a line segment between points (-8, 4) and (-6, 3).

__

For the piece between x=-6 and x=1, you can do the same thing:

For x=-6: y = -(-6) -3) = 6-3 = 3

For x=1: y = -(1) -3 = -4

So, the right piece can be plotted by drawing a line segment between points (-6, 3) and (1, -4). We notice that (-6, 3) is already the end point of the first piece, so the function is continuous at x=-6. (Sometimes there is a discontinuity between pieces. Not here.)

You can also plot the right piece by recognizing it is a line with a y-intercept of -3 and a slope of -1. That is, point (0, -3) will be on that line, and it will have a "rise" of -1 for each "run" of 1 (to the right).

__

A graph is shown. We have made the pieces different colors, so you can see what they are. And we have plotted a filled dot at (-6, 3) to indicate that point is part of the function definition. (The dot is unnecessary.)

Find the missing length.

Pythagorean Theorem:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]​

Answers

Answer:

[tex] \huge \boxed{c = 4 \sqrt{2} }[/tex]

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

c² = a² + b²

where

c is the hypotenuse

So from the question we have

[tex] {c}^{2} = {4}^{2} + {4}^{2} \\ c = \sqrt{16 + 16} \\ c = \sqrt{32} \: \: \: \: \: \: \: \: \: \\ \\ \\ c = 4 \sqrt{2} \: \: \: \: \: \: \: \: [/tex]

Hope this helps you

Roberto wrote a sentence that describes an equation.

Half of a number is 45.

Which choice shows Roberto’s equation and its solution?
2 x = 45; x = 90
StartFraction 45 Over 2 EndFraction = x; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 90

Answers

Answer: D: x/2 = 45; x = 90

Step-by-step explanation:

half of a number is 45:

x/2 = 45

.: x = 90

Your answer is D

Answer:

D

Step-by-step explanation:

Write as a product of two binomials. 22 - 2x + 2 - 2

Answers

It’s 22-2x, I think...

Which of these statements best describes a biased sample?




A. The sample is small



B. The sample has results that are incorrect predictions



C. The sample does not accurately represent the population



D. The sample was chosen randomly

Answers

A biased sample is best described by:

C. The sample does not accurately represent the population.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample, which is a group of members of this population. The sample has to be representative of the population, that is, it has to involve all of it's groups. If it does not involve all the groups, it is not an accurate representation of the population, and is called biased, hence option C is correct.

More can be learned about sampling at https://brainly.com/question/25122507

can you please help me with this question

Answers

A has the larger area because the area is 15

What is the product of 3/5x4/9

Answers

Answer: 4/15

For fraction multiplication, multiply the numerators and then multiply the denominators

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 12 and 45 using

GCF(12,45) = 3

Therefore: it's 4/15

Hope this helps (>'-'<)

Order the numbers from greatest to least. [-0.5, 1.5, 0, -5, 1.25]

a. 0, 1.5, 1.25, -0.5, -1.5 b. -0.5, -5, 0, 1.5, 1.25

c. 1.5, 1.25, 0, -5, -0.5 d. 1.5, 1.25, 0, -0.5, -5

Answers

The answer would be D

Answer:

d

Step-by-step explanation:

-5 is the least because it is the furthest from zero, -0.5 is greater than -5 because it is closer to zero, zero is zero, 1.25 is less than 1.5

Which is one reason why this expression is equal to 0 0 ? Math item stem image CLEAR CHECK The same number appears in the numerator and denominator. The sum of any number and its opposite is 0 0 . The expression does not equal 0 0 . The product of any numb

Answers

Answer:

sorry i didnt understand try explain more better

Answer:

Answer is c

Step-by-step explanation:

F(x) = - 2x -4
What is x when F(x) = 10.
Your answer:
a. 11
b. -8
C.-7

Answers

Answer:

C

Step-by-step explanation:

f(x) = -2x-4

When, f(x) = 10,

-2x-4 = 10

-2x = 14

x = -7

Answer is C

In ΔOPQ, \text{m}\angle O = (2x-5)^{\circ}m∠O=(2x−5) ∘
, \text{m}\angle P = (3x-8)^{\circ}m∠P=(3x−8) ∘
, and \text{m}\angle Q = (10x-17)^{\circ}m∠Q=(10x−17) ∘. What is the value of x?x?

Answers

Answer: 14

Step-by-step explanation:

After multiplying a calculator screen displays the answer is shown below. How would you write this number in standard form? And say your answer in the box. Include commas in your answer.
*you’ll receive brainliest & 15 points for answer quickly & correctly!*

8,234 E14

Answers

Answer:

In standard from, the value will be 8.234 * 10^17

Step-by-step explanation:

The answer shown on the screen of the calculator after multiplying is;

8,234 E14

This is same as;

8,234 * 10^14

In the stands from, this will be;

8.234 * 10^3 * 10^14 = 8.234 * 10^17

need some help with the question in the image​

Answers

Step-by-step explanation:

cost of 1 kg of jam = x

cost of 1 kg of butter = y

3x + 2y = 29 .....1

6x + 3y = 54 .....2

.....1 × 2 both sides of equation

6x + 4y = 58 .....3

.....3 - ......2

y = 4

replace y = 4 in 1......

3x + 8 = 29

x = 7

WILL GIVE BRAINIEST AND EXTRA 100 POINTS FOR ANSWERING THIS QUESTION CORRECTLY!!

Answers

Answer: y = (1/7) x - 2

Step-by-step explanation:

The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

The slope of an equation is the change in y over the change in x.

We can see from the image that every time the line increases by 1 in the rise (y), it increases by 7 in the run (x).

Therefore, the slope is 1/7.

The y-intercept of a line is the point at which it intercepts the y-axis.

From the image, we can see that it intersects at the point (0,-2)

Therefore, the slope-intercept form is y = (1/7) x - 2

Take two points

(0,-2)(-7,-3)

Slope:-

[tex]\\ \sf\longmapsto \dfrac{-1}{-7}=\dfrac{1}{7}=m[/tex]

Equation in point slope form

[tex]\\ \sf\longmapsto y+3=1/7(x)[/tex]

[tex]\\ \sf\longmapsto y=1/7x-3[/tex]

7. Write the explicit formula for the geometric
sequence 32, 16, 8, 4,...

Answers

Answer:

The sequence is the ratio of 4:8, or 16:32. This is because the sequence needs to be divided into 2 different factors in order for it to match. The sequence is...

add 4, add 8, add 16, continue on.

The formula is...

4 * x = sequence

In this case, x is the increasing factor. I substituted it due to the fact that it's a constantly increasing number, not just a straight-up number we can declare.

A measurement is taken to be 13.6 in. and the absolute error is 0.05 in. What
is the percent of error? Round off your answer to 3 decimal places. *

Answers

Given parameters:

True value of measurement  = 13.6in

Absolute error = 0.05in

Unknown:

Percent of error = ?

Solution:

  Error is an inconsistency introduced into a particular data set or reading.

% error = [tex]\frac{absolute error}{true value}[/tex] x 100

  % error = [tex]\frac{0.05}{13.6}[/tex] x 100  = 0.368%

Percent error  is 0.368%

A scale drawing for a plot of land is shown below. In the drawing, 3 cm represents 4 m. Assuming the backyard is rectangular, find the area of the real backyard

Answers

Answer:

[scale]=[drawing]/[real]-----------> [real]=[drawing]/[scale]

scale=3 cm/ 4 m------> 0.75 cm/m

the dimensions of backyard in the drawing are 9 cm x 6 cm

step 1

find the real dimensions of backyard

for 9 cm

[real]=[drawing]/[scale]

[real]=[9]/[0.75]----------> 12 m

for 6 cm

[real]=[drawing]/[scale]

[real]=[6]/[0.75]----------> 8 m

so

the real dimensions of backyard are 8 m x 12 m

[the area of the real backyard ]=8*12--------> 96 m²

the answer is 96 m²

A snowstorm dumped 18 inches of snow in a 12-hour period. How many inches were falling per hour?

Answers

Answer:

1.5 inches

Step-by-step explanation:

18 divided by 12 = 1.5

Which statements about mass are true?

Select each correct answer.

One gram is 1,000 times greater than one kilogram.
Grams are greater than kilograms.
A gram is smaller than a kilogram.
One kilogram is 1,000 times greater than one gram.
One gram is 100 times less than one kilogram.
One kilogram is 100 times greater than one gram.

Answers

Answer:

1=false 2=false 3=true 4=true 5=false 6=false

Step-by-step explanation:

find the value of x. show your work

Answers

Answer:

X = 6

Step-by-step explanation:

Since the two angles are equal, in order to solve for X, you set the two equal:

40° = (4 + 6x)°

-4      -4

36° = 6x

36°/6 = 6x/6

6 = X

X = 6

Hope this helps!

I left the work too ;)

The ozone layer helps to sustain terrestrial life by __________.
a.
absorbing incoming UV radiation
b.
keeping levels of ozone in the troposphere low
c.
maintaining the Earth's temperature structure
d.
all of the above


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

the answer is D.all of the above

Step-by-step explanation:

The ozone layer helps to sustain terrestrial life by absorbing incoming UV radiation.

Option A is the correct answer.

What is an ozone layer?

The ozone layer is a layer of gas in the Earth's stratosphere that helps to protect the planet from the harmful effects of ultraviolet (UV) radiation from the sun.

We have,

UV radiation can cause damage to living organisms, such as skin cancer, cataracts, and other health problems.

The ozone layer absorbs much of this radiation, preventing it from reaching the Earth's surface and thus helping to sustain terrestrial life.

Option B is incorrect because the ozone layer is located in the stratosphere, above the troposphere.

Option C is incorrect because while the ozone layer can play a role in maintaining the Earth's temperature, its primary function is to absorb UV radiation.

Option D is incorrect.

Thus,

The ozone layer helps to sustain terrestrial life by absorbing incoming UV radiation.

Learn more about the ozone layer here:

https://brainly.com/question/14330630

#SPJ5

Write the 4th term of the sequence defined by the explicit rule, f(n) = 3n^2 + 7. (n^2 means n squared)

Answers

Answer:

55

Step-by-step explanation:

I'm assuming n is the term #..

[tex]f(4) = 3(4)^2+7[/tex]

f(4) = 3 * 16 + 7

f(4) = 48 + 7

f(4) = 55

What is the slope (3, 0) 5,14)

Answers

Answer:

7

Step-by-step explanation:

y2-y1/x2-x1=  14-0/5-3  14/2=7

Nico did 78 sit-ups in 2 minutes.

What is the Unit Rate?

sit-ups per minute

At this rate, how many sit-ups can Nico do in 5 minutes?

Answers

78 sit ups in 2 minutes

so

= 78 : 2 sits in 1 minute = 39 sits up per minute

x 5 = 195 sit ups in 5 minutes

Answer:  39 situps per time

Step-by-step explanation:

2. A sandwich shop has 48 pounds of sliced turkey.
Each 8-inch sub sandwich is made with pound
of turkey. How many 8-inch sandwiches can the
shop make?
A. 80
B. 72
C. 48
D. 32​

Answers

Answer:

the answer is C. 48

Step-by-step explanation:

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