Mathematics High School

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer 1

Answer:

y= 8x +7

Step-by-step explanation:

slope-intercept form:

y= mx +c, where m is the gradient (or slope) and c is the y-intercept.

Since it is a linear function, the gradient of any 2 points would be equal.

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Thus, gradient of the line

[tex] = \frac{39 - 23}{4 - 2} \\ = \frac{16}{2} \\ = 8[/tex]

Subst. m=8 into the equation:

y= 8x +c

To find the value of c, substitute a pair of coordinates.

When x=0, y= 7,

7= 8(0) +c

c= 7

Thus, the equation of the linear function is y= 8x +7.

Related Questions

which of the following is a solution to

Answers

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[tex]x < - 3 \: \: \: and \: \: \: x > 4[/tex]

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A company charges an initial fee plus an hourly rate to rent scooters. This table
shows the total cost to rent a scooter for different amounts of time.
Hours
Total Cost
3=$25
5=$35
7=$45
What is the hourly rate (in dollars) that the company charges to rent a scooter?

Answers

Answer:10

Step-by-step explanation: it adds 10 every 2 hours

The hourly rate is $5 per hour that the company charges to rent a scooter.

What is rate?

Rate is a measurement to determine the change in one quantity with respect to another quantity.

Given that,

Company charges initial fees, and hourly rate to rent scooter,

Also given,

Cost of scooter for 3 hours = $25,

Cost of scooter for 5 hours = $35,

And cost of scooter for 7 hours = $45

From the given information,

The cost of scooter for 2 hours = $10

Cost of scooter for 1 hour = $5

Hourly rate of scooter that company charges to rent a scooter is $5.

To know more about Rate on:

https://brainly.com/question/16150007

#SPJ2

Help plz someone help me plz ty

Answers

Answer: 18.75 for each girl

Step-by-step explanation:

First you take the unit rate 2.50 multiply by 5.

2.50 x 5 = 12.50

12.50 x 3 = 37.50

37.50 / 2 = 18.75

10 1/2 x 1/3 help me pls

Answers

Answer:

The answer is 3.5

Step-by-step explanation:

Hope this helps :)

what is 3/4 x 2 5/6 please help me

Answers

Answer:

2 1/8

Step-by-step explanation:

The equation Y+3=5(x-2)
goes through with point?
(2,-3)
(3,-2)
(-2,3)
(-3,2)

Answers

Answer:

(2, -3)

Step-by-step explanation:

Well the equation is y - y1 = m ( x - x1)

-3 = y1

2 = x1

(2, -3)

Answer:

(2,-3)

Step-by-step explanation:

The given equation is in point-slope form. That is,

[tex]y-y1=m(x-x1)[/tex]

[tex]x1[/tex] and [tex]y1[/tex] is a point, while [tex]m[/tex] is the slope.

So, [tex]y1=-3[/tex] and [tex]x1=2[/tex].

The point that this equation passes through is (2,-3).

I hope this helps!

Devin and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be
one week long, another two days, and the other two weeks.
Оа
ob
Factorial; 5040 possible choices
Fundamental Counting Principle; 196 possible choices
Combination; 35 possible choices
Permutation; 210 possible choices
Od

Answers

Answer:210

Step-by-step explanation:

Please help! Due tonight!

Answers

Answer:

x = square root of 119

Step-by-step explanation:

Because it is only a little bigger than the side it opposes

Pythagoras theorem: a^2 + b^2 = c^2
a = 5, b = ?, c = 12
(5)^2 + b^2 = (12)^2
25 + b^2 = 144
B^2 = 119
Square root of 119
The answer is D

If y = –2 whenx
1, find xwhen y = 4

Answers

Answer:

x=-1/2 decimal form -0.5

Step-by-step explanation:

Multiply -2 and 1 then divide by 4,-2/4. x = −1 /2

mx+b=chiotx46,6 chihuahua

What’s the algebraic expression for 9,12,1518

Answers

Answer:

Just getting points i hope u find the answer tho :))

Step-by-step explanation:

Match each number with its place in order from smallest (1st) to largest (6th).

1. 6th
-84
2. 4th
-80
3. 3rd
90
4. 1st
-56
5. 2nd
48
6. 5th
59
can anyone help me with this please

Answers

90 would be the largest then 59,48, -56, -80, and leaving -84 to be the smallest

HELLLLLLLLLLLLLPPPPPPPPPPPPP please

Answers

It’s 4 2/3 in Mixed number and 14/3 in exact form.

When converting 16/3 from improper to a mixed number, what will the whole number be? first one will get mark brainlist

Answers

Answer: 5 1/3

Step-by-step explanation:

- 12 x (- 8)

plz help ASAP

Answers

Answer:

Its 96 hope it helped :)

Step-by-step explanation:

Answer:

96x

Step-by-step explanation: (2 negatives make a positive)

1. multiply the common factors first

-12x (-8)

(-12)*(-8) = 96

2. now you bring down the X and multiply X to 96

x(96) = 96x

HURRYYY HELPP!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?

Answers

Answer:

Step-by-step explanation:

there is a 30% sale today. what would the shoes that normally cost $125 now cost?

Answers

Answer:

$37.50

Step-by-step explanation:

$125 times30%=$37.50

Container A and container B have leaks. Container A has 800 ml of water, and is

leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute.

How many minutes will it take for the two containers to have the same amount of

water?

**Write an equation to represent the situation (first blank). Use the variable m, for

minutes.

**Then solve for m (second blank).

**Finally, use your solution to determine the water level at that time (third blank).

The equation

can represent this situation. It will take

minutes for the two containers to have the same amount of water. At this time,

both containers will have ml left.

Answers

Answer:

a) 50 minutes

b) The water level at 50 minutes for Container A and B would be 500ml

Step-by-step explanation:

a) Let number of minutes at which both containers leak be represented by m.

Container A has 800 ml of water, and is leaking 6 ml per minute.

800ml - 6ml × m

800 - 6m

Container B has 1000 ml, and is leaking 10 ml per minute.

1000ml - 10ml × m

1000 - 10m

How many minutes will it take for the two containers to have the same amount of water?

Container A = Container B

800 - 6m = 1000 - 10m

Collect like terms

-6m + 10m = 1000 - 800

4m = 200

m = 200/4

m = 50 minutes

It will take 50 minutes for the two containers to have the same amount of water.

b) Finally, use your solution to determine the water level at that time.

Since m = 50 minutes

Container A = Container B

800 - 6m = 1000 - 10m

800 - 6 × 50 = 1000 - 10 × 50

800 - 300 = 1000 - 500

500 ml = 500 ml

Therefore, the water level at 50 minutes is 500 ml

Here are 36 carpenters on a construction crew. On a certain day, 29 carpenters were present. Which proportion can be used to determine the percent of carpenters that were present?

Answers

Answer:

80.6%

Step-by-step explanation:

Given that :

Total construction crew = 36

Number present in a certain day = 29

Percentage present on that day :

(Number present / total number) * 100%

(29 / 36) * 100%

0.8055555 * 100%

80.555%

= 80.6%

Every morning for the past 12 days, Beth used Two-thirds of a cup of milk on her cereal. To determine how much milk she used in total, she set up the equation, Two-thirds times 12 = question mark ?. What is the total amount of milk that Beth used

Answers

Answer:

It would be 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The nth term of a sequence is 3−2n

Work out the 8th term of the sequence

Answers

Answer:

-13

Step-by-step explanation:

3-2n

3-2×8

3-16

-13

How do you Solve 3x-12= 3x+4? Please explain how you did it.

Answers

Answer:

Step-by-step explanation:

There are no values of

that make the equation true.

No solution

The number 1,134 is divisible by all of the following except
A.3
B. 6
C. 9
D. 12
E. 14

Answers

Answer:

1,134 is not divisible by 12

Answer:

I think is: D. 12

Step-by-step explanation:

If m∠BEF = 100 and m∠CBE = 75, what is m∠DAG?

Answers

Answer:

m<DAG=25°

I want to explain why but I'm feeling too lazy right now. Basically by using vertical angles theorem and definition of congruent angles I solved it

Step-by-step explanation:

please help me solve this problem.

Answers

Answer:

Step-by-step explanation:

There is no solution

Answer: There is no such value of X.

Step-by-step explanation:

If you get this wrong, im sorry but im sure that its the right answer.

Let h(x)=2x−5 and g(x)=−3x+1.Find h(x)+g(x).? help please

Answers

This may look a little confusing but all you have to do is plug the equation given for h(x) which is 2x-5 in to the h(x) area in the equation where it says h(x) + g(x).

So far that’s (2x-5) + g(x)

Then,

Do the same with equation given for g(x) which is now,

(2x-5) + (3x+1)

Then solve,

2x - 5 + 3x + 1
2x + 3x- 5 + 1
5x - 4

Therefore the answer is 5x - 4.

x
y
- 3
-11
- 2
- 8
- 1
- 5
0
- 2
1
1
2
4
3
7

Which equation below best represents the relationship between corresponding values in the table above?

y = 2x - 3
⊝

y = x + 4
⊝

y = x + 3
⊝

y = 3x - 2
⊝

Answers

Answer:

Step-by-step explanation:

If (x^2 – 4) ÷ (x + 2) = x -2, which polynomial should fill in the blank below?
(x + 2) × ____= x^2 - 4
O x² – 4
O x-2
O x +2
O x² – 2

Answers

Answer:

x - 2

Step-by-step explanation:

(x + 2)(x - 2) = x^2 - 4

Johny and Rahul divided the benefit of the business in the ratio 7:9. If
Rahul got 4878 rupees as benefit did Johny get?

Answers

Answer:

Step-by-step explanation:

7:9 = x:4878

4878/9 times 7

3794 would be your answer

Answer:

3,794 rupees

Step-by-step explanation:

Johny got 7 parts of the benefit while Rahul got 9. This can be represented as a fraction: 7/9

To solve this problem, we can use cross multiplication, where x represents the amount of rupees Johny got:

[tex]\frac{7}{9}[/tex] = [tex]\frac{x}{4878}[/tex]

Multiply 7 by 4,878: 34,146

Multiply 9 by x: 9x

Now the equation looks like this:

9x = 34,146

Divide both sides of the equation by 9 to isolate the x:

9x/9 = 34,146/9

x = 3,794

Johny got 3,794 rupees.

Date
Page
A rectangular meadow has an area of 28 square
meter and perimeter 22 m, find the length and breadth.

Answers

Answer:

perimeter =22m

area=28square meter

perimeter of rectangle=4l

22m=4l

22÷4=l

5.5=l

l=5.5m

area of rectangle =l×b

28=5.5×b

28÷5.5=b

5.09=b

b=5.09m

length =5.5m and breadth =5.09m answer !!!!

Im in no rush just need help

Answers

Answer:

1. Right: pointing downwards

Left: pointing upwards

2. Right: pointing upwards

Left: pointing upwards

3. Right: pointing downwards

Left: pointing upwards

4a. True

4b. True

Step-by-step explanation:

When the leading coefficient is negative the equation will either open downwards or the y-values will decrease as the x-values increase. The opposite is true for when the leading coefficient is positive. When the degree is odd one end will point downwards while the other points upwards. When the degree is even, both ends point in the same direction.

I hope this helps :)

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