Misty correctly determined the equation of the linear function represented by the table of values below to be y = negative 2 x + 9 in slope-intercept form by using the ordered pairs (1, 7) and (2, 5).

Answers

Answer 1

Answer:

we can verify that the determined equation is the same as the equation determines by Misty, hence, we conclude that Misty had correctly determined the equation of the linear function.

Step-by-step explanation:

As Misty determined the equation of linear function:

[tex]y=-2x+9[/tex]

We need to check whether she has got the correct equation or not.

As the linear equation passes through the points  [tex](1, 7)[/tex] and [tex](2, 5)[/tex].

Finding the slope:

The slope between two points  [tex](1, 7)[/tex] and [tex](2, 5)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:7\right),\:\left(x_2,\:y_2\right)=\left(2,\:5\right)[/tex]

[tex]m=\frac{5-7}{2-1}[/tex]

[tex]m=-2[/tex]

As we know the point-slope form is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

So, the equation of the line will be:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-5=-2\left(x-2\right)[/tex]

Add 5 to both sides

[tex]y-5+5=-2\left(x-2\right)+5[/tex]

[tex]y=-2x+9[/tex]

From the above calculation, we can verify that the determined equation is the same as the equation determines by Misty, hence, we conclude that Misty had correctly determined the equation of the linear function.


Related Questions

0.6+ 0.003+0.0008 as standard form

Answers

Answer:

0.6038

Step-by-step explanation:

0.6 + 0.003= 0.603 + 0.0008 = 0.6308

ANSWER FAST PLZ!! what does it look like when you take the cumulative exam? Can they see your screen or if you are on your phone? How many questions are there? Plz help, I will help you with whatever you need in return!

Answers

A number professors assign cumulative finals. This means that the material tested on the exam covers all the information from the entire semester. In many ways, cumulative exams aren't only redundant, but set up many students to perform poorly.

Which of the following inequalities has a solution x≥−3
3(x−1)≤4x

x≥x+32

x6≤x2−1

x+4≥x3

Answers

Answer: A

Step-by-step explanation: 3(x-1) becomes 3x -3 ≤ 4x. Put all like variables on the same side, meaning you'll subtract 3x from both sides giving you -3 ≤ x. You can flip the equation around to make it look exactly like x ≥ -3

The inequality 3(x−1)≤4x is showing the solution x ≥−3. The correct option is A.

What is inequality?

inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The inequality 3(x-1) ≤ 4x will be solved as below:-

3(x-1) becomes 3x -3 ≤ 4x. Put all like variables on the same side, meaning you'll subtract 3x from both sides giving you -3 ≤ x. You can flip the equation around to make it look exactly like x ≥ -3. The complete  solution is given below:-

3(x-1) ≤ 4x

3x - 3 ≤ 4x

-3 ≤ 4x - 3x

-3 ≤ x

x ≥ -3

Therefore, the inequality 3(x−1)≤4x is showing the solution x ≥−3. The correct option is A.

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A cellphone store has 120 cell phones in stock. Of these, 45 have keyboards. The manager of the store wants to add more cell phones with keyboards so that 40% of the stock has keyboards.

Answers

Answer:

5

Step-by-step explanation:

Let x be the number of cell phones with keyboards needed.

40% = [tex]\frac{40}{100}[/tex]

[tex]\frac{x+45}{x+120}[/tex] = [tex]\frac{40}{100}[/tex]

x+45 = 40 -----1

x+120 = 100 -----2

You would want to make the total of 1 the same as 2.

1×[tex]\frac{100}{40}[/tex]: 2.5+112.5 = 100 -----3

Now 2 and 3 are equal.

x+120 = 2.5x+112.5

Isolate the x and numbers.

120-112.5 = 2.5x-x

Simplify.

1.5x = 7.5

x = [tex]\frac{1}{1.5}[/tex] × 7.5

x = 5

The manager of the store needs to add 5 more cell phones with keyboards.

A box is 10m long, 8m wide and 1.5m high. What is the quantity of liquid needed to fill the box?​

Answers

Answer:

120

Step-by-step explanation:

10 times 8 times 1.5 equals 120

If ZMK APY, m M = 112 ° , m Y = 41 ° , m K = (13x 37) ° , and m A = (2y + 7) ° , find the values of x and y.


need a answer asap

Answers

Answer

13x-37=112

13x =149

X=11.4

2y+7=41

Y=24

The value of x and y respectively will be 13° and 17°.

Based on the equation that's given in the question, the value of x will be found thus:

13x - 37 = 112

Collect like terms

13x = 112 + 37

13x = 149

x = 149/13

x = 13

Also, note that 2y + 7 = 41, therefore, the value of y will be:

2y = 41 - 7

2y = 34

y = 34/2 = 17°

Therefore, the value of x and y respectively will be 13° and 17°.

Read related link on:

https://brainly.com/question/9402215

plz help asap ////////////////

Answers

Answer:

y= -2x + 80

Step-by-step explanation:

First, you need to find the slope, which can be done by subtracting the change in y over the change in x. The easiest points to pick are (30,20) and (40,0). Do 20-0 which is -20, then divide that by 40-30, and you get -2. Then to find the y intercept, pick a point (like 40,0). Then do 0 = -2(40) + b, and solving for b you get 80.

solve for x. please i need help and please show your work


x/2≥−4

Answers

Answer:

x≥−8

Step-by-step explanation:

x/2≥−4

Multiply each side by 2

x/2 * 2≥−4*2

x≥−8

Which problems will have two decimal places in the product? Mark all that apply.
Group of answer choices

3 × 0.65

4.8 × 2

8.1 × 10

6.1 × 7.3

7.22 × 100

Answers

Answer:

48. x 2

Step-by-step explanation:

4.8 x 2

45 miles per hour What is its rate in feet per second?

Answers

1 mile = 5,280 feet.

45 miles x 5,280 feet = 237,600 total feet.

1 hour = 3600 seconds

237,600/3600 = 66 feet per second.

Answer:

66 feet per second...I think

Step-by-step explanation:

Kinda stuck on this last question

Answers

Answer:

it's c

y < x

y < 2

Step-by-step explanation:

Hope this helps have a nice day!!!

:)

I’m pretty sure it’s it’s C
I hope this helps!!

Hmmmmmmmmmmmmmmmmmmmmmmmmm?

Answers

Answer:

a

Step-by-step explanation:

its an exponential function! when you plug it into the calculator it curves

It’s A it’s easier if you use a Calculator

express 20cm as a percentage of 3m.
give your answer as a mixed number

Answers

Answer:

[tex]6\frac{2}{3}[/tex] %

Step-by-step explanation:

First, convert 3 meters into centimeters.

1m = 100cm

3m = 100 × 3 = 300cm

Now, form the fraction by putting the given value, 20cm, over the total measurement, 300cm.

[tex]\frac{20}{300}[/tex] = [tex]\frac{2}{30}[/tex] = [tex]\frac{1}{15}[/tex]  ⇒ Simplify your fraction to its simplest terms.

Next, multiply your simplified fraction by 100 to get your percentage.

[tex]\frac{1}{15}[/tex] × [tex]100[/tex] = [tex]\frac{100}{15}[/tex] = [tex]6\frac{10}{15}[/tex] = [tex]6\frac{2}{3}[/tex] %   ⇒ Simplify your percentage to its simplest terms.

Hope this helped! I would really appreciate it if you would please mark me brainliest!

20cm as a percentage of 3m as a mixed fraction is 6  2/3 %

let's convert centimetre to metre

1 cm = 0.01 m

20 cm = ?

cross multiply

length in metre = 20 × 0.01 = 0.2 m

Therefore,

0.2 m as a percentage of 3m is as follows:

0.2 / 3 × 100 = 20 / 3 = 6  2 / 3 %

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Write an equation to represent the following statement. j is 25 more than 3 Solve for j​

Answers

Answer:

j=3+25, here's the equation

Step-by-step explanation:

J=28

Answer:

j = 28

Step-by-step explanation:

Since we know that j is 25 more than 3, then we must know that 3+25= J (because J is 25 more/+ than 3) So, we simply solve 25+3 which equals 28.

Find the slope of the line that passes through (6,7) and (10,10)​

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

M=y2-y1/x2-x1

Answer:

4/3

Step-by-step explanation:

Use the formula

x2-x1 over y2-y1

since it goes by (x,y) label the given points

(6,7) and (10,10)​

6 is your first x (x1)

7 is you first y (y1)

onto the next point...(10,10)

10 would be your second x (x2)

and your second y would also be 10 (y2)

Now plug into formula x2-x1 over y2-y1

10-6 over 10-7= 4/3

-----------------------

You could also use a online graphing calculator!

What’s the answer for y = -3x+3

Answers

Answer:

We need more info. We need to know what y equals or what x equals.

Step-by-step explanation:

Answer:

m = -3 For the Slope

3x+ y = 3 For Standard Form

Slope -3 | y - intercept (0,3)

Step-by-step explanation:

Give the multiples of each number. Then find their Least Common Multiple,
1. 3 12
LCM =
2. 4 9
LCM-
3. 8 12
LCM = 24
4. 12 15
LCM =
5. 8 5​

Answers

1. 12
2. 36
3. 24
4. 16
5. 40

a circle has a circumfrence of 28.26units what is the diameter

Answers

Answer:

14.13 is your diameter..

Step-by-step explanation:

Hope this helps u.. ;)

Yesterday the temperature at noon was 23.3°F. By midnight, it had decreased by 30.8°F. What was the temperature at midnight?

Answers

Answer:

hyygyggygggygy

Step-by-step explanation:

tytyuhuhu787.

Hannah and Jayna have disposable cameras . The table and descriptions show the number of shots left on their cameras as a function of time.

Answers

Answer: Both functions have a negative rate of change.

Step-by-step explanation:

The numbers are decreasing. And I just got it right.

Answer: the answer is is both functions have a negative rate of change

Step-by-step explanation:

Paul bought 4 soccer balls at the sports supply store if each soccer ball cost $1.05 and he paid with a twenty dollar bill how much change should he get back

Answers

Answer:

Step-by-step explanation:

1soccer=$1.05

4soccer=4*1.05=4.2

20-4.2=$15.8

he will get $15.8

Answer:

15.8

Step-by-step explanation:

1.05×4=4.2

20-4.2=15.8

Solve 2x>8 or 2x<4
Please hurry

Answers

Answer: x>4 and then x<2

Step-by-step explanation: divide by 2 on both sides

Answer:

x = 5

Step-by-step explanation:

2 * 5 = 10 which is greater than 8

10 > 8

Ronald said that (8.0 × 107) + (6.2 × 103) = 14.2 x 1010. Amy added the numbers too and said the sum was 8.00062 × 107. Ronald then added the numbers a second time and came up with his original result. Whose solution is correct? Ronald is correct because 80,000,000 + 6,200 = 142,000,000,000.

Yes No B
Amy is correct because adding the decimals and then adding the exponents is not the correct procedure for adding numbers in scientific notation.

Yes No C
Amy is correct because 6.2 × 103 is a much smaller number than 8.0 × 107, so the sum of the two numbers cannot be as large as a decimal times 1010.

Yes No D
Ronald is correct because when you add the exponents in 107 and 103, you get 1010.

Yes No

Answers

Answer:

no, yes, yes, no

Step-by-step explanation:

Answer :

A)No

B)Yes

C)Yes

D)No

Explanation :

I took the test

what is the value of angle e ?

Answers

Answer:

4 units pls mark me brainliest i really need it thanks

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Victor bought 3 baseballs at the sports supply store if each beseball cost $1.50 and he paid with a twenty dollar bill how much change should he get back

Answers

Answer:

$15.50

Step-by-step explanation:

20-1.50x3=20-4.50=15.50

why should we not lower taxes for the wealthy americnas

Answers

Answer: no

Step-by-step explanation:

what is 0.46 as a fraction?

Answers

Answer: 46/100 or in its simplest form it would be 23/50

Step-by-step explanation:

Answer:

46/100

Step-by-step explanation:

It's just how you say the number.   forty six hundredths right,

Pls mark Brainliest

Straight line AB is perpendicular to the straight line joining p(-6,-9) and Q(3,-12). Find the gradient of AB

*i need help*π_π
*is the answer in the picture correct? *​

Answers

Yes the answer for it is -1/3

Which graph represents the polynomial function h(x) = x3 + 2x2 – 11x – 12?
y

Answers

Answer:

I attached a pic of the answer. I just did the quiz. Hope this helps!!!

Step-by-step explanation:

The graph of the polynomial function h(x) = x³ + 2x² - 11x -12 has been shown.

Given that,
To determine the graph of the polynomial function h(x) =  x³ + 2x² - 11x -12.

What is the graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The graph of the function h(x) = x³ + 2x² - 11x -12 can be drawn as the function is a polynomial of degree 3 so it will follow two ups  and down,
So the graph can be drawn as shown in the image.

Thus, the graph of the polynomial function h(x) = x³ + 2x² - 11x -12 has been shown.

Learn more about graphs here:

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6. Elena and Jada are 24 miles apart on a path when they start moving
toward each other. Elena runs at a constant speed of 5 miles per hour, and
Jada walks at a constant speed of 3 miles per hour. How long does it take
until Elena and Jada meet?

Answers

Answer:

15

Step-by-step explanation:

3 hours is the answer to your question
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