determine the rate of change (slope) and starting point (y-intercept)

Determine The Rate Of Change (slope) And Starting Point (y-intercept)

Answers

Answer 1

Answer: slope = 1, y intercept = 3

Step-by-step explanation:

The line crosses the y axis at 3 and when you calculate rise over run, you get 1, so the slope is 1.


Related Questions

You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation $10x+12y=300$ models the total cost, where $x$ is the number of short-sleeved shirts and $y$ is the number of long-sleeved shirts. a. Graph the equation. Interpret the intercepts

Answers

Answer:

a. i) Please see the  included graph of the equation $10·x + $12·y = $300

ii) The intercepts give the maximum number of either short-sleeve (x-intercept) long-sleeved (y-intercept) that can be ordered

Step-by-step explanation:

The given information are;

The cost of each short-sleeved shirt = $10

The cost of each long-sleeved shirt = $12

The amount available in the budget = $300

The equation for the total cost = $10·x + $12·y = $300

Where;

x = The number of short-sleeved shirts

y = The number of long-sleeved shirts

Rewriting the equation given in slope and intercept form, we have;

$10·x + $12·y = $300

$12·y = $300 - $10·x

y = $300/$12 - $10·x/$12

y = 25 - 5/6·x

Please find attached, the graph of the equation made with Microsoft Excel

The values of the data that can calculated to plot the graph are;

x, y

(0, 25 )

(5, 20.83 )

(10, 16.67)

(15, 12.5 )

(20, 8.33)

(25, 4.17)

(30, 0 )

The x-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget, while the y-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget.

The graph of the equation is shown below.

The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.

The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.

Given:

Short-sleeved shirts cost $10 each.  

Long-sleeved shirts cost $12 each.

The total budget is $300.

The given equation is:

[tex]10x+12y=300[/tex]

where [tex]x[/tex] is the number of short-sleeved shirts and [tex]y[/tex] is the number of long-sleeved shirts.

To find:

The graph of the given equation and the interpretation for the intercepts.

Explanation:

We have,

[tex]10x+12y=300[/tex]

Substitute [tex]x=0[/tex].

[tex]10(0)+12y=300[/tex]

[tex]12y=300[/tex]

[tex]y=\dfrac{300}{12}[/tex]

[tex]y=25[/tex]

So, the y-intercept is at point (0,25).

Substitute [tex]y=0[/tex].

[tex]10x+12(0)=300[/tex]

[tex]10x=300[/tex]

[tex]x=\dfrac{300}{10}[/tex]

[tex]x=30[/tex]

So, the x-intercept is at point (30,0).

Plot the points (30,0) and (0,25) on a coordinate plane and connect them by a straight line.

The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.

The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.

Learn more:

https://brainly.com/question/13859754

A factory uses 30 yards of leather to make belts. Each belt is 2/3 yard long. How many belts can the factory make?

Answers

Answer:

your answer is 45

Step-by-step explanation: it is 45 because 30 divided by 2/3 is 45

5) Carmen bought a movie for $18.60. The next day the movie was selling
for $20.30. What was the percent of change?

Answers

The answer is 1.7 cause $20.30 - $18.60 equals 1.7

If f(x) = x2 – 3, find f (5)

Answers

Answer:

5*2 - 3

10-3

7

Step-by-step explanation:

mark me as the brainliest

Plug in 5 as the x f(5)=5(2)-3
Which means f(5)=7

The area of a circle will _____ be larger than the area of a polygon circumscribed about the circle.

always
often
sometimes
never

Answers

Answer:

Often

Step-by-step explanation:

Hope this helps :D

the school will repave the play yard at a cost of $23.00 per yard squard yard. the yard measures 108 ft by 135 ft. what is the total square footage of the play yard how much will the paving cost

Answers

Answer:

$5589

Step-by-step explanation:

I added 108+135

then got 243 then i multiplyed 23.00 times 243

got 5589

Find the value of x in the equation below
13=x-18
Please help

Answers

Answer: x = 31

Step-by-step explanation: 13+18=31, so 31-18=13.

Answer:

x = 31

Step-by-step explanation:

-Get x alone

13 = x -  18

-add 18 to each side

x=31

HELP ASAPPPP
(8x - 14)*
(2x + 4)*

Answers

Answer:

X is 17

Step-by-step explanation:

X is 17 is the answer

please help! i will give brainliest!

Answers

Answer:

B represents 9. The opposite would be -9

Step-by-step explanation:

For each pair of mathematical expressions, determine if the expressions have equal values. Select each pair of expressions that came out to be equal.

Please note, not all pairs will come out to the same value. We want you to determine if the expressions in each answer option have the have the same value.

Question options:

36÷3+3 and 22+2
36
÷
3
+
3

a
n
d

2
2
+
2

−(23)2and 49
-
(
2
3
)
a
n
d

4
9

8(−9) and −12−60
8
(
-
9
)

a
n
d

-
12
-
60

1+24 and 1−14

Answers

this doesn’t make sense you can really see the options

Can somone please help me asap I’ll mark brainlist!!!!!

Answers

Answer:

405.45

Step-by-step explanation:

405.45

yw

405.45 i’m positive

what is the answer to 9/11 - 4/11

Answers

Answer:

the answer is approximately 0.4545

Step-by-step explanation:

I just searched it on google. i got you my guy

Answer: 5/11

The denominator (bottom number) stays the same when adding or subtracting fractions. In this case, you simply subtract 4 from 9 and get 5, which is your numerator (top number).

So: 9/11 - 4/11 = 5/11

write an Equation that represents the lines

Answers

Answer: The answer is Y=3/4x -4.5

Step-by-step explanation: You can find the slope by unsing rise over run by using the points given, you go up 3 and go to the side 4 times to get to the other point. You use tose 2 numbers and put them into a fraction you put it like this(The amount you went up/ the amount you went to the side) the you find where you cross the y-intercept which is 4.5 the you plug it into the point slope formula which is Y=3/4x -4.5

7x + 3 = 4x - 5x + 12

Answers

Answer:

x=1.125

Step-by-step explanation:

Answer:

1.125

Step-by-step explanation:

7x + 3 = 4x - 5x + 12

7x + 3 = -x + 12

+x           +x

8x + 3 = 12

   -3       -3

8x = 9

x = 1.125

Will do a brainly! 4/7=18/31.5

Answers

Answer:

True

Step-by-step explanation:

4 ÷ 7 = 0.571418 ÷ 31.5 = 0.5714Because they are the same result, the two fractions are equal. Therefore, the equation is true.

I hope this helps!

The graph shows the relationship between inches, x,
and miles, y, on a map. Which equation represents the
proportional relationship?
O y = x + 5
O
х
O y = 5x
O y = 10x

Answers

Answer:

B

Step-by-step explanation:

Since one inch on a map must represent a few miles in reality, B is the only logical answer to this question

HELP ITS MATH AND I SUCK AT MATH WILL GIVE BRAINLIEST :)))))

Answers

Answer:

i believe it's A. f(x) slope is greater than g(x) slope

Step-by-step explanation:

the slope of f(x) is -2, while g(x) is -6. you may think "why isn't -6? 6 is bigger, isn't it?" In this case, they're both negative so the number closer to zero is the greater one

Answer:

A

Step-by-step explanation:

Jia baked two kinds of muffins. She baked 27 blueberry muffins. The number of cranberry muffins she baked is represented by the equation shown. 27÷3=9​

Answers

Answer:

I am pretty sure its A.

Step-by-step explanation: I can't explain right now, I got to go, but I'm pretty sure.

Jessica completed 20 haircuts in 8 hours. On average how many haircuts per hour did Jessica do?

Answers

Answer:

two and a half

Step-by-step explanation:

you can’t have 2.5 because you can’t have half a person. It depends what your teacher thinks is acceptable

Kilometers and inches are some units used to measure length. What are some other units used to measure length?

I need the answer quick

Answers

Meters, miles, feet, centimeters

Answer:

Meters, miles, feet, centimeters

Step-by-step explanation:

After a bad break up, you decide to burn all the things a former boyfriend/girlfriend has given to you and any keepsakes. You have 50 items to put into the "pit" to burn. There are 85% of the items remaining at the end of 5 minutes. When will all your memories be gone?

Answers

Answer:

5.9 minutes

Step-by-step explanation:

85% of 50 items is gone in 5 minutes

42.5 items = 5 minutes

50 items = x minutes

42.5 items × x minutes = 50 items × 5 minutes

x = 50 items × 5 minutes/42.5 items

x = 5.8823529412 minutes

x ≈Approximately to 1 decimal place 5.9 minutes

All your memories be gone in 5.9 minutes

Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angle C is x plus 15 degrees. Group of answer choices From smallest to largest: ∠B, ∠C, ∠A x = 49 m∠C = 56 m∠A = 99 (4x + 16) = 180

Answers

Answer:

m∠C = 56 and (4x + 16) = 180

Step-by-step explanation:

The sum of angle in a triangle is 180, hence:

<A+<B+<C = 180

Given

<A = 2x+1

<B = x

<C = x+15

Substitute

2x+1+x+x+15 = 180

collect like terms:

2x+x+x+1+15 = 180

4x+16 = 180

4x = 180-16

4x = 164

Divide both sides by 4

4x/4 = 164/4

x = 41°

Since <A = 2x+1

<A = 2(41)+1

<A = 82+1

<A = 83

<B = x = 41

<C = x+15

<C = 41+15

<C = 56

Based on the calculation above, the true statements are:

m∠C = 56 and (4x + 16) = 180

value of 2m^2+m-5 when m=5

Answers

Answer:

50

Step-by-step explanation:

Substitute m with 5

2m^2+m-5

2(5)^2+(5)-5

then follow your order of operations

2(25)+(5)-5

50+5-5

55-5=50

Seed (oz)
2
3
4
Area Covered as
es
5025
2

Answers

Answer: Not enough information provided, please provide any additional instructions, answers, and text which may have been included in the question.

Step-by-step explanation:

First person to answer gets brainly!!

Answers

30
4•3=12
6•3=18
18+12=30
it’s 30!! (i have to keep typing to get to 20 characters)

Jordan can ride her skateboard 75 meters in 30 seconds. How long will it take Jordan to ride her skateboard 1,500 meters? Solve on scrap paper and enter your answer on Zearn. meters seconds 75 30 It will take Jordan seconds to ride her skateboard 1,500 meters.

Answers

Answer:

20 minutes

Step-by-step explanation:

Rewrite in simplest terms: -3(-4g-6g-2)-8g

Answers

Answer:

22g+6

Step-by-step explanation:

-3(-4g-6g-2)-8g  To simplify this, we have to distribute first.

12g+18g+6-8g    Now, we can combine like terms. (I underlined the parts with the variable to make it easier to see which parts were considered like terms.)

22g+6                 This is your simplified answer!!

Hope this helps...have a wonderful day c:

Mathematical Connections Jake's solution to
the equation - 4(2x - 3) = 36 is shown.
-4(2x - 3) = 36
-8x + 12 - 36
- 8x + 12 - 12 = 36 - 12
-8x = 24
8x24
-8
X=-3
How is the solution to -4(2x - 3) > 36 similar to
and different from the solution shown?

Answers

6739-77(7) =67997 +66

The solution x > -3 represents all values of x that are greater than -3. On the other hand, the solution x = -3 represents a single value of x that is equal to -3.

Given that,

An equation is,

- 4(2x - 3) = 36

Here, Jake's solution to the equation - 4(2x - 3) = 36 is,

-4(2x - 3) = 36

Apply distributive property,

-8x + 12 - 36

- 8x + 12 - 12 = 36 - 12

Subtract 12 on both sides,

-8x = 24

x = - 24/8

x = - 3

So, the solution x = -3 represents a single value of x that is equal to -3.

Therefore, x > -3 represents a range of values greater than -3, while x = -3 represents a single value that is equal to -3.

To learn more about the equation visit:

brainly.com/question/28871326

#SPJ6

Part C: Create a graph that represents the solutions to the equation from Part A

Answers

Answer: Dear friend google

Step-by-step explanation: search it up

8(k - 6) +58 = 2(4k + 5)
one solution
no solutions
infinite solutions

Answers

Answer:

infinite solutions

Step-by-step explanation:

Given

8(k - 6) + 58 = 2(4k + 5) ← distribute parenthesis on both sides

8k - 48 + 58 = 8k + 10 , that is

8k + 10 = 8k + 10

Since both sides are equal then any value of x will make the equation true.

There are an infinite number of solutions

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