what is the rate of change between the points 6,45 and 9,67.5

Answers

Answer 1

Answer:

7.5

Step-by-step explanation:

the slope m is a measure of the rate of change

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, 45 ) and (x₂, y₂ ) = (9, 67.5 )

m = [tex]\frac{67.5-45}{9-6}[/tex] = [tex]\frac{22.5}{3}[/tex] = 7.5 ← rate of change


Related Questions

The graph below represents the linear equation y = 3/5 x- 2.​

Answers

Answer:

The y-intercept is -2 and the slope is 2/3

Step-by-step explanation:

30 pts pleeeaase answer correctly

Answers

Answer:

what is the question?

Step-by-step explanation:

5 + u = 12
what’s the answer?

Answers

Answer:

the answer is 7

Step-by-step explanation:

12-5=7 and seven equals u

Answer:

7

Step-by-step explanation:

5 + u = 12

To make this equation simpler, why don't we isolate the variable u?

5 + u = 12

-5  -5

u = 12 - 5

u = 7

Hope you find good memes!

A recipe has a ratio of 1/3 cup of sugar to 4 cups of water if 2 cups of sugar are used how many cups of water are needed

Answers

Answer:

24 cups is the answer!

Step-by-step explanation:

Hope this helps :)

Answer:

24 cups

Step-by-step explanation:

1/3

2=6/3

4*6= 24

A local bicycle shop makes $75 on each
Model A bike and $90 on each Model B bike.
The overhead costs for making the bikes are
$1,350. Write an inequality to show how
many of each bike model must be sold so the
company avoids losing money.

Answers

The inequality that show how  many of each bike model must be sold so the

company avoids losing money is 75x + 90y $1350

Let x represent the number of model A bikes produced and y represent the number of model B bikes produced.

Since A local bicycle shop makes $75 on each  Model A bike and $90 on each Model B bike, hence:

Revenue = 75x + 90y

The overhead cost is $1350, hence to make profit:

Revenue ≥ cost

75x + 90y $1350

The inequality that show how  many of each bike model must be sold so the

company avoids losing money is 75x + 90y $1350

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A student was marked tardy five different times in a 40 day period. What percent of the time was the student tardy?

Answers

Answer:

12.5%

Step-by-step explanation:

5/40 = .125

.125×100 = 12.5%

The percentage is the indicating hundredth. The percentage of times the students marked will be 12.5%.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

A student was marked tardy five different times in a 40-day period.

Percentage of 5 among 40 →

(5/40) x 100 = 12.5%

Hence "The percentage is the indicating hundredth. The percentage of times the students marked will be 12.5%".

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What is 25% of 35????

Answers

Answer:

8.75

Step-by-step explanation:

In order to determine what is 25% of 35, simply multiply 35 by 0.25 (which is the decimal equivalent of 25%).

0.25 × 35 = 8.75.

Therefore, the 25% of 35 is 8.75.

Maggie has a collection of 1,200 pennies. Of these, 25% are dated before 1980, 35% are dated from 1980-2000, and the rest are dated after 2000. How many pennies in Maggie's collection are dated after 2000?

Answers

Answer: 780

Step-by-step explanation:

the measure of an angle is nineteen times the measure of its complementary angle. what is the measure of each angle?

Answers

Step-by-step explanation:

officially, complementary angles complete each other to a total sum of 90 degrees.

supplementary angles complete each other to a total sum of 180 degrees.

angle 1 = 19× angle 2

90 = angle 1 + angle 2 = 19×angle 2 + angle 2 = 20×angle 2

angle 2 = 90/20 = 9/2 = 4.5 degrees.

angle 1 = 19×4.5 = 85.5 degrees.

and so, it seems to me, your teachers made a severe definition mistake and aimed for 180 degrees instead of the correct 90 degrees.

in that case, everything doubles.

angle 2 = 9 degrees

angle 1 = 171 degrees

If measure of an angle is 19-times measure of its complementary-angle, then measure of one angle is 85.5° and other is 4.5°.

Let us denote the measure of the angle as = "x" degrees.

The complementary angle is the angle that, when added to the given angle, forms a 90-degree angle.

The complementary-angle to "x" degrees is = (90 - x) degrees,

We know that the measure of the angle is nineteen times the measure of its complementary angle, we can write the equation as :

x = 19(90 - x),

x = 1710 - 19x,

20x = 1710,

x = 1710/20,

x = 85.5,

Therefore, the measure of the angle is 85.5 degrees. The measure of its complementary angle is 90 - 85.5 = 4.5 degrees.

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Help please please with this and another

Answers

Answer:

6-8k

Step-by-step explanation:

2(3-4k)=2*3-2*4k=6-8k

what is (x+4) (2x-1) in standard form

Answers

Answer:

[tex]2x^{2} +7-4[/tex]

Step-by-step explanation:

Distribute x+4 into 2x-1 to get

[tex]2x^{2} +7-4[/tex]

Answer:

y= 2x^2+7x-4

Step-by-step explanation:

if you make a box plot it is easier to figure answers like this out.

What is the positive difference between 8 and 9

Answers

Answer:

8-9=-1

just absoulte value. |-1| = 1

Step-by-step explanation:

Shandra scored 75 on her first math test. She scored
20% higher on her next math test. What did she score
on her second test?

Answers

Answer:

90

Step-by-step explanation:

20% of 75 is 7.5 times 2 which equals 15 so 15 plus 75 is 90.

Answer:

She scored 90 on her second math test.

Step-by-step explanation:

A 20% increase is 120% of the original number. 120% is also just a multiplier of 1.2. Multiply the first score by 1.2 to get the second score:

[tex]75\times1.2=90[/tex]

She scored 90 on her second math test.


(a^3 b^12 c^2) * (a^5 c^2) * (b^5 c^4)^0

A) a^15 b^12 c^4
B) a^8 b^17 c^8
C) a^14 b^15 c^9
D) a^8 b^12 c^4

Answers

Step-by-step explanation:

[tex] = ( {a}^{3} {b}^{12} {c}^{2} ) \times ( {a}^{5} {c}^{2} ) \times ( {b}^{5} {c}^{4} ) {}^{0} [/tex]

[tex] = {a}^{3 + 5} {b}^{12} {c}^{2 + 2} [/tex]

[tex] = {a}^{8} {b}^{12} {c}^{4} [/tex]

Option D

Solve for x.
X+10
—-
5
X-2
—-
6

Answers

Answer:

X+10 5

Step-by-step explanation:

we divide since when 5 can divide 2

10divide 5 is 2 so x = 2.so as the second2 divide 6 is 3 so X =-3

Drag the numbers so their absolute values are ordered from least to greatest.

Answers

Answer:

I really don't know sorry

Lucas has $300 in his savings account and starts saving $75 per month. He wants to meet his savings goal of $3000. How long will it take him to reach his goal?

Answers

It will take him 36 months

The time taken to reach the goal of $3000 will be 36 months.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Lucas has $300 in his savings account and starts saving $75 per month. He wants to meet his savings goal of $3000.

The equation for the total cost will be formed as,

TC = 75m + 300

3000  = 75m + 300

3000 - 300 = 75m

2700 = 75m

m = 2700 / 75

m = 36 months

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2+2/50
what is the answer?

Answers

Answer:

2.04

Step-by-step explanation:

Answer:4/50

Step-by-step explanation:

2+2 = 4

I WILL GIVE BRAINLIEST

Answers

Answer:

I think this one will be D.  

TR=UR

Hope this helps :)

Translate the sentence into an equation.
Three less than the product of 2 and a number is equal to 6.
Use the variable x for the unknown number.

Answers

Answer:

2x - 3 = 6

Step-by-step explanation:

solve for 'x':

2x - 3 = 6

2x = 9

x = 9/2 or 4 1/2

Check:

2(9/2) - 3 = 6

9 - 3 = 6

6 = 6

which math expression means "45 less than an unknown number"?

A. x- 45
B. x + 45
C. 45 ÷ x
D. x * 45

Answers

Answer:

A because when you subtract x will be less than the unknown number

Satchmo bought half pound of mangoes for $6 how much would he pay for 13/4 pounds of mangoes ?

Answers

Answer: 39

Step-by-step explanation: 1/2   = 6

                                             13/4 = x

cross mutiply13/4 * 6=19.5divide both sides by 1/2answer is 39

If Satchmo bought half pound of mangoes for $6 then he pay $39 for 13/4 pounds of mangoes.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that Satchmo bought half pound of mangoes for $6

We need to find the amount he has to pay for 13/4 pounds of mangoes.

Let x be the  amount he has to pay for 13/4 pounds of mangoes..

We find the value of x by forming a proportional equation by given data.

1/2/6=13/4/x

1/12=13/4x

Apply cross multiplication

4x/12=13

x/3=13

x=39

Hence, Satchmo pay $39 for  13/4 pounds of mangoes.

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Find the of fish food cubes it takes to fill the large box

Answers

??????? Context please

Answer:

Step-by-step explanation:

What exactly is your question first of all?

Solve for x: 1/9 x what = 2 1/8​

Answers

Answer:

x=1/8

Step-by-step explanation:

pickpeuhahaahahaha

Answer:

1/9 x 21/8 = 7/24

Step-by-step explanation:


I need help ASAP the answer should be 230 mi^2 I just need the work !! Please

Answers

Answer:

9x5=45x5=225+5=230

Step-by-step explanation:

Find f(g(x)) and g(f(x)).
Given: f(x)= 3x – 1; g(x) = 7x + 6

Answers

Answer:

When f(x)= 3x – 1 and g(x) = 7x + 6,

f(g(x)) = 21x + 17

and

g(f(x)) = 21x - 1

Step-by-step explanation:

Given:

f(x) = 3x - 1

g(x) = 7x + 6

To find f(g(x)), substitute the value of g(x) into f(x).

f(g(x)) = f(7x + 6)

Substitute variable.

f(7x + 6) = 3(7x + 6) - 1

Distribute the 3 inside the parenthesis.

f(7x + 6) = 21x + 18 - 1

Subtract 1 from 18.

f(7x + 6) = 21x + 17

Therefore, f(g(x)) is 21x + 17.

To find g(f(x)), substitute the value of f(x) into g(x).

g(f(x)) = g(3x - 1)

Substitute variable.

g(3x - 1) = 7(3x - 1) + 6

Distribute the 7 inside the parenthesis.

g(3x - 1) = 21x - 7 + 6

Add 6 to -7.

g(3x - 1) = 21x - 1

Therefore, g(f(x)) is 21x - 1.

6a+3a+8b+a−5b

3b+6a3 b plus 6 A

3b+9a3 b plus 9 A

3b+10a3 b plus 10 A

13b+9a
ASAP PLEASE

Answers

Answer:

all 5

Step-by-step explanation:

6a+3a+8b+a-5b = 10a+3b

3b+6a+3b+6a = 9b+6a

3b+9a+3b+9a = 6b+18a

3b+10a+3b+10a = 6b+20a

13b+9a = 13b+9a

Graph the line:
Y = -4x + 6

Answers

Answer: See the graph below.

Suppose that two asteroids in the asteroid belt are moving in a straight line and at the same speed toward each other. If a 3D coordinate system is placed with the origin at the sun, then the position of one asteroid can be described as 2.8 astronomical units (AU) in the direction of positive x, 0.3 AU in the direction of positive y, and 0.15 AU in the direction of positive z. At the same time, the position of the other asteroid can be described as 2.7 AU in the direction of positive x, 0.23 AU in the direction of positive y, and 0.12 AU in the direction of positive z. At what point in this 3D coordinate system will they collide? Use the midpoint formula

i have tried to solve this by using the formula but i cant figure out x2,y2 and z2.

Answers

Answer:

x2 =0.87

Step-by-step explanation:

the rectangle with a side of length 12cm has a diagonal of 15cm. what is the perimeter of the rectangle?

Answers

Answer: 42 cm

Step-by-step explanation:

First since the second side length is unknow we need to find it.

We will use the Pythagorean theorem which is [tex]a^{2} + b^{2} = c^{2}[/tex]

Since we will be solving for b we will rearrange the equation to be

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

now to slove input the data we know

[tex]b^{2}[/tex] = 144 - 225

[tex]b^{2}[/tex] = 81

[tex]\sqrt{b^{2} } = \sqrt{81}[/tex]

[tex]b[/tex] = 9

With the two sides we simply add up all the sides for the perimeter

9+12+9+12 = 42

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