Find the rate of change of the function by using two points from the table. Write in the simplest form.
x 2 4 6 8
y 5,8,11,14

Answers

Answer 1

Rate of change of given points is 3/2.

Given that

The values of x and y,

x values are 2, 4, 6, 8 and

y values are 5, 8, 11, 14.

To find

Rate of change = ...?

So, according to the question

we have,

The values of x =  2, 4, 6, 8

The values of y =  5, 8, 11, 14.

We know that,

Rate of change = (change in y )/(change in x)

 = [tex]\frac{8-5}{4-2}[/tex]

  = [tex]\frac{3}{2}[/tex]

The difference of other points are same, so the rate of change of given coordinates is 3/2.

Rate of change = 3/2

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Related Questions

Yoko received a $70 gift card for a coffee store. She used it in buying some coffee that cost $7.37 per pound. After buying the coffee, she had $33.15 left on her card. how many pounds of coffee did she buy?
her card. How many pounds of coffee did she buy

Answers

Answer:

Yoko bought 5 pounds of coffee.

If you want the steps, let me know. Hope this helps!!

Step-by-step explanation:

Kendal bought x boxes of cookies to bring to a party. Each boxes contain 12 cookies. She decided to keep 2 boxes for herself. She brings 60 cookies to the party. What equation can be use to find the number of boxes, x kendal bought

Answers

Answer:

7 boxes

Step-by-step explanation:

Let x represent the amount of cookies that was brought to the party by Kendall

Each box contain 12 cookies

= 12 × x

= 12x

Kendall keeps 2 boxes for herself

= 12 × 2

= 24

Kendall has 60 cookies which she took to the party

Therefore the question can be represented as follows

12x = 24+60

12x= 84

Divide both sides by the coefficient of x which is 12

12x/12= 84/12

x= 7

Hence Kendall brought 7 boxes

Narek and his family are driving home from vacation and
plan on taking their time. They drive the same amount of
miles every day. After 4 days of driving, they are 400
miles from home. After 8 days of driving, they are 250
miles from home. Let x represent the number of days
Narek and his family are driving home from vacation and
y represent how far away from home (in miles) they are.

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of days  Narek and his family are driving home from vacation and  y represent how far away from home (in miles) they are.

Narek and his family vacation can be represented by coordinate points (x, y) as (4, 400) and (8, 250). We can get an equation using this formula:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\Hence:\\\\y-400=\frac{250-400}{8-4}(x-4)\\\\y-400=-37.5(x-4)\\\\y-400=-37.5x +150\\\\y=-37.5x +550[/tex]

The x intercept is the value of x when y = 0:

0 = -37.5(x) + 550

37.5x = 550

x=14.7

The y intercept is the value of y when x = 0:

y = -37.5(0) + 550

y = 550

Therefore the x intercept is 14.7. Which means that when Narek and his family drive for 14.7 days, they are 0 miles from home.

Therefore the y intercept is zero. Which means that when Narek and his family drive for 0 days, they are 550 miles from home.

Comparing the above equation with the equation of a straight line y = mx + b, where m is the slope and b the y intercept, we can get that the slope (m) is -37.5.

The slope is -37.5. This means that for every one day, they have 37.5 miles less to drive to get home.

Triple the product of c and b

Answers

Answer:

you can ask questions for any clarification

find the area of shaded part​

Answers

Answer:

461.81 cm²

Step-by-step explanation:

Diameter of a big circle is 28 cmDiameter of smaller half-circles is 28/2 = 14 cm

Shaded area = Area of big circle - area of small circle as two half-circles add up to small circle

Area formula:

A = πd²/4

Shaded area

π*28²/4 - π*14²/4 = 461.81 cm²

Express the recurring decimal 0.004 as a fraction.

Answers

Answer:

4/1000

Step-by-step explanation:

0,004 -> 004

1 + amnt of the cases (3) = 1000

A case of canned dog food has 12 cans. Each can has 12.5 ounces of food. If Synceer’s dog eats 18 ounces of canned dog food a day, how many days will a case of canned dog food last?

Answers

Answer:

8 Days with 6 ounces of Dog Food left Over

Step-by-step explanation:

12 Cans per Case x 12.5 ounces per can = 150 Ounces Total

150 Ounces/18 ounces per day= 8.3333333333333 Days

.3333333333333 Days x 18 ounces = 6 remaining ounces.

mr minnelo hasksidir​

Answers

Answer:

Who has that name?

Step-by-step explanation:

What's the question i'm really curious lol

An angle pair that is on the exterior of two lines but on opposite sides of the transversal.

Answers

Alternate exterior angles are angles outside the lines being intersected, on opposite sides of the transversal, and are not adjacent. In Figure 2 , ∠l and ∠7 are alternate exterior angles. Also, ∠2 and ∠8 are alternate exterior angles.

PLEASE HELP ME AS SOON AS POSSIBLE ITS AN EMERGENCY Caleb draws 2 triangles and claims that the triangles are congruent. For the case that his claim is true, determine whether each statement below must be true.Select yes or no for each statement.

Answers

Answer: 1 and 3

I just took the test

Calculate the size of angle a when two known angles are 80 degrees and 30 degrees

Answers

70° is the angle.

every triangle has a total of 180°, therefore 180-80-30=70°

Angle size calculation refers to the use of geometrical laws and invariants to find out how many degrees an angle is. Therefore, it is different from angle size measurement, which includes the use of a protractor or other tools to come up with the result. Calculating an angle's size demands knowledge of complementary, supplementary, and adjacent angles, as well as the properties of geometric shapes.

Subtract the given supplementary angle (its value in degrees) from 180 to calculate the size of the angle in question. Supplementary angles, or straight angles, are those whose sum adds up to 180 degrees.

Repeat the process, this time subtracting the given angle from 90, to calculate the size of an unknown complementary angle. Complementary angles, or right angles, are those summing up to 90 degrees.

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Use the number line to add −3/5 and 1 1/4.

Answers

Answer:

13/20

Step-by-step explanation:

You can write 1 1/4 as 5/4.  Any fraction that has the same number in the numerator and the denominator equals 1.  For example 4/4 = 1, 20/20 =1, 5/5 = 1 and so on.

I can rewrite 1 1/4 as 4/4 + 1/4 = 5/4

Now we want to add -3/5 and 5/4.  We need a common denominator because the pieces of the fractions are not equal.  The smallest number that 5 and 4 will go into is 20.  Si U an going to write the two fractions with 20 as the denominator.

-3/5 = -12/20  I multiplied the top and the bottom of -3/5 with 4.

5/4 = 25/20  I multiplied the top and the bottom of 5/4 by 5

-12/20 + 25/20 = 13/20

Someone answer this question please ASAP 15 pts

Answers

1,250 feet. 2 kilometers to meters is 2000 meters. subtract 750 from that and your answer is 1250 feet.

Answer:

Adrian lives closer to the school by A. 1,250 meters.

Step-by-step explanation:

1 kilometer = 1,000 meters

So, if Kevin's home is 2 kilometers from the school, then it is also 2,000 meters away, since  1,000 x 2 = 2,000.

Adrian lives 750 meters, or 0.75 kilometers away from school.

2,000 - 750 = 1,250.

Therefore, Adrian lives closer to the school by A. 1,250 meters.

Hope this helps! :D

PLEASE HELP
people with type O negative blood or universal donors. That is, any patient can receive a transfusion Of O-negative blood. Only 12% of the American population has O negative blood. 10 people appear at random to give blood, what is the probability that none of them is the universal donor.
1-0
2-0.280
3-0.526
4- 0.720
5- 1

Answers

Answer:

2

Step-by-step explanation:

I would say 2 is the correct answer because I know the chances are low, but not exactly zero, and 3 is wrong because it is definitely not more than half

what is 50% turned into a decimal

Answers

Answer:

.50

Step-by-step explanation:

When you need to turn a % into a decimal always move to the left 2 times.

Hope this helps!!


Given quadrilateral ABCD is a rhombus, find AC and EB.

Answers

Answer:

AC = 18

EB = 5

Step-by-step explanation:

give me brainliest

Answer:

AC = 18, EB = 5

Step-by-step explanation:

In a rhombus, AE = CE, and DE = BE. However, AE or AC ≠ DE or BE.

CE = AE

     = 9

AC = CE + AE

     = 9 + 9

     = 18

DE = BE

     = 5

Help me please lol !!!!!

Answers

Answer:

2

Step-by-step explanation:

What is the rate of change in the table for 2.6(x-7)^2 + 16, please.

Answers

Answer:

the rate of change is negative 0.93 since x is 1 and u subtract 0.07 u get my answer. trust me im learning this im right

Step-by-step explanation:

Systems of equations and inequality’s HELP IM BEGGING

Answers

Answer: The answer is D

Step-by-step explanation:

I used desmos graphing calculator! Look it up it really helps! Literally gives the answers. :)

can you please help​

Answers

Answer:

Step-by-step explanation:

d + 19 c

4d+31c

Please help me yea you

Answers

Answer:

[tex]x=31.8[/tex]

Step-by-step explanation:

Use the trigonometry ratios to find x. The cosine ratio is used when you are given the side adjacent to the angle and the hypotenuse (the hypotenuse is never considered the adjacent side):

[tex]cosineX=\frac{adjacent}{hypotenuse}[/tex]

Insert the values:

[tex]cos51=\frac{20}{x}[/tex]

Solve for x. Multiply both sides by x:

[tex]x(cos51)=x(\frac{20}{x})\\\\x*cos51=20[/tex]

Isolate the variable. Divide both sides by cos51:

[tex]\frac{x*cos51}{cos51} =\frac{20}{cos51} \\\\x=\frac{20}{cos51} \\\\[/tex]

Insert the value into a calculator to be simplified:

[tex]x=31.78[/tex]

Round to the nearest tenth:

[tex]x=31.8[/tex]

:Done

HELP 30 POINTS
Given the system below, SELECT all terms that will be
eliminated by adding the equations together.
-x + y = -1
2x-y=0

-x

2x

y

-y

-1

0

Answers

Answer:-1

Step-by-step explanation:

The Y VALUE and 2, -1 will be eliminated when adding the equations together!!

Hope this helped!!

What is the surface area of the sphere
O 36T Square units
O 114 square units
O 144n square units
O 576n square units

Answers

Answer:

144 π³

Step-by-step explanation:

Area of a sphere = 4 π r²

in this case, r = 6π

so, Area of THIS sphere = 4 π (6π)² = 4 . 36 π³ = 144 π³

Answer:

144 pi^3 sq units

Step-by-step explanation:

in a household, a business is run for an average of 6 hours per day. the total power consumed by a computer and its printer is 230 watts. in addition, a 100-w light bulb runs during the same 6 hours. if their utility charges 11.75 cents per kwh, how much do the owners pay every 30-days?

Answers

The amount that the owners will pay every 30 days is $6.98.

The total electricity consumed per hour equals power consumed by computers and printers plus light.The total electricity consumed per hour is 230 watts plus 100 watts.The total electricity consumed per hour equals 330 watts per hour.The total monthly electricity consumption equals total monthly electricity consumption * 6 hours * 30 daysThe total electricity consumed per month equals 330 watts x 6 hours x 30 days.The total electricity consumed is 59,400 wattsThe total electricity consumed is 59.4 kwhThe monthly electric bill equals the total electricity consumed multiplied by the utility charges per kwh.The monthly electric bill equals 59.4 kwh x 11.75 cents.The monthly electric bill is 697.95 cents.The monthly electric bill is $6.98.Therefore, the amount that the owners will pay every 30 days is $6.98.

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Tony buys 3 bags of oranges there are 6 oranges in each bag. which expression represents the total number or oranges ​

Answers

3 x 6 = x


X = 18 oranges

Answer:

3x6

Step-by-step explanation:

class of the type 15 - 25, 25 - 35, 35 - 45 are called

Answers

integers is the answer of ur question

Find the slope of each line.
1)
2)
у

Answers

Answer:

1) - 1/4 2)3

Step-by-step explanation:

Please help and explain

Answers

Answer: E

7 > 2x - 5 > -7

⇔ 12 > 2x > - 2

⇔ 6 > x > -1

Step-by-step explanation:

Answer:

im thinking its F

Step-by-step explanation:

pls help i got stuck

Answers

I got you
d=5/12+1/12
d=1/2

sally has 2 cats and each cat eats 1/4 of a tin of cat food each day. sally buys 7 tins of cat food. for how many days will the cat food feed her two cats?

Answers

Division is one of the four fundamental arithmetic operations. The number of days this cat food will last is 14 days.

What is Division?

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that each cat eats 1/4 of a tin of cat food each day. Therefore, the amount of food that two cats will eat in a day is,

= 2 ×  1/4 of a tin of cat food each day

= 1/2 of a tin of cat food each day

Further, it is given that Sally buys 7 tins of cat food. Therefore, the number of days this cat food will last is,

= Total cat food / Cat food needed in a day

= 7tin of cat food / 1/2 of a tin of cat food each day

= 14 days

Hence, the number of days this cat food will last is 14 days.

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