The average rate of change of g(x) over the interval 1 ≤ x ≤ 4 is 27. What is the missing value in the table?
x |0 | 1 | 2 | 3 | 4
g(x)|0 |3| 6 | 15| ?

Answers

Answer 1

Answer:

The value of g(x) ar x = 4 is 84.

i.e. g(4) = 84

Step-by-step explanation:

Given the table

x             0             1             2             3             4

g(x)        0             3             6             15          BLANK

The average rate of change of g(x) over the interval 1 ≤ x ≤ 4 is 27.

at x₁ = 1, g(x₁) = 3

at x₂ = 4,  g(x₂) = g(4) = ?

The average rate of change = 27

Using the formula involving the average rate of change  

Average rate = [g(x₂) - g(x₁)] / [ x₂ - x₁]

substituting x₁ = 1, g(x₁) = 3, x₂ = 4 and Average rate = 27  

                  27  = [g(4)  - 3] / [4 - 1]

                   27 = [g(4)  - 3] / [3]

                27×3 = g(4)  - 3

                  81   = g(4)  - 3

              81+3   = g(4)

                  84 = g(4)

Thus,

The value of g(x) ar x = 4 is 84.

i.e. g(4) = 84


Related Questions

this question I do not understand .....someone please explain to me please I need it ASAP!​

Answers

Add a and k to your graph have a nice day

Point A is located at –24 and point C is located at 36 on the number line below.



Which value would represent point B, halfway between point A and point C?

Answers

If I’m right point B would represent 5.

Answer:

Please check the explanation.

Step-by-step explanation:

A number line is a horizontal line with negative values on the left-hand side of an arbitrary number 0 and positive values on the right-hand side of 0.

The location of point A on a number line = -24

The location of point C on a number line = 36

The distance between -24 and 36 can be simply calculated by counting the number of units between.

Starting from -24, we would need to move 24 units on the right side to reach the 0 and 36 units right to reach 36.

So, the total units will be: 24+36 = 60

A second simple method to calculate the distance between point A and point C is:

Distance between A and C = location of C - location of A

                                              = 36 - (-24)

                                              = 36+24

                                              = 60 units

Thus, the distance between A and C is 60 units.

Now, point B is located halfway between point A and point C.

Thus,

The point B must be 30 units before (30 units on the left side) of the point C. In other words, point B must be 30 units after (30 units on the right side) of point A.

i.e.

The location of point B = The location of point C - 30

                                       = 36 - 30

                                       = 6

Thus, point B is located at 6.

Verification:

The location of point B = The location of point A + 30

                                       = -24 + 30

                                       = 6

Thus, point B is located at 6.

Thus, it is verified that point B, halfway between point A and point C.

Hence,

'6' is the value of point B halfway between point A and point C.

A cube has a side length of s meters. The volume of the cube is
represented by the expression s^3. The volume of the cube is a function
of the side length. Does this situation represent a linear or nonlinear
function? Explain.

Answers

Answer:

non linear

Step-by-step explanation:

This situation can be represented as y=x^3 where y is the volume of the cube x is the length of its side. We find that the slope for this curve(change in y/change in x) is not constant for all points on the curve. Thus it is a non linear function.

What is an equation of the line through the origin and (-4, 9)

Answers

The answer is Y=(9/4)x

You have a bag of 15 marbles. 8 are red. 5 are blue. 2 are green. If you pull out two marbles without replacement, what is the probability that one, but not both, of them, will be blue?

a
33.3%
b
57.1%
c
66.6%
d
47.6%

Answers

Answer:

a 33.3 percent

Step-by-step explanation:

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Answer:

D. 47.6%

Step-by-step explanation:

GivenTotal marbles = 15Blue marbles = 5Solution

There are two possible scenarios

1. First marble is blue and second marble is not blue:

P(blue) = 5/15 = 1/3P(not blue) = 10/14 = 5/7P(blue and not blue) = 1/3*5/7 = 5/21

2. First marble is not blue and second marble is blue:

P(not blue and blue) = 10/15*5/14 = 2/3*5/14= 5/21

The probability that one, but not both, of them, will be blue:

5/21 + 5/21 = 10/21 = 0.476 = 47.6%

Correct option is D

the numbers of
You have a total of 10 coins consisting of nickels and dimes in your pocket. The value of the coins is $0.70. Write and solve a system of linear equations to
nickels and dimes in your pocket. Let x represent the number of nickels and let y represent the number of dimes.
System of equations
There are
nickels in your pocket and
dimes in your pocket

Answers

Answer:

6 nickels and 4 dimes

Step-by-step explanation:

6 times .05 is .30

4 times .10 is .40

just add them

.40 + .30 = .70

The equation should be:

.70 = .10y + .05x

I have 4 dimes and 6 nickels.

The question is ill-formatted. The following is the question.

You have a total of ten coins in your pocket, all of which are nickels and dimes. The total value of the coins is $0.70. To find nickels and dimes in your pocket, write and solve a system of linear equations. Let x represents the number of nickels and let y represent the number of dimes. Find the number of nickels and dimes.

How much is a cent?

One-hundredth of a dollar is equivalent to one cent.

How much is a nickel?

A nickel is worth 5 cents. That means $0.05.

How much is a dime?

A dime is worth 10 cents. That means $0.10.

How to solve the question?

As per the question,

conversion of the statements into mathematical equations:

"You have a total of ten coins in your possession, all of which are nickels and dimes."
this statement is converted into
x+y=10"The coins have a total value of $0.70."
this statement is converted into
0.05x+0.10y=0.70
⇒x+2y=14

Subtracting the above equation from the below equation we get y=4.
And by substituting y=4 in x+y=10 we get x=6.

Hence, I have 4 dimes and 6 nickels.

To learn more about the system of linear equations visit- brainly.com/question/19549073

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Percent Problems
20 out of 400 cars had a standard transmission. What percent of the cars
had a standard transmission?

Answers

Answer:

5% of the cars has a standard transmission.

Step-by-step explanation:

20 out of 400 is equal to 5 out of 100, which would be 5%

therefore 20 is 5% of 400

a number x is at most -10

Answers

Answer:

give equation plz

Step-by-step explanation:

if thier is 24 hours in a day and the sky taste like watermelon then how many people would be born tommorow?

Answers

Answer:

The answer is apple

Step-by-step explanation: If you break it out correctly, whenever the sky tastes like watermelon its a sign of the birth of apples.

Answer:

the answer is simply 14

Step-by-step explanation:

its ez dum baby brain

CAN SOMEONE HELP ME ??? This is areas and volumes of similar solids!!!!!! It’s urgent!!

Answers

Answer:

Step-by-step explanation:

let x be the unknown volume

5/7=50/x

x=70

Answer:

137.2 m³

Step-by-step explanation:

Given the ratio of sides a : b , then

ratio of volumes = a³ : b³

Here ratio of sides = 5 : 7 , then

ratio of volumes = 5³ : 7³ = 125 : 343

let x be the volume of the larger prism then by proportion

[tex]\frac{50}{125}[/tex] = [tex]\frac{x}{343}[/tex] ( cross- multiply )

125x = 17150 ( divide both sides by 125 )

x = 137.2

That is volume of larger prism is 137.2 m³

Options:
• Line A
• Line B
• Line C
• Line D
I’ll give you brainlest!!

Answers

Answer:

line D

Step-by-step explanation:

An undefined slope is when the "run" of a line is zero, the line will be vertical. I hope this helps

A baker needs 8 1/2 cups of flour for a sheet cake recipe. He has 4 2/3 cups of flour in a canister and buys 5 1/4 cups more.

How much flour does he have left after he makes the sheet cake?

Enter your answer as a mixed number in simplest form.
I dont know if i asked this question already but, I cant find it, but i need help now!

Answers

Answer: 1 5/12 cups of flour leftover

Step-by-step explanation: First, add 4 2/3 + 5 1/4. This gives you 9 11/12. 9 11/12 - 8 1/2 = 1 5/12.

The baker has [tex]1\frac{5}{12}[/tex] cups of flour left after making the sheet cake.

What is Fraction?

A fraction represents a part of a whole.

Given that  baker needs [tex]8\frac{1}{2}[/tex] cups of flour for a sheet cake recipe.

Baker has  [tex]4\frac{2}{3}[/tex] cups of flour in a canister and buys [tex]5\frac{1}{4}[/tex] cups more.

The flour he has in total =  [tex]4\frac{2}{3}[/tex] +  [tex]5\frac{1}{4}[/tex]

=14/3 +21/4

=56+63/12

=119/12

To find how much flour the baker has left after making the sheet cake, we can subtract the amount needed from the total amount:

119/12 - 17/2 = (119 - 102) / 12 = 17/12

Therefore, the baker has [tex]1\frac{5}{12}[/tex] cups of flour left after making the sheet cake.

To learn more on Fractions click:

https://brainly.com/question/10354322

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please help asap if you can!

Answers

Answer:

Definitely the first two but i think it is also the third one, im pretty sure that is correct :)  

Step-by-step explanation:

if its not lmk!!

i need help asap :))
Simplify 2a + 3a + a

Answers

Answer:

2+4a

Step-by-step explanation:

what would the equation be if the slope was 0, and the y intercept was -4

Answers

Answer:

y=0x-4

or

y=-4

depending on how they want you to write it

Step-by-step explanation:

The formula is y=mx+b

(m) is slope

(b) is y intercept

y=mx+b

y=0x-4

or

y=-4

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

y = -4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Identify Variables

Slope m = 0

y-intercept b = -4

Step 2: Write Equation

Substitute [SIF]:                    y = 0x - 4Simplify:                                y = -4

I NEED HELP WITH 8, 9 AND 10

Answers

Answer:

with whattttttttttt is it a test

3(-2a-4)+3a I need to answer for this for khan academy, the answer options are
-6a-12+3a
3a+12
none of the above

Answers

Answer:

1+1 = 1111111111111111111111

The answer to this is: -3a-12

what is the solution to the equation? 2x−4=6

Answers

X= 5, because you will add +4 to both sides, 2x=10, and then you will divide /2 to both sides, which will give you x=5

can someone pls help me !!!

Answers

Answer:

I dont know the answer, but I am going to give you a lot of luck, so good luck!

Step-by-step explanation:

Pls help :((((((((((

Answers

Answer:

Top right

Step-by-step explanation:

Rise/run is useful in this situation also is this iready?!

solve for x round your answer to the nearest tenth

Answers

Answer:

13.7

Step-by-step explanation:

Pythagorean theorem converse

Answer:

The value of x is 13.7.

Step-by-step explanation:

☆We are going to use the Pythagorean theorem to solve this.

☆Pythagorean Theorem:

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

☆Remmeber: a = leg, b = leg, c = hypotenuse or the diagonal.

☆Let's plug in according to the pythagorean theorem and solve!

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {9.2}^{2} = {16.5}^{2} \\ {x}^{2} + 84.64 = 272.25 \\ \frac{ \: \: \: \: \: \: \: \: - 84.64 = - 84.64}{ {x}^{2} = \sqrt{187.61} } \\ x = 13.7[/tex]

Explain what the slope and intercept mean in the situation.




A graph represents the perimeter, y, in units, for an equilateral triangle with side length x units. The slope of the line is 3 and the y-intercept is 0.

Answers

Answer:

m=3/1 y=3x+0

Step-by-step explanation:

as the perimeter goes up 3 the side lengths go up one.

hope this helps

is this the 3.6 more linear relationships worksheet?

cause if so i have the answer sheet lol

Please help me (will mark brainliest)

Answers

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

A vertical line has an equation of the form ...

  x = constant

Here, the x-coordinate of every point on the line is 3, so the equation is ...

  x = 3

The variable Q varies inversely as the cube of V. FK is the constant of variation, which equation represents this situation?

A. qv^3=k
B. q^3v=k
C. q/v^3=k
D. q^3/v=k

Answers

Step-by-step explanation:

When 2 variables are inversely proportional to each other, their product is a constant.

Since Q and V³ are inversely proportional to one another, QV³ = k. (B)

4. Solve for the missing variable. (The angle at the bottom is 97°)

Answers

Answer:

ghgetevdye bgeygdyeb fvwshdv sb dj ywud eg  

Step-by-step explanation:

jdnujdm

Draw an ordered stem and leaf diagram to show this information.
245, 250, 251, 253, 258, 264, 267, 269, 273, 276
Key:
2415 means

Answers

Answer:

24|5

25|0;1;3;8

26|4;7;9

27|3;6

Step-by-step explanation:

key in the bottom right:

24|5means 245

Malala is following this recipe for bread rolls.
She uses 200 ml of water.
How much of each of the other ingredients does she use?

Recipe: Makes 15 bread rolls
550 g flour
12 g salt
10 g yeast
30 ml oil
500 ml water

Answers

Answer:

Apart from the 200 grams of water, Malala will use 220 grams of flour, 4.8 grams of salt, 4 grams of yeast and 12 miligrams of oil.

Step-by-step explanation:

Since Malala uses 200 ml of water for her bread rolls, when the recipe indicates that 500 ml should be used, this implies that she is using 40% of the indicated measures.

Therefore, to know how much use of the remaining products, following with the same proportion, the following calculations must be made:

Flour: 550 x 0.4 = 220 g

Salt: 12 x 0.4  = 4.8 g

Yeast: 10 x 0.4 = 4 g

Oil: 30 x 0.4 = 12 ml

What is the area of a triangle with a base of 10 cm and a height of 14 cm?

Answers

Formula of triangle area = L x H divided by 2
10 x 14 = 140
140 / 2 = 70
Area of triangle = 70 cm square

Which equation has exactly ONE solution?

Answers

Answer: B

Explanation:

what is the slope-intercept equation of the line below?

Answers

rise over run
10/2 = 5
y=mx+b, b is the y-intercept so it’s -2 and m is the slope so it’s 3

y=3x-2 is the answer
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