Which expression can be used to determine the average rate of change in f(x) over the interval 2, 9? On a coordinate plane, a curve opens down and to the right. The curve starts at (0, 0) and goes through (1, 3), (4, 6), and (7, 8). f(9 – 2) f(9) – f(2) StartFraction f (9 minus 2) Over 9 minus 2 EndFraction StartFraction f (9) minus f (2) Over 9 minus 2 EndFraction

Answer:

a. √2⁴+3² = √16 + 9

= √25 = 5

The answer is a

b. √10²-2^6 = √100-64

= √36 = 6

The answer is b

Hope this helps.

Answer:

A.) should be C

B.) should be D

90% sure

Answer:

Doman is the x intercpet range

Step-by-step explanation:

all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.

The Answer Is:

All Real Numbers

Answer: -38,686

Step-by-step explanation:

3 x 4= 12

-19 x 2037= -38,703

12 + 15= 17

17 -38,703= -38,686

Answer:

9h+40

Step-by-step explanation:

Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x number of hours or simply 9h.

So altogether, her original 40$ and her 9$ from every hour can be written together as 40 + 9h or 9h + 40.

(ps. this is my first answer, I apologise if Its not very detailed.)

The expressions best represent Jill's income for the week is 9h+40. The correct option is C.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. The expression will be written as below:-

Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x the number of hours or simply 9h.

Her original 40$ and her 9$ from every hour can be written together as below:-

40 + 9h or 9h + 40.

Therefore,  the expressions best represent Jill's income for the week is 9h+40. The correct option is C.

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Answer:

Your answer is the second option: y= -1/4x + 11/16

Good luck on the test btw I hope u get 100% !!

Answer:

B) y= -1/4x + 11/16

Step-by-step explanation:

I just took the quiz on edge

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

Answer:

simplest Form (fractions) A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.

Step-by-step explanation:

To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers). hope this helps you :)

Answer:

-8r/s

Step-by-step explanation:

r /s - 9r /s

The denominator is the same so subtract the numerators

r - 9r

-8r

Put this back over the denominator

-8r/s

Answer:

Step-by-step explanation:

Similarity property,

" If the two triangles are similar then their corresponding sides will be proportional."

14). If ΔPQR ~ ΔUVW,

     [tex]\frac{PQ}{UV}=\frac{QR}{VW}=\frac{PR}{UW}[/tex] [Statement}

     [tex]\frac{15}{10}=\frac{9}{6}=\frac{6}{4}[/tex]

     [tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex]  [True}

Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]

15). If ΔFHE ~ ΔDHG,

     [tex]\frac{EH}{HG}=\frac{HF}{DH}[/tex] [Statement]  

     [tex]\frac{24}{6}=\frac{36}{9}[/tex]

     4 = 4

Therefore, ΔFHE ~ ΔDHG [Theorem - AA]

To solve the given equation, we will use the addition property of equality.

The addition property of equality states that when the same quantity is added to both sides of an equation, it produces an equivalent equation.

For numbers a, b, and c, if a = b then a + c = b + c.

Given is an equation, x - 5 = -14,

We are asked to identify, that, which property of equality was used to solve this equation,

Solving the equation,

x - 5 = -14

Add 5 to both sides,

x-5+5 = -14+5

x = -9

Since, we used addition, therefore, this property is addition property of equality.

Hence, to solve the given equation, we will use the addition property of equality.

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Answer:

-30

Step-by-step explanation:

3 3/5 × -8 1/3

Turn to improper fractions.

18/5 × -25/3

Multiply.

-450/15

Divide.

= -30

[tex]\pi \times d[/tex]

22/7×21.6

=67.88

=70

Answer:

0.96176920308

Step-by-step explanation:

i think so

Answer:3

Step-by-step explanation:

The domain is the input (x) value look for 4 in the domain area and find the value in the range are that the arrow is pointing at.

The answer is 3

Answer:

$10,400

Step-by-step explanation:

If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080

It also continues on for 5 years so 2,080*5=$10,400

Answer:

10833

Step-by-step explanation

Use the formula

Sₙ=a₁ [tex]\frac{1-r^n}{1-r}[/tex]

a₁= 2000

r= 1+4%=1.04

n=5

plug back into equation

S₅=2000[tex]\frac{1-1.04^5}{1-1.04}[/tex] =10832.6

Rounded to the nearest dollar $10,833

Answer:

x=-9

Step-by-step explanation:

3 x=-27

x = -9

Answer:

-9

Step-by-step explanation:

x3 = -27 OR 3x = -27

3x/3 = -27/3

x = - 9

Answer:

d = 1 + 3p  

Step-by-step explanation:

Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.

For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.

Therefore, the relationship between the practices p and the distance d can be expressed as follows.

number of track practice = p

distance covered = d

The distance covered  d in miles is 1 miles plus the number of track practice p multiply by 3

d = 1 + 3p  

Answer:

D = √[(x2 - x1)² + (y2 - y1)²]

Step-by-step explanation:

Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).

Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.

That is,

D² = (x2 - x1)² + (y2 - y1)²

Now, taking square roots of both side, we have the formula for the distance or length D.

D = √[(x2 - x1)² + (y2 - y1)²]

Answer:

-5n + 27

Step-by-step explanation:

The difference is -5.

The first term is 22.

Use the formula for nth term.

an = dn + (a - d)

a is the first term.

d is the difference.

an = - 5n + (22 - ( - 5 ))

an = -5n + (22 + 5)

an = -5n + 27

Answer:

27 - 5n.

Step-by-step explanation:

This is arithmetic with common difference = 17 - 22 = -5 (also 12 - 17 = -1).

nth term an = a1 + d(n - 1)

= 22 - 5(n - 1)

Which simplifies to  27 - 5n

Answer:

36 meters and 24 meters.

Step-by-step explanation:

[tex]60 \times 3/5\\180/5=36[/tex]

[tex]60 \times (1-3/5)\\60 \times 2/5\\120/5=24[/tex]

Answer:

37.5 m, 22.5 m

Step-by-step explanation:

Let length of first part be x

Length of second part be 3/5x

x + 3/5x = 60

5x + 3x = 60

8x = 300

x = 300/8 = 37.50 m

Second part is 3/5x

3/5 x 37.50 = 22.50 m

Answer:

Y = 170, Z = 64.

Step-by-step explanation:

Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.

Answer:

2

Step-by-step explanation:

First calculate the mean. This is done by adding the numbers and dividing by the count:

sum = 6+0+4+3+2 = 15

count = 5

mean = 15/5 = 3

Now create a table with the "squared deviation to the mean":

6: (6 - 3)² = 9

0: (0 - 3)² = 9

4: (4 - 3)² = 1

3: (3 - 3)² = 0

2: (2 - 3)² = 1

And sum these:

9+9+1+0+1 = 20

Divide by the count to find σ²:

σ² = 20/5 = 4

Hence σ = √4 = 2

Answer:

Option (1)

Step-by-step explanation:

Diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 to 0.2 cm greater than 1.5 cm.

Let the diameter of the bolt = x cm

Then the value of x will be,

(1.5 - 0.2) cm < x < (1.5 + 0.2) cm

When we plot the possible measures of the diameter of the bolt on a number line,

Measures of x will be between 1.3 cm to 1.7 cm

Option (1) will be the answer.

Answer:

A

Step-by-step explanation:

Its pretty self explainatory, it tells you that the line has to be anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm, so if you look at the graphs A is the only one that maches with what the question in asking.

Answer:

The median would be 10. The number in between 9 and 11 would be 10

Step-by-step explanation:

The numbers in order would be 5,5,7,9,11,14,16,18. Since there is an even amount of numbers in the sequence, the middle two numbers are 9 and 11. You add them together to get 20 then divide by 2. So the answer would be 10.

Hope this helped!!!

Answer:

First option is the correct choice.

Step-by-step explanation:

[tex]SA=\pi r^2+\pi r l\\\\=\pi \left(3\right)^2+\pi \left(3\right)\left(8\right)\\\\=33\pi \:ft^2[/tex]

Best Regards!

Answer: A. 94

Step-by-step explanation:

The formula for surface area is A=2(wl+hl+hw).Wwe are given our values of width, length and height, so we can plug them in.

w=3

l=4

h=5

A=2((3*4)+(5*4)+(5*3))

A=2(12+20+15)

A=2(47)

A=94

Option (A) is correct

What are factors of production?

" Factors of production are resources that are the building blocks of the economy; they are what people use to produce goods and services. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship."

What are some examples of entrepreneurship as a factor of production?

An entrepreneur is a person who combines the other factors of production - land, labor, and capital - to earn a profit. The most successful entrepreneurs are innovators who find new ways to produce goods and services or who develop new goods and services to bring to market. Without the entrepreneur combining land, labor, and capital in new ways, many of the innovations we see around us would not exist. Entrepreneurs are a vital engine of economic growth helping to build some of the largest firms in the world as well as some of the small businesses in your neighborhood. Entrepreneurs thrive in economies where they have the freedom to start businesses and buy resources freely.

So, option (A) is correct

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Answer: entrepreneurship

Step-by-step explanation:

just took the quiz

Answer:

Explanation:

I hope you understand this

Answer:

see explanation

Step-by-step explanation:

Because the quantities are in proportion

When x doubles then y doubles

Answer:

50%

Step-by-step explanation:

Out of the 200 total people, 100 of them are not boys (the only people on this table who are not boys are girls) so the probability is 100 / 200 = 1 / 2 = 50%.

Answer:

0.75

Step-by-step explanation:

A decrease of 25% becomes 75% of the original number. 75% as a decimal is 0.75.

Answer:

0.75

Step-by-step explanation:

100(0.75)=75