What is the perimeter of a rectangle if the length is (3x + 2) and the width is (2x - 5)

Answer:

Average rate of change=22

Step-by-step explanation:

We need to find the average rate of change of the equation: [tex]y=4x^2-10x+2[/tex]between f(3) and f(5).

The formula used to find average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]

In the given question we have a=3 and b =5

Finding f(a) i.e f(3)

[tex]f(3)=4(3)^2-10(3)+2\\f(3)=4(9)-30+2\\f(3)=36-30+2\\f(3)=8[/tex]

Finding f(b0 i.e f(5)

[tex]f(5)=4(5)^2-10(5)+2\\f(5)=4(25)-50+2\\f(5)=100-50+2\\f(5)=52[/tex]

Putting values of f(3)=8 and f(5)=52 to find average rate of change

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{52-8}{5-3}\\Average \ rate \ of \ change=\frac{44}{2}\\Average \ rate \ of \ change=22[/tex]

So, Average rate of change=22

Answer:

$3.90

Step-by-step explanation:

its B

The price of the ticket at which the student councils will maximize the profit is $3.90.

Option B is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of students = 480

Lowest ticket price = $3

Ticket price = $4.20

This means,

4.20 - 3 = 1.20

There is an increase of $1.20 which is 0.20 x 6 = $1.20.

The number of students who attended when the ticket price is $4.20.

= 480 - (6 x 20)

= 480 - 120

= 360

Profit:

= 360 x 4.20

= $1512

Ticket price = $3.90

This means,

3.90 - 3 = 0.90

There is an increase of $0.90 which is 0.20 x 4.5 = $0.90.

The number of students who attended when the ticket price is $3.90.

= 480 - (4.5 x 20)

= 480 - 90

= 390

Profit:

= 390 x 3.90

= $1521

Now,

Ticket price = $3.50

This means,

3.50 - 3 = 0.50

There is an increase of $0.50 which is 0.20 x 2.5 = $0.50.

The number of students who attended when the ticket price is $3.50.

= 480 - (2.5 x 20)

= 480 - 50

= 430

Profit:

= 430 x 3.50

= $1505

Now,

Ticket price = $4.00

This means,

4 - 3 = 1

There is an increase of $1 which is 0.20 x 5 = $1.

The number of students who attended when the ticket price is $4.20.

= 480 - (5 x 20)

= 480 - 100

= 380

Profit:

= 380 x 4.20

= $1520

We see that,

The profit is highest when the ticket price is $3.90.

Thus,

$4 ticket price will maximize the student council's profit.

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Answer:

125cm^3

Step-by-step explanation:

Length x Width x Height

5x5x5=125

Answer:

7/5  

7/5

they are proportinal

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

This gigantic system, powered by energy from the Sun, is a continuous exchange of moisture between the oceans, the atmosphere, and the land. Earth's water continuously moves through the atmosphere, into and out of the oceans, over the land surface, and underground.

Answer:

Answer: B. It is a perfect square

Step-by-step explanation:

Radical Expressions

Melissa multiplied [tex]\sqrt{a}[/tex] and [tex]\sqrt{b}[/tex] and got a rational number.

We are also given that a and b are both natural numbers. It means their product must be not only rational but also a natural number.

We can write that product like:

[tex]\sqrt{a} \cdot \sqrt{b}=\sqrt{a\cdot b}[/tex]

If the result is a natural number, then the product of a and b must be a perfect square. so the radical disappears.

Answer: B. It is a perfect square

Answer:

-16 degrees

Step-by-step explanation:

35-51=-16 so -16 drop

Hope this helps plz hit the crown :D

Answer:

it got hotter

51-35=16

Answer:

Only Anne

Step-by-step explanation:

Answer:Only Anne

Step-by-step explanation:

Answer:

A genius once said, help ME PLEASE DONT ANSWE RHTIS FOR POINTS DANKE

HELP ME BRAINLISTSSS

Like I said, a genius

Step-by-step explanation:

1. Its this and answer not rhtis and answe

your welcome

2. Here are the answers:

hemat

blood

For example, hematology is the study of blood and blood disorders.

hemato

combining form of hemat

hepat

liver

For example, hepatitis is an inflammation of the liver.

hepato

combining form of hepat

hist

tissue. Tissues are collections of cells

For example, histology is the study of tissues.

histo

combining form of hist

lymph

a colorless fluid containing white blood cells that drains into the bloodstream.

For example, lymphoma is a cancer of the lymph nodes and lymph cells.

lympho

combining form of lymph

my

muscle

For example, myopathy is a disease of the muscle tissue.

myo

combining form of my

nuer

nervous system, which is the entire nerve apparatus of the body.

For example, neurology is the study of the nervous system.

your welcome i would like brainlist ok

Answer:

I appreciate you giving free points thank you :)

Step-by-step explanation:

Thank for free points very well appreciated

Answer:

The answer is "Option a".

Step-by-step explanation:

The value of p [tex]= 0.178[/tex]

The significance level[tex]= 0.057[/tex]

Hypothesis:

[tex]H_0 -p=0.25\\\\H_1 -p \neq 0.25\\\\\to 0.178 > 0.057[/tex] that is p-value [tex]> \alpha[/tex]

therefore we don't reject[tex]H_o[/tex]

Answer:

16

Step-by-step explanation:

because 8+8 is 16 when doubling 8

Answer:

A' (2,2) B' (-2,1) C (3,-3)

Answer:

the answer is false

Answer:

A

Step-by-step explanation:

Just plug numbers and it will give you graph attributes

Answer:

6x-1=6x-1 infintely many

4x-8=4x+10 no solution

4x+5=4x+15 no sloution

4n-7=5n+1 n=-8

-8x+52=-26-32x 24x=78 x= 3 1/4

8y+32=7y+38  y=6

Hope this helps your spelling/typing is a bit off but mark brainliest :D

some of them are wrong bcuz i dont know the real typing :(

Answer:

72.2 feet

Step-by-step explanation:

548.7 ÷ 7.6= 72.2

Answer:

[tex]\mathbf{\iint _D y^2 dA= \dfrac{22}{3}}[/tex]

Step-by-step explanation:

From the image attached below;

We need to calculate the limits of x and y to find the double integral

We will notice that y varies from 1 to 2

The line equation for (0,1),(1,2) is:

[tex]y-1 = \dfrac{2-1}{1-0}(x-0)[/tex]

y - 1 = x

The line equtaion for (1,2),(4,1) is:

[tex]y-2 = \dfrac{1-2}{4-1}(x-1) \\ \\ y-2 = -\dfrac{1}{3}(x-1)[/tex]

-3(y-2) = (x -1)

-3y + 6 = x - 1

-x = 3y - 6 - 1

-x = 3y  - 7

x = -3y + 7

This implies that x varies from y - 1 to -3y + 7

Now, the region D = {(x,y) | 1 ≤ y ≤ 2, y - 1 ≤ x ≤ -3y + 7}

The double integral can now be calculated as:

[tex]\iint _D y^2 dA= \int ^2_1 \int ^{-3y +7}_{y-1} \ 2y ^2 \ dx \ dy[/tex]

[tex]\iint _D y^2 dA= \int ^2_1 \bigg[ 2xy ^2 \bigg]^{-3y+7}_{y-1} \ dy[/tex]

[tex]\iint _D y^2 dA= \int ^2_1 \bigg[2(-3y+7)y^2-2(y-1)y^2 \bigg ] \ dy[/tex]

[tex]\iint _D y^2 dA= \int ^2_1 \bigg[-6y^3 +14y^2 -2y^3 +2y^2 \bigg ] \ dy[/tex]

[tex]\iint _D y^2 dA= \int ^2_1 \bigg[-8y^3 +16y^2 \bigg ] \ dy[/tex]

[tex]\iint _D y^2 dA= \bigg[-8(\dfrac{y^4}{4}) +16(\dfrac{y^3}{3})\bigg ] ^2_1[/tex]

[tex]\iint _D y^2 dA= \bigg[-8(\dfrac{16}{4}-\dfrac{1}{4}) +16(\dfrac{8}{3}-\dfrac{1}{3})\bigg ][/tex]

[tex]\iint _D y^2 dA= \bigg[-8(\dfrac{15}{4}) +16(\dfrac{7}{3})\bigg ][/tex]

[tex]\iint _D y^2 dA= -30 + \dfrac{112}{3}[/tex]

[tex]\iint _D y^2 dA= \dfrac{-90+112}{3}[/tex]

[tex]\mathbf{\iint _D y^2 dA= \dfrac{22}{3}}[/tex]

To answer this question, we need, first get the equations for the lines that enclosed the surface, and integrate according to the limits these equations give.

The solution is:

A = 22/3 square units

Let´s call points:

P ( 0 , 1 )    Q ( 1 , 2 ) and R ( 4 , 1 )

The equation for the line between P and R is:

y = 1

The equation for the line between P and Q is:

Slope-intercept equation is  y = m×x + b

The slope   m₁ = ( 2 - 1 ) / ( 1 - 0 )    m₁ = 1

and the line passes over the point  x = 0  y = 1   ; then

1 = 0 +b           b = 1

y = x + 1            ⇒    x = y - 1  

The equation  for the line between Q and R is:

m₂ = ( 1 - 2 ) / ( 4 - 1)    m₂ = - 1/3

y = ( -1/3)× x + b

when x = 1    y = 2

2 = ( - 1/3)×(1) + b

2 + 1/3 = b

b = 7/3

y = - (x/3) + 7/3            ⇒  x = 7 - 3×y

The double  integral becomes:

A = 2×∫∫ y² dx dy          ⇒   A = 2 ×∫₁² y²dy ∫dx  | (y - 1 ) y ( 7 - 3y)

A = 2 ×∫₁² y²dy  × x |  ( y - 1 ) y ( 7 - 3y)

A = 2 ×∫₁² y²dy  × [ 7 - 3×y - ( y - 1 )]

A = 2 ×∫₁² y²dy  × (8 - 4×y )      ⇒     A = 2 ×∫₁² (8×y² - 4×y³ ) dy

A = 2 × [ (8/3)×y³ - y⁴ | ₁²

A = 2 × [ 64/3 - 16 - (8/3) + 1 ]

A = 2  × ( 56/3 - 15 )

A = 2  × ( 56 - 45 /3)

A = 2 × 11/3

A = 22/3 square units

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Answer:

point symmetry and line symmetry.

Answer:

ur right

Step-by-step explanation:

Step-by-step explanation:

F(2) = 2 ^ 2 = 4

9 ( f ( 2 ) ) = 3 x 4 + I = 13

Answer:

Length = 162 feet and Width = 108 feet.

Step-by-step explanation:

The area of a 2D form is the amount of space within its perimeter. The area of this region will cover is 26,244 feet².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

A four-sided figure covers the maximum area when the length of its four sides is equal. Therefore, the length and the width of the region will be equal. Thus, we can write the length of the fence as,

4x = 648 feet

x = 648/4 feet

x = 162 feet

Now, the area this region will cover is,

Area = 162 feet x 162 feet

        = 26,244 feet²

Hence, the area of this region will cover is 26,244 feet².

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Lauren paid $30 for the jacket on sale.

Percentage of any number is calculated by dividing the number with the whole and then multiplying the result with 100.

Similarly the opposite steps can be used to find the original number out of the percentage.

So percentage is the ratio or number which can be expressed as a fraction of 100 or in simple terms, percentage is the part per 100.

The symbol we use to denote percentage is %.

Lauren bought a jacket that was on sale.

Original price of the jacket = $75

Amount Lauren paid is the 40% of the original price $75.

Actual price paid = 40% × 75

= (40/100) × 75

= 0.4 × 75

= 30

That is the actual price is $30.

Hence, if Lauren paid 40% of the original price $75, then the amount Lauren paid for the jacket is $30.

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Answer: take 244$ from 699.95$

Step-by-step explanation: 699.95$ x 0.35 = 244 which is the discount

Answer:

y=2x+8

Step-by-step explanation:

Answer:

[tex] {x}^{2} - 12x + 5 = 7[/tex]

i) move constants to the right-hand side and change its sign

[tex] {x}^{2} - 12 {x} = 7 - 5[/tex]

ii) subtract the numbers

[tex] {x}^{2} - 12x = 2[/tex]

iii) add (12/2)² to both sides of the equation

[tex] {x}^{2} - 12x + ( \frac{12}{2} ) {}^{2} = 2 + ( \frac{12}{2} ) {}^{2} [/tex]

iv) using a²-2ab+b²=(a-b)² , factorize the expression

[tex](x - \frac{12}{2} ) {}^{2} = 2 + ( \frac{12}{2} ) {}^{2} [/tex]

v) calculate the value

[tex](x - \frac{12}{2}) {}^{2} = 2 + 36[/tex]

[tex](x - \frac{12}{2}) {}^{2} = 38[/tex]

vi) reduce the fraction

[tex](x - 6) {}^{2} = 38[/tex]

vii) solve the equation for x

[tex]x - 6 = + - \sqrt{38} [/tex]

1) first value of x

[tex]x - 6 = \sqrt{38} [/tex]

[tex]x = \sqrt{38} + 6 \: or \: 12.16[/tex]

2) second value of x

[tex]x - 6 = - \sqrt{38} [/tex]

[tex]x = - \sqrt{38} + 6 \: or \: - 0.16[/tex]

Answer:

Overspending: Credit cards can make life easier, but they can also make overspending easier as well. ...

Interest and fees: Using credit is essentially borrowing.

Step-by-step explanation:

Answer:

High-interest rates if not paid in full by the due date Annual fees for some credit cards can become expensive over the years. Fee charged for late payments

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

Answer:

I think itis 3.5 please mark brainlest if I am right

Step-by-step explanation:

Answer: On each, first identify as a Future Value annuity or Present Value annuity. Then answer the question. 1) How much money must you deposit now at 6% interest compounded quarterly in order to be able to withdraw $3,000 at the end of each quarter year for two years?

Step-by-step explanation: hope this helps