144ab – 108b2

Question 12 options:

36(4ab – 3b2)


36b(4a – 3b)


12b(12a – 9b)


36a(4b – 3b2)

Answer:

The rate of change is 1 for both functions A and B

Step-by-step explanation:

Hope this helps!

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Answer: 17,160 feet

Step-by-step explanation:

Because I mile = 5280 feet, 3 and 1/4 miles = 3.25 x 5280 = 17160 feet

Answer:

8 candles in plain jars and 2 candles in decorated jars

Step-by-step explanation:

Answer: 8 candles in plain jars and 2 candles in decorated jars

Step-by-step explanation:

Has to buy MORE than 5 and spend LESS than $50.00

8(3.79) = 30.32

2(8.99) = 17.98

30.32 + 17.98 =48.30

therefore she can buy 10 candles at $48.30

8 candles in plain jars and 2 candles in decorated jars

Answer:

10 centimeters, I think.

Step-by-step explanation:

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &4 \end{cases} \\\\\\ I=(500)(0.02)(4)\implies I=40[/tex]

Answer:

2/3

this question doesn't make sense

The answer is the product

Her annual property insurance premium is $673.50.

Option A is the correct answer.

Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss.

here,

We have,

To calculate Sheila annual property insurance premium, we need to determine the appropriate rating based on the type of house and the area where it is located. Aida's house is a brick house in the country,

So we need to use the "Brick" and "Rural" ratings from the table.

The rating for the building is 0.6 per $100 of coverage, so for a value of $95,000, the premium for the building is:

0.6 x $950 = $570

The rating for the contents is 0.69 per $100 of coverage, so for a value of $15,000, the premium for the contents is:

0.69 x $150 = $103.50

The total annual premium is:

$570 + $103.50 = $673.50

Thus,

Her annual property insurance premium is $673.50.

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Answer:

B

Step-by-step explanation:

First you put that then multiply inside of that then you cross over percent than boom there's your awnser your welcome

The inequality that represents all values of x for which the product  is defined is x ≥ 0

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Given is an expression, we need to determine the all values of x for which the product is defined,

The product is √4x · √x+2

We must meet both conditions:

(4x) ≥ 0 and (x+2) ≥ 0

So, 4x ≥ 0

x ≥ 0

And,   x ≥ -2 [subtract 2 from both sides.]

So, we can say the condition should be x ≥ 0

Hence, the inequality that represents all values of x for which the product  is defined is x ≥ 0

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Answer: The required remainder is 5.

Step-by-step explanation: We are given to find the remainder when we divide the following cubic polynomial by (x+2 :

3 f(x)=2x^ 3 +4x^ 2 - 6^ 2 -x+

(i)

We have the following theorem:

Remainder theorem: If a polynomial p(x) is divided by the factor (x-a), then the remainder is p(a).

So, for the given linear factor, we have

x + 2 = 0

Rightarrow x=-2

Substituting x = - 2 in equation (i), we get

f(- 2)

=2(-2)^ 3 +4(-2)^ 2 -(-2)+3

=-16+16+2+3

=5 .

Thus, the required remainder is 5.

Answer:

The price of the piano is $311.69

Answer:

Answer:

Total cuŕved surface area of the pillars = 985.6m²Total cost of painting = Rs.5420.8

Explanation:

Given,

A cylindrical pillar with dimènsions,

r(radius) = 56/2 = 28cm. [ Since d = r/2]h(height) = 35m

There are 16 such pillars. Find the cost of paiñting the the curved surface area of all pillars 5.50/m²

Conversion of the dimensioñs in same units.

Radius = 28cm

= 28 ÷ 100 [Since 1m = 100]

= 0.28m

Cuŕved surface area of the pillar is given by,

→ 2πrh

Where,

Taking ‘π’ as 22/7

→ 2*(22/7)*(0.28)*(35)

Answer:

p ( x ) = ( x- 6 ) ² - 256

Step-by-step explanation:

1- Add the same value to both sides

2- Add 36 to the expression

3- Add 36 to the left-hand  side

4- Factor the expression

5- Move the constant to the right

6- Calculate

The factors of the given polynomial is (x-10) (x+22) and the price of 5 kg papaya is 5x²-60x-1100.

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

Given:

p(x) = x² – 12x – 220

i) These two terms are 22x and -11x.

p(x) = x²-12x-220

p(x) = x²+22x-10x-220

Taking x common from the first two terms and -10 from the last two terms,

x(x+22)-10(x+22)

(x-10) (x+22)

ii) We are given that the rate of papaya per kg is p(x) = x²-12x-220.

1 kg = x²-12x-220

5 kg = 5(x²-12x-220)

5 kg = 5x²-60x-1100

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The sum of the lengths of the tables and the total length of overhang

give the length of fabric that Devon needs.

Response:

The given parameters are;

Length of the small tables = 6 feet

Length of the long tables = 10 feet

Length of overhang on each end = 8 inches

Number of small tables = 12

Number of long tables = 2 × 12 = 24

Required:

The yards of fabric needed to make the table runners.

Solution;

The total number of tables = 12 + 24 = 36

Length of overhang for each table = 8 inches + 8 inches = 16 inches

Sum of the length of the overhang = 36 × 16 inches = 576 inches

From the given unit conversion factors, we have;

Sum of the length of overhang = 576 inches ÷ 12 inch/feet = 48 feet

Length of the tables = 12 × 6 feet + 24 × 10 feet = 312 feet

Total length of table runner = 312 feet + 48 feet = 360 feet

Length of table runner needed = 360 feet ÷ 3 feet/yd = 120 yd.

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Answer:

1/6

Step-by-step explanation:

The equation for finding the slope of two points is (y2-y1)/(x2-x1) and if you plug those number into the equation you get 1/6 (simplest form)

Answer: The greater than or equal to sign means that you need a closed circle. Put a closed circle on 358. Make the arrow to the right of 358 because w is greater than 358

Step-by-step explanation:

50w + 100 ≥ 18000

-100 on both sides

50w ≥ 17,900

Divide both sides by 50

w ≥ 358

The greater than or equal to sign means that you need a closed circle. Put a closed circle on 358. Make the arrow to the right of 358 because w is greater than 358

Answer:

The revenue equation  is y=2.6x,

cost equation is y=x+2000

When the company makes profit only when  revenue > cost

Lets frame inequality using revenue > cost

Replace the revenue equation and cost equation

Now solve the inequality for x

Subtract 1x from both sides

Divide both sides by 1.6

The company makes profit when x is greater than 1250

Step-by-step explanation:

Answer:

Greater than 1250

x > 1250

Step-by-step explanation:

Base on  the revenue equation and cost equation , we can infer that the company make a profit when x > 1250

Important Given Information:

The revenue equation  is [tex]y=2.6x[/tex]

Cost equation is [tex]y = x+2000[/tex]

When the company makes profit only when: [tex]revenue > cost[/tex]

Let's frame inequality using: [tex]revenue > cost[/tex]

Replace the revenue equation and cost equation

[tex]Revenue > Cost: 2.6x > + 2000[/tex]

Now Let's solve the inequality for x

[tex]2.6x > 1x + 2000[/tex]

[tex]2.6x - 1x > 2000[/tex]        [tex][2.6x-1x=1.6x][/tex]

[tex]1.6x > 2000[/tex]

Divide both sides by 1.6 ( what you do on one side do to the other)

[tex]\frac{1.6x}{1.6}=\frac{2000}{1.6}[/tex]

[tex]x >1250[/tex]

Hence, the company makes profit when x is greater than 1250

[RevyBreeze]

Answer:

B) [tex]f^{-1}(x)=x+2[/tex]

Step-by-step explanation:

[tex]y=x-2[/tex]

replace [tex]y[/tex] with [tex]x[/tex]:  [tex]x=y-2[/tex]

Make [tex]y[/tex] the subject: [tex]y=x+2[/tex]

Therefore, [tex]f^{-1}(x)=x+2[/tex]

Answer:

C. No solution.

Step-by-step explanation:

Due to the y-intercepts (When the equation is in slope-intercept form: 1.5, and 3.5) we can identify that the equations are parallel from each other.

The slopes are the same, but the y-intercepts are different, the equations will be 2 (y) apart since each will intersect at different values. This means that both equations can't intersect with each other, making it impossible to find a solution.

Answer:

x=29

Step-by-step explanation:

Just as simple as substitution:

We will substitute in 16 for y

So the equation will look like 16=x-13

Isolate x:

Add 13 to both sides isolate the variable

-13+13=0

16+13=29

The new equation:

29=x

29-13 is 16.

Answer:

w=6

Step-by-step explanation:

5 + 2w = 17

Subtract 5 from each side

5-5 + 2w = 17-5

2w = 12

Divide each side by 2

2w/2  = 12/2

w = 6

Solution:

Note that:

To solve this problem, isolate the variable by subtracting 5 to both sides of the equation.

Then, divide 2 both sides to further isolate the variable.

The solution to the equation is 6.

Answer:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

x−4y=−45x−4y=12x-4y=-45x-4y=12

Answer:

527 cubic meters

Step-by-step explanation:

The area of the cube would be 7.5^3 and the area of the rectangular prism would be 3.75*3.75*7.5. Then it would be 421.9 + 105.5 and rounded to the whole number the answer would be 527

Answer:

26 in. x 9 in.

Step-by-step explanation:

27 / 9 =

3

78 / 3 =

26

9 inches by 26 inches

Answer:

Do you need help

Step-by-step explanation:

Answer:

(x+3)

2

=43

BY TAKING SQUARE ROOT ON BOTH SIDES

x + 3 = \sqrt{43}x+3=

43

OR

x + 3 = - \sqrt{43}x+3=−

43

THUS

x = \sqrt{43} - 3x=

43

−3

OR

x = - \sqrt{43} - 3x=−

43

−3

THIS QUADRATIC EQUATION HAS 2 SOLUTIONS SINCE √43 CAN BE A POSITIVE OR A NEGATIVE INTEGER. FOR EXAMPLE, 2^2=4

BUT, (-2)^2=4 Thus. √4=2 or (-2)

After this. Simply shifting the 3 on the LHS to keep 'x' on one side to find its value.

Taking the square root of both sides of the equation (x + 3)² = 43 will result in two solutions for x.

The correct option is C.

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

When taking the square root of both sides of the equation (x + 3)² = 43, we get:

x + 3 = ±√43

To solve for x, we can subtract 3 from both sides:

x = -3 ±√43

So there are two solutions for x:

x = -3 + √43

x = -3 - √43

Therefore, the solutions are x = -3 + √43 and x = -3 - √43.

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The equation that represents the amount that Arian should save is S = P x 20 / 100, and she should save $12 in case of earning a $60 paycheck.

Given that Arian wants to save 20% of his paycheck is an a savings account, to determine A) an equation to represent the amount Arian should save, S, from a paycheck in the amount of P dollars; B) create a table of value with five different paycheck amounts; and D) find how much of a $60 paycheck Arian should put into his savings account; the following calculations must be made:

Therefore, the equation that represents the amount that Arian should save is S = P x 20 / 100, and she should save $12 in case of earning a $60 paycheck.

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It is used to analyze and verify materials for quality assurance.PMI is used to prevent potential product failure in manfunctioning.

Answer:

Step-by-step explanation:

The number of tickets sold (q) at some price p is apparently ...

  q = 150 + 25(20 -p)/2 = 150 +250 -12.5p

  q = 12.5(32 -p)

The revenue is the product of the price and the number of tickets sold:

  r = pq

  r = 12.5p(32 -p) . . . . revenue equation

__

The maximum of revenue will be on the line of symmetry of this quadratic function, which is halfway between the zeros at p=0 and p=32. Revenue will be maximized when ...

  p = (0 +32)/2 = 16

The theater should charge $16 per ticket.

__

Maximum revenue will be found by using the above revenue function with p=16.

  r = 12.5(16)(32 -16) = $3200 . . . . maximum revenue

_____

Additional comment

The number of tickets sold at $16 will be ...

  q = 12.5(32 -16) = 200

It might also be noted that if there are variable costs involved, maximum revenue may not correspond to maximum profit.