A number is multiplied by 4, then 5 is added. The result is 21. Write an equation to represent this situation.

The simplified expression for the given algebraic expression [tex]a^{2} c^{2} -b^{2} c^{2} -4a^{2} d^{2} +4b^{2} d^{2}[/tex] is [tex](a+b)(a-b)(c+2d)(c-2d)[/tex]

As per the question statement, we are given an algebraic expression

[tex]a^{2} c^{2} -b^{2} c^{2} -4a^{2} d^{2} +4b^{2} d^{2}[/tex] and we are supposed to solve and simplify it.

Solution:

[tex]a^{2} c^{2} -b^{2} c^{2} -4a^{2} d^{2} +4b^{2} d^{2}\\c^{2} (a^{2} -b^{2})-4d^{2}(a^{2} -b^{2})\\(a^{2} -b^{2})(c^{2}-4d^{2})\\(a^{2} -b^{2})(c^{2}-(2d)^{2})\\[/tex]

Have used Distributive property for solving and simplifying the above algebraic expression.

Now using the property, [tex]a^{2} -b^{2} =(a+b)(a-b)[/tex]

We get,

[tex](a+b)(a-b)(c+2d)(c-2d)[/tex]

Therefore [tex](a+b)(a-b)(c+2d)(c-2d)[/tex] is our required answer.

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Answer:

34

Step-by-step explanation:

62-35=17

17/.50=34

Answer:

it 21

Step-by-step explanation:

its 21

Answer:21

Step-by-step explanation:

Answer:

Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V

Step-by-step explanation:

9v

The polynomial function for the volume V of the tray in terms of x will be;

⇒ 4x³ - 30x² + 54x

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

Lucy cuts 4 squares with side length x inch from the corners of a 6 inch by 9 inch cardboard rectangle.

She folds the remaining cardboard to make a tray that is x inch high

Now,

By the give condition we get;

Length of tray = 9 - 2x

Width of tray = 6 - 2x

Height of tray = x

So., The volume of the tray is expressed as;

Volume = x (9 - 2x) (6 - 2x)

             = x (54 - 18x - 12x + 4x²)

             = x (54 - 30x + 4x²)

             = 4x³ - 30x² + 54x

Thus, The polynomial function for the volume V of the tray in terms of x will be;

⇒ 4x³ - 30x² + 54x

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Answer:

for 13.) angles 4, 5 and 8 equal 135 and 3, 6 and 7 equal 45

for 14.) 1 equals 120 and 2 equals 60

Answer:

4x² - 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Expression

(7x² - 5x + 6) + (-3x² + 5x - 14)

Step 2: Simplify

Given that,

Total no of cards = 20

The ratio of animal cards to fruit cards is 2:3

No of animal cards = 20

Solution,

Let there are 2x animal cards and 3x fruit cards. ATQ,

2x+3x = 20

5x = 20

x = 4

Animal cards = 2x

= 2(4)

= 8

Fruit cards = 3x

= 3(4)

= 12

It is also mentioned that, of the cards, 1/3 have bananas on them. It means,

[tex]B=\dfrac{1}{3}\times 12\\\\=4[/tex]

Hence, 4 cards have bananas on them.

Answer:

b=−12

Step-by-step explanation:

Answer: p= (-0.10)x + 31

Step-by-step explanation:

m is the slope, and we know that each time they need to drop $0.10 so that is our slope. For the b we just need to get $0.10 times 260 cards that need to sell and add 5 and we get 31. So, the equation is p= (-0.10)x + 31.

Thank you if you can give me the brainliest.

Answer:

your answer is 3 the value of x is 3

Given:

Length of a carton = [tex]2\dfrac{2}{3}[/tex] feet

Width of a carton = [tex]1\dfrac{1}{8}[/tex] feet

Height of a carton = [tex]1\dfrac{1}{5}[/tex] feet

To find:

The volume of the carton.

Solution:

We know that, volume of the carton is

[tex]V=length\times width \times height[/tex]

Putting the values, we get

[tex]V=2\dfrac{2}{3}\times 1\dfrac{1}{8} \times 1\dfrac{1}{5}[/tex]

[tex]V=\dfrac{(2\times 3)+2}{3}\times \dfrac{(1\times 8)+1}{8} \times \dfrac{(1\times 5)+1}{5}[/tex]

[tex]V=\dfrac{8}{3}\times \dfrac{9}{8} \times \dfrac{6}{5}[/tex]

Taking LCM, we get

[tex]V=\dfrac{18}{5}[/tex]

[tex]V=3\dfrac{3}{5}[/tex]

So, the volume is [tex]3\dfrac{3}{5}[/tex] cubic feet.

Therefore, the correct option is A.

Answer:

if the line keeps going and theynever touch

Step-by-step explanation:

Answer:

Two lines are parallel when are side by side and if the lines kept on going, they would never collide with each other

Step-by-step explanation:

Answer:

C. 3h - 6

Step-by-step explanation:

The total charges are $197.55.

According to the statement

We have to find that the total charges.

So, For this purpose, we know that the

A equation is an algebraic equation of the shape y=mx+b. involving only a continuing and a first-order (linear) term, where m is that the slope and b is that the y-intercept.

From the given information:

He fumigated 3 rooms in one house, 2 in another, and 4 in an exceedingly third.

Then

Landon Elliott takes charges to fumigate each room = $21.95

He fumigated rooms on Monday  = 3 + 2 + 4 = 9 rooms

His total charges = 21.95 × 9

His total charges= $197.55.

So, The total charges are $197.55.

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Question:

Landon Elliott fumigates rooms and charges $21.95 per room.

On Monday, he fumigated 3 rooms in one house, 2 in another, and 4 in a third. Find his total charges.

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Answer:

slope: -1/3     y intercept: 2

Step-by-step explanation:

I'm also in Algebra 1 and I'm not completely sure.

Answer:

which angle relarion send angle photo also

Answer:

LN i think.. i'm not sure tho

Step-by-step explanation:

Answer:

72 pies

Step-by-step explanation:

24 pies + 48 pies = 72 pies

Answer:

-20x + 15

Step-by-step explanation:

Answer:  -20x + 15

Step-by-step explanation:  

5(x + 3 - 5x)

5(-4x +3)

5(-4x +3)

Answer:

Option E

Step-by-step explanation:

please mark me braibliest

Answer:

d? im probably not correct

Step-by-step explanation:

Answer:

in my knowledge I think 13

we know the turtle is half as old as her parrot

so if we divide 10 by 3/4 we can get how old the turtle is

Answer: The slope is 2/3, y=2/3x+1

Step-by-step explanation: The 2 points, (3,3) and (6,5), use the method y2-y/x2-x1. Then you find the slope that way, then use point slope form for the slope intercept form: y-y1=m(x-x1), then substitute and solve to get y=2/3x+1

Answer:

Multiply by 100

Step-by-step explanation:

The equation is given as:

-m + 0.02 + 2.1m = -1.45 - 4.81m

To eliminate the decimals from all the terms, we must multiply by a number that make all the coefficients integers.

The decimal coefficients and independent terms are

0.02, 2.1, 1.45, 4.81

Note the maximum number of decimals found in all of them is 2. Thus, multiplying by 100 all the decimals will vanish as follows:

100(-m + 0.02 + 2.1m) = 100(-1.45 - 4.81m)

-100m + 2 + 210m = -145 - 481m

Now all terms have integer coefficients as required.

Answer: Multiply by 100

Answer:

y = 16

Step-by-step explanation:

You would plug in the value given for x into the function given.

[tex]\frac{1}{3}(18) + 10[/tex]

Type that into a calculator and this would give you the output, which would be the value for Y.

The value for Y is 16.

Hope this helps.

Answer:

a = (b + c)/(bx - 1)

Step-by-step explanation:

Given

x= (a+b+c)/(ab)

Solving for a

x = (a + b+ c)/(ab)

abx = a + b+ c

abx - a = b + c

a(bx - 1) = b + c

a = (b + c)/(bx - 1)

Answer:

No solutions

Step-by-step explanation:

In this question, you would be solving for x.

Solve:

5 + 2(3 + 2x) = x + 3(x + 1)

Use the distributive property.

5 + 6 + 4x = x + 3x + 3

Combine like terms.

11 + 4x = 4x + 3

Subtract 4x from both sides.

11 = 3

Since we don't have an "x value", there are no solutions.

"No solutions" would be your answer.

Answer:

this is easy its C . BC is the shortest side

Step-by-step explanation:

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