Express 2700 as a product of prime numbers or find the prime factorization of 2700 leaving
your answer in index form or notation

Answer: Choice A

========================================================

Explanation:

A perfect square trinomial is of the form

(m+n)^2 = m^2 + 2mn + n^2

We can see why this works through use of the FOIL rule.

So the first and last terms must be perfect squares, and they must be positive. This rules out choices B and D since we have -4 and -9 as those last terms being negative.

Choice C is ruled out because the middle coefficient -9 isn't correct. The middle coefficient must be some even number since 2 is a factor of 2mn.

This leaves choice A. We can do a bit of trial and error to find that

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

showing that choice A is a perfect square trinomial.

Answer:

A) x² - 4x + 4

Step-by-step explanation:

Given the following special factoring formulas on perfect square trinomials:

u² + 2uv + v² = (u + v)²

u² - 2uv + v² = (u - v)²

Apply these concepts on the given set of equations to see which special factoring formulas apply on the given options. I will only work on one of the given options, and you could apply these same techniques on the other ones to compare the results with your calculations.

To find the binomial factors of quadratic equations, you must find factors with product uv, and sum v.

In Option A: x² - 4x + 4

Right off the bat, it seems like the difference of squares may apply to this equation.  You must find the factors that will product of 4 and a sum of -4.

The possible factors are:

product uv: -2 × -2  = 4,

sum v :  -2 + -2 = -4

Hence, the binomial factor of x² - 4x + 4 =  (x - 2)²

If you expand this binomial through FOIL method:

(x - 2)(x - 2) = x² - 2x - 2x + 4 = x² - 4x + 4

This means that the trinomial x² - 4x + 4 produces a perfect square binomial factors of (x - 2)².

Therefore, the correct answer is Option A) x² - 4x + 4.

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Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Using the information given,

We can find the current monthly payment Sarah is making using the formula for the present value of an annuity:

[tex]PMT = PV \times r \times (1 + r)^n / [(1 + r)^{n - 1}][/tex]

where PV is the present value (balance), r is the monthly interest rate (APR/12), and n is the number of months (36).

PMT.

[tex]= 9450 \times 0.17/12 \times (1 + 0.17/12)^{36} / [(1 + 0.17/12)^{36} - 1][/tex]

= $338.48

To pay off the balance in 9 months, Sarah needs to increase her monthly payment.

Let's call this additional payment x.

Then, we have:

[tex]9450 \times 1.17^{9/12} = (338.48 + x) \times ((1 + 0.17/12)^{9 - 1}) / (0.17/12)\\[/tex]

Solving for x, we get:

x = $1125.77

Therefore,

Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.

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Answer:

Step-by-step explanation:

I’m sorry that i can’t fully help and that i answered it wrong twice i also got stuck. I hope someone else helps you and that you get an a

18 3/4 as an improper fraction is 75/4.

75/4 can be re-written as 1875/100 (multiply both sides by 25)

3/50 can be re-written as 6/100 (multiply both sides by 2)

Answer:

The answer is 'D'

Step-by-step explanation:

Answer:

you would need a square and a rectangle to equal that

Step-by-step explanation:

-14n⁴ + 7n² + 8n + 7

Step-by-step explanation:

(8n - 3n⁴ + 10n²) - (3n² + 11n⁴ - 7)

= 8n - 3n⁴ + 10n² - 3n² - 11n⁴ + 7

= -3n⁴ - 11n⁴ + 10n² - 3n² + 8n + 7

= -14n⁴ + 7n² + 8n + 7

Answer:

14

Step-by-step explanation:

Convert [tex]\frac{7}{2}[/tex] to a fraction with a common denominator

[tex]\frac{7}{2} (\frac{2}{2} )=\frac{14}{4}[/tex]

You now divide the fractions to find the amount of correct measurements needed.

[tex]\frac{\frac{14}{4} }{\frac{1}{4} }[/tex] For dividing by a fraction it is the same a multiplying by its reciprocal.

This becomes [tex]\frac{14}{4} (\frac{4}{1} )=\frac{14}{4} (4)=14[/tex]

You will need 14 correct measurements.

Answer:

4 days

Step-by-step explanation:

1 gallon = 8 pints !

Answer:

40.5714

Step-by-step explanation:

Based on the given conditions, formulate: 284 ÷ 7

Evaluate the equation/expression: 40.5714

get the result: 40.5714

Answer: 40.5714

Answer:

point slope form: y + 4 = 3/8 (x + 5)       slope intercept: y = 3/8x - 17/8

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-4) / 3 - (-5)

slope = 3/8

y + 4 = 3/8 (x + 5)

y = 3/8x + b

-1 = 3/8(3) + b

-1 = 9/8 + b

-17/8

y = 3/8x - 17/8

Answer:

no they are too far apart

Step-by-step explanation:

Answer:

I h ok honestly dont know that I'm so sorry

Answer:

3h=39

Step-by-step explanation:

Answer:

Using common knowledge each song is about 2 minutes and 50 seconds, so you can listen to about 100 songs, maybe more

Step-by-step explanation:

6-10=4hrs

4 hours divided by 2:50=

4 hours= 280 Minutes, 2:50 can be rounded to 3min, 280/3=93.3333333333

In other words, you can estimate to 94.

So the answer should be around 94

If possible brainliest?

Answer:

1.  16 ft

[tex]\sf 2.\quad \dfrac{29}{99}[/tex]

Step-by-step explanation:

Formula

Area of a square = s²  (where s is the side length)

Given:

Substitute the given area into the formula and solve for s:

[tex]\sf \implies 256=s^2[/tex]

[tex]\sf \implies \sqrt{256}=\sqrt{s^2}[/tex]

[tex]\sf \implies s=\pm 16[/tex]

As distance is positive, the length of one side of Keisha's kitchen is 16 ft.

Converting a recurring decimal to a fraction

Let x equal the recurring decimal:

[tex]\implies \sf x=0.292929...[/tex]

Create another number with recurring 29s by multiplying the above by 100:

[tex]\implies \sf 100x=29.292929...[/tex]

To solve these two equations and write x as a fraction, subtract the first equation from the second to remove all the recurring digits after the decimal point:

[tex]\begin{array}{r r c l}& \sf 100x &= &\sf 29.292929...\\- & \sf x&=& \sf \phantom{..}0.292929...\\\cline{1-4} & \sf 99x&=& \sf29\\\cline{1-4}\end{array}[/tex]

Therefore:

[tex]\implies \sf 99x=29[/tex]

[tex]\implies \sf x=\dfrac{29}{99}[/tex]

Therefore:

[tex]\sf \implies 0.\overline{29}=\dfrac{29}{99}[/tex]

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Answer:

Subtract 15 from both sides

Step-by-step explanation:

Answer:

9 dollars

Step-by-step explanation:

12+16+8 is 36, 45-36 is 9 :)

The answer is the second one

Answer:

(2, -3)

Step-by-step explanation:

Your answer was in the question, just apply the rule that was given (x, -y).

The coordinates of C(2, -3).

A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

Given:

The Rule for reflection is  (x,y) =(x,-y).

As, the coordinates C(2, 3).

Now, after applying the reflection the coordinate of C become

c(2, 3) ----> C(2, -3).

Hence, the coordinates of C(2, -3).

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Answer: I helped you. Troll!

1. If the square of a number is added to 8 times the number, the result is 100.

Let x be the number.

Equation: x² + 8x - 100 = 0

2. Mr. Apoloan wants to lay out a rectangular playground which will contain 30 square feet. The desired length will be 7 times the width.

Area: 30ft²

Length: 7w

Width: w

Area of a rectangle: LW

(7w)w = 30ft²

Equation: 7w² - 30 = 0

Answer:

$850

Step-by-step explanation:

you multiply 7 x 100 because there are 7 days in 1 week. That equals 700 plus 150 equals 850

Sam currently has $150 in a savings account and is saving 10$ per week. equation  y=150+10x represents the situation.

Two or more expressions with an Equal sign is called as Equation.

Given, sam currently has $150 in a savings account and is saving $10 per week.

The total amount of savings in dollars is represented by y.

x represents the number of weeks

The equation y=150+10x.

y equal to one hundred and fifty plus ten times of x.

Hence, Sam currently has $150 in a savings account and is saving 10$ per week. Equation  y=150+10x represents the situation.

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Answer:

m = -12

Step-by-step explanation:

everything is ok til the 3rd equation line

-15m - 30 = -12m + 6

-30 - 6 = -12m + 15m

-36 = +3m

-36/3 = m--------> 3 x -12 = - 36

-12 = m

Answer:

7x-7=0

5x-9=4x

4x(9)=36

x=36

Answer:

Option D portrays that

Matrix A multiplied by an identity matrix equals Matrix A