What is the GCF of the numerator and denominator in the following fraction?

Answer:

x=2

Step-by-step explanation:

[tex]x^2-4x=-4[/tex]

[tex]x^2-4x+4=-4+4[/tex] (Add 4 to both sides)

[tex]x^2-4x+4=0[/tex]

Now, we can solve it using quadratic formula

[tex]x_{1,\:2}=\cfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4* \:1* \:4}}{2* \:1}[/tex]

[tex]x_{1,\:2}=\cfrac{-\left(-4\right)\pm \sqrt{0}}{2* \:1}[/tex]

[tex]x=\cfrac{-\left(-4\right)}{2* \:1}[/tex]

[tex]x=2[/tex]

~

Answer 1:

7x-16xy-2

Answer 2:

4bc-5

Answer 3:

7-3x+y

3x+10

-2x²y

*Remove the parentheses for addition or subtraction*

[tex]7x-\left(4xy+12xy\right)-2[/tex]

*Determine the sign*

[tex]7x-4xy-12xy-2[/tex]

*Reorder and gather like terms*

[tex]7x+\left(-4xy-12xy\right)-2[/tex]

*Collect coefficients of like terms*

[tex]7x+\left(-4-12\right)\timesxy-2[/tex]

*Calculate the sum or difference*

[tex]7x-16xy-2[/tex]

*Simplify or expand*

[tex]5bc-\left(5+bc\right)[/tex]

*Remove the parentheses for addition or subtraction*

[tex]5bc-5-bc[/tex]

*Reorder and gather like terms*

[tex]\left(5bc-bc\right)-5[/tex]

*Collect coefficients of like terms*

[tex]\left(5-1\right)[/tex] [tex]\times[/tex] [tex]bc-5[/tex]

*Collect the sum or difference*

[tex]4bc-5[/tex]

*Simplify or expand*

[tex]7+(2x-5x)+y[/tex]

*Determine the sign*

[tex]7+2x-5x+y[/tex]

*Reorder and gather like terms*

[tex]7+\left(2x-5x\right)+y[/tex]

*Collect coefficients of like terms*

[tex]7+\left(2-5\right)\timesx[/tex] [tex]\times[/tex] [tex]x+y[/tex]

*Calculate the sum or difference*

[tex]7-3x+y[/tex]

*Simplify or expand*

[tex]6x+10+(3x-6x)[/tex]

*Determine the sign*

[tex]6x+10+3x-6x[/tex]

*Reorder and gather like terms*

[tex](6x+3x-6x)+10[/tex]

*Collect coefficients of like terms*

[tex](6+3-6)[/tex] × [tex]x+10[/tex]

*Apply the Inverse Property of Addition*

[tex]3x+10[/tex]

*Simplify or expand*

[tex]3x^{2} y-5x^{2} y[/tex]

*Collect coefficients of like terms*

[tex](3-5)x^{2} y[/tex]

*Calculate the sum or difference*

[tex]-2x^{2} y[/tex]

Answer:

3 sides

Step-by-step explanation:

A triangle has 3 sides.

Answer:

its 3

Step-by-step explanation:

you can know this if you have eyes:)

Answer: 20.4

Step-by-step explanation:

Answer:

18x2y^2^3√3xy2 <-- scratch that its D

Step-by-step explanation:

Answer:

f(x) = x – 4

checking for all the functions by replacing x as 3

f(x) = 4 – x

f(3) = 4 - 3

f(3) = 1

does not match

f(x) = –4x

f(3) = -4(3)

f(3) = -12

does not match

f(x) = x + 4

f(3) = 3 + 4

f(3) = 7

does not match

f(x) = x – 4

f(3) = 3 - 4

f(3) = -1

matches

Answer:

f(x) = x - 4

Step-by-step explanation:

The options are:

f(x) = 4 – x

f(x) = –4x

f(x) = x + 4

f(x) = x – 4

For f(x) = 4 – x, when x=3, f(x)=1 so it cannot be right.

For f(x) = –4x, when x=3, f(x)=-12 so it cannot be right either.

f(x) = x + 4, when x=3, f(x)=7 so it cannot be right.

The only choice left which is also the right answer is f(x) = x – 4

441

Step-by-step explanation:

420-5%=399 so the diference is 21 so 21+420=441

We have given that,

interest rate = 2.76%

simple interest = 3,090

term = 15 years

[tex]Simple Interest = Principal * interest rate * term[/tex]

[tex]3,090 = Principal * .0276 * 15\\3,090 = Principal * 0.414\\3,090 / 0.414 = Principal\\7,463.77 = Principal[/tex]

Therefore,Nate should invest 7,463.77 to meet his goal.

To learn more about the simple  interest visit:

https://brainly.com/question/25793394

Answer:

1/2

Step-by-step explanation:

Answer:

The 18th term of the geometric sequence is [tex]a_{18}=129140163[/tex]

Step-by-step explanation:

[tex]a_n=a_1(r)^{n-1}\\\\a_{18}=1(3)^{18-1}\\\\a_{18}=3^{17}\\\\a_{18}=129140163[/tex]

Answer:

  x -2y = 0

Step-by-step explanation:

A perpendicular bisector is a line perpendicular to a given line or segment that goes through the midpoint between given points. The perpendicular line will have a slope that is the opposite reciprocal of the slope of the segment between the given points.

__

The midpoint between A and B is ...

  M = (A +B)/2

  M = ((5, 5) +(7, 1))/2 = (12, 6)/2 = (6, 3)

The slope of the line between A and B is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -5)/(7 -5) = -4/2 = -2

__

The opposite reciprocal of the slope of the given segment is ...

  m' = -1/-2 = 1/2

The point-slope form of the equation of the perpendicular bisector can be written as ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -3 = 1/2(x -6) . . . . line with slope 1/2 through point (6, 3)

Multiplying by 2 gives ...

  2y -6 = x -6

Subtracting (2y -6) gives the standard-form equation ...

  x -2y = 0

Answer:

(a) The ones that are equivalent to the given fraction are: [tex]\frac{2}{-9}[/tex] and [tex]-\frac{2}{9}[/tex]

(b) The one that is equivalent to the given fraction is: [tex]\frac{-8}{-5}[/tex]

Answer: 8.2m

Step-by-step explanation:

Let the hook that is 2m from the base represent a

Let the height of the flagpole represent b

The length of the rope (hypotenuse) is c

[tex]\begin{aligned}&a^{2}+b^{2}=c^{2} \\&2^{2}+8^{2}=c^{2} \\&4+64=c^{2} \\&\sqrt{68}=\sqrt{c}^{2}\end{aligned}\\c= 8.25m[/tex]

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

given

(2x + 5)(2x - 1) ← expand using FOIL

(a)

= 4x² - 2x + 10x - 5 ← collect like terms

= 4x² + 8x - 5

(b)

using the method of completing the square on

4x² + 8x - 5 ← factor out 4 from the 1st 2 terms

= 4(x² + 2x) - 5

to complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 2x

= 4(x² + 2(1)x + 1 - 1) - 5

= 4(x + 1)² - 4 - 5

= 4(x + 1)² - 9

Answer:

Step-by-step explanation:

y < 2 + 3

2 < 5

This statement is correct

Answer:

It would be 35100.

Answer:

Step-by-step explanation:

f ( - 7 ) = [ 2 ( - 7 ) - 3]( - 7 + 6 )[ 5 ( - 7 ) + 6 ] = ( - 17 )( - 1 )( - 29 ) < 0 , Negative

f ( - 5 ) = [ 2 ( - 5 ) - 3]( - 5 + 6 )[ 5 ( - 5 ) + 6 ] = ( - 13 )( + 1 )( - 19 ) > 0 , Positive

f ( - 1 ) = [ 2 ( - 1 ) - 3]( - 1 + 6 )[ 5 ( - 1 ) + 6 ] = ( - 5 )( + 5 )( + 1 ) < 0 , Negative

The answer is (A) " f " is always POSITIVE

The temperature in a particular city to decrease at a constant rate of 3°F per hour.

An equation is an expression that shows the relationship between two or more numbers and variables.

At 2:00 a.m., the temperature was 54 degrees Fahrenheit, and at 5:00 a.m., the temperature was 45 degrees Fahrenheit. Hence:

Rate of change = (45°F - 54°F) / (5 - 2) = -3

The temperature in a particular city to decrease at a constant rate of 3°F per hour.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

3/5 as a decimal is 0.6 and it is terminating not repeating

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

17-9=8 so the answer is 8

[tex][Hello,BrainlyUser][/tex]

Is your question incomplete?

Answer:

$148.80

Step-by-step explanation:

Tip = Increase also known as Add

$124.00 x 20% =24.80
$124.00 + 24.80= 148.80

As you can see it not an answer choice

.Please tell me if it missing anything..

[CloudBreeze]

Answer:

[tex]31.98[/tex]

Step-by-step explanation:

Given the following question:

41% of 78

In order to find the answer, we will use the formula to calculate percentages and solve.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{41\times78}{100} =41\times78=3198\div100=31.98[/tex]
[tex]=31.98[/tex]

41% of 78 is indeed "31.98."

Hope this helps.

Check the picture below.

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{149\times 149}{22201}\\ h=91 \end{cases}\implies V=\cfrac{(22201)(91)}{3}\implies V=673430.\overline{3}~m^3[/tex]

Answer:

240 members

Step-by-step explanation:

Let y = total and x = no. of months

y = 40x + 120

= 40(3) + 120

= 120 + 120

= 240 members

Answer:

x = 12 , y = 60

Step-by-step explanation:

The figure has 2 pairs of parallel sides and is therefore a parallelogram.

The opposite sides and opposite angles are congruent , then

x + 3 = 15 ( subtract 3 from both sides )

x = 12

and y = 60

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