PLASS HELP ITS WORTH 20 points

        We will expand the factored form of (x − 9)(x − 1) into the same form as x² − 10x + 9 to show they are equal.

Distribute and multipy out:

(x − 9)(x − 1)

x * x = x²

x * -1 = -x

x * -9 = -9x

-9 * -1 = 9

Add together:

x² +  -x + -9x + 9

x² − 10x + 9

Use the Reflexive property:

x² − 10x + 9 = x² − 10x + 9 ✓

Answer:

Also the quadrilateral shown is a rhombus

Step-by-step explanation:

The value of David's investment will be at least $415 after a period of 20 years

The formula for calculating the compound interest is expressed as:

A = p(1+r)^t

Given the following parameters

Substitute

415 = 230(1+0.03)^t
415/230 = 1.03^t
1.8043 = 1.03^t
t = ln(1.8043)/ln1.03

t = 20 years

The value of David's investment will be at least $415 after a period of 20 years

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Answer:

put x= 2 and y = 1

and see this inequality will holds

Answer:

2106 m

Step-by-step explanation:

The completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)

The polynomial expression is given as;

12x⁴ + 39x³ + 9x²

Factor out 3x² from the expression

3x²(4x² + 13x + 3)

Expand

3x²(4x² + 12x + x + 3)

Factorize the expression

3x² * 4x(x + 3) + 1(x + 3)

Factor out x + 3

3x²(4x + 1)(x + 3)

Hence, the completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)

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The horizontal asymptotes the the point where the horizontal line cutes the y-axis. The horizontal asymptotes of the function is y =7

The horizontal asymptotes the the point where the horizontal line cutes the y-axis,

Given the function

j(x) = 14x³+45/2x³+9

Since the powers of both numerator and denominator is the same, we will take the ratio of their coefficient as shown

y = 14/2

y = 7

Hence the horizontal asymptotes of the function is y =7

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Answer:

1/15

Step-by-step explanation:

Total = 6 bottles

1 orange and apple

Without replacement:

P(orange and apple) = 1/6 x 1/5 = 1/15

Answer: Probability = 1/15

Answer:

I'd say 11 but could also be 30

Answer:

Because of the order of operations, we start the equation backwards because exponents are what we prioritize here.

[tex]3^2 = 9\\\\9 * 5 = 45\\\\\sqrt{-125} = -11.1803399\\\\45 - -11.1803399 = 56.1803399\\\\56.1803399 * 3 = \boxed{168.54}[/tex]                                      Result rounded to 2 DP

Answer:

Step-by-step explanation:

Answer:

[tex]2\pi[/tex]

That's it

Answer:

72 is the closest.The printer will primt 80 pages in one minute

Answer:

72

Step-by-step explanation:

12 pgs in 9 sec

*[tex]\frac{20}{3}[/tex]             *[tex]\frac{20}{3}[/tex]

≈80 pgs in 60 sec

Hope this helps!!!

Please mark me as brainliest!!!

please

that is the solution

Answer:8 miles

Step-by-step explanation:

Answer:

(6,8)

Step-by-step explanation:

The rule for 90 degree rotation is (x,y)=(-y,x)

So the answer is (6,8)

Answer:

=-3v-6

Step-by-step explanation:

Distribute:

=(−3)(v)+(−3)(1)+−3

=−3v+(−3)+(−3)

Combine like terms:

=(−3v)+(−3+(−3))

=−3v+−6

=-3v-6

Hope this helps, this was easy!

Answer:

X=1, Y=0

Step-by-step explanation:

Solve for X and Y using a2 +b2 = c2

Using proportions, it is found that your taxable income for this year is given by:

d. $37,735

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that $6,414.95 is 17% of his taxable income, hence it is given by:

T = 6414.95/0.17 = $37,735.

Which means that option D is correct.

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Answer:D

Step-by-step explanation:

bc its D

Answer:

he gave away 96 but depends how many friends he gave them to.

Step-by-step explanation:

It is also called Middle Term Splitting

Its a cool thing with which you can solve different orders of polynomials(or any algebraic expressions if you're a pro).

It is writing an expression as a product of 2 or more factors

Answer:

factorization is of writing a number or another mathematical use as a product of several factors, usually smaller of the same kind.

Step-by-step explanation

3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.

Answer:

[tex]\large \text{$ 4 x^{\frac{14}{3}}y^{\frac{8}{3}}$}[/tex]

Step-by-step explanation:

Given expression:

[tex](8x^7y^4)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a \cdot b)^c=a^{c} \cdot b^{c}:[/tex]

[tex]\implies 8^{\frac{2}{3}} \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]

[tex]\implies 4 \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 4 \cdot x^{\frac{14}{3}}\cdot y^{\frac{8}{3}}[/tex]

[tex]\implies 4 x^{\frac{14}{3}}y^{\frac{8}{3}}[/tex]

Expand [tex]\bf{(8x^{7}y^{4})^{\frac{2}{3} } }[/tex]

[tex]\bf{8^{\frac{2}{3} }(x^{7})^{\frac{2}{3} }(y^{4})^{\frac{2}{3} } }[/tex]

To raise a power to another power, multiply the exponents. Multiply 7 and 2/3 to get 14/3.

[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }(y^{4})^{\frac{2}{3} } }[/tex]

To raise a power to another power, multiply the exponents. Multiply 4 and 2/3 to get 8/3.

[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }y^{\frac{8}{3} } }[/tex]

Calculate 8 to the power of 2/3 and you get 2/4.

[tex]\bf{4x^{\frac{13}{4} }y^{\frac{8}{3} } \ \ ==== > \ \ \ Answer }[/tex]

Answer: 12.6%

Step-by-step explanation:

403,200/3,200,000 = 0.126

0.126 = 12.6%

The value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1

The expression is given as:

[tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex]

Take the LCM of terms of the expression

[tex]\frac{x}{x +3} + \frac{3}{x + 3} = \frac{x + 3}{x +3}[/tex]

Evaluate the quotient of x + 3 and x + 3

[tex]\frac{x}{x +3} + \frac{3}{x + 3} = 1[/tex]

Hence, the value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1

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Answer:

10 units

Step-by-step explanation:

calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 4, 4 ) and (x₂, y₂ ) = (4, - 2 )

d = [tex]\sqrt{(4-(-4))^2+(-2-4)^2}[/tex]

   = [tex]\sqrt{(4+4)^2+(-6)^2}[/tex]

    = [tex]\sqrt{8^2+36}[/tex]

    = [tex]\sqrt{64+36}[/tex]

    = [tex]\sqrt{100}[/tex]

     = 10

Answer:

domain: x > 1; range: all real numbers

Step-by-step explanation:

Given function:    [tex]f(x)=\log(x-1)+2[/tex]

Logarithms are not defined for zero or negative numbers.

[tex]\implies (x-1) > 0 \implies x > 1[/tex]

Therefore:

Answer:

B on edge

Step-by-step explanation:

Just took the test :)

Answer:

5/24 square mm

Step-by-step explanation:

A = lw

A = 5/8 x 1/3

A = 5/24

Answer:

y=12.5x

Step-by-step explanation:

The solution to the given quadratic expression using the completing the square is x = ±√-2 -5

This is a method of factoring quadratic expression. Given the quadratic function.

x^2 + 10x + 27 = 0

Subtract 27 from both sides

x^2 + 10x = -27

Complete the square

x^2 +10x +5^2 = -27 + 25

(x+5)² = -2
x +5 = ±√-2
x = ±√-2 -5

Hence the solution to the given quadratic expression using the completing the square is  x = ±√-2 -5

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