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3 years ago

What is the GCF?6x² + 24x

Mathematics

1 answer:

Gelneren [198K]3 years ago

3 0

Answer:

6x(x + 4)

Step-by-step explanation:

Both 6x^2 and 24x are divisible by 6x

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It is opposite of what the equation is saying. Like if you had to add you would subtract or if you multiply you would divide.

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3 years ago

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Which expression is equivalent to [(3xy^-5)^3/(x^-2y^2)^-4]^-2?

Mademuasel [1]

Answer:- a.The given expression is equivalent to $\frac{x^{10}y^{14}}{729}$

Given expression:- $[\frac{(3xy^{-5})^3}{(x^{-2}y^2)^{-4}}]^{-2}$

$=[\frac{(3)^3x^3y^{-5\times3}}{x^{-2\times-4}y^{2\times-4}}]^{-2}.........(a^m)^n=a^{mn}$

$=[\frac{27x^3y^{-15}}{x^8y^{-8}}]^{-2}$

$=[27x^{3-8}y^{-15-(-8)}]^{-2}............\frac{a^m}{a^n}=a^{m-n}$

$=[27x^{-5}y^{-7}]^{-2}=(27)^{-2}(x^{-5})^{-2}(y^{-7})^{-2}.........(a^m)^n=a^{mn}$

$=\frac{1}{(27)^2}(x^{10}y^{14})=\frac{x^{10}y^{14}}{729}$

Thus a. is the right answer.

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3 years ago

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Alex makes 60% of the shots he takes in basketball. What is the probability that Alex

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Answer:60/100

Step-by-step explanation:

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Harper plans to purchase her school pictures. The prints cost $108 plus any add-ons she wants to purchase. If she saves $18 per

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Answer:

It will take 6 weeks

Step-by-step explanation:

Weeks = x

$18x = $108

X = $108/$18

X = 6

So 6 weeks

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3 years ago

A quadratic relation has zeros at 3 and –5. The parabola goes through the point (2, –14). What is the equation of the parabola i

olasank [31]

Answer:

$\displaystyle 2 {x}^{2} + 4x - 30 = 0$

Step-by-step explanation:

we are given the zeros and a point where it goes through of a quadratic equation

remember that when the roots are given then the function should be

$\displaystyle \: y = a(x - x_{1})(x - x_{2})$

where a is the leading coefficient and x1 and x2 are the roots

substitute:

$\displaystyle y = a(x - (3))(x - ( - 5))$

simplify:

$\displaystyle y = a(x - 3)(x + 5)$

now the given point tells us that when x is 2 y is -14 therefore by using the point we can figure out a

substitute:

$\displaystyle a(2 - 3)(2 + 5) = - 14$

simplify parentheses:

$\displaystyle a( - 1)(7) = - 14$

simplify multiplication:

$\displaystyle - 7a = - 14$

divide both sides by -7:

$\displaystyle a = 2$

altogether substitute:

$\displaystyle y = 2(x - 3)(x + 5)$

since it want the equation y should be

$\displaystyle 2(x - 3)(x + 5) = 0$

recall quadratic equation standard form:

$\displaystyle {ax}^{2} + bx + c = 0$

so simplify parentheses:

$\displaystyle 2( {x}^{2} + 2x - 15 ) = 0$

distribute:

$\displaystyle 2 {x}^{2} + 4x - 30 = 0$

hence,

the equation of the parabola in standard form is 2x²+4x-30=0

8 0

3 years ago

What is the GCF?6x² + 24x​

What is the GCF?6x² + 24x