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2 years ago

Jill has a small treasure box

Mathematics

1 answer:

zmey [24]2 years ago

4 0

Jill has a small treasure box
=small treasure box in possession of jill

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Please factor completely: <br><br> 20x^2 - 102x + 54

Temka [501]

Answer:

The answer to your question is 2(x - 9/2)(x - 3/5)

Step-by-step explanation:

Polynomial 20x² - 102x + 54

Process

1.- Find the Greatest Common Factor

20 102 54 2

10 51 27 2

5 51 27 3

5 17 9 3

5 17 3 3

5 17 1 5

1 17 17

GCF = 2

2.- Factor 2

2(10x² - 51x + 27)

3.- Factor 10x² - 51x + 27

Use the general formula to solve this equation

x = $\frac{-b +- \sqrt{b^{2} - 4ac}}{2a}$

a = 10 b = -51 c = 27

x = $\frac{51 +- \sqrt{51^{2} -4(10)(27)}}{2(10)}$

-Simplification

x = $\frac{51 +- 39}{20}$

-Result

x₁ = 9/2 x₂ = 3/5

(x - 9/2) (x - 3/5)

4.- Answer

2(x - 9/2)(x - 3/5)

5 0

2 years ago

The store has sold 90 notebooks which is 20% of all the notebooks they had how many notebooks did the store have at first

kirill115 [55]

90 is 20% so

90 x 5 = 450 note books

4 0

3 years ago

True or false -3>7(1)-10

zubka84 [21]

Answer:

false

Step-by-step explanation:

7(1)-10=-3

which means -3=7(1)-10

5 0

3 years ago

Write a quadratic equation in standard form with x-intercepts (-3, 0) and (4, 0) that passes through (2, -20).

jeka57 [31]

Answer:

The equation in standard form is: $y=2x^2-2x-24$

Step-by-step explanation:

Since they give you the x-intercepts (the zeros of the quadratic expression) one knows that the binomials: (x-(-3)) and (x-4) must be factors of the quadratic expression.

We can therefore write the equation as:

$y=k\,(x+3)(x-4)$

using the binomial factors given above, and a numerical factor "k" that we can determine by using the information that the graph passes through the point (2,-20):

$y=k\,(x+3)(x-4)\\-20=k\,(2+3)(2-4)\\-20=k\,(5)(-2)\\-20=k\,(-10)\\k=\frac{-20}{-10} \\k=2$

Then,the equation can be written as:

$y=2\,(x+3)(x-4)\\y=2(x^2-x-12)\\y=2x^2-2x-24$

where we wrote the equation already in standard form

5 0

2 years ago

Don't be childish I will report thanks

Leya [2.2K]

Answer:

I got no solution :0

7 0

2 years ago