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3 years ago

Factor this trinomial: 5x^2-12x+4 Please show all work I'll give Brainliest

Mathematics

2 answers:

Usimov [2.4K]3 years ago

8 0

Answer:

(x - 2)(5x - 2)

Step-by-step explanation:

5x² - 12x + 4

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 4 = 20 and sum = - 12

the factors are - 10 and - 2

use these factors to split the x- term

5x² - 10x - 2x + 4 ( factor the first/second and third/fourth terms )

= 5x(x - 2) - 2(x - 2) ← factor out (x - 2) from each term

= (x - 2)(5x - 2) ← in factored form

Vinvika [58]3 years ago

7 0

Answer:

x = 2

x = 2/5

Step-by-step explanation:

multiply 5 and 4

5* 4 = 20

what 2 numbers added make -12 and multiplied make 20 at the same time?

-10 and -2 do this

5 ( x - 10/5) (x - 2/5) = 0

simplify

5 ( x - 2) ( x - 2/5) = 0

(5( x - 2) ( x - 2/5))/5 = 0/5

( x - 2) ( x - 2/5) = 0

x = 2 x = 2/5

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Paraphin [41]

Answer:

Graph A = 20miles/gallon

Graph B = 20

Step-by-step explanation:

For graph A, to find the change you will need to choose two points from the graph (the easier the better)

So for example, I've chosen 40miles-2gallons (2, 40) and point 0 (0, 0)

Now you will need to remember the slope formula which is:

$m=\frac{y_2-y_1}{x_1-x_2}$

so your point (x1, y1) will be (0, 0)

and point (x2, y2) will be (2, 40)

so $m=\frac{40-0}{2-0}$

which is $m=\frac {40}{2} = 20$

and so you get that the slope will be 20 miles/gallon

For graph B, what they want you to see is that change of y/change of x means the same as change of miles/change of gallons since x is the gallons and y is the miles.

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3 years ago

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Read 2 more answers

The height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the fun

notka56 [123]

Average rate = [h(3) - h(0)]/(3 - 0)
h(3) = 300 - 16(3)^2 = 300 - 16(9) = 300 - 144 = 156
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3 years ago

Solve each inequality and graph its solution 0>3x-3-6

trasher [3.6K]

Answer:

3 > x

Step-by-step explanation:

0>3x-3-6

Combine like terms

0>3x-9

Add 9 to each side

0+9>3x-9+9

9 > 3x

Divide each side by 3

9/3 > 3x/3

3 > x

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3 years ago