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3 years ago

Factor 4m2 – 16m + 15 completely.

Mathematics

1 answer:

Paul [167]3 years ago

7 0

Answer:

(2m -3)(2m -5)

Step-by-step explanation:

You can do this several ways. One of my favorites is to graph the expression to find its zeros. They are 3/2 and 5/2, so the factoring can be ...

... 4(x -3/2)(x -5/2) = (2x -3)(2x -5) . . . . . . after eliminating fractions

_____

You can also look for factors of 4·15 ("ac") that add to give -16 ("b"). Since "b" is negative, both factors will be negative.

... 4·15 = 60 = (-1)(-60) = (-2)(-30) = (-3)(-20) = (-4)(-15) = (-5)(-12) = (-6)(-10)

The pair -6, -10 has a sum of -16, so we can rewrite the expression as ...

... 4m^2 -6m -10m +15 . . . . . . . replace -16m with -6m -10m (order doesn't matter)

and factor pairs of terms

... (4m^2 -6m) -(10m -15) = 2m(2m -3) -5(2m -3) . . . . . there is a common factor between the pairs

... = (2m -5)(2m -3)

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In this problem, the order in which the flags are visited is important, hence the permutation formula is used to solve this question.

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The number of possible permutations of x elements from a set of n elements is given by:

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More can be learned about the permutation formula at brainly.com/question/25925367

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1 year ago

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Answer: where’s the photo/attachment??

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3 years ago

Is (2,4) a solution of 3x - y = 2?

guajiro [1.7K]

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2 years ago

Read 2 more answers

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Lady_Fox [76]

Answer:

A = $7,350.00

Step-by-step explanation:

Equation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 9%/100 = 0.09 per year.

Putting time into years for simplicity,

30 months / 12 months/year = 2.5 years.

Solving our equation:

A = 6000(1 + (0.09 × 2.5)) = 7350

A = $7,350.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.

* Therefor, the answer is $7,350.00.

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3 years ago

The Brown Office Rental Company has purchased a new computer for the secretary to use for customer requests. She can type 70 wor

Vladimir [108]

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So Your answer is going to be letter G

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3 years ago