Mathematics, 03.01.2021 20:10, walkerrwilson

PLEASE HELP! Is the following trinomial factorable why or why not
h=-4(4t^(2)-9t+2)

Answers: 2

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answered: Deagon83951

h = -4(t - 2)(4t - 1)

Step-by-step explanation:

Given trinomial

h= -4(4t² - 9t + 2)

Let's try to factor 4t² - 9t + 2

First find it's zeros:

t = (9 ± √9² - 4*4*2)/(2*4) t = (9 ± √81 - 32)/8t = (9 ± 7)/8t = 2 and t = 1/4

So yes, it is factorable:

4t² - 9t + 2 = 4(t - 2)(t - 1/4)or4t² - 9t + 2 = (t - 2)(4t - 1)

The given trinomial factored:

h = -4(t - 2)(4t - 1)

answered: jlegrand9098

Yes, this trinomial -4(4t² -9t + 2) is factorable.

It is h =(-4)(4t -1 )(t -2) converted from the explanation

$y\ =\left(-4\right)\left(4x\ -1\right)\left(x\ -2\right)$

A graph of the equation is in the attachment. There are two equations, but only one graphed parabola because they are identical.

Step-by-step explanation: I am using x in place of t in this explanation, and leaving out the factored (-4) to simplify.

Using the systematic new AC Method to factor trinomials (Socratic Search) Starting with a quadratic equation in the form

y = ax² + bx + c

This involves converting the equation by multiplying the leading coefficient, a, times the constant, c

y =4x² –9x + 2

=4(x + p)(x + q)

Converted trinomial:

y' = x² –9x + 8

= (x + p')(x + q').

Here p' and q' will have the same – signs because the b term is negative and the c term is positive.

Factor pairs of ac = 8 are -1 and –8. This sum is –9 = b. Then p' = -1 and q' = -8.

Then divide the second factor by the original coefficient, 4.

Replacing the original leading factor (-4) the factored equation looks like

y = -4(4x - 1)(x - 2)

To solve for x

p =p’/a = ¼ or 4x - 1 = 0 4x = 1 x = ¹/₄

and

q ='q/a

= 8/4 = 2 OR x -2 = 0 x = 2

The second attachment shows some other ways to set up the equation without the (-4) to solve, and then replace that factor. You get the same values for x.

I hope this helps and is not too confusing. There may be other ways to factor this equation.

PLEASE HELP! Is the following trinomial factorable why or why not
h=-4(4t^(2)-9t+2)

answered: Guest

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

answered: Guest

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

$m=y/x=1/3$

the equation of the dashed line is

$y=(1/3)x$

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

$y> (1/3)x$

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

$m=(4-0)/(0-4)=-1$

the equation of the solid line is

$y=-x+4$

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

$y\leq-x+4$

step 3

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

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PLEASE HELP! Is the following trinomial factorable why or why not
h=-4(4t^(2)-9t+2)...