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2 years ago

How do you do this?

2 answers:

6 0

So the trickiest part about these is finding how to get the middle term. The easiest way to do this is by multiplying your end terms, 3 and -8, and using the factors to find how to get the middle term:

3 x -8 = -24
Factors of 24 = 1,2,3,4,6,8,12,24

Now we need two of these factors to add to make +10, in this case it'd be 2 and 12. The reason this works is because our number is -24, so one of the factors is going to be negative, in this case we make the 2 negative: -2+12=10

Now we set up the equation like so:

3x^2 + 12x -2x - 8

Now simplify by pulling out common terms:

3x(x+4) - 2(x+4)
(3x-2)(x+4)

Ta-da, your polynomial is now 2 binomials

It takes lots of practice, but once you get the hang of it they get easier to do in your head. Keep at it!

Sholpan [36]2 years ago

4 0

put the first equation in the graphic calculator in y= #1 then in y=#2 put one of the answer choices, if the y1 & y2 match that will be your answer

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leslie decides to join a gym she must pay a monthly fee plus a one-time fee to open a membership this situation can be modeled b

goldfiish [28.3K]

"55x" shows that she has to pay $55 a month and the "+80" is a one time fee to open a membership

7 0

2 years ago

Read 2 more answers

A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func

Gemiola [76]

Answer:

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

$f(x) = -16x^{2} + 200x$

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

If $\bigtriangleup < 0$ , the polynomial has no solutions.

In this question:

$f(x) = -16x^{2} + 200x$

$-16x^{2} + 200x = 612$

$16x^{2} - 200x + 612 = 0$

We have to find $\bigtriangleup$

We have that $a = 16, b = -200, c = 612$ . So

$\bigtriangleup = (-200)^{2} - 4*16*612 = 832$

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

7 0

3 years ago

The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet. What are the dimensions

Ray Of Light [21]

ANSWER

B. 3 ft by 8 ft

EXPLANATION

The area is given as 24 square feet.

This implies that,

$l \times w = 24$

The perimeter of the rectangular field is given as 22 feet.

This implies that,

$2(l + w) = 22$

$l + w = 11$

We make w the subject in this last equation and put it inside the first equation.

$w = 11 - l$

When we substitute into the first equation we get;

$l(11 - l) = 24$

$11l - {l}^{2} = 24$

This implies that,

${l}^{2} - 11l + 24 = 0$

$(l - 3)(l - 8) = 24$

$l = 3 \: or \: 8$

When l=3, w=24

Therefore the dimension is 3 ft by 8 ft

3 0

2 years ago

Read 2 more answers

You start driving south for 2 miles, turn left, and drive east for another 9 miles. At the end of driving, what is your straight

yulyashka [42]

Use the Pythagorean Theorem: .

So your straight line distance is 10.

We can also recognize this as a multiple of the 3-4-5 Pythagorean triple. We have , with x being the desired value. Therefore x=10, like previously.

4 0

2 years ago

Read 2 more answers

75. Simplify the expression: -2x(4x^2 - 5x + 3)

Karolina [17]

-2x(4x² - 5x + 3) Distribute/multiply -2x into (4x² - 5x + 3)

(4x²)(-2x) - (5x)(-2x) + (3)(-2x)

-8x³ + 10x² - 6x

Your answer is the 3rd option

3 0

2 years ago