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2 years ago

Factor (x^2-9) (x^2-16)

Mathematics

2 answers:

sveticcg [70]2 years ago

4 0

$(x^2 -9)(x^2 -16)\\\\=(x^2 -3^2)(x^2 -4^2)\\\\=(x+3)(x-3)(x+4)(x-4)$

MrRissso [65]2 years ago

3 0

Answer:

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

Step-by-step explanation:

( x^2 - 9 ) ( x^2 - 16 )

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

Hopefully this helps!

Brainliest please?

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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.

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3 years ago

An item is priced at $13.76. If the sales tax is 7%, what does the item cost including sales tax?HURRY

elixir [45]

How To Solve It:

$13.76 x 0.07 = $0.96

$13.76 + $0.96 = $14.72

Answer:

$14.72

I hope this helps! :)

6 0

3 years ago

Plz Helps, Lots of points in here

Vitek1552 [10]

Well.. instead of k he could have put 7. He should know that x and y are cut in half of their original values.
Hope I helped you!

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3 years ago

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JJ decides to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheesebu

Lady_Fox [76]

Answer: $9.20

Step-by-step explanation: To get the answer, you add both the cost and multiply it by .15. Then you add the product to the number you got adding the cost of the food.

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3 years ago

Read 2 more answers

Need step by step detailed answer

kolezko [41]

Answer:

y = -4x - 4

Step-by-step explanation:

If we have two lines in slope intercept form as

$y = m_1x + c_1 \text{ and}\\y = m_2x + c_2\\$

then the product of the slopes $m_1m_2 = -1$

In other words, $m_2 = -\frac{1}{m_1}$

We have the first line as

$y = \frac{1}{4}x + 5\\\\$

The slope of this line is $\frac{1}{4}$

The slope of a perpendicular line will be the negative of the reciprocal of this line

Reciprocal of 1/4 is 4

So slope of perpendicular line is -4 which implies

y = -4x + c

We have to determine c

Since the line passes through (-3, 8), plug in these values for x and y in the equation and solve for c

8 = (-4)(-3) + c

8 = 12 + c

c = -4

So the equation of the perpendicular line is y = -4x - 4 (Answer)

It is always a good idea to plot these graphs and see if they fit the data provided

The attached plot shows the two graphs and you can see they are perpendicular to each other and the perpendicular line(the answer) passes through point (-3,8)

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2 years ago