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Fofino [41]
3 years ago
12

I need both of these equations to be functioned into general form:

Mathematics
1 answer:
Oliga [24]3 years ago
5 0
1)
Y=(X-1)(x+8)(x+4)
Y=(x-1)(x^2+12x+32)
Y=x^3+12x^2+32x-x^2-12x-32
Y=x^3 + 11x^2 + 20x - 32

2)
Y=2(x-2)^3
Y=2(x-2)(x-2)(x-2)
Y=2(x-2)(x^2-4x+4)
Y=2(x^3-4x^2+4x-2x^2+8x-8)
Y=2(x^3-6x^2+12x-8)
Y=2x^3 - 12x^2 + 24x - 16

I’m pretty sure these are right. Hope it helps
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Homework 1:Pythagorean Theorem and it’s Converse<br><br> Find The Value of X
Viefleur [7K]

The figure gives a dimension for the hypotenuse of 19

the height is given as 17, using the Pythagorean theorem we can find the base of the triangle:

19^2 = 17^2 + base^2

Simplify:

361 = 289 + base^2

Subtract 289 from both sides:

72 = base^2

Take the square root of both sides:

Base = 8.49 Round to 8.5

There are two identical triangles on each sides, so 8.5 x 2 = 17

The length of the two triangle bases is 17

The total base of the object is 31, so the length of the rectangular part in the middle would be 31 - 17 = 14

And X would be the same length as the bottom rectangle.

Therefore x = 14

3 0
3 years ago
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How do I factor the following equation in the link? It has been factored, but I need to know the steps.
Vlad [161]

Given

2x^2-x-3=0

How to factor

Solution

Step 1

Multiply the first and last costant

-3\times2x^2=-6x^2

Step 2

Write out all the pair factors of -6x^2

\begin{gathered} -6x^2=-6x\text{ and x} \\ -6x^2=-x\text{ and 6x} \\ -6x^2=\text{ -3x and 2x} \\ -6x^2=\text{ -2x and 3x} \end{gathered}

Step 3

Check for the pair, such that when you add you will get -x

\begin{gathered} it\text{ is } \\ -3x+2x=-x \\ \therefore-3x,\text{ 2x} \end{gathered}

Step 4

Replace -x with -3x+2x in the equation

2x^2-3x+2x-3=0

Step 5

Put them into brackets Since + is at the center no stress.

(2x^2-3x)+(2x-3)=0

Step 6

Factor out what is common in the bracket

x(2x^{}-3)+1(2x-3)=0

Step 7

What is in the bracket are the same, pick one

\therefore(2x-3)(x+1)=0_{}

7 0
1 year ago
Given that f(x)=2x^3+x-3, evaluate the function f(-2). <br> A.) 11 <br> B.) -69 <br> C.) -21
prohojiy [21]
F(x)=2x³+x-3
f(-2)=2(-2)³+(-2)-3
f(-2)=2(-8)-2-3
f(-2)=-16-2-3
f(-2)=-18-3
f(-2)=-21. As a result,C is your final answer. Hope it help!
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3 years ago
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What does the graph for y=-3x look like
kipiarov [429]
This is what the graph looks like hope this helps:)

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Point A is at (-2,-7). Find the new coordinates of point A after it is translated 5 units right and 2 units down.​
shtirl [24]

Answer:

(3,-9)

Step-by-step explanation:

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