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Tomtit [17]
3 years ago
7

Solve this with your work shown. (50 POINTS.)​

Mathematics
1 answer:
Ket [755]3 years ago
7 0

top problems:

1-) x²-2x-8

<h2>(x-4)(x+2)</h2>

---------------------

2-) 4s²-4s+1

<h2>(2s-1)²</h2>

---------------------

3-) 6x²-3-7x

<h2>(2x-3)(3x+1)</h2>

---------------------

4-) 4u²+8u

<h2>4u(u+2)</h2>

---------------------

5-) t²-15

<h2>2t</h2>

---------------------

6-) 3x²-x-4

<h2>(3x-4)(x+1)</h2>

bottom problems:

1-) \frac{1}{4},-1

y=x²+\frac{3x}{4}-\frac{1}{4}

---------------------

2-)\sqrt{2},\frac{1}{3}

<h2>y=x²-\frac{x}{3}-\sqrt{2}x+\frac{\sqrt{2} }{3}</h2>

---------------------

3-) 0, √5

<h2>y=x²-x√5</h2>

---------------------

4-) 1,1

<h2>y= x²-2x+1</h2>

---------------------

5-)-\frac{1}{4}, \frac{1}{4}

<h2>y=x²-\frac{1}{16}</h2>

---------------------

6-) 4,1

<h2>y=x²-5x+4</h2>

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3 years ago
The sum of two numbers is 40 and their difference is 6.5, what is their product? show work please
Finger [1]
Let b>a, 

a+b=40 so we can say a=40-b

We are told that b-a=6.5, using a found above in the equation gives us:

b-(40-b)=6.5

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2b=46.5

b=23.25, and since  a=40-b

a=40-23.25

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check...

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Dima020 [189]

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Step-by-step explanation:

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3 0
3 years ago
Evaluate the indefinite integral. (Use C for the constant of integration.) sin(10x) 1 cos2(10x) dx
Schach [20]

Answer:

The result of the integral is -\frac{\cos^3{10x}}{30} + C

Step-by-step explanation:

We are given the following integral:

\int \sin{(10x)}\cos^{2}{(10x)} dx

I am going to solve by substitution, using u = \cos{10x}, so du = -10\sin{10x}dx, dx = -\frac{du}{10\sin{10x}}. So, we have

-\frac{1}{10} \int u^2 du

Which has the following result:

-\frac{u^3}{30} + C

Going back to x, the result of the integral is

-\frac{\cos^3{10x}}{30} + C

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