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Art [367]
3 years ago
15

F(x) = 2x4 – 17x3 + 35x2 + 9x - 45 can this be factored?

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0
The answer is Yes, you can factor this equation.
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1. How is being able to find the least common
Igoryamba

Step-by-step answer:

For relatively small denominators, the easiest way is to multiply the two denominators AND divide by the highest common factor (HCF).

For example, adding 5/24+3/16

24*16 = 384  

(use a calculator if necessary, for mental calculation, 24*16=20^2-4^2=400-16=384 ).

The highest common factor (HCF) is 8, since 24/8=3, 16/8=2, 3 and 2 do not have any more common factors, so it is the HCF.

The lowest common multiple (LCM) is then 384/8 = 48

For someone good at factoring, we see that the factors are:

24={2^3,3}

16={2^4} = {2^3,2}

so the LCM is either 16*3=48, or 24*2=48.

3 0
3 years ago
Write an integral in polar coordinates equivalent to the following:​
Alex73 [517]

The region is a segment of a circle with radius √2 lying above the line y=1. In polar coordinates, this line has equation

y = r\sin(\theta) = 1 \implies r = \csc(\theta)

and the circle has equation

x^2+y^2 = r^2 = 2 \implies r=\sqrt2

The two curves meet when

\csc(\theta) = \sqrt2 \implies \sin(\theta) = \dfrac1{\sqrt2} \implies \theta = \dfrac\pi4 \text { or } \theta = \dfrac{3\pi}4

Then the same integral in polar coordinates is

\displaystyle \int_{-1}^1 \int_1^{\sqrt{2-x^2}} xy \, dy \, dx = \boxed{\int_{\pi/4}^{3\pi/4} \int_{\csc(\theta)}^{\sqrt2} r^3 \cos(\theta) \sin(\theta) \, dr \, d\theta}

4 0
2 years ago
Solve the following quadratic by completing the square.
lianna [129]

Answer:

x  = -5 \pm  \sqrt{26}

Step-by-step explanation:

x^2+10x-1=0\\\\\implies x^2+2\cdot 5 x +5^2-5^2-1=0\\\\\implies (x+5)^2-25-1=0\\\\\implies (x+5)^2 -26=0\\\\\implies (x+5)^2 = 26\\\\\implies x +5 = \pm\sqrt{26}\\\\\implies x  = -5 \pm  \sqrt{26}

4 0
2 years ago
Simplify: (x^2+2x-1)-(x+1)
notka56 [123]

Answer:

x^2+x-2

this is the answer bc the 2nd parentheses is being multiplied by the negative  sign meaning you need to subtract it from the 1st parentheses.

6 0
3 years ago
Read 2 more answers
Pls help me this is for my final text and I’m struggling really bad!!!
vodka [1.7K]
I’m not so sure I fully understand the question. But I would say the rate is 1.

I say this because the line on your graph is a y=mx+b equation.

For every unit it moves over on the X axis it moves the same unit on the Y axis.

I hope this helps.
5 0
3 years ago
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