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EastWind [94]
3 years ago
8

If x − √a is a factor of 2x4 − 2a 2x 2 − 3x + 2a3 − 2a2 + 3 , find the value of a.

Mathematics
1 answer:
iragen [17]3 years ago
3 0

Answer:

\boxed{\sf \ \ \ a = 1 \  \ \ }

Step-by-step explanation:

Hello,

saying that x-\sqrt{a} is a factor means that \sqrt{a} is a zero which means

2(\sqrt{a})^4-2a^2(\sqrt{a})^2-3*\sqrt{a}+2a^3-2a^2+3=0\\\\ 2a^2-2a^3-3*\sqrt{a}+2a^3-2a^2+3=0\\\\3-3*\sqrt{a}=0\\\\\sqrt{a}=\dfrac{3}{3}=1\\\\ a = 1

so the solution is a = 1

Do not hesitate if you have any question

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Write an equation in slope intercept form of the line shown (1,-3) (3,1)
OLga [1]

Answer:

y = 2x - 5

Step-by-step explanation:

Using the slope intercept formula y2 - y1 / x2 -x1...

You get a slope of 2 so y = 2x +b

Then to find b the intercept, you plug in one of the coordinates like so...

1 = 2(3) + b

Then solve to get an intercept of -5.

So the slope-intercept form would be...

y = 2x - 5

3 0
3 years ago
72 = –6(y + 37)<br> plz help
AlladinOne [14]

Answer:

-49

Step-by-step explanation:

you can first divide both sides by -6

so

-12 = y+37

so y = -12-37 = -49

8 0
3 years ago
Solve the equation -25p – 2 = 48 for p.<br><br> A. -2<br> B. 1<br> C. 3<br> D. 8
konstantin123 [22]

Answer:

A. -2

Step-by-step explanation:

-25p - 2 = 48

First, add 2 to both sides

That gives you

-25p = 50

Then, divide both sides by -25. Then that leaves the answer.. p = -2

5 0
3 years ago
Which trigonometric function has a range that does not include 0.4?
Montano1993 [528]
<h2>Hello!</h2>

The answer is: y=cscx

<h2>Why?</h2>

Domain and range of trigonometric functions are already calculated, so let's discard one by one in order to find the correct answer.

The range is where the function can exist in the vertical axis when we assign values to the variable.

First:

y=cosx: Incorrect, it does include 0.4 since the cosine range goes from -1 to 1 (-1 ≤ y ≤ 1)

Second:

y=cotx: Incorrect, it also does include 0.4 since the cotangent range goes from is all the real numbers.

Third:

y=cscx: Correct, the cosecant function is all the real numbers without the numbers included between -1 and 1 (y≤-1 or y≥1).

Fourth:

y=sinx : Incorrect, the sine function range is equal to the cosine function range (-1 ≤ y ≤ 1).

I attached a pic of the csc function graphic where you can verify the answer!

Have a nice day!

8 0
4 years ago
Is 10(x-2)=5(2x-4) infinitely many or no solution
Pani-rosa [81]
They cancel out, so you can decide from this 10x-20=10x-20. 
Hope this answer will help!
5 0
4 years ago
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