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Andrew [12]
2 years ago
12

Find all the zeros of the equation. Need help finding the zeros.

Mathematics
1 answer:
marta [7]2 years ago
6 0
Given the expression
-3x^4+27x^2+1200=0
let x^2=a
we can re-write our expression as:
-3a^2+27a+1200=0
-3(a^2-9a-400)=0
a^2-9a-400=0
factorizing the above we have:
a^2+16a-25a-400=0
a(a+16)-25(a+16)=0
(a+16)(a-25)
thus replacing back x^2 we have:
(x^2+16)(x^2-25)
=(x^2+16)(x-5)(x+5)
factorizing (x^2+16) we get
x^2=+/-√-16
x=+/-4i
thus the zeros of the expression are:
x=-5, x=5 , x=-4i, x=4i

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Kim’s hair grows a half inch per month. How many months will it take for her hair to grow 12 inches?
Contact [7]

Answer:

24 months

Step-by-step explanation:

Cross-multiply

0.5 inches -------------- 1 month

12 inches ---------------- x months

0.5/12 = 1/x ===> 0.5x = 12 ===> x = 12/0.5  ===> x = 24 months

3 0
3 years ago
What is the difference?
Crazy boy [7]

Answer:

<h2>D. \frac{x^{2}+3x-12 }{(x-5)(x+3)(x+7)} \\ or StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction</h2>

Step-by-step explanation:

Given the expression \frac{x}{x^{2}-2x-15 } - \frac{4}{x^{2} + 2x - 35 }, the dfference is expressed as follows;

Step1: First we need to factorize the denominator of each function.

\frac{x}{x^{2}-2x-15 } - \frac{4}{x^{2} + 2x - 35 }\\= \frac{x}{x^{2}-5x+3x-15 } - \frac{4}{x^{2} + 7x-5x - 35 }\\= \frac{x}{x(x-5)+3(x-5) } - \frac{4}{x( x+ 7)x-5(x +7) }\\= \frac{x}{(x-5)(x+3) } - \frac{4}{(x-5)(x +7) }\\\\

Step 2: We will find the LCM of the resulting expression

=  \frac{x}{(x-5)(x+3) } - \frac{4}{(x-5)(x +7) }\\= \frac{x(x+7)-4(x+3)}{(x-5)(x+3)(x+7)} \\= \frac{x^{2}+7x-4x-12 }{(x-5)(x+3)(x+7)} \\= \frac{x^{2}+3x-12 }{(x-5)(x+3)(x+7)} \\

The final expression gives the difference

6 0
3 years ago
3^4 + 3 x 5 =<br> (the '^4' is an exponent)
Vesnalui [34]

Answer:

96

Step-by-step explanation:

3^4 = 3*3*3*3 = 9*9= 81

3*5=15

81 + 15 = 96

Hope this helps!!

4 0
2 years ago
Read 2 more answers
Pick the correct answer <br> Please help thanks :)
meriva

Answer:

B

Step-by-step explanation:

First create the equation that has slope of -1 in the form of y=mx+b. Because the slope is -1, m=-1, so the equation is y=-x+b. Now we see that we are given the point (-3, 8) as an intersection point. Substitute x and y for -3 and 8 in our equation. With this information, our equation becomes 8=3+b. Solving, b=5. Our equation is now y=-x+5.

Simplifying all of the answer choices, we have

A. y=-x-5

B. y=-x+5

C. y=-x-5

D. and E. as what they already show

The only answer that matches is B.

5 0
1 year ago
Evaluate:<br> g(x) = 3•2x+2 + 3<br> g(3)
Studentka2010 [4]

Answer:23

Step-by-step explanation:

3·2(3)+2+3

=3·6+2+3

=23

6 0
3 years ago
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