MATHEMATICS HIGH SCHOOL

Find all the zeros of the equation-3x^4+27^2+1200=0
if you could show yourworkthat would be great :3

Answers

Answer 1
Answer:

Divide both sides by -3, and replace x^2 with y. Then

-3x^4+27x^2+1200=0\iff y^2-9y-400=0

Factorize the quadratic in y to get

y^2-9y-400=(y+16)(y-25)=0\implies y=-16,y=25

which in turn means

x^2=-16,x^2=25

But x^2\ge0 for all real x, so we can ignore the first solution. This leaves us with

x^2=25\implies x=\pm√(25)=\pm5

If we allow for any complex solution, then we can continue with the solution we ignored:

x^2=-16\implies x=\pm√(-16)=\pm i√(16)=\pm4i

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The product of 6 and a number is 24 What is the number ​

Answers

First you should start with dividing 24 by 6 and get 4 then you would put the 4 in the equation and done.

Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway. of the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians, what is the length, in yards, of the border

Answers

To solve this problem you must apply the proccedure shown below:

 1. You must apply the formula for calculate the arc length, which is:

 arc length=(angle)(radius)

 2- As you can see, the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians. Therefore, you have:

 The angle is:

 1 1/2 radians=1.5 radians

 3. When you susbtitute these values into the formula, you obtain:

 arc length=(1.5 radians)(5 yards)
 arc lenght=7.5 yards

 4. Therefore, the answer is: 7.5 yards.
 

(13,15) and (11,9) are the endpoints of a line segment. What is the midpoint of that line segment?

Answers

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Using this equation 36 -:6x3+2²-(3+5) how does the answer equal 32

Answers

Answer:

it don't

Step-by-step explanation:

Start with the division:

36 ÷ 6 = 6

Then, multiply by 3:

6 x 3 = 18

Square 2:

2² = 4

Next, evaluate the parentheses:

(3 + 5) = 8

Now, we have the expression:

18 + 4 - 8

Perform the addition and subtraction in order:

18 + 4 = 22

22 - 8 = 14

So, the expression simplifies to 14, not 32. It seems there might be an error in the calculation provided for the answer of 32.

Which is 216 written as a power of a number?
a. 63
b. 36
c. 1082
d. 723

Answers

the answer is A hope this helps.
6^(3) =6*6*6=216

The answer is A

At the beginning of this month, the balance of Agatha's checking account was $782.39. So far this month, she has received a paycheck via direct deposit of $932.48, been charged a monthly service fee from her bank of $20.00, used a debit card linked to her account to make a purchase of $36.82, written a check for $155.03 that has already been deposited, and deposited a check written to her for $79.13. What is the current balance of Agatha's checking account?

Answers

Agatha started out the month with $782.39 cents. After she received her paycheck, she had a balance of $1,714.87. Agatha then had a service fee and few purchases which left the total at $1503.02. She then had an additional check written to her for $79.13. The current balance after her last deposited check was $1,582.15.

Answer: $1582.15

Step-by-step explanation:
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