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Andrew [12]
3 years ago
8

15 Points!

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
8 0
Replace f(x) with 0 and swith the equation around to solve for x

 x^4 - 32x^2 - 144 = 0

Factor the left side:

(x+6) (x-6) (x^2+4)

so far we have x+6 = 0, x = -6
                         x -6 = 0, x = 6

solve x^2 +4 = 0
x^2 = -4
x = sqrt(-4) 
x = 2i, -21

The answer is B) 2i, 6, -6
andrezito [222]3 years ago
5 0
f(x)=x^4-32x^2-144\\\\f(x)=0\iff x^4-32x^2-144=0\\\\x^4-36x^2+4x^2-144=0\\\\x^2(x^2-36)+4(x^2-36)=0\\\\(x^2-36)(x^2+4)=0\iff x^2-36=0\ \vee\ x^2+4=0\\\\x^2=36\ \vee\ x^2=-4\\\\x=\pm\sqrt{36}\ \vee\ x=\pm\sqrt{-4}\\\\x=-6\ \vee\ x=6\ \vee\ x=-2i\ \vee\ x=2i

Answer: <span>C) 2i, 6, -6</span>

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Which absolute value function defines this graph?
iogann1982 [59]
If you describe the graph as a V with its vertex point on (0,0), then you are either describing the graph of y = |x| or y = 3|x|. The only difference is that the coordinates of y=3|x| is multiplied thrice the coordinates of y=|x|. In other words, this graph is thrice wider than the y=|x|.

Furthermore, <span>y = -3|x| is a downward V, and
</span>x = |y| and <span>x = 3|y| looks like a V rotated side-ward,</span><span>
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5 0
3 years ago
If the square of the hypotenuse of an isosceles right triangle is 98cm2 find the length of each side
Marrrta [24]

Answer:

7

Step-by-step explanation:

Let the each leg be x so,

√(x²+x²)=√98

or, √(2x²)=√98

or, x√2=7√2

or, x=7

3 0
2 years ago
Which expression is equivalent to 8x-2x+x+x<br><br> a. 4x<br> b. 8x<br> c. 6x-2x<br> d. 10x-2y
Deffense [45]
B - 8x

To find this, combine like terms.

8x - 2x is 6x, then add the two x's on the side to bring it back to 8x.

Hope this helps!
4 0
3 years ago
Read 2 more answers
To counteract the frog population spike, the parks department has decided to introduce a large number of predator fish into thei
tekilochka [14]

Answer:

1.2 x 10⁴

Step-by-step explanation:

12,000 has 2 places of other numbers before a spam of zeroes.

Take the numbers before zeroes and put a decimal to the left of the last digit.

Last digit is 2 so a decimal goes before 2

1.2

Count how many places the decimal moved: this number is your power of 10.

12000.  --> 1.2000

It moved 4 places.

12,000 = 1.2 x 10⁴

6 0
3 years ago
. A salesman sold 300 bags of maize to a retailer at Kshs .2000 each .He was given a commission of 3%.The salesman allowed a dis
nalin [4]

Answer:

The discount allowed per bag is kshs 4

while the discount allowed on all the 300 bags is kshs 1,200

Step-by-step explanation:

Here, we are interested in calculating the discount allowed on the sales of the bag of maize.

From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.

Now, to find the amount of this, we proceed as follows;

What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.

The discount on each bag of maize would be;

0.2% of kshs 2000

That would be;

0.2/100 * 2,000 = 400/100 = kshs 4

Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200

8 0
3 years ago
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