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Ludmilka [50]
2 years ago
14

Can someone help me again ‍♀️ ​

Mathematics
1 answer:
alexandr402 [8]2 years ago
6 0

Answer:

#1 goes to C.

#2 goes to D.

#3 goes to B.
#4 goes to A.

Hope this helps.

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What are all of the real roots of the following polynomial? f(x) = x4 - 13x2 + 36
GREYUIT [131]
ANSWER

A. -3, -2, 2, and 3

EXPLANATION

The given polynomial function is,

f(x) = {x}^{4} - 13 {x}^{2} + 36

To find the real roots, we equate the function to zero to obtain;

{x}^{4} - 13 {x}^{2} + 36 = 0

We can solve this equation as a quadratic equation in
{x}^{2}.

Thus we rewrite the equation as,

({x}^{2})^{2} - 13 {x}^{2} + 36 = 0

We split the middle term to get,

({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.

We factor to get,

{x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0

We factor to get,

( {x}^{2} - 9)( {x}^{2} - 4) = 0

Either

{x}^{2} - 9 = 0
or

{x}^{2} - 4 = 0

x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}
x = \pm3 \: or \: x = \pm2

x=-3,-2,2,3

The correct answer is A
5 0
4 years ago
Read 2 more answers
Hellppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
const2013 [10]

Answer: y = 4 and x = 1

Step-by-step explanation:

when y is 2, x is 0.5

when y is 4, x is 1

                .(+ 2)   .(+ 0.5)

                .(+ 2)   .(+ 0.5)

                .(+ 2)   .(+ 0.5)

                .(+ 2)   .(+ 0.5)

the rule is that y is 4 times larger than x

5 0
3 years ago
Read 2 more answers
Help with my geometry question
Vaselesa [24]
For an inscribed angle like angle AHB, the measure will be half of the intercepted arc which we can see is 90 degrees.. therefore the measure of angle AHB is 45 degrees.
5 0
3 years ago
9. The product of two rational numbers<br> is a(n)
katrin2010 [14]

Answer:

rational

Step-by-step explanation:

6 0
3 years ago
If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v
pochemuha

Answer:

V'(t) = -250(1 - \frac{1}{40}t)

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = 5000(1 - \frac{1}{40}t )^2  , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = 2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )

V'(t) = 2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )

When we simplify the above, we get

V'(t) = -250(1 - \frac{1}{40}t)

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

4 0
4 years ago
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