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PtichkaEL [24]
3 years ago
15

What is the value of a in the function's equation? A. -2 B. -3 C. 3 D. 2

Mathematics
2 answers:
Greeley [361]3 years ago
8 0

Answer:

I believe it’s c

Step-by-step explanation:

bulgar [2K]3 years ago
6 0

What is the value of a in the function's equation?
A. -2
B. -3
C. 3
D. 2
ANSWER: c.
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For how many real values of x is <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B120-%5Csqrt%7Bx%7D%7D%20" id="TexFormula1" title
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A good place to start is to set \sqrt{x} to y. That would mean we are looking for \sqrt{120-y} to be an integer. Clearly, y\leq 120, because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since \sqrt{x} is a radical, it only outputs values from [0,\infty], which means y is on the closed interval: [0,120].

With that, we don't really have to consider y anymore, since we know the interval that \sqrt{x} is on.

Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval [0,120], which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:

\sqrt{120-\sqrt{x}}=k \implies \\ \sqrt{x}=k^2-120 \implies\\ x=(k^2-120)^2

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5 0
3 years ago
Multiply. 35⋅34<br><br> A. 9/20<br><br> B. 4/10<br><br> C. 4/5<br><br> D. 5/4
erma4kov [3.2K]

Answer:

a

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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