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3 years ago

Which value of x is a solution to x2 = 16?

Mathematics

1 answer:

Helga [31]3 years ago

8 0

Answer:

Step-by-step explanation:

if we take the 2 that is in the R.H.S and put it in L.H.S

it becomes 16÷2=8

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The function Q(x)=2x^2-kx+18. For what value of k does Q(x) have one distinct real solution? (NEEDS TO BE DONE WITHIN 2 HOURS!)

Aliun [14]

Answer:

k = 12

Step-by-step explanation:

Given:

The equation $Q(x)=2x^2-kx+18$

To find:

Value of $k = ?$ for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: $ax^{2} +bx+c=0$ to have one distinct solution:

$b^2 - 4ac = 0$

Here,

a = 2,

b = -k and

c = 18

Putting the values, we get:

$(-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12$

The equation becomes:

$Q(x)=2x^2-12x+18$

And the one root is:

$2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3$

4 0

3 years ago

A 7-pound box of raspberries costs $26.88. What is the price per ounce?

pishuonlain [190]

Answer:

26.88/7 = $3.84 per ounce

Step-by-step explanation:

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3 years ago

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Coner earns $9 an hour for yard work.He earned $29.25.how much does he earn every minute.

makvit [3.9K]

He earns $0.15 every minute. There are 60 minutes every hour and you are trying to found out how much money he is making in 1 minute, so you divide 9 by 60, which will give you the decimal number 0.15. The $29.25 was just a little extra information to try to brush you off.

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3 years ago

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Rationalize the denominator of square root of negative 36 over open parentheses 2 minus 3 i close parentheses plus open parenthe

dem82 [27]

$\frac{ \sqrt{-36} }{(2 - 3 i )+( 3 + 2 i )}= \\ = \frac{6i}{5-i}* \frac{5+i}{5+i}= \\ = \frac{30i+6i ^{2} }{25-i ^{2} } = \frac{-6+30i}{25+1}= \\ = \frac{-6+30i}{26}=$
= - 3/13 + 15/13 i

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3 years ago

Find the mean 9,1,8,3,2,1 graphically.

adelina 88 [10]

10+11+3
21+3
24
24/6
The mean is 4

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3 years ago