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natali 33 [55]
3 years ago
13

Solve y = f(x) for x. Then find the input(s) when the output is 10.

Mathematics
1 answer:
elixir [45]3 years ago
7 0

The inputs are 1 and -1 when the output is 2.

Step-by-step explanation:

The given function is

f(x) = 10 x²

Then we set y = f (x)

  y = 10 x²

By dividing each side by 10 we get

 x² = y/10

Then we solve for x

 x = ±\sqrt{y/2}

Now we have to find the input(s) when the output is 10

  x = ±\sqrt{10/10}

  x = ± 1

Hence, the inputs are 1 and -1 when the output is 2.

The final solution is x =1 and x = -1.

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Hi! When I type into the calculator and multiply 0.12 and 100 it comes out as 13.2, why is that?
jok3333 [9.3K]

Answer:

because it is a decimal so it multiplies 100 by the decimal which is a smaller number, almost like how when you divide it becomes a smaller number.

Step-by-step explanation:

hope this helps:)

4 0
3 years ago
Read 2 more answers
How do I find if this type of equation has one solution two solutions or no solution 5x^2+14=19 I tried using the b^-4ac method
mash [69]

Answer:

x = 5 and x = -19

Step-by-step explanation:

You're on the right track.  It's the "discriminant" that tells you what you want to know here.  Before starting, arrange the terms of your quadratic in descending orders of x:  5x^2 + 14x - 19 = 0 (Note that I assumed you meant 14x instead of just 14).

Then the coefficients of this quadratic are a = 5, b = 14 and c = -19.

You are referring to the "quadratic formula."  It states this:

      -b ± √(b²-4ac)

x = -----------------------

               2a                                        

So, we insert the a, b and c values as indicated above:

      -14 ± √( 14² - 4[5][-19] )        -14 ± √(196 - 4[5][-19] )        -14 ± √576

x = ----------------------------------- = ---------------------------------- = ----------------------

                 2(10)                                 20                                      20

This comes out to:

x = (-14 + 24) / 2      and     x = (-14 - 24) / 2

or:

x = 5 and x = -19

8 0
4 years ago
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Fynjy0 [20]

Answer:

C) -4, -2, 1

Step-by-step explanation:

The zeros of a function are those values of x in which the function intersects with the x axis (that is, with y=f(x)=0).

In the shown graph, the values where the function takes values y=0 are x=-4, x=-2 and x=1.

5 0
2 years ago
Two angles of a triangle have a sum of 110. the sum of all three angles is 180 .what is the measure of the third angle
defon
Well by the looks of it The missing angle is 70 degrees. I say this because 110 + 70 = 180. If you were asking what were the two angles just divide.
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3 years ago
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Illusion [34]
Should be B

Because if it were C or D it would be the product and not the sum
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