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AlexFokin [52]
3 years ago
9

Evaluate the piece wise function​

Mathematics
1 answer:
ElenaW [278]3 years ago
3 0

Answer:

i think g(12)=\frac{5.12}{6}=10 because if t = 12, t will not satisfy the first and last equation (in the first equation, t<6 and in the last equation t> 12)

so t = 12 only satisfy the second equaton with 6≤t≤12

Step-by-step explanation:

You might be interested in
What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square
geniusboy [140]

Answer:

x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\

A quadratic can generally be expressed as: y=ax^2+bx+c

So using the equation you gave: 0=x^2-5x-1

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

5 0
1 year ago
1. How many real solutions does the quadratic equation x?+9x= -8 have?​
likoan [24]

Answer:

This quadratic equation has 2 solutions.

Step-by-step explanation:

I assume the '?' in your question is meant to be power 2 (²), or else it would not be a quadratic equation. You could write it using the superscript version of 2.

We can solve this equation by expressing it in the form: ax² + bx + c

x² + 9x= -8

x² + 9x + 8 = 0

Now if you know the discriminant, you can simply plug in your values of a, b, and c to see how many solutions there are.

In this case, you would not need the discriminant as there are whole-number factors and hence this can simply be factorised.

x² + 9x + 8 = 0

(x + 8)(x + 1) = 0

For this equation to be true (= 0), x can equal -8 OR -1.

Hence, this quadratic equation has 2 solutions.

5 0
2 years ago
5. The graph of each function contains the given point. Find the value of 'c'.
frutty [35]
Answer
c= 6
In the picture is how the solution was done

4 0
2 years ago
Lee filled up his gas tank before starting a road trip. If he has used 5.8 gallons two hours into the trip, and has 12.4 gallons
KATRIN_1 [288]
He started out with 19.1 gallons because if you add 5.8 and 12.4 you get 19.1
3 0
3 years ago
Q: Simplify. <br><br>1. 3^(n+1) - 3^n / 3^(n-1)​
igor_vitrenko [27]

Answer:

3^(n+1) - 3^n / 3^(n-1)​ = 6

7 0
2 years ago
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