Answer:
f(x) = 3x(x-1)(x-3)
Step-by-step explanation:
f(x) = 3x³-12x²+9x = 3x(x²-4x+3) =
= 3x(x²-x-3x+3) = 3x[x(x-1)-3(x-1)] =
= 3x[(x-1)(x-3)] = 3x(x-1)(x-3)
Answer:
75.2
Step-by-step explanation:
16 x 9.4 = 150.4 / 2 = 75.2
Answer:
50 gluten-free cupcakes and 100 regular cupcakes.
Step-by-step explanation:
Let's define the variables:
R = number of regular cupcakes sold
G = number of gluten-free cupcakes sold
The total amount of money raised then is:
M = R*$2.00 + G*$3.00
We also know that:
The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.
then:
R = 2*G
And we also know that the amount of money raised is $350
Then we have the equations:
R = 2*G
R*$2.00 + G*$3.00 = $350
We can replace the first equation into the second one, so we have only one variable:
(2*G)*$2.00 + G*$3.00 = $350
Now we can solve this for G.
G*$4.00 + G*$3.00 = $350
G*$7.00 = $350
G = $350/$7.00 = 50
G = 50
50 gluten-free cupcakes where sold.
And using the equation:
R = 2*G = 2*50 = 100
We can conclude that 100 regular cupcakes were sold.
By analyzing the piecewise function, we conclude that the first graph is the correct one,
<h3>
Which of the following is the graph of the piecewise function?</h3>
The first part of the piecewise function is:
f(x) = √(-x - 2) for x ≤ -2
This parts ends at:
f(-2) = 0
With that, we can discard the last two graphs.
Now, the second part is a rational function with a negative coefficient.
Because of that sign, when x is positive, the function tends to negative infinite near in the asymptote, while when x is negative, the function tends to positive infinite in the asymptote.
Because of that, we conclude that the correct option is the first graph.
If you want to learn more about piecewise functions:
brainly.com/question/3628123
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1.4,6,8
2.3,7,1 that how you get your answer
