Answer:
The roots are 0, 3 and 4.
Step-by-step explanation:
x^3-7x^2-12x = 0 Take out x:
x(x^2 - 7x - 12) = 0 Factor the expression in the brackets:
x(x - 3)(x - 4) = 0
x = 0 or x - 3 = 0 or x - 4 = 0, so
The roots are 0, 3 and 4.
Answer:
Step-by-step explanation:
12: 8,700
13: 42
14: 70,000
15: 5,000,000,000
16: 2,210
17: 34,100
18: 1,650
19: 149
20: 290,000
Answer:
904.3 cubic inches
Step-by-step explanation:
v= 4/3 π r^3
= 1.33 x 3.14 x 6^3
= 904.3 cubic inches
Hey there, Bulgogi!
The correct answer will be the first one since [I'm assuming] you know that to calculate the percentage of something, it's the amount of that something divided by the total amount but since only 30 students voted [12+18] multiplied by 100.
So, we are calculating the percentage on votes and 12 students voted for Candidate A so our Numerator will be 12 and our Denominator will be the total amount of student who voted, so 30 [or 12+18]
Once put into a fraction, we will get
which would be equals to 2/5 or 0.4. Now we multiply by 100 and we get a total of 40% for Candidate A.
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Answer:
Step-by-step explanation:
The axis of symmetry can be calculated using the formula:
First we must determine a and b from the quadratic: . This is in standard form, with the highest power first in descending order.
Standard form is also:
If we compare this to the quadratic given, we can conclude that:
Substitute the values for a and b into the formula.
Multiply in the denominator.
Divide.
This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.