If you know that -2 is a zero of f(x) = x^3 + 7x^2 + 4x - 12, explain how to solve the equation.
First you have to figure out what could make f(x) = 0 to get rid of the cube. I'm going to test the array of data, x = -2, x = -3, and x = -4 because this type of equation probably has more negative values given that if you plug in some values the cubed-values and squared-values will surpass the "-12". Plug this into a calculator.
x^3 + 7x^2 + 4x - 12
f(-2) = -8 + 28 - 8 - 12 = 0
So you know that when x = -2, f(x) = 0. Divide "(x + 2)" from the equation and you will get... x^2 + 5x - 6. Now this is a simple polynomial one that you can figure to be (x + 6) (x - 1) just by looking at it because -6 multiplied by 1 is negative 6 and you see 5 and know that 6 - 1 = 5.
The solution is (x + 6) (x - 1) (x + 2) meaning that when x = -6, 1, or -2, f(x) is 0.
Answer:
Multiply the area of the base by the height and divide by 3.
Step-by-step explanation:
V = (1/3)Bh
where B = area of the base, and
h = height
Answer: Multiply the area of the base by the height and divide by 3.
Answer:
197.2 million
Step-by-step explanation:
The appropriate exponential equation for the population is ...
p(t) = 172.0e^(0.019t)
Then we can compute for t=7.2:
p(7.2) = 172.0e^(0.019·7.2) ≈ 172.0·1.146599 ≈ 197.2
7.2 minutes from now, the population will be about 197.2 million.
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For continuous growth (or continuous compounding), the exponential formula is ...
f(t) = (value at t=0)×e^(rt)
where r is the growth rate in one unit of time, and t is the number of time periods.
The expression 1x² + 14x + 40 is a quadratic expression, and the answers in the yellow boxes are 40 and 14
<h3>How to complete the boxes?</h3>
The quadratic expression is given as:
1x² + 14x + 40
This implies that:
a = 1
b = 14
c = 40
Because a quadratic expression is represented as:
ax² + bx + c
The expressions in the yellow boxes are:
a * c and b
So, we have:
a * c = 1 * 40 = 40
b = 14
Hence, the answers in the yellow boxes are 40 and 14
Read more about quadratic expressions at:
brainly.com/question/18797214
#SPJ1
Answer:
Step-by-step explanation:
a I’m pretty sure
