So I was doing a hooda math escape game, and forgot how to do these. Can you help me?
2 answers:
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Answer:
a. attached graph; zero real: 2
b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Step-by-step explanation:
p(x) = x³ + 4x² + 6x - 36
a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.
p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0
b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.
2 | 1 4 6 -36
1 6 18 0
x² + 6x + 18 = 0
Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²
√Δ = 6i
x = -6±6i/2 = 2(-3±3i)/2
x' = -3-3i
x" = -3+3i
p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Answer:
The number of subscribers in 2008 is 110,845,988
Step-by-step explanation:
The number of cell phone subscribers in Arlington, in t years after 1985, can be modeled by the following equation.
And which N(0) is the number of subscribers in 1985 and r is the rate it increases per year, as a decimal.
In 1985, there were 285 cell phone subscribers in Arlington.
This means that
The number of subscribers increased by 75% per year since 1985.
This means that
So
Find the number of subscribers in 2008.
2008 is 2008-1985 = 23 years after 1985. So we have to find N(23).
The number of subscribers in 2008 is 110,845,988
Answer:
Both sizes are better because they cost Same.
Step-by-step explanation:
Consider the provided information.
A coupon offers $1.00 off the 16
Quantity Price
Pint 16 $3.98
Quart 32 $5.98
If he gets $1 off for the 16-ounce size. The price will be:
3.98-1=2.98
He needs to pay $2.98 for 16-ounce pint.
Now find which one is better by calculating the unit rate.
Therefore, the cost of 1lb would be $0.186
For Quart 32 find the unit rate as shown:
Therefore, the cost of 1lb would be $0.186
Hence, both of the size are better as the unit rate is same.