Answer:
q+4 + d-3 + n ; first
Step-by-step explanation:
first :q quarter d dimes n nickels
then: q+4 quarter d dimes n nickels
then: q+4 quarter d-3 dimes n nickels
so you have q+4 + d-3 + n
first is the only option that has division the other involve subtraction
B is a function because a function cannot have an X value with more than one Y value.
Answer:
b is correct for Maria but c is correct for the boy
Answer:
176 words
Step-by-step explanation:
1) well we want to find the amount of words we'd be able to type in 4 minutes. so, what i did was:
<u>44 words</u> = <u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>x</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
1 minutes = 4 minutes
2) now look at how i set up the proportion, notice how i left a variable of x for the value i didn't know.
3) we also know that 1 times 4 is 4, so it'd also make sense to also multiply the numerator by 4 too!!
4) multiplying 44 by 4 would get us our answer which is 176
im not the best at math but i this explanation helped <33
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
