Answer:
Lets calculate the value for each expression to get the answers
f(x) = x² + 6x + 9
g(x) = x² - 9
(f+g)(x) = x² + 6x + 9 + x² - 9
(f+g)(x) = 2x² + 6x
(f+g)(x) = 2x(x + 3)
(f-g)(x) = x² + 6x + 9 - (x² - 9)
(f-g)(x) = x² + 6x + 9 - x² + 9
(f-g)(x) = 6x + 18
(f-g)(x) = 6(x + 3)
(f×g)(x) = (x² + 6x + 9)(x² - 9)
(f×g)(x) = x⁴ - 9x² + 6x³ - 54x + 9x² - 81
(f×g)(x) = x⁴ + 6x³ - 54x - 81
(f÷g)(x) = (x² + 6x + 9) / (x² - 9)
(f÷g)(x) = (x+3)(x+3) / (x+3)(x-3)
(f÷g)(x) = (x+3)/(x-3)
Answer:
0.9256
Step-by-step explanation:
Given that a convenience store owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their visit
Let X be the number of customers who buy from her store, on a certain day of the week, buy coffee during their visit
X is Binomial (35, 0.55)
since each customer is independent of the other and there are two outcomes.
By approximation to normal we find that both np and nq are >5.
So X can be approximated to normal with mean = np = 19.25
and std dev =
Required probability = prob that fewer than 24 customers in the sample buy coffee during their visit on that certain day of the week
= (after effecting continuity correction)
= 0.9256
(g-h)(x) = 2x+1 -(<span>x-2)
</span>(g-h)(x) = 2x+1 - x + 2
(g-h)(x) = x + 3
Answer:
C {(-4, 2), (-2, 1), (2, 0), (4, 5)}
Step-by-step explanation:
The domain is the set of x-values for which the function is defined.
<h3>Choices</h3>
A) The relation is <em>only defined for x=2</em>. It is not a function, because x=2 maps to an infinite number of y-values.
B) The domain is an infinite number of x-values. The listed values are included in the domain, but they are <em>not the entire domain</em>.
C) The list of first-values in the ordered pairs is the domain of the function it matches the given domain.
D) The list of first-values in the ordered pairs is <em>not the same as the given domain</em>.
you could use this equation to help you solve it;
x + (x + 42) = 138
the first step is to combine like terms;
2x = 138 -42
2x = 96
X = 96/2
X = 48
we already solved for x now substitute it in the equation I gave you.
48 + (48 + 42) = 138
48 + 90 = 138
hope it helped...if you have any concerns just let me know:)