Answer: Choice C
The vertical asymptote at x = -4 tells us that -4 is not part of the domain. This only applies to 1/(x+4). If we plug in x = -4, we get...
f(x) = 1/(x+4)
f(-4) = 1/(-4+4)
f(-4) = 1/0
f(-4) = undefined; because of the division by zero error
The value x = -4 is allowed in the other answer choices.
Answer:
Step-by-step explanation:
For Question 3, we are simply taking an input for the function, as a value of x and solving the equation. For part a, we substitute 3/14 into the first function, and solve it:
f(x) = 7(3/14) + 2
f(x) = 21/14 + 2
f(x) = 49/14
f(x) = 7/2
For part b, we take the input of -3 into the second function and solve the equation:
h(x) = 4(-3)^2
h(x) = 4(9)
h(x) = 36
For Question 4, we are simply solving this equation by isolating the x variable. First, we simplify the equation to 4-5x+15+2x = -2 and simplify this again to -3x+19 = -2. Now, we can subtract 19 from both sides of the equation to get -3x = -21. Lastly, we isolate the x variable by dividing both sides of this equation by -3, to get x = 7.
Answer:
4
Step-by-step explanation:
(y2-y1)/(x2-x1)=m
(10-2)/(3-1)
8/2
m=4
Since 32 mil is 1/10 of the US pop, multiply 32 mil by 10 so you get the 10/10 aka the whole US pop. That means it would be 320,000,000. All you do is add a zero to 32 mil since you multiply by 10. 32 mil originally had 6 zeros. After multiplying, you have 7 zeros.
Answer:
144 cubic inches
Step-by-step explanation:
volume = l x w x h. This = 8 x 6 x 3.
Hope this helps :)