Answer:
f(-4) = 72, f(x + 5) = 3x² + 23x + 36
Step-by-step explanation:
f(-4) = 3(-4)² - 7(-4) - 4
= 48 - (-28) - 4
f(-4) = 72
f(x + 5) = 3(x + 5)² - 7(x + 5) - 4
= 3(x + 5)(x + 5) - 7(x + 5) - 4
= 3(x² + 10x + 25) - 7(x + 5) - 4
= 3x² + 30x + 75 - 7x - 35 - 4
f(x + 5) = 3x² + 23x + 36
Answer:
45-40
Step-by-step explanation:
The first interval is 15-19.
The width of this interval is: 19-15=4
The second interval is 30-34.
The width of this interval is: 34-30=4
The third interval is 40-45.
The width of this interval is: 45-40=5
The fourth interval is 45-49.
The width of this interval is: 49-45=4
<h3>Therefore the interval that is not equal to the other three is 45-40</h3>
Answer:
Step-by-step explanation:
Hi there,
The graph indicated is showing a horizontal asymptote. In fact, it is showing both a horizontal and a <em>vertical </em>asymptote.
To tell which type it is, notice where the graph "shoots off" and almost forms an imaginary straight line in one direction. Using this logic, the horizontal asymptote will be exactly horizontal, parallel to x-axis, and vertical asymptote will be exactly vertical, parallel to y-axis.
With this graph, we notice the horizontal asymptote is at y=0, where the x-axis is. The vertical asymptote is bit more difficult to determine graphically, but can definitely say it is past x=-10. We could determine it if we had the function, but that is not necessary for this question.
Study well, and persevere. If you liked this solution, leave a Thanks or give a rating!
thanks,
Answer:
294
Step-by-step explanation:
The distributive property for multiplication is as follows :
a(b+c) = ab + ac
We need to evaluate 6 times 49 i.e. 6(49).
We can write 49 as (50-1)
6(50-1) = 6(50+(-1))
Here, a = 6, b = 50 and c = -1
So,
6(50+(-1)) = 6(50) + 6(-1)
= 300-6
= 294
So, answer is 294. Option (A) is somehow correct.
