Answer:
B. Increasing in x < -1 and decreasing in x > -1.
Step-by-step explanation:
We are given the graph of a function and is required to find the interval in which the function is increasing, decreasing or constant.
Now, from the graph we can see that the critical point i.e. the point at which the graph changes the direction is x = -1.
We observe that the function on the left side of x = -1 is going upwards to reach the point x = -1 and the function on the right side of x = -1 is going downwards.
Hence, we get that the function in increasing in x < -1 and decreasing in x > -1.
Answer:
(5, 0) and (-3, 0)
Step-by-step explanation:
To find the x-intercepts, let's set y = 0.
0 = x² - 2x - 15
0 = (x - 5)(x + 3) -- To factor x² - 2x - 15, we need to find 2 numbers with a sum of -2 and product of -15; these numbers are -5 and 3.
x - 5 = 0 or x + 3 = 0 -- Use ZPP (Zero Product Property)
x = 5, x = -3
Answer with Step-by-step explanation:
The given figure is a cuboid.
We know that surface area(S) of cuboid is given by:
S=2(lb+bh+hl)
Where l is the length, b is the breath and h is the height
Here, l=12 mm
b=6 mm
and h=(7+2) mm=9 mm
Surface Area= 2(12×6+6×9+9×12)
=2(72+54+108)
= 2×234
= 468 mm²
Hence, Correct option is:
C. 468 mm squared
Answer:
See below
Step-by-s.ep explanation:
6. Let the 3 integers be k-2, k and k+2.
So k(k+2)-k(k-2) = 28
k^2 + 2k - k^2 + 2k = 28
4k = 28
k = 7.
So the 3 integers are 5, 7 and 9.
<span>Multiply equation A by 2. x+z=6 If you replace the z with the 2, you can add whatever the amount x is to get 6!</span>