Answer: The slope is -8/3
Step-by-step explanation: Use the slope formula y2-y1/x2-x1
so -9-7/2-(-4) = -16/6 which can be divided by 2 to get -8/3
When shifted to the right 1 unit it would be:
f(x - 1) = (x - 1)^3 + 2(x - 1)^2 - 3(x - 1) - 5
<span>= (x^3 - 3x^2 + 3x - 1) + 2(x^2 - 2x + 1) - 3(x - 1) - 5 </span>
<span>= x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5 </span>
<span>= x^3 - x^2 - 4x - 1
</span>I hope this helps
Answer:
We conclude that:
f(a) + 5 = a² + 8a - 5
Step-by-step explanation:
Given
The function is given by
f(x) = x²+8x-10
To determine
f(a)+5
In order to determine f(a)+5, first, we need to determine f(a).
Now substitute x = a in the function f(x) = x²+8x-10
f(a) = (a)² + 8(a) - 10
f(a) = a² + 8a - 10
Thus,
f(a) + 5 = (a² + 8a - 10) + 5
f(a) + 5 = a² + 8a - 5
Therefore, we conclude that:
f(a) + 5 = a² + 8a - 5
The dimensions of the smaller box are half those of the larger box. This means that:
*Length of smaller box= length of larger box/2= 24/2= 12cm.
*height of smaller box= height of larger box/2= 30/2= 15cm.
*width of smaller box= width of larger box/2= 10/2= 5cm.
Answer:
Below.
Step-by-step explanation:
The graph shown is f(x).
3. The graph 3 is the same shaped graph as drawn but moved 3 units to the left.
4. The graph 4 is the same shaped graph as drawn but moved 5 units to the right.
Hope this helps.
