Answer:
4.2 cubic inches
Step-by-step explanation:
Find the diagram attached
Volume of the rectangular pyramid = BH/3
B is the base area
H is the height of the pyramid
Given
Base area = 3.2in * 1.4in
Base area = 4.48sq. in
Height = 2.8in
Volume of the rectangular pyramid = 4.48*2.8/3
Volume of the rectangular pyramid = 12.544/3
Volume of the rectangular pyramid = 4.2 cubic inches
Substitute this into the parabolic equation,
We're told the line intersects twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know
We can tell from the quadratic equation that has its vertex at the point (3, 6). Also, note that
and
so the furthest to the right that extends is the point (5, 2). The line passes through this point for . For any value of , the line passes through either only once, or not at all.
So ; in set notation,
Answer:
Option B -
Step-by-step explanation:
Given : Expression
To find : Expand each expression ?
Solution :
Using logarithmic properties,
and
Here, A=4y^5 and B=x^2
Using logarithmic property,
Therefore, option B is correct.
The given polyn. is not in std. form. To answer this question, we need to perform the indicated operations (mult., addn., subtrn.) first and then arrange the terms of this poly in descending order by powers of x:
P(x) = x(160 - x) - (100x + 500)
When this work has been done, we get P(x) = 160x - x^2 - 100x - 500, or
P(x) = -x^2 + 60x - 500
So, you see, the last term is -500. This means that if x = 0, not only is there no profit, but the company is "in the hole" for $500.
Answer:
It would be -x
Step-by-step explanation:
when you divide a positive by a negative you get a negative which singles out x.
-1x could be simplified down to just -x which singles out that answer too