Answer:
The missing dimension of the prism is (x-4)
Step-by-step explanation:
Here, we want to find the missing dimensions of the prism
To get the volume, we are to multiply three dimensions since we are talking about volume
Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions
The product of the two other dimensions is;
(x-1)(x-9) = x^2-9x-x + 9
= x^2-10x+ 9
So we divide;
(x^3-14x^2+49x-36)/(x^2-10x+ 9)
We can use long division to get this
using long division, the answer here is x-4
Answer:
See attached graph.
Step-by-step explanation:
We can graph this with relative ease on the calculator or computer (see attachment) but let's make sure we understand it theoretically and algebraically!
y=|x - 4| + 2
First of all, this is an absolute value function, so it'll look like a v where every input equals its positive output (2, 2) (-3,3) etc. You can't get a negative number with a graph of y=|x| unless you translate it.
Next, there's a -4 inside the abs val. According to the formula y = |x - h| + k, where h is the horizontal shift, this means we need to shift the vertex right 4.
There's a +2 outside the abs val. K is the vertical shift, so we need to shift the vertex up 2.
Answer:
she ate 6 ounces
Step-by-step explanation:one pound is 16 ounces 3\4 of a pound is 12 ounces half of 12 is 6 ounces
Congrats on making it to integrals!
Basically you need to integral your function because integral rate in respect to time = total amount.
Also your bounts are (2001-1990,2006-1990)=(11,16)
Thus we take integral like:
int(11,16)(928.5e^(0.0249x))=
(11,16)928/0.0249e^(0.0249(x))-928/0.0249e^(0.0249(x))
(You can check this by taking its derivative and seeing if you get the original function)
928/0.0249e^(0.0249(16))-928/0.0249e^(0.0249(11))=6498.1
An integer is a whole number, not a fraction or decimal. Integers can be positive or negative. 180, 4, 17, -56 are all integers. 4.5, 38 1/2, 88.7 are not integers because they are not whole numbers.
ANSWER: 160 lies between 159 and 161.
Hope this helps! :)
