Answer:
x³-2x² = x2(x – 2) cubic units
Step-by-step explanation:
The volume of a prism is found by multiplying the base area by the height. The base area is a parallelogram and so the area is x*(x-2) = x² -2x.
Multiply this area by the height x.
V = x(x² - 2x) = x³-2x²
This is the same as x2(x – 2) cubic units.
Answer:
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year,
then, solving our equation
I = Prt (Where p=principle,r=rate,t=time)
I = p*0.08*1=0.08p
Step-by-step explanation:
5x+9 =14
14 -6=8
8•2 = 14
So they answer is 14
A. There is a positive correlation between the temperature and the amount of ice cream sold. This means that as the temperature increases the amount of ice cream also increases.
B. For the best fit you must calculate the slope between two points that are more-or-less representative of the entire graph. In this case it seems to have already done this with certain points so if you take the points (15,35) and (0,5) you can calculate the slope between these two points which is m=(35-5)/(15-0)=30/15=2. So the best fit slope for this particular case would be two and you would just draw a line through the graph at approximately the middle of the dots to best represent all of the data.
and the y-intercept is 5 so the approximate equation for the graph would be y=2x+5
Answer:
(-5, -8)
Step-by-step explanation:
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).
x^2 + 10x = - 17
x^2+10x+17=0
x^2+2*5x+25 - 8=0
(x+5)^2-8=0
h=-5, k= -8
vertex is (-5, -8)
