Answer:
I believe its 66
Step-by-step explanation:
55×20%=11
55+11=66
Answer:
Step-by-step explanation:
The easiest way to do this is by using synthetic division (I really hope you know what I'm talking about!)
If the factor is x + 2 = 0, then the solution or the root is x = -2. We will put -2 outside the "box" and the coefficients from the terms of the polynomial inside the "box":
-2| 1 0 0 8
Bring down the first number and multiply it by the -2. Put the product up under the first 0 and add:
-2| 1 0 0 8
-2
1 -2
Now multiply the -2 by the -2, put the product up under the next 0 and add:
-2| 1 0 0 8
-2 4
1 -2 4
Now multiply the 4 by the -2, put the product up under the 8 and add:
-2| 1 0 0 8
-2 4 -8
1 -2 4 0
Those bold numbers are the coefficients to the quotient, which is another polynomial, but is one degree less than the one you started with:
x² - 2x + 4 = 0
Since there is no remainder, then x = -2 is a zero of x³ + 8, and (x + 2) is a factor.
There is a whole world of stuff to learn about quadratics!!
Answer:
470<x<530
Step-by-step explanation:
Let x be number of acceptable words
|x-500|<300
we write absolute value inequality representing the acceptable number of words, given the fact that absolute deviation is at most 30 words
-30<x-500<30
500-30<x-500+500<30+500
470<x<530.
Answer:
15.5 yards
They will be picked up at an elevation of 15.5 yards
Step-by-step explanation:
Here we are going to make the ski slope of the mountain as the hypotenuse of a right-angled triangle where the top of the slope and bottom of the slope are two ends of the hypotenuse.
We first have to find the height of the top of the mountain with respect to the bottom.
Here we have been given heights with respect to sea level above and below.
Clearly, sum of the distances above and below sea level will be total elevation with respect to the bottom.
h1 - Height of summit above sea level
h2 - Height of bottom below sea level
Hb - Elevation of top w.r.t bottom
Hb = h1 + h2
Hb = 
Hb = 31 yards
Now, the ski lift is picking them up in the middle of the slope (hypotenuse of the triangle).
By midpoint theorem line segment parallel to base joins the midpoints of the other 2 sides.
Thus the elevation will clearly be half of total elevation.
Height at which they are picked up is Hb/2
Therefore,
They will be picked up at an elevation of 15.5 yards