In each case, you can use the second equation to create an expression for y that will substitute into the first equation. Then you can write the result in standard form and use any of several means to find the number of solutions.
System A
x² + (-x/2)² = 17
x² = 17/(5/4) = 13.6
x = ±√13.6 . . . . 2 real solutions
System B
-6x +5 = x² -7x +10
x² -x +5 = 0
The discriminant is ...
D = (-1)²-4(1)(5) = -20 . . . . 0 real solutions
System C
y = 8x +17 = -2x² +9
2x² +8x +8 = 0
2(x+2)² = 0
x = -2 . . . . 1 real solution
Answer:
Step-by-step explanation:
Increasing the sample size in a particular study will bring about a decrease in the standard deviations of the means.
A decrease in the sample size for a particular study will bring about an increase in the standard deviations of the means.
Whereas the population mean of the distribution of sample means is the same as the population mean of the distribution being sampled from meaning that the population of the distribution of sample means never changes.
Answer:
distance = 5 units
Step-by-step explanation:
In order to solve this problem we can start by plotting the two points you were provided with (see attached picture). This will help us visualize the problem better.
Now, we need to find the distance between those two points, so in order to do so we can use the distance formula:
in this case the x's and y's are given by the given points, since they are written as ordere pairs. And ordered pairs are written in the form (x,y). So for Point C:
C=(-1,4)
and for point D
D=(2.0)
so we can now use those values in our distance formula so we get:
d=5 units.
Answer: Y=|20|
Step-by-step explanation:
|5+5|+|5+5| =|20|
