<h3>
Answer: 29</h3>
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Explanation:
We replace every copy of x with -2. From there, use PEMDAS to simplify
y = 3x^2 + 17
y = 3(-2)^2 + 17
y = 3(4) + 17
y = 12 + 17
y = 29
Therefore, x = -2 pairs up with y = 29.
Put another way, the point (x,y) = (-2, 29) is on the function curve.
Answer:
The equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0
Step-by-step explanation:
A line is a polynomial function of the first degree that has the following form:
y = m * x + b
where m is the slope of the line and b is the intercept with the Y axis. The slope is the inclination of the line with respect to the abscissa axis.
In this case you know that the slope of line a is ½.
Parallel lines are two or more lines in a plane that never intersect. Two lines are parallel if they have the same slope and different y-intercepts.
You have:
- y+½x=2 → y= -½x +2
- -2x+y+2=0 → y=2x -2
- 2x-2=y
The line that has the same slope as line a is the last one, so <u><em>the equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0</em></u>
Answer:
40,320
Step-by-step explanation:
The first object in the arrangement can be chosen 8 ways. The second, 7 ways (after the first one is chosen). And so on down to the last object, which will be the only remaining one. Altogether, the number of ways you can arrange the objects is ...
8·7·6·5·4·3·2·1 = 8! = 40,320
Answer:
11.5
The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation
ok distribute the 6 by multiplying it by 1q and -5
5=6q-30-19
Now subtract 30-19
5=6q-11
add 11 to both sides
16=6q
divide both sides by 6
q= 16/6
simplify
16/2=8, 6/2=3
q=8/3
