Answer:
y = 3x - 2
Step-by-step explanation:
Use the point-slope equation since we are given a point that the line passes through and its slope:
y - y1 = m(x - x1)
(-2, -8), m = 3
Substitute these values into the equation.
- y - (-8) = 3(x - (-2))
- y + 8 = 3(x + 2)
- y + 8 = 3x + 6
- y = 3x - 2
The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.
Answer:
2x + y = 17
-6x = 3y - 51
Step-by-step explanation:
You get an infinite number of solutions when two equations are really just the same. This means you can convert one into the other simply by multiplying one to get the other.
In the above answer, if you multiply the above by -3 you get:
-6x -3y = -51
which is of course -6x = 3y - 51
So that is an example of a pair that has infinite solutions.
To find all of them, you'd carefully have to compare each 2 and see if there is a multiplier to convert one into the other. You can do that!
Assume Charles charges $7*3=$21 if he babysits for 2,5 hours (that is 2 and a half hours).
That is we are not considering Charles babysitting exactly 1, 2, 3 or 4 hours, but also in between times.
then we can write the following piecewise function to describe the situation:
f is a function from (0, 4] to {$7, $14, $21, $28}
Answer:
-1.683
Step-by-step explanation:
Given :
Group 1 :
x1 = 667 ; n1 = 10 ; s1 = 20
Group 2 :
x2 = 679 ; n2 = 14 ; s2 = 15
The test statistic assuming equal variance :
x1 - x2 / √[Sp² * (1/n1 + 1/n2)]
sp² = [(n1 - 1)*s1² + (n2 - 1)*s2²] ÷ (n1 + n2 - 2)
Sp² = [(10 - 1)*20² + (14 - 1)*15²] = 296.59
Test statistic =
(667 - 679)/ √[296.59 * (1/10 + 1/14)]
-12 / 7.1304978
Test statistic = - 1.682
Answer:
15 feet
Step-by-step explanation:
Since this is a square the sides are of the same length.
Now the side multiplied by itself gives 225. Hence the length of the side is a number which multiplied by itself gives 225. It is easy to see that 15 × 15 = 225. Therefore the side is 15 feet long.
