Answer:
Mark arrived at school at 9:45 A.M. or either 9:45 P.M.
Graphically: graph your equations and look for the intersections (these are your answers).
Algebraically: set your equations into y = format (below) and plug your values into the quadratic formula.
y = ax^2 + bx + c
(example: y = 2x^2 + 5x + 6; a = 2, b = 5, c = 6)
Answer:
i think its 7
Step-by-step explanation:
28 miles per 4 hours, so you divide them both by 4 and get 28 divided 4
and 4 divided by 4. so its 7/1 which just equals 7. please correct me if im wrong good luck.
Answer:
A
Step-by-step explanation:
We can calculate the equation of the lines based on two points. First line m:
y = ax +b
where a is the slope and b is the y-intercept. To find the slope we use the x and y of the points as:
a = ![a = \frac{y_1-y_2}{x_1-x_2} = \frac{4- -32}{2- -4} = \frac{36}{6} = 6.](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7By_1-y_2%7D%7Bx_1-x_2%7D%20%3D%20%5Cfrac%7B4-%20-32%7D%7B2-%20-4%7D%20%3D%20%5Cfrac%7B36%7D%7B6%7D%20%3D%206.)
So:
y = 6x + b
we can find the y intercept by substituting the x and y for one of the points:
solving for b:
b=-32-(6)(-4)= -8.
So the equation is:
y = 6x - 8.
We can change it to:
y + 8 = 6x
8 = 6x - y.
So it’s (A).
Hope that helps!
Answer:
0.82%
Step-by-step explanation:
First find the z-score.
z = (x − μ) / σ
z = (72 − 60) / 5
z = 2.4
Use a chart or calculator to find the probability.
P(Z > 2.4) = 1 − P(Z < 2.4)
P(Z > 2.4) = 1 − 0.9918
P(Z > 2.4) = 0.0082