Answer:
B. y = -3/4x + 5/2
Step-by-step explanation:
Take two points from the graph, let's use (-2, 4) and (2, 1):
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (1 - 4) / (2 - (-2))
= -3/4
Find y-intercept using slope above and anyone point:
y = mx + b
(1) = -3/4(2) + b
1 = -3/2 + b
b = 1 + 3/2
b = 5/2
Equation of line using m and b above:
y = mx + b
y = -3/4x + 5/2
Answer:
x = -12
Step-by-step explanation:
2x^2 + 8 = x^2 - 16
2x + 2x + 8 = x + x - 16
4x + 8 = 2x - 16
-2x -2x
2x + 8 = -16
-8 -8
2x = -24
---- ------
2 2
x = -12
Answer:
The probability that the maximum speed is at most 49 km/h is 0.8340.
Step-by-step explanation:
Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.
The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.
To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.
The formula to convert <em>X</em> into <em>z</em>-score is:

Compute the probability that the maximum speed is at most 49 km/h as follows:
Apply continuity correction:
P (X ≤ 49) = P (X < 49 - 0.50)
= P (X < 48.50)

*Use a <em>z</em>-table for the probability.
Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.
The area of Vivian’s garage door is 62.5 square feet
<h3>Area of composite shape.</h3>
The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;
Area = Area of rectangle + area of trapezoid
Area = (5 * 8) + 0.5(7 + 8)*3
Area= 40 +22.5
Area = 62.5 square feet
Hence the area of Vivian’s garage door is 62.5 square feet
Learn more on composite shapes here: brainly.com/question/8370446
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