1. 10
2(3 + 2)
2(5)
10
2. $631
59 + 13(44)
59 + 572
631
3. a number decreased by 4
Answer:
It's the first option.
Step-by-step explanation:
y = cos x transformed to cos (x - π/2) moves the graph π/2 units to the right.
Multiplying by 3 to give 3 cos(x - π/2) stretches the graph 3 units parallel to the y-axis and adding 3 to this moves the graph up 3 units.
So the required equation is y = 3(cos x - π/2) + 3.
Step-by-step explanation:
y = mx + c, where m is the slope of the line and c is the y-intercept.
We have y = 3x - 4 as line L.
Slope of line L = 3
=> Slope of line L2 = -1/3
We have y = -1/3 x + c as our line L2 equation.
When x = 9, y = 5.
=> (5) = -1/3 * (9) + c
=> 5 = c - 3, c = 8
Hence the answer is y = -1/3 x + 8.
Answer:
a) slope intercept form: y = -5/14 x + 7/2
b) point slope form: y - 1 = 3/2(x - 4)
Step-by-step explanation:
a) Line A: (4,1) and (0, 7/2)
Slope = (1 - 7/2)/(4 - 0)
Slope = - 5/2 * 1/4
Slope = - 5/14
Equation in slope intercept form:
y = -5/14 x + 7/2
b)
(4,1) and (0, -5)
Slope = (1 + 5)/(4 - 0) = 6/4 = 3/2
Equation in point slope form:
y - 1 = 3/2(x - 4)
