The graph shows that the function is equal to y = 2cos(3x) + 1 because in the graph I notice that the table is (0, 3), (60°, -1), and (120°, 3). It shows that a is equal to 2, b is equal to 3, and c is equal to -1, making the function equal to y = 2cos(3x) + 1
a = 2
b = 3
c = 1
Please be specific about the kind of help you want. Ideally you'd do all the work you can and then stop and ask questions whose answers might help you move forward again. Graph the function f(x)=2x+4. This is the equation of a straight line with slope 2 and y-intercept 4. What help do you need in doing this? What help do you need beyond this?
Answer:
(3,-4) or x=3 and y= -4
Step-by-step explanation:
I'm going to solve this by substitution
We first need to get a variable by itself in one of the two equations (it doesn't matter which variable and the equation you do the work on doesn't matter either)
I'm going to solve for y in the second equation
-4x-4y=4
add 4y and subtract 4 from both sides to get
-4x-4=4y
Divide by 4 to get
-x-1=y
We can plug this value in for y into the first equation and get
4x+5(-x-1)= -8
Solve for x
4x-5x-5= -8
-x-5= -8
-x= -3
x=3
We can plug this value into one of the first two equations and solve for y
4(3)+5y= -8
12+5y= -8
5y= -20
y= -4
Therefore the solution is (3,-4) or x=3 and y= -4
Answer:
Step-by-step explanation:
12) The amount of the initial deposit is $1000
13) the slope is (y2 - y1)/(x2 - x1)
Slope = (4000 - 3000)/(6 - 4)
Slope = 1000/2 = 500
The y intercept is the value of y when x is zero. Therefore,
y intercept = 1000.
14) The equation of a straight line represented in the slope intercept form is
y = mx + c
Where
m represents slope
c represents intercept
Therefore the equation is
y = 500x + 1000
15) The slope represents rate of change in the amount saved with respect to time in months.
Answer: C. 42
Step-by-step explanation:
(3x + 3) is the same angle as 129.
So, you have to equal them to each other.
3x + 3 = 129
Now you solve.
Subtract 3 from each sides.
3x = 126
Divide 3 from each side.
x=42
