Answer: x=2π/3 and x=4π/3
Step-by-step explanation:
The equation we have is
. All we have to do is get cosine alone to find the 2 values of x.

Now that we have our cosine left, we can use our unit circle to figure out when does cosx=-1/2. Cosine is the x value of the coordinate.
x=2π/3
x=4π/3
Answer:
Step-by-step explanation:
For Question 3, we are simply taking an input for the function, as a value of x and solving the equation. For part a, we substitute 3/14 into the first function, and solve it:
f(x) = 7(3/14) + 2
f(x) = 21/14 + 2
f(x) = 49/14
f(x) = 7/2
For part b, we take the input of -3 into the second function and solve the equation:
h(x) = 4(-3)^2
h(x) = 4(9)
h(x) = 36
For Question 4, we are simply solving this equation by isolating the x variable. First, we simplify the equation to 4-5x+15+2x = -2 and simplify this again to -3x+19 = -2. Now, we can subtract 19 from both sides of the equation to get -3x = -21. Lastly, we isolate the x variable by dividing both sides of this equation by -3, to get x = 7.
Answer:

Step-by-step explanation:
Given:


The attachment completes the question
From the attachment, the slope of the line was calculated as:

This step is inaccurate because the slope of a line is calculated using

Which gives



The line equation is then calculated using:

Substitute values for m, x1 and y1


Open bracket

Make y the subject

-2.6 I think is the correct answer
Answer:
answer c
Step-by-step explanation:
the two x-intercepts are (-4,0) and (2,0) so the factors of the equation are (x-2) and (x+4). if you multiply the factors it gives you the equation of the graph whic is x^2+2x-8 so c= -8 and b= 2