Answer:
A. y = 3x - 8
Step-by-step explanation:
y = 3x - 4
This equation is in the form
y= mx+b where the slope is m
The slope is 3
We are looking for an equation with slope 3
A. y = 3x - 8 yes
B. y = -3x - 3 no -3
C. y = -3x - 9 no -3
D. y = -3x - 15 no -3
As you progress in math, it will become increasingly important that you know how to express exponentiation properly.
y = 2x3 – x2 – 4x + 5 should be written <span>y = 2^x3 – x^2 – 4^x + 5. The
" ^ " symbol denotes exponentiation.
I see you're apparently in middle school. Is that so? If so, are you taking calculus already? If so, nice!
Case 1: You do not yet know calculus and have not differentiated or found critical values. Sketch the function </span>y = 2x^3 – x^2 – 4^x + 5, including the y-intercept at (0,5). Can you identify the intervals on which the graph appears to be increasing and those on which it appears to be decreasing?
Case 2: You do know differentiation, critical values and the first derivative test. Differentiate y = 2x^3 – x^2 – 4^x + 5 and set the derivative = to 0:
dy/dx = 6x^2 - 2x - 4 = 0. Reduce this by dividing all terms by 2:
dy/dx = 3x^2 - x - 2 = 0 I used synthetic div. to determine that one root is x = 2/3. Try it yourself. This leaves the coefficients of the other factor, (3x+3); this other factor is x = 3/(-3) = -1. Again, you should check this.
Now we have 2 roots: -1 and 2/3
Draw a number line. Locate the origin (0,0). Plot the points (-1, 0) and (2/3, 0). This subdivides the number line into 3 subintervals:
(-infinity, -1), (-1, 2/3) and (2/3, infinity).
Choose a test number from each interval and subst. it for x in the derivative formula above. If the derivative comes out +, the function is increasing on that interval; if -, the function is decreasing.
Ask all the questions you want, if this explanation is not sufficiently clear.
You earn $15 per lawn. 1 lawn would be $15. 15(1) is 15.
7 lawns would be 15(7), which is 105.
Answer:
(Q + R)(P - Q)
Step-by-step explanation:
PQ + PR - RQ - Q² = (Q + R)(P - Q)
Answer:
48
Step-by-step explanation:
On either side of a line, there is an angle of 180. This means that when two lines intersect, the angles on either side will equal 180.
To solve this problem, add the two angles and set it equal to zero.
(x + 34) + (2x + 2) = 180
x + 34 + 2x + 2 = 180
3x + 36 = 180
3x = 144
x = 48
The value of x is 48.
