Answer:
Step-by-step explanation:
The given equation is ,
This equation is in slope intercept form , wrt that we have ,
- slope = 3
- y - intercept = (-1) .
So the graph will paàs from one unit below the y axis , having a slope of 3 . The coordinates at x axis will be (0.33 ,1 )
Refer to the required graph in attachment !
Answer:
y = (x - 6)^2 - 20
Step-by-step explanation:
Let's start by completing the square for x^2 - 12x. Half of the coefficient of x is (1/2)(-12), or -6. Square this and add it to x^2 - 12x, and then subtract it:
x^2 - 12x + 36 - 36 + 23 = 7
Rewriting the first three terms,
(x - 6)^2 -13 = 7, or
y = (x - 6)^2 - 20
The vertex is located at (h,k), which here is (6, -20).
Answer:
Step-by-step explanation:
First, we need to find the common denominator
The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.
2 × 5 = 10
So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:
= We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.
Do the same thing for the other one:
=
Finally, subtract the two fractions to find the difference between the two times:
=
The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.
Answer: 9x2 + 15x -6
Step-by-step explanation: ( 3x + 6) (3x -1)
9x2 - 3x + 18x - 6
= 9x2 + 15x -6
Step-by-step explanation:
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