Use substitution
3x = 2(-6x + 18) + 14
3x = -12x + 36 + 14
3x = -12x + 50
15x = 50, x = 50/15 = 10/3
Solution: x = 10/3
Answer:
Form: 2^7, 2^7 = 128
Step-by-step explanation:
You cannot multiply exponent, you must add the exponents.
4 + 3 = 7.
Keep the base the same.
Then find what 2^7 is.
Multiply:
2 x 2 x 2 x 2 x 2 x 2 x 2.
2 x 2 =
4 x 2 =
8 x 2 =
16 x 2 =
32 x 2 =
64 x 2 =
128.
First find the critical points of <em>f</em> :
so the point (1, 0) is the only critical point, at which we have
Next check for critical points along the boundary, which can be found by converting to polar coordinates:
Find the critical points of <em>g</em> :
where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at
So <em>f</em> has a minimum of -7 and a maximum of 299.
Answer:
10
Step-by-step explanation:
The general line through (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
Here that's
(1 - - 5)(y - - 5) = (4 - -5)(x - - 5)
6(y+5)=9(x+5)
6y + 30 = 9x + 45
-15 = 9x - 6y
3x - 2y = -5
Answer: 3x - 2y = -5
We could put that in slope intercept form,
2y = 3x + 5
y = (3/2) x + 5/2
Answer: y = (3/2) x + 5/2
