3k+7k-2=6k+16
10k-2=6k+16
10k-6k=16+2
4k=18
k=18/4
k=9/2
Given that:
y < x² + 2
y > x² - 6
Using the graphing technology:
The vertex of first equation will be: (0,2)
As, y is less than the quadratic equation, the outer portion of the parabola will be shaded and the parabola's boundary will be dotted line.
Similarly,
the second equation will vertex, (0,-6), will be a dotted parabola and the inner part of the parabola will be shaded.
Solution to the set of equations will be the common shaded region as shown in the graph attached. There is no common point which intersects both the equations.
Answer:
26^9 = 5,429,503,678,976
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
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"Simplest form" often means that all multiplications and divisions are to be carried out.
The answer is B bc 1/2 = 4/8 and then 4/8 + 3/8 = 7/8
Answer:
C) 7
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Work Shown:
Use the slope formula
m = (y2-y1)/(x2-x1)
Plug in the given slope we want m = -5/3 and also the coordinates of the points. Then isolate r
m = (y2-y1)/(x2-x1)
-5/3 = (2-r)/(r-4)
-5(r-4) = 3(2-r) .... cross multiplying
-5r+20 = 6-3r
-5r+20+5r = 6-3r+5r .... adding 5 to both sides
20 = 6+2r
20-6 = 6+2r-6 ....subtracting 6 from both sides
14 = 2r
2r = 14
2r/2 = 14/2 .... dividing both sides by 2
r = 7
The slope of the line through (4,7) and (7,2) should be -5/3, let's check that
m = (y2-y1)/(x2-x1)
m = (2-7)/(7-4)
m = -5/3
The answer is confirmed