Answer:
A. (1, -2)
B. the lines intersect at the solution point: (1, -2).
Step-by-step explanation:
A. The equations can be solve by substitution by using the y-expression provided by one of them to substitute for y in the other.
This gives ...
3x -5 = 6x -8
Adding 8-3x to both sides, we get ...
3 = 3x
Dividing both sides by 3 gives ...
1 = x
Substituting this value into the first equation, we can find y:
y = 3(1) -5 = -2
The solution is (x, y) = (1, -2).
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B. The lines intersect at the solution point, the point that satisfies both equations simultaneously. That point is (1, -2).
Answer:
z=-7
Step-by-step explanation:
-9+8*14z+8*2=7*17z+7*8
-9+112z+16=119z+56
112z+7=119z+56
-112z -112z
7=7z+56
-56 -56
-49=7z
:7 :7
z=-7
Since the sphere is located at the center and has radius 5.
Out of the following given points,
(5,5,-5) will lie on the sphere, where x and y coordinates will be positive and z coordinate will be negative.
This is because the radius of the circle is 5 units.
Answer:
- 6
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
here [ a, b ] = [ - 7, - 1 ]
f(b) = f(- 1) = (- 1)² + 2(- 1) - 8 = 1 - 2 - 8 = - 9
f(a) = f(- 7) = (- 7)² + 2(- 7) - 8 = 49 - 14 - 8 = 27
Hence
average rate of change = 
= 
= - 6
The domain of the graphed function is [-3, 2)
<h3>How to determine the domain and the range?</h3>
From the given graph, we have the following highlights:
- Minimum x value = -3 (closed circle)
- Maximum x value = 2 (open circle)
Open circles are represented with () while closed circles are represented with []
Hence, the domain of the graphed function is [-3, 2)
Read more about domain at:
brainly.com/question/2264373
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