Answer:
87.975
Step-by-step explanation:
76.5 x 15% = 11.475
76.5 + 11.475 = 87.975
We would first determine how to solve this, and then from there, we would then see whether the following answer would be the correct answers.

Now, we can determine whether the say "yes" or "no" to the following answers.
<span>
a 2(x-5)(x+5) = YESb -2(x+5)(x+5) = NO
c -2(5-x)(x+5) = NO</span>
Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
<u>Proof</u>
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
Answer:

Step-by-step explanation:
<u><em>The correct question is</em></u>
What value of b will cause the system to have an infinite number of solutions?
y = 6x – b
–3x + 1/2y = –3
we have
----->equation A
-----> equation B
we know that
If the system has infinite number of solutions then, the equation A must be equal to the equation B
so
isolate variable y in the equation B

Multiply by
both sides

-------> new equation B
To find out the value of b, equate equation A and equation B


The question is saying that the line KJ is approximately equal to the line JN and that the line JN is perpendicular to the line NL. The line labeled LKN is shorter than LNK due to the fact that the line segments in LNK are longer because JN is perpendicular to NL:)