Answer:
(- 5, - 7 )
Step-by-step explanation:
Equate f(x) and g(x), that is
2x + 3 = - 4x - 27 ( add 4x to both sides )
6x + 3 = - 27 ( subtract 3 from both sides )
6x = - 30 ( divide both sides by 6 )
x = - 5
Substitute x = - 5 into either of the 2 functions for y- coordinate
Substituting into f(x)
f(- 5) = 2(- 5) + 3 = - 10 + 3 = - 7
Thus point of intersection = (- 5, - 7 )
You simply plug in the value of x in each equation to find y.
1)
y = 7 - 3(2)
y = 7 - 6
y = 1
2)
y = 18/2
y = 9
hope this helped, blessings!
Answer:

Step-by-step explanation:
we know that
The triangle HPY is a right triangle (because the angle ∠HYP is a right angle)
Applying the Pythagorean Theorem
substitute the given values
Solve for HY

Answer:
$10.27
Step-by-step explanation:
H + F = $8, (7% of 8 is 0.56) [$8.56] + 20% = 10.272 --> $10.27