I tried to show all work.
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = x² - 6x + 8 and g(x) = x + 2
To solve f(x) = g(x), equate the right sides, that is
x² - 6x + 8 = x + 2 ← subtract x + 2 from both sides
x² - 7x + 6 = 0 ← in standard form
(x - 1)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 6 = 0 ⇒ x = 6
These solutions can be verified from the tables, that is
f(x) = g(x) = 3 ← when x = 1
f(x) = g(x) = 8 ← when x = 6
Answer: About 3.06
Step-by-step explanation:
We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.
Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.
cos(θ) = 
cos(40) = 
0.766 ≈
3.06 ≈ x
x ≈ 3.06
To do this we need to rewrite the equation in terms of y
4y=12-3x
y=3-3x/4
Therefore the gradient is -3/4
For 1 kilometer, the customary measure is 62/100 miles. The easiest way to think about this is to forget that the units are miles. Instead think of it as money. If I have $1 that means I have 100 out of 100 cents. So if I have 50 cents my fraction is 50/100; and the way we write this is 0.50... if I have 32 cents then my fraction is 32/100 and we write this as 0.32. So if you have 62 cents out of a 100, how would you write that in decimal form?
