Answer:
0.625 feet long
Step-by-step explanation:
To find how long each rod is, divide 5 by 8, since the 5 feet pipes will become 8 rods:
5/8
= 0.625
So, each rod will be 0.625 feet long
Answer:
9x² - 54x + 79
Step-by-step explanation:
To find (f ￮ g)(x) substitute x = g(x) into f(x), that is
f(g(x))
= f(3x - 7)
= (3x - 7)² - 4(3x - 7) + 2 ← expand factor using FOIL
= 9x² - 42x + 49 - 12x + 28 + 2 ← collect like terms
= 9x² - 54x + 79
Hello!
Let's solve !
⇒ (x - 3)² = 5
⇒ x² - 6x + 9 = 5
⇒ x² - 6x + 4 = 0
⇒ x = -(-6) ± √36 - 4(1)(4) / 2
⇒ x = 6 ± √20 / 2 = 6 ± 2√5 / 2
⇒ x = 3 ± √5
∴ The solutions are x = 3 + √5 and x = 3 - √5.
2/3 = 6/9 So,
6/9 + 2/9 = 8/9
Answer:
1) x=0.465
2) option A.
Step-by-step explanation:
1) The given equation is:
We rewrite this as logarithm to get:
The change of base formula is:
We apply the change of base formula on the RHS to get:
Group similar terms:
2)
From the graph, the logarithmic function approaches negative infinity as x approaches -6.
Therefore the vertical asymptote is x=-6
The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.
The correct answer is A.
