Answer:
z = 106
y = 20
Step-by-step explanation:
Answer:
The tip is $8.52
Step-by-step explanation: You just multiply $56.8 by 0.15 and you get the tip which is $8.52.
Answer:
see below
Step-by-step explanation:
sqrt(20)
sqrt(4*5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(4) sqrt(5)
2 sqrt(5)
Answer:
(b) I, III
Step-by-step explanation:
The correct answer can be chosen based on your knowledge of the shape of the graph of f(x).
<h3>General shape</h3>
The leading coefficient of this quadratic function being positive tells you the graph will be a parabola that opens upward. The left branch of the parabola will extend to positive infinity, as will the right branch.
If there are x-intercepts, the x-values between those will be where the graph has crossed the x-axis and function values are negative.
<h3>Specific shape</h3>
The answer choices suggest that x=2 and x=5 are x-intercepts of the function's graph. These can be checked, if you like, by evaluating f(2) and f(5).
f(2) = 2² -7·2 +10 = 4 -14 +10 = 0
f(5) = 5² -7·5 +10 = 25 -35 +10 = 0
This means the function will be positive for x < 2 and for x > 5. These intervals are described by I and III.
You said . . . -12√12 - 2√3 .
Before we get all tangled up trying to work on the whole thing at once,
take a look at that first square root: √12 .
That's the same thing as √(4 · 3) and you can break it up like this:
√(4 · 3) = √4 · √3 .
Now, we know what √4 is . . . it's just 2 .
So we can write the first half of your original big quantity like this:
-12 √12
= -12 · 2 · √3
= -24√3 .
NOW, finally, let's go back and rewrite the whole thing:
-24√3 - 2√3 .
Isn't that a lot nicer looking ?
It's nearly solved all by itself ... if you don't let the √3 scare you.
It just says -24(cows) - 2(cows) .
and everybody knows, that's just -26(cows).
So -24√3 - 2√3 is just -26√3 . (choice-C)