Answer:
It would be an irrational number.
Because of π, or pi, it has no end, no pattern, and that multiplied by four will still be irrational. It can not be represented on a number line or infinite decimal expansion.
Answer:
x > 2/3
Step-by-step explanation:
-4(3x - 5) < 2(3x + 4)
Divide both sides by 2.
-2(3x - 5) < 3x + 4
Distribute on the left side.
-6x + 10 < 3x + 4
Subtract 3x from both sides.
-9x + 10 < 4
Subtract 10 from both sides.
-9x < - 6
Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.
x > (-6)/(-9)
x > 6/9
x > 2/3
Answer:
<h2>
√34sin(x + 0.33π)</h2>
Step-by-step explanation:
The general form of the equation acosx + bsinx = Rsin(x + e) where R is the resultant of the constants 'a' and 'b' and e is the angle between them.
R = √a²+b²

Given the function f(x) = 3 cos x + 5 sin x, comparing with the general equation;
a = 3, b = 5
R = √3²+5²
R = √9+25
R =√34

in radians;

3 cos x + 5 sin x = √34sin(x + 0.33π)
Answer:
It's A, c =2.5d
Step-by-step explanation:
When it comes to problems like this, I usually look through the answers and try to plug in the numbers until I get the right equation that fits with the graph.
2.5(5) = 12.5
2.5(10)= 25
2.5(15)= 37.5
2.5(20) = 50
2.5(25) = 62.5
If you compare this to the graph, you'll notice the solutions are the same as the Total Cost (c). That's because c= 2.5d is the right equation for this graph. (Sorry if my explanation is confusing)
Answer: (a)
Step-by-step explanation:
Suppose the original function is 
To shift it 2 units right, replace x by x-2 such that

So, the function becomes 