4.
gold = 150/360 = 42%....0.42(60) = 25
silver = 90/360 = 25%...0.25(60) = 15
bronze = 120/360 = 33%...0.33(60) = 20
5.
radio = 50/360 = 14%....0.14(270,000) = 37,800
internet = 90/360 = 25%...0.25(270,000) = 67,500
t.v. = 75/360 = 21%...0.21(270,000) = 56,700
magazines = 145/360 = 40%...0.40(270,000) = 108,000
6.
U.K. = 90/360 = 25%....0.25(2000) = 500
Japan = 126/360 = 35%..0.35(2000) = 700
other = 99/360 = 27.5%...0.275(2000) = 550
U.S.A. = 45/360 = 12.5%...0.125(2000) = 250
Answer:
0 & 1
Step-by-step explanation:
3(1 + x) < x + 6
Distribute
3x+3 < x+6
Subtract x from each side
3x+3-x < x+6-x
2x+3 <6
Subtract 3 from each side
2x+3-3 <6-3
2x <3
Divide each side by 2
2x/2 <3/2
x <3/2
T shirt would be $3.60
The hat is $90
<span> Simplifying
4x + 4y = 0
Solving
4x + 4y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4y' to each side of the equation.
4x + 4y + -4y = 0 + -4y
Combine like terms:
4y + -4y = 0
4x + 0 = 0 + -4y
4x = 0 + -4y
Remove the zero:
4x = -4y
Divide each side by '4'.
x = -1y
Simplifying
x = -1y</span>
Answer: (B)
Explanation: If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.
But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.
Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).
What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.
So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.