Answer:
B. 18
Step-by-step explanation:
The 4 machines can produce x units in 6 days. This means they have a daily total rate of x/6 units per day.
Since the machines are similar and that they work at the same rate, this means that the individual rates of each machine would be x/6/4 = x/24 units per day.
Now we are looking at producing 3x units in 4 days. This means that we want to produce 3x/4 units in a single day. Now, since each machine would work at a rate of x/24, we need to know the number of machines we need. To know this number, we simply divide what is to be achieved by the individual rate:
This is 3x/4 divided by x/24. This mathematically means 3x/4 * 24/x = 18 machines
I did the math, which wasn't too hard if you knew how to solve it.
There will be 14 roses, which is worth $28. 14($2)
And finally there will be 17 daisies, which is worth $17. 17($1)
$28+$17=$45
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Answer:
Leon pay $448.2 for four days.
Step-by-step explanation:
Given:
Leon assembles an average of 9 machines per day.
He is paid $12.45 per machine.
Find pay for four days.
Leon pay $12.45 per machine and he is assembles an average of 9 machines per day.
So, he is pay for one day = pay for each machine 
machines assembles in one day.
Leon pay $112.05 for one day.
So, he is pay for four days is
Therefore, Leon pay $448.2 for four days.
Recall that
cos²(<em>x</em>) + sin²(<em>x</em>) = 1
Then in the equation
1 - cos(<em>x</em>) = 2 - 2 sin²(<em>x</em>)
we can rewrite as
1 - cos(<em>x</em>) = 2 (1 - sin²(<em>x</em>))
1 - cos(<em>x</em>) = 2 cos²(<em>x</em>)
2 cos²(<em>x</em>) + cos(<em>x</em>) - 1 = 0
Factorize the left side as
(2 cos(<em>x</em>) - 1) (cos(<em>x</em>) + 1) = 0
so that
2 cos(<em>x</em>) - 1 = 0 <u>or</u> cos(<em>x</em>) + 1 = 0
cos(<em>x</em>) = 1/2 <u>or</u> cos(<em>x</em>) = -1
On the interval (-<em>π</em>, <em>π</em>) (note that this interval is open, so we don't allow <em>x</em> = <em>π</em>), we have
• cos(<em>x</em>) = 1/2 for <em>x</em> = <em>π</em>/3 and <em>x</em> = -<em>π</em>/3
• cos(<em>x</em>) = -1 for <em>x</em> = <em>π</em>
Ax + By + C = 0
A. 3x + 5y + 45 = 0
3x + 5(0) + 45 = 0
3x = -45
x = -45/3......x int.....-C/A
x = -15
B. To find the x intercept, u must sub in 0 for y and solve for x
C. This is not true for a horizontal line because u can't sub in 0 for x because a horizontal line never crosses the x axis and therefore, does not have an x axis.
D. y int is -C/B....u find this by subbing in 0 for x and solving for y
3x + 5y + 45 = 0
3(0) + 5y + 45 = 0
5y = -45
y = -45/5......y int = -C/B
y = -9
