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Answer:
4
Step-by-step explanation:
y=8x+4
y=mx+b where m=slope and b=y-intercept
b=4
Answer:
Step-by-step explanation:
Write a function whose k(x) values are 5 more than four times the principal square root of x.
So,
the principal square root of x 
four times the principal square root of x 
5 more than four times the principal square root of x 
Thus,
Answer:
6,000 toothpicks
Step-by-step explanation:
In this question, we are trying to evaluate the number of toothpicks a company must sell to ensure that the money spent on production is exactly equal to revenue from sales.
What we do is this!
Let’s assign a variable to represent the number of tooth picks sold and produced by the company. Let us call this number x.
First, we evaluate the total amount spent on production of x toothpicks. From the question, we can see that the cost of producing a single toothpick is $0.01, hence, to produce x toothpicks, amount spent asides the fixed cost is $0.01 * x = $0.01x
Now, the total cost on production which includes the fixed cost of the company would be $(0.01x + 60). This is the total amount spent to produce the goods.
Now revenue from sales for x toothpicks at $0.02 each is $0.02x
Since we are looking to Breakeven, we equate the costs to the revenue.
0.01x + 60 = 0.02x
0.02x-0.01x = 60
0.01x = 60
x = 60/0.01 = 6,000 toothpicks
Answer:
37.5 acres.
Step-by-step explanation:
Fraction of his land where vegetables are grown
= 1 - 1/3 - 2/3 *3/5
(after taking away 1/3 we get 2/3 and the farmer uses 3/5 of this 2/3 to grow Maize.
= 1 - 1/3 - 6/15 LCD of 3 and 15= 15 so we write:
= 1 - 5/15 - 6/15
= 1 - (5+6)/16
= 1 - 11/15
= 4/15.
4 /15 is equivalent to 10 acres
so total area (= 1) = 10 / 4/15 Invert the 4/15 and multiply:
= 10 * 15/4
= 150/4
= 37.5 acres.
