For this case, what we are going to do is use the following property:
Multiply an equation by a scalar.
In this case, the scalar will be:
k = -2
We have then that equation 2 will be:
k * (4x + y) = k * 1
-2 * (4x + y) = - 2 * 1
-8x-2y = -2
Answer:
The property that justifies this manipulation is:
Multiply an equation by a scalar.
A quadratic graph. It makes an upside down U shape
Answer: 2005
Step-by-step explanation:
Exponential function to determine the value of item after t years,
, where r= rate of growth, A=Initial value.
As per given , A = 7.85% = 0.0785
A = $125,000
Substitute all values in function, we get
When f(x)= 3A , then
Taking tog on both sides , we get
The year will be 1990+15= 2005
Hence, the required year = 2005
Answer:
There will be required 590 repair persons.
Step-by-step explanation:
Lets count the amount of minutes that are going to be used per week repairing. The amount of minutes of repair work required per week is
100*23 + 100*42+ 100*19 + 150*27 + 150*35 = 17700.
Each worker works 6 hours per day in average and 5 times per week. This means that each worker will do 30 hours of work each week. Therefore, we will need 17700/30 = 590 workers (In practice you should contract a few more, like 600, just in case).
The range<span> of a function is the set of all the possible function outputs. </span>We know that <span>sin theta varies between -1 and 1 if we draw a graph. </span><span>According to the graph, the largest number that is an output of </span>g<span> is -1</span><span>, and the smallest number is 1</span><span>. Every number between them is also an output of </span>g<span> for some input. Therefore, the range of </span>g is [-1,1]. <span>
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