The solutions will lie in all the four quadrants.
y≤2/7x+1
We have the following inequality:
y=2/7x+1
If x=0
y=2/7(0) +1
y=1
If y=0
x=-3.5
So the line passes through the points:
(0,1) and (-3.5,0)
To find the shaded region, let us take a point, namely, the origin and test it in the inequality:
y≤ 2/7x +1
0≤ 2/7(0) +1
0≤ 1 which is true
Since this is true, then the shaded region includes this point. This is shown below and as you can see the solutions exist in all four quadrants.
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For this case we have:
By trigonometric property we have:
Where:
Substituting:
Clearing x we have:
Thus, the equation is:
Answer:
Answer:
Step-by-step explanation:
Given the quadratic function
Evaluating the quadratic function
substitute x = 3
Therefore,
Simplify 5/10 to 1/2
find the LCD of both fractions and that would be 18
make the denominators the same as the LCD
Simplify, now denominators are equal
join the denominators
simplify it now (23/-18)
convert to mixed fraction
Answer: -1 5/18.
There was $800 deposited at 9% interest and $400 deposited at 4% interest.
The formula for simple interest is I = prt. Using our information we have:
88 = x(0.09)(1) + (1200-x)(0.04)(1)
88 = 0.09x + 48 - 0.04x
88 = 0.05x + 48
Subtract 48 from both sides:
88 - 48 = 0.05x + 48 - 48
40 = 0.05x
Divide both sides by 0.05:
40/0.05 = 0.05x/0.05
x = 800
1200 - x = 400
