Find one point that lies in the solution set of the following system of inequalities:Y<(or equal)1/2x+6
y>-3x-1
justify answer
Answers
Multiply 1/2 by x to get (1/2)x.
y≤(1/2)x+6 and y>−3x−1
Simplify.
y≤x/2+6 and y>−3x−1
Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
x/2+6≥y and y>−3x−1
Because 6 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 6from both sides.
x/2≥−6+y and y>−3x−1
Multiply both sides of the equation by 2.
x≥−6⋅(2)+y⋅(2) and y>−3x−1
Multiply −6 by 2 to get −12.
x≥−12+y⋅(2) and y>−3x−1
Multiply y by 2 to get y(2).
x≥−12+y(2) and y>−3x−1
Multiply y by 2 to get y⋅2.
x≥−12+y⋅2 and y>−3x−1
Move 2 to the left of the expression y⋅2.
x≥−12+2⋅y and y>−3x−1
Multiply 2 by y to get 2y.
x≥−12+2y and y>−3x−1
Reorder −12 and 2y.
x≥2y−12 and y>−3x−1
Simplify the second inequality.
Because x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
x≥2y−12 and −3x−1<y
Since −1 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 1 to both sides.
x≥2y−12 and −3x<1+y
Divide each term in the inequality by −3. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
x≥2y−12 and −3x/−3>1/−3+y/−3
Cancel 3 in the numerator and denominator.
x≥2y−12 and −(−1⋅x)>1/−3+y/−3
Multiply −1 by x to get −1x.
x≥2y−12 and −(−1x)>1/−3+y/−3
Rewrite −1x as −x.
x≥2y−12 and −(−x)>1/−3+y/−3
Simplify
x≥2y−12 and x>−1/3+y/−3
x≥2y−12 and x>−1/3−y/3
Point of intersection: (-2, 5)
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Answer:
C = 18.84 ft
Step-by-step explanation:
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Answers
Multiply 1.04 by the amount of the cost, to get your answer.
But, to make this easier, and to not go through more work, lets round your money amount to $250
Now, all you have to do is multiply.
$250 · 1.04 ≈ $260
So, your answer for $250 with 4% (1.04) percent sales tax would be a grand total of:
$260
~~~~~~~~~~~~~~
-Hope this helped :)
250*1.04=260 or 259.9975 if you want to be technical
Answers
8 is the median. If yo line up the numbers from least to greatest you will get 2,4,6,8,8,10,12 and the middle number is 8.
well this is how you can find the median : To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.
If there is an odd number of numbers, this middle number is the median.
now arrange this set of odd no.s in ascending order
we get , 2,4,6,8,8,10,12
in this the middle number is 8 so 8 is the median
Answers
599.6
599.7
599.8
599.9
Answers
Answer: 9.375 cm
Step-by-step explanation:
From the given picture, it can be seen that the measure of side 'c' in triangle = 1.92 cm
The actual length of 'c' in the triangle = 15 cm.
The scale factor =
Now, the length of side 'a' = 1.2 cm
The actual length of side 'a'
1.5 cm---------------15 cm
1.2 cm--------------- x
x=(1.2 cm*15 cm) / 1.5 cm=12 cm.
answer. a=12 cm.