Answer:
Step-by-step explanation:
a.
2y - 3x = 5
2(-2) - 3x = 5
-4 - 3x = 5
-3x = 9
x = -3
(-3,-2) is another solution
b.
(-1,1)
2y - 3x = 5
2(1) - 3(-1) = 5
2 + 3 = 5
5 = 5
true, the point is a solution to the equation because the equation is true after substituting x and y with the point (-1,1)
(4,1)
2y - 3x = 5
2(1) - 3(4) = 5
2 - 12 = 5
-10 = 5
not true, the point is not a solution to the equation because the equation is not true after substituting x and y with the point (4,1)
c. You can use the points from the given (-1,1) and (-3,-2) to form a line. You then shade whichever half solves the solution using points on the graph.
There are 30 days in April.
If 18 days had rain, it means 12 didn't.
18/30=x/100
Make sure both fractions can be made into fractions with a denominator of 100:
180/300=x/100
Divide 180/300 by 3:
60/100=x/100
This shows that the 18 days that did rain take up 60% of the whole month.
So then the remaining 12 days that didn't have rain must take up 40% of the month.
Solution:
40% of the days did not have rain during the month of April
Answer:
First we need to put all the given information in a table, that way we'll express it better into inequalities.
Cost Production Max.
Console screen (x) $600 450
Wide-screen (y) $900 200
$360,000
We have:
Because they can't spend more than $360,000 in production.
Because the number of television is restricted.
The profit function is
(this is the function we need to maximize).
First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).
Now, we test each point in the profit function to see which one gives the highest profit.
For (300,200):
300 console screen and 200 wide screen give a profit of $77,500.
For (450,100):
450 console screen and 100 wide screen give a profit of $76,250.
<h3>
Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,</h3>
Answer:
18.84cm
Step-by-step explanation:
There is a formula which for the diameter is pie (3.14) times the diameter. Now if you have the radius it would be pie (3.14) times 2 times whatever the radius would be. Now you could use either formula for this, just divide the diameter by two to get 3.
So 3x2x3.14=18.84cm
So then you could just multiply 6x3.14 and still get 18.84cm
Answer:
7 15 178
Step-by-step explanation:
