An example of a domain that can be illustrated from the information given will be D(x) = 32.
<h3>Domain and range</h3>
An example based on the information given is "A gas tank in John's car can hold 20 gallons of gas and the car gets 32 miles for every gallon".
John fills up the tank and then goes on a trip. In this case, the distance that will be travelled on one tank will be:
D(x) = 32x
In the above function, it should be noted that the number of gallons can be from 0 to 20. Since he gets 32 miles per gallon, the car can travel 640 miles.
In this case, the domain is the number of gallons that can be used. The number of miles will be the range.
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-7x^2 - 6x^2 + 3x + 5x - 5 + 2
-13x^2 + 8x - 3
The equations are dependent (they're the same equation).
If you multiply the bottom one by 5, you get the top one.
20x^2+50 = -40x^2+110x [ Taking x as the unknown positive integer ]
You want to figure out what the variables equal to, all of these are parallelograms meaning opposite sides and angles are equal to each other.
In question 1 start with 3x+10=43, this means that 3x is 10 less than 43 which is 33, 33 divided by 3 is 11 meaning x=11.
Same thing can be done with the sides 124=4(4y-1), start by getting rid of the parentheses with multiplication to get 124=16y-4, this means that 16y is 4 more than 124, so how many times does 16 go into 128? 8 times, so x=11 and y=8
Question 2 can be solved because opposite angles are the same in a parallelogram, so u=66 degrees
You can find the sum of the interial angles with the formula 180(n-2) where n is the number of sides the shape has, a 4 sided shape has a sum of 360 degrees, so if we already have 2 angles that add up to a total of 132 degrees and there are only 2 angles left and both of those 2 angles have to be the same value then it’s as simple as dividing the remainder in half, 360-132=228 so the other 2 angles would each be 114, 114 divided into 3 parts is 38 so u=66 and v=38
Question 3 and 4 can be solved using the same rules used in question 1 and 2, just set the opposite sides equal to each other
