24 min is how long it should take
Answer:
(B) x(x+1)
Step-by-step explanation:
If we take x as one of the integers,
consecutive one is going to be (x+1).
Product of two consecutive integers is x(x+1).
As the x value increases by 1 the y value increases by 6. The x value skips from 4 to 25 whihc means it increased by 21.The y value 21 * 6 + 11 or 137 when x is 25
y = 6 - 3x
x + y = 62
Since we already know the value of y, we can use substitution to find the value of x.
x + 6 - 3x = 62
<em><u>Subtract 6 from both sides.</u></em>
x - 3x = 56
<em><u>Combine like terms.</u></em>
-2x = 56
<em><u>Divide both sides by -2</u></em>
x = -28
Now that we know the value of x, we can solve for the value of y.
x + y = 62
-28 + y = 62
<em><u>Add 28 to both sides</u></em>
y = 90
The value of y is 90, and the value of x is -28 (this is your answer)
To make sure that these values are correct, we can plug them into the original equations.
y = 6 - 3x
x + y = 62
90 = 6 - 3(-28)
90 = 90 √ this is correct
-28 + 90 = 62
62 = 62 √ this is also correct