Answer:
-82, -83, -84
Step-by-step explanation:
Using a variable and corresponding expressions, we can set the sum of the consecutive integers equal to -249 and solve:
first integer: x
second integer: x + 1
third integer: x + 2
x + x + 1 + x + 2 = -249
Combine like terms: 3x + 3 = -249
Subtract 3 from both sides: 3x + 3 - 3 = -249 - 3 or 3x = -252
Divide both sides by 3: 3x/3 = -252/3
Solve for x: x = -84
first integer: -84
second integer: -84 + 1 = -83
third integer: -84 + 2 = -82
Answer:
The slope is 3 and the y intercept is -7/4
Step-by-step explanation:
We need to get the equation in the form
y = mx+b where m is the slope and b is the y intercept
12x - 4y =7
Subtract 12x from each side
12x-12x -4y = -12x +7
-4y = -12x+7
Divide each side by -4
-4y/-4 = -12x/-4 +7/-4
y = 3x + -7/4
The slope is 3 and the y intercept is -7/4
Now you see when you use a model it is harder kepause........
Answer:
a) This integral can be evaluated using the basic integration rules. 
b) This integral can be evaluated using the basic integration rules. 
c) This integral can be evaluated using the basic integration rules. 
Step-by-step explanation:
a) 
In order to solve this problem, we can directly make use of the power rule of integration, which looks like this:

so in this case we would get:


b) 
In order to solve this problem we just need to use some algebra to simplify it. By using power rules, we get that:

So we can now use the power rule of integration:



c) The same applies to this problem:

and now we can use the power rule of integration:


