Judging by the question I noticed that I can simplify the equation 3x-x+2=12 by one step.
The outcome of simplification should be 2x+2=12.
Next you must subtract 2 from both sides to isolate the x. The new equation should be 2x = 10.
Lastly you must divide both sides by 2, the answer you should get is x=5, D.
Smaller Angle: 49 degrees
Bigger Angle: 131 degrees
Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:
x + y = 180 (showing they both add up to 180)
x + 82 = y (to show one angle is 82 more than the other)
We can use the substitution method to solve. Since the second equation ends in "= y" we can substitute the value of it into y for the first equation.
x + y = 180; x + 82 = y ==> x + (x + 82) = 180
And now, solve for x:
x + (x + 82) = 180
x + x + 82 = 180 > combine like terms
2x + 82 = 180
2x = 98
x = 49
So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.
So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!
You need to use the "mean". -4 + -3 + -5= -12 ÷ by 3 = -4°. the answer is -4
Answer:
The average rate of change of the function over the given interval is -6
Step-by-step explanation:
The function we want to find its average rate of change is;
F(x) = 17 - x^2
Mathematically, the average rate of change of a function F(x) over an interval (a,b) can be calculated as;
{F(b) - F(a)}/(b-a)
According to this question, a = 1 and b = 5
F(a) = F(1) = 17 -(1)^2 = 17 -1 = 16
F(b) = F(5) = 17 - 5^2 = 17-25 = -8
So making the substitution; we have
(-8)-16/(5-1) = -24/4 = -6
The only "simplify" answer would be in a decimal other than that 2 is not divisible into 45. If you can't fine a whole number that multiplied with the numerator gives you the exact number of the denominator that means that you would have to use decimals or radicals.
