Hello.
The mathematical symbol that would best fill the blank to compare both numbers is '>', which indicates a number is greater than the other.
Hope I helped.
Oh okie oh gosh lol lol I don’t know
3. Is alternate interior angles
4. Supplementary angles
5. Exterior angles
6. 76
7. 75
8. 114
9. 130
To factor out you have to think what multiples to AC and adds to B.
Ax^2+Bx+C
So... for this problem AxC=1x-24 or -24
B is -2.
So what two numbers multiply to -24: -3x8, -8x3, -4x6, -6x4, -2x12, -12x2.
Out of these, which adds to -2: -6+4=-2.
So the factors are (d-6)(d+4)
OR the longer way, which you really only use if A is not equal to 1.
Use the terms above and then rewrite the equation with two middle terms: d^2+4d-6d-24
Group the terms by using addition: (d^2+4d)+(6d-24)
Find what they have in common and factor it out. For the first, it's d. They both have d. So: d(d+4)
To check this, distribute the d. It should equal the first set lf parenthesis.
For the second, they have a number in common. 6 is a multiple of 24 so you can take that out: -6(d+4)
If the terms inside the parenthesis are the same, that's good. It means we can pair the insides and the outsides together to form the factors.
The two terms outside the parenthesis: d, -6 group together and become (d-6)
The inside terms stay the same: (d+4)
(d-6)(d+4)
Again, this is the longer way and no necessary for a problem like this. But if it was 2d^2, then this would be perfecf.
The inverse function of the function above is f(x) = 4x + 8
You can find the inverse to any function by switching the x and f(x) values. After that, solve for the new f(x) value. The result will be the inverse function. The step-by-step process for this one is done below for you.
f(x) = 1/4x - 2 ----> Start by switching the f(x) and x
x = 1/4f(x) - 2 ----> Now add 2 to both sides
x + 2 = 1/4f(x) ----> Now multiply both sides by 4
f(x) = 4x + 8
Now that you've solved it for the new f(x), you have your inverse function.
