Answer:
5x² - 36x - 81
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Combining Like Terms
- Standard Form: ax² + bx + c = 0
Step-by-step explanation:
<u>Step 1: Define expression</u>
5x² - 36x - 81
<u>Step 2: Simplify</u>
<em>We cannot simplify the expression down further.</em>
1. You have that:
- The<span> lengths of the bases are (6x-1) units and 3 units.
- The midsegment has a length of (5x-3) units.
2. To solve this exercise, you must apply the formula for calculate the length of the midsegment of a trapezoid, which is shown below:
Midsegment=Base1+Base2/2
As you can see, the midsegment is half the sum of the bases of the trapezoid.
3. When you substitute the values, you obtain:
(5x-3)=[(6x-1)+3]/2
4. Now, you can solve the problem by clearing the "x":
</span>
(5x-3)=[(6x-1)+3]/2
2(5x-3)=6x-1+3
10x-6=6x+2
10x-6x=2+6
4x=8
x=8/4
x=2
Answer:
see explanation
Step-by-step explanation:
To show f and g are inverses we require to show that
f(g(x)) = x and g(f(x)) = x
f(g(x))
= f(6x - 4)
=
=
= x
-----------------------------------------------------------------------------
g(f(x))
= g(
)
= ( 6 ×
) - 4
= x + 4 - 4 = x
-------------------------------------------------
Hence f and g are inverses
First, eliminate the lowest grade (76). Now, find the average/mean of the remaining 4 test grades. To do so, add up all the test grades, then divide them by the total number of test grades:
80+84+91+95=350
350/4=87.5
Hope this helps!!
Answer: 34y
Step-by-step explanation:
So first you have to round the nearest 2 to the nears 3 then you get 30 then you have to add 4 the add you variable.