9514 1404 393
Answer:
4%
Step-by-step explanation:
The amount of simple interest is given by ...
I = Prt . . . . . amount P invested at annual rate r for t years
This can be solved for r:
r = I/(Pt)
Using the given values, we find the rate to be ...
r = 16/(200·2) = 16/400 = 4/100 = 4%
The annual interest rate is 4%.
Answer:
y = 8 degrees
Step-by-step explanation:
128 + 7y - 4 = 180
7y - 4 = 52
7y + 56
y = 8
Hj and jk are the same length line segments ( because the midpoint divides a line into two equal parts)
So hj = jk.
hk is the line segment which has the mid point j. It is the double of hj or jk. It can be the sum of hj and jk.
hj + jk = hk
or
2 * hj = hk
or
2 * jk = hk
I'll go over part A.
What's happening is that we are plugging some unknown number x into the function, and getting -1 as the result. The function rule is 3*x-7 which translates to "multiply the input number by 3, then subtract off 7"
Notice how multiplication comes first and then we subtract. This is following the order of operations PEMDAS (some books may call it BEDMAS depending on your region). The M for multiplication comes before the S for subtraction.
To isolate x, we follow the order of operations in reverse. We undo the "subtract off 7" then we undo the "multiply by 3"
So this is how it all works out
f(x) = 3x-7
-1 = 3x-7 .... replace f(x) with -1
3x-7 = -1
3x-7+7 = -1+7 ... add 7 to both sides to undo the "-7"
3x = 6
3x/3 = 6/3 ... divide both sides by 3 to undo the "multiplication"
x = 2
Therefore, if the input is 2, then output is -1
------------------------------------------------------------
Let's plug x = 2 into the function and see what happens
f(x) = 3x-7
f(2) = 3*2-7 .... replace x with 2
f(2) = 6-7 .... multiply
f(2) = -1 .... subtract
The input x = 2 leads to the output -1
So this confirms that x = 2 is the proper answer for part A
Answer:
C. 77x⁷ + 78x⁶ - 27x⁵
Step-by-step explanation:
Operation of functions
f(x) g(x)
f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)
Simplify or expand
(11x³ - 3x²)(7x⁴ + 9x³)
Expand the expression
11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³
Multiply
77x⁷ + 99x⁶ - 21x⁶ - 27x⁵
Combine like terms
77x⁷ + 78x⁶ - 27x⁵
Hope this helps and have a nice day
