Answer:
8/3
Step-by-step explanation:
Here's the first part:
y = 8x - 9 --(i)
y = 4x - 1 -- (ii)
then in eqn( i),
4x - 1 = 8x -9 (from eqn( ii) )
-1 +9 = 8x -4x
8 = 4x
x =2
then in eqn (i),
y = 8*2 -9
= 16 -9
= 7
The 2nd part:
When these two equations are graphed, at point (2,7) the lines representing the two equations intersect because these values (2,7) satisfies the given equations.
I believe your interval is [-2,2]: all numbers between -2 and +2.
Then the ave. r. of c. on this interval is:
f(2) - f(-2) 4^2 + 2 - {4^(-2) + 2}
------------- = ------------------------------
2 - (-2) 4
16 - (1/16) 15 15/16
= --------------------- = --------------- = 3.98 or 255/64
4 4
Answer:
C = 2p² + 3p - 5
Step-by-step explanation:
Let A & B denote the other two adjacent sides respectively.
Let the third side be denoted by C
<u>Given the following data;</u>
Perimeter of triangle = 6p² - 4p + 9
Length of one side = p² - 2p + 1
Length of one side = 3p² - 5p + 3
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
P = A + B + C
6p² - 4p + 9 = p² - 2p + 1 + 3p² - 5p + 3 + C
6p² - 4p + 9 = 4p² - 7p + 4 + C
C = 2p² + 3p - 5
Answer:
30%
Step-by-step explanation:
percentage = (discount/total amount)*100
= (8.40/28)*100=30%
