Answer:
x = approx. 1.24 or -7.24
Step-by-step explanation:
It's hard to factor directly so we should use the quadratic formula or complete the square. I'm going to go with completing the square.
x²+6x-9=0
x²+6x=9
x²+6x is the same as x²+2·3·x, in order to make this into the algebraic identity (A+B)²=A²+2AB+B², we must add B², or in this case 3² to both sides. (A is x, B is 3)
x²+6x+9=18
(x+3)²= 18
x+3= ±√18
x= ±4.24 -3 (approximately 4.24)
First solution for x = 4.24-3 = 1.24
Second solution for x = -4.24-3 = -7.24
Answer:
21 7/8 square feet
Step-by-step explanation:
To solve the above Question, we have to used the formula of a parallelogram
The formula is given as:
Base × Height
Base = 6 1/4 feet
Height = 3 1/2 feet
Area = 6 1/4 × 3 1/2
Area = 25/4 × 7/2
Area = 175/8
Area = 21 7/8 ft²
Therefore, they would need 21 7/8 square feet poster paper for the parallelogram shaped banner
I re-orders as 4,5,5,7,8,8,8,10,10.
Mean 7.2222222222222
Median 8
Mode 8
Range 6
Minimum 4
Maximum 10
Count n 9
Sum 65
Quartiles Quartiles:
Q1 --> 5
Q2 --> 8
Q3 --> 9
Interquartile
Range IQR 4
Outliers none
The answer to the first one is ' D '.
(All the angles inside a triangle have to add up to exactly 180 degrees.)
The answer to the second one is ' C ' .
(If two sides are equal, then the sides opposite them are also equal.)
There may be more than one way in which to answer this question. I will assume that the "equation" is a linear one: f(x) = mx + b.
Then (16/3) = m(1) + b
This is one equation in two unknowns, so it does not have a unique solution. Was there more to this problem than you have shared?
If we assume that the y-intercept (b) is zero, then y = mx, and
16/3 = 1m, so that m = 16/3, and so y = (16/3)x.
