Answer:
x=-3,x=9
Step-by-step explanation:
x^2-6x-20-7=0
x^2-6x-27=0
x^2-(9-3)x-27=0
x^2-9x+3x-27=0
x(x-9)+3(x-9)=0
(x+3)(x-9)=0
x=-3,x=9
Answer:
Interquartile range
Step-by-step explanation:
The interquartile range gives the middle half of a dataset. It is obtained by subtractionng the value of the lower quartile (Q1) from the value of the upper quartile(3rd quartile).
Interquartile range (IQR) = Q3 - Q1
WHERE ;
Q3 = 3/4 * (n+1)th term and the first quartile (Q1) is given as ;
Q1 = 1/4 * (n+1)th term
n = size of data Given.
Answer:
Initial charge is $2.5
Hourly charge is $3.5/hr
Equation is y=3.5x+2.5
Step-by-step explanation:
Getting slope
Get fixed charge
Get equation
The slope can be found as follows. For 1 hour, charges is $6 so making time in x axis while money charged in y axis, the first coordinate is (1, 6) while for 4 hours with charge of $16.5 the coordinate will be (4, 16.5)
The slope will be given by dividing change in y axis to change in x axis. This will be (16.5-6)/(4-1)=3.5
To get the fixed charge
Using the equation y=mx+c where m is slope while c is fixed charge, x is time and y is total cost then for 1 hour
6=3.5(1)+c
C=6-3.5=2.5
Therefore, generally the equation will be y=3.5x+2.5
Initial charge is $2.5
Hourly charge is $3.5/hr
Equation is y=3.5x+2.5
Answer:
37
step by step explanation:
BODMAS
2×14=28
28+9=37
Step-by-step explanation:
dy/dx
= d/dx [x / (1 - x²)]
= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²
= (1 + x²) / (1 - x²)².
When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.
=> 1 + x² = 1 - x²
=> 2x² = 0, x = 0.
Also when x = 0, y = (0) / [1 - (0)²] = 0.
Hence the coodinates is (0, 0).
