For the first digit, we have 5 options that are 4,5,6,7,8 . For the second digit, we have 4 options which are 3,4,5 or 6 and for the third digit, we have the options of all numbers except 2 or 5 that is 1,3,4,6,7,8,9,0 . SO we have 8 options for third digit . So to find the total number of options, we need to multiply all the possible options for each digit that is 5 times 4 times 8 = 160 . So the number of possible options are 160 .
We know that: <span>3(x-1)^2-162=0
or (x-1)</span>²= 162:3
and (x-1)²= 54
we <span>take the square root of both sides
* x-1=</span>√54= 3√6 or x=1+3√6
* x-1= -<span>√54= -3√6 or x=1-3√6
This equation has 2 solutions</span>
Answer:
yes it is
Step-by-step explanation:
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The formula for calculating slope is expressed as
m = (y2 - y1)/(x2 - x1)
From the information given, the line passes through an initial point of (- 9, 6) and (1, 27). This means that
x1 = - 9, y1 = 6
x2 = 1, y2 = 27
By substituting these values into the slope formula, we have
m = (27 - 6)/(1 - - 9) = 21/(1 + 9) = 21/10
We would find the y intercept by substituting m = 21/10, x = - 9 and y = 6 into the slope intercept equation. We have
6 = 21/10 * - 9 + c = - 189/10 + c
c = 6 + 189/10 = 249/10
By substituting m = 21/10 and c = 249/10 into the slope intercept equation, the equation of the line is
y = 21x/10 + 249/10
In decimal form, the equation of the line is
y = 2.1x + 24.9