Answer:
x=9,-1 and 
Explanation:
We are given the quadratic equation 
, which we then compare with the standard form of a quadratic. The general quadratic is identified as 
. From our given equation, it follows that a=1,b=-8,c=-9
. To calculate the discriminant, we insert these values into the formula 
. Now, to find the value of x
The formula is 
. The resulting equation will be obtained by rewriting the original equation through rearranging 9 to the right side and applying negative signs within brackets to convert the expression into the form of
.
In this scenario, we'll define the following variables:
x: total volume of potting soil in liters.
y: quantity of potting soil allocated to each pot in liters.
To determine the number of pots, we can use the expression:
Substituting in the respective values yields:
Reformatting gives us:
When rounding down to the nearest whole number, we find:
The conclusion is:
Yao Xin is capable of filling 18 pots.
The equation of the perpendicular line can be identified by determining its slope and applying the given point within the standard formula.
Standard equation: y-y1 = m(x-x1)
m*m'=-1
where m' indicates the slope of the perpendicular line
m denotes the slope of the original line
m = -coefficient of x/coefficient of y = -4/-3 = 4/3
m' = -3/4
Substituting the point (3, -2):
y+2 = -3/4*(x-3)
4y+8 = -3x+9
Thus, the equation of the perpendicular line is: 3x+4y-1=0
The correct answer is "Option B." There seems to be an error with the options provided; however, the appropriate choice is detailed in the attached file. If the column of the matrix and the span of A are both equal to R^5, then A must have a pivot in each row, hence resulting in five pivot columns that confirm choice B as accurate.
Answer:
(a) 
(b) 
Step-by-step explanation:
Calculate 
for each term.
For Question a
With x = 3, y = 4, and dx/dt = 5.
For Question b
Given x = 4, y = 3, and dx/dt = -5.
