Answer:
(0,6),(-2,0)
Step-by-step explanation:
The given equation are;
and
We equate both equations to get;
Regroup all terms on the left hand side to obtain;
Factor;
We can put the values of x into any of equations preferably the linear equation to get;
, when x=0.
and
, when x=-2.
The solutions are
(0,6),(-2,0)
Answer:
3 (5x+2y = 0)
2 (2x – 3y = -19)
Step-by-step explanation:
5x+2y=0 (1)
2x-3y=-19 (2)
To eliminate y from the first two equation when applying the linear combination method
We will multiply y Equation (1) and (2) with 3 and 2 respectively so that the coefficients of y in the two equations +6 and -6 respectively
3(5x+2y=0)
2(2x-3y=-19)
We have,
15x+6y=0 (3)
4x-6y= -38 (4)
Add Equation (3) and (4)
19x=-38
x= -2
Substitute x= -2 into (1)
5x+2y=0
5(-2)+2y=0
-10+2y=0
-10= -2y
y=-10/-2
=5
y=5, x=-2
Answer:
Replacement time of 10.064 years.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the replacement time that separates the top 18% from the bottom 82%.
This is the value of X when Z has a pvalue of 0.82. So it is X when Z = 0.915.
Replacement time of 10.064 years.
A^2 + b^2 = c^2
324 + 6400 = c^2
6,724 = c^2
c = 82
82 cm.