After putting the value of y from the second equation to the first equation, the resultant equation is 
.
GIven:
The equations are:
It is required to put the value of y from second equation to the first equation.
<h3>How to solve equations?</h3>
The value of y from the second equation is,
Now, put this value of y in the first equation as,
Therefore, after putting the value of y from the second equation to the first equation, the resultant equation is .
For more details about equations, refer to the link:
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Answer:
Since the only numbers that are not 0 appear in the groups 5 < d ≤ 10 to 30 < d ≤ 35 the range is 5 < d ≤ 35.
Answer:
1/7
Step-by-step explanation:
&&5_4_&&&&&&&&&&&&&---
The conclusion of the remainder theorem about a situation where a function; f(x) is divided by (x+3) and has a remainder of 11 is that; f(-3) = 11.
<h3>What does the remainder theorem conclude given that f(x)/x+3 has a remainder of 11?</h3>
It follows from the task content that f(x)/x+3 has a remainder of 11.
On this note, it follows from the remainder theorem regarding the division of polynomials that; when; x + 3= 0; x = -3 and hence;
f(-3) = 11.
Ultimately, the inference that can be drawn from the remainder theorem statement as in the task content is; f(-3) = 11.
Read more on remainder theorem;
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Answer:
What is the sample variance of bottle weight 2.33
Step-by-step explanation:
First find the mean. The mean of the bottle weight is obtained by taking the ratio of the sum of ages and total number of ages.
Mean = (4+2+5+4+5+2+6) / 7
= 28 / 7
= 4
Sample Variance = ![\frac{\left[\begin{array}{ccc}(4-4)^{2} +(2-4)^{2} +\\(5-4)^{2} + (4-4)^{2} +\\(5-4)^{2} + (2-4)^{2} +\\(6-4)^{2}\end{array}\right]}{7-1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%284-4%29%5E%7B2%7D%20%2B%282-4%29%5E%7B2%7D%20%2B%5C%5C%285-4%29%5E%7B2%7D%20%2B%20%284-4%29%5E%7B2%7D%20%2B%5C%5C%285-4%29%5E%7B2%7D%20%2B%20%282-4%29%5E%7B2%7D%20%2B%5C%5C%286-4%29%5E%7B2%7D%5Cend%7Barray%7D%5Cright%5D%7D%7B7-1%7D)
=
= 2.33
