Let the number of raspberry bushes in one garden = x
And the number of raspberry bushes in second garden = y
Garden one has 5 times as many raspberry bushes as second garden,
So the equation will be,
x = 5y -------(1)
If 22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,
Therefore, (x - 22) = (y + 22)
x - y = 22 + 22
x - y = 44 ------(2)
Substitute the value of x from equation (1) to equation (2)
5y - y = 44
4y = 44
y = 11
Substitute the value of 'y' in equation (1),
x = 5(11)
x = 55
Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.
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Answer:
, x>=0
Step-by-step explanation:
To find the inverse function , replace f(x) by y
Replace x with y and y with x
Solve the equation for y
take square root on both sides
Now subtract 6 from both sides
replace y with g(x)
Answer:
it would take 21 minutes per mile
Step-by-step explanation:
Answer:
d : [ 0 , 26 ]
Step-by-step explanation:
Given:-
- The oranges produced last year, x = 36
- The oranges produced this year, y < 10
Find:-
What are the possible values for how many fewer oranges were produced from the tree this year
Solution:-
- The possible values for how many fewer oranges were produced this year relative to last can be determined by solving an inequality that signifies a difference (d) between last year and this year production as follows:
d = x - y
d = 36 - (<10)
- To remove the inequality from Right hand side we we can shift it to left hand side by inverting the inequality sig, since last production is exactly known we have:
d≥36 - 10
d≥ 26
- So the number of oranges produced are at least 26 less than last year and lower bound would be if there is no orange produced this year. Hence, the range is:
d : [ 0 , 26 ]
<span> In a </span>regular polygon <span>all </span>sides have the same<span> length, therefore:
x</span>² + 8x - 52 = x² - 2x + 8
x² - x² + 8x + 2x = 8 + 52
10x = 60
x = 60/10
x = 6
