Answer:
a)
b)
Step-by-step explanation:
From the question we are told that:
Distance
Time of flight
Flight back
Generally the equation for Time for flight with jet steam is mathematically given by
Generally the equation for Time for flight against jet steam is mathematically given by
Solving equ 1 and equ 2 simultaneously
Therefore
Answer:
The first one: the error was that the 3 shouldn’t have been moved but the 5 should have. The correct answer is k=-8
The second one: the error was that they added the 6 and 4, you would only get -10 if the 4 was - the correct answer is -2
You can check your answer by plugging in your answer to the variable and making sure both side equal each other
Step-by-step explanation:
The first one: the 5 should be - from both side so you get k=-8
The second one: the 4 should be + to both sides. And the -6 and +4 should be added together to get n=-2
Remember you always want to get the variables by themselves.
Sorry that was a lot. Hope it helps!
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Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2
+41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2
+ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2
+41x+28 as (15x^2
+20x)+(21x+28).
(15x^2
+20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
9 years because if you do 4700 * 1.03= 4831 now do that 9 times you get 6,132.43