First no. = x
Second no. = y
Equation Formation
x + y = 6..........equation(i)
x - y = 10...........equation (ii)
x = 6 - y
6 - y - y = 10
6 - 2 y = 10
-2 y = 10 -6
-2 y = 4
y = -2
x = 6 + 2
x = 8
Answer = 8 , -2
40x+8x^2=0 can be solved for x (there are two solutions):
Divide all 3 terms by the greatest common multiple (which is 8x):
40x+8x^2=0
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8x 8x
5 + x = 0 produces the root x = - 5.
Setting 8x = 0 and solving for x produces the root x = 0.
Be certain to check these results. substitute x = -5 into 40x+8x^2=0. Is the resulting equation true or false? Next, subs. x=-5 into 40x+8x^2=0. Is the resulting equation true or false?
Answer:
The correct answer would be C
Step-by-step explanation:
Looking at the data, you can tell that the first two are going to be wrong. The minimum is 1, and the maximum is 5.
A mode, by definition, is the number that appears most in the data. According to answer D, 3 appears 3 times in the data. That is incorrect, as 3 only appears twice in the data.
This leaves only answer C. We need to make sure it's correct. The answer mentions the mean as a value between 2 and 3. Mean is the average. To find the average, you must add all the values together first.
1 + 2 + 5 + 3 + 2 + 2 + 5 + 3 = 23
Then, you must divide the value by the number of data given. There are 8 numbers here, so you must divide 23 by 8.
23/8 = 2.875
2.875 is between the numbers 2 and 3 like answer C said, so C is correct.
Answer:
$6750 in the bank account and $20,250 in the stock fund
Step-by-step explanation:
If B is the money they put in the bank and S is the amount they put in the stock fund, then:
B + S = 27000
1.024 B + 1.072 S = 1.06 × 27000
Solving the system of equations:
1.024 (27000 − S) + 1.072 S = 28620
27648 − 1.024 S + 1.072 S = 28620
0.048 S = 972
S = 20250
B = 27000 − S
B = 6750
They should put $6750 in the bank account and $20,250 in the stock fund.
Answer:
ac is parallel to df because it doesn't intersect with each other
