Find all numbers such that the square of the number is 48 more than double the number. If you find more than one, then list all the numbers you find in increasing order, separated by commas.?
Answers
Answer:
-6, 8
Step-by-step explanation:
Let the numbers be represented by y
Square of y = y^2
Double y = 2 × y = 2y
Square of the number is 48 more than double the number is written mathematically as
y^2 = 2y +48
y^2 - 2y - 48 = 0
This is a quadratic equation and can be solved by method of factorisation
y^2 -2y - 48 = 0
y^2 + 6y - 8y - 48 = 0
(y^2 + 6y) - (8y - 48) = 0
y(y + 6) - 8(y + 6) = 0
(y + 6)(y - 8) = 0
y = -6, 8
The numbers are -6, 8
Answer:
8, -6
Step-by-step explanation:
Let the number be $n$, so we have $n^2 =48 + 2n$. Rearranging this equation gives $n^2 -2n-48=0$ and factoring gives $(n-8)(n+6)=0$. So, the numbers that fit the problem are $\boxed{n = -6~\text{and}~n = 8}$.
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Answers
Answer:
The sum of the series is 9.99
Step-by-step explanation:
We are given the series .
So, , where n=3 to 12
Then, we have,
Thus, the common ratio is
Since, the sum of first n terms of a series is .
As n = 3 to 12, then the number of terms = 10, first term=a₃= 5 and r= 0.5
So, the sum of 10 terms is
i.e.
i.e.
i.e.
i.e. S = 9.99
Hence, the sum of the series is 9.99
Answer: 9.99
Step-by-step explanation:
I just took the quiz!
A(x) = 300 - 20m
A(x) = 15m
A(x) = 300 + 20m
Answers
Final answer:
The equation modelling Sonya's savings is A(m) = 300 + 20m, where A is the total saved, 300 is the initial amount saved, 20 is the amount saved monthly, and m is the number of months.
Explanation:
The correct model for this question is A(m) = 300 + 20m. This is because Sonya initially has $300 in her savings account, represented by the 300 in the equation, and each month she saves an additional $20, represented by the 20m in the equation. The variable m in the equation represents the number of months Sonya has been saving money. So each time m increases by 1 (meaning one month passes), the total amount of money, A, increases by $20. So if m represents 3 months, Sonya has $300 + $20*3 = $360 in her account.
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can someone help with this?
Answers
Answer:
X = 4402/51 = 86.31
Step-by-step explanation:
Answers
1) 63/3 = 21
2) 16-9 = 7
3) 9+9*0= 9+(9*0)= 9+0= 9
4) 12*6= 72
I hope that's help and if you have questions please ask !
A. 15 + 2i
B. -5 + 8i
C. -5 + 2i
D. 15 + 8i
Answers
Answer:
A
Step-by-step explanation:
Remember to combine like terms, aka whichever number has the same variable (or no variable), those are the ones that go together. 5 + 10 is 15. -3i + 5i is the same as 5i -3i, which is 2i.
Answer:
A. 15 + 2i
Step-by-step explanation:
(5 - 3i) + (10 + 5i)
5 - 3i + 10 + 5i
5 + 10 - 3i + 5i
15 + 2i
hope it helps!
B. 60 inches to 76 inches
C. 64 inches to 72 inches
D. 52 inches to 84 inches
Answers
If the mean height of the population is 68 inches and the standard deviation is 4 inches, 99.7% of the population will have a height within ranges of; 52 inches to 84 inches.
What do you mean by standard deviation?
In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
We know that at 99.7% the measurements would be within 2 standard deviations of the mean.
Mean of 68 inches
Standard Deviation of 4
The lower range = 68– 4(4)= 52 inches
The upper range = 68+ 4(4) = 84 inches
Thus, the option (D) 52 inches to 84 inches is correct after using the empirical Rule.
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==>h=3*4=12
[68-12, 68+12] is the interval
Answer A