Your answer should be, 3x= 22y to the tenth power...
Answer:
Two solutions
Step-by-step explanation:
The number of points of intersections represents the number of solutions to the system of equations. Since the parabola intersects the circle at two points, there are two solutions to the circle.
Furthermore, these two points of intersection are exactly the solutions to the system of equations. Finding the coordinates of the points of intersection will give you the solutions to the system of equations.
Answer:
The process of calculating successive discounts of 8% and 10% on a $50 item is take 10% of $46.
Step-by-step explanation:
As given
successive discounts of 8% and 10% on a $50 item .
First find out for 8 % discount
8% is written in the decimal form
= 0.08
8 % of $50 item = 0.08 × 50
= $ 4
Price of item after 8% discount = 50 - 4
= $46
First find out for 10 % discount
10% is written in the decimal form
= 0.1
8 % of $48 item = 0.1× 46
= $4.6
Price of item after 8% discount = 46 - 4.6
= $41.4
Therefore in the successive discounts of 8% and 10% on a $50 item is $41.4 .
Answer:
To multiply fractions, first we simplify the fractions if they are not in lowest terms. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator.
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Answer:
11) Here given Function,
![f(x) = \sqrt{2x-11}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%7B2x-11%7D)
And, ![g(x) = -|0.1|x+5](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-%7C0.1%7Cx%2B5)
For f(x) = g(x)
![\sqrt{2x-11}=-|0.1|x+5](https://tex.z-dn.net/?f=%5Csqrt%7B2x-11%7D%3D-%7C0.1%7Cx%2B5)
![2x-11=(-|0.1|x+5)^2](https://tex.z-dn.net/?f=2x-11%3D%28-%7C0.1%7Cx%2B5%29%5E2)
![2x-11=0.01x^2 - 10|0.1|x+25](https://tex.z-dn.net/?f=2x-11%3D0.01x%5E2%20-%2010%7C0.1%7Cx%2B25)
![2x=0.01x^2 - 10|0.1|x+25+11](https://tex.z-dn.net/?f=2x%3D0.01x%5E2%20-%2010%7C0.1%7Cx%2B25%2B11)
![2x=0.01x^2 - 10|0.1|x+36](https://tex.z-dn.net/?f=2x%3D0.01x%5E2%20-%2010%7C0.1%7Cx%2B36)
![0.01x^2 - 10|0.1|x - 2x+36=0](https://tex.z-dn.net/?f=0.01x%5E2%20-%2010%7C0.1%7Cx%20-%202x%2B36%3D0)
When we solve this equation,
We found,
x = 12.5227 ≈ 12.53
Thus, the required solution is, x = 12.53
12) Here the height of rocket A in x second,
![f(x) = -16x^2+74x+9](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-16x%5E2%2B74x%2B9)
And, The height gain by the rocket B in x seconds,
![g(x) = -16x^2+82x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-16x%5E2%2B82x)
If at x seconds both A and B gain the same height,
That is, f(x) = g(x)
⇒ ![-16x^2+74x+9= -16x^2+82x](https://tex.z-dn.net/?f=-16x%5E2%2B74x%2B9%3D%20-16x%5E2%2B82x)
⇒![74x + 9 = 82x](https://tex.z-dn.net/?f=74x%20%2B%209%20%3D%2082x)
⇒ ![82x - 74x = 9](https://tex.z-dn.net/?f=82x%20-%2074x%20%3D%209)
⇒ ![8x = 9](https://tex.z-dn.net/?f=8x%20%3D%209)
⇒ x = 1.125 ≈ 1.13
Thus, the required solution is x = 1.13 seconds (approx)