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3 years ago

Is it possible for a system to have more than one solution? Explain your answer

Mathematics

1 answer:

DochEvi [55]3 years ago

5 0

Sure... a good example of that is when you have non-linear expressions in the system, like say for example a linear and a quadratic, like y = 4x and y = x².

recall that for a system of equations, where the graph of both equations intersect, is the solutions, check the picture below.

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Find the particular solution of the differential equation that satisfies the initial condition f'(x) 4x, f(0) = 5 f(x) =

malfutka [58]

Answer: $f(x)=2x^2+5$

Step-by-step explanation:

First integrate f'(x) so we can find the funtion f(x):

$4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)$

The initial conditions say that when x = 0, the function equals 5. Let's write that down:

$f(0)=5=2(0^2)+C=C$

Therefore, the integration constant 'C' must equal 5. This means that our function is:

$f(x)=2x^2+5$

6 0

1 year ago

-8 ( r + 6 ) = 7 ( r + 6 ) <br> solve the equation

tangare [24]

r=-6

You have to use distributive property and multiply parentheses

5 0

2 years ago

Leslie ran 4 1/2 laps around the park in 3/4 hour. Kayla ran 3 1/2 laps around the same park in the same amount of time. How man

Arte-miy333 [17]

Leslie:
h= hours
3/4h=4 1/2 laps
divide both sides by 3/4 or .75
1 hour = 6 laps
Kayla:
3/4h= 3 1/2 laps
divide both sides by 3/4
1 hour = 4 2/3 laps
Leslie can do C
1_ 1/3 more laps in an hour than Kayla

5 0

3 years ago

Pleaseeeee answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Lelu [443]

Answer:

45 miles

Step-by-step explanation:

Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula $a^{2} +b^{2} =c^{2}$ . Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So $c^{2}$ = 2025. Find the square root of 2025. $\sqrt{2025}$ = 45. Hope this helped ^^

4 0

2 years ago

X+5/-2=x-10/7<br><br> What does x=

topjm [15]

X= 1 x+5/2=1 which is x .10/2

6 0

2 years ago

Read 2 more answers