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natima [27]
2 years ago
7

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

Mathematics
1 answer:
malfutka [58]2 years ago
6 0

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

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zysi [14]
Change the x and y
Then solve for y
X= 8y+1
Subtract 1 from both sides
X-1=8y
Divide by 8
X-1 /8 = y
4 0
3 years ago
Picture of problem below NO LINKS
iragen [17]

Answer:

600$

Step-by-step explanation:

I think this is right

5 0
3 years ago
Explain your answer!! <br><br> Will give brainlst
Novosadov [1.4K]
• So we know that.....

x represent bags of snack and y is bottles of water.


This equations shows the total amount and the cost of each water bottle and snack:

20.00 = 2.50x + 1.00y

Total: $20.00
Snack: $2.50
Water Bottle: $1.00


And this question shows the total items:

11 = x + y

Which there will be some snack + some water bottle = 11 items


—————————————————————

• Now I’m going to first solve for x, which is the amount of bags of snack.

I will use the equation, 11 = x + y.

(First, we’ll subtract y from both side, since we’re solving for x [UNDO])

11 = x + y
-y = - y
_______
11 - y = x —> so x is equal to 11 minus y.


—————————————————————

• Now we’re going to plug the 11 - y as x in the equation: 20.00 = 2.50x + 1.00y to solve for y.

20.00 = 2.50 (11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y (Distributed)

20.00 = 27.5 - 1.50y (Combine like terms)

20.00 = 27.5 - 1.50y
-27.5 = -27.5 (Subtract -27.5 both side)
——————————
-7.5 = - 1.50y


-7.5 = -1.50y
—— ——— (Divide both side by -1.50)
- 1.50 = -1.50

5 = y

y is equals to 5, which means that there are 5 water bottles.


Now we know there are 11 items total and because there are 5 water bottles, there will be 6 bags of snacks. 11-5=6

—————————————————————

ANSWER:

They bought 6 bags of snacks! :)
4 0
3 years ago
Choose the equation of the line that contains the points (1,-1) and (2,2)
natka813 [3]
(1,-1)(2,2)
slope = (2 - (-1) / (2 - 1) = 3/1 = 3

y = mx + b
slope(m) = 3
use either of ur points...(2,2)...x = 2 and y = 2
now we sub and find b, the y int
2 = 3(2) + b
2 = 6 + b
2 - 6 = b
-4 = b

so ur equation is : y = 3x - 4
7 0
3 years ago
I NEED HELP PLEASE!!
prohojiy [21]
60% decimal = .6 fraction= 6/10
3/4 percent =75% (think of $$) decimal =.75
0.23 percent =23% fraction= 23/100
1/8 percent= 12.5 decimal = 0.125
18% decimal= .18 fraction= 18/100 (simplified to 9/50)
2/3 percent=0.6% repeating (so put a line over 6) decimal= 0.6 repeating aswell so do the same as last
Your welcome :)
5 0
3 years ago
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