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marta [7]
4 years ago
9

Can u help me plz thanks

Mathematics
1 answer:
Mrrafil [7]4 years ago
4 0
1. x = -4 ; f(x) = -(-4) = 4
2. x = -3 ; f(x) = 2(-3) + 1 = -5
3. x = 0 ; f(x) = 2(0) + 1 = 1
4. x = 2 ; f(x) = 2 + 3 = 5
5. x = 5 ; f(x) = 5 + 3 = 8
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Find the general solution of (x+3)y’=2y
gregori [183]

Answer:

y=C(x+3)^2

Step-by-step explanation:

We are given:

\displaystyle (x+3)y^\prime=2y

Separation of Variables:

\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}

So:

\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx

Integrate:

\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx

Integrate:

\displaystyle \ln|y|=2\ln|x+3|+C

Raise both sides to e:

|y|=e^{2\ln|x+3|+C}

Simplify:

|y|=(e^{\ln|x+3|})^2\cdot e^C

So:

|y|=C|x+3|^2

Simplify:

y=\pm C(x+3)^2=C(x+3)^2

5 0
3 years ago
Find the vertex of an angle of an isosceles triangle if one base angle is 8 less than half the vertex?
skad [1K]
Vertex angle = x
1 base angle = 1/2x - 8

180-x = (1/2x-8)x2
180-x = x-16
196-x = x
196 = 2x
x=98

If you want explanation please ask me .
8 0
3 years ago
In circle C with m \angle BCD= 46m∠BCD=46 and BC=3BC=3 units, find the length of arc BD. Round to the nearest hundredth.
jolli1 [7]

The length of arc of the given circle, to the nearest hundreth, is: 2.41 units.

<h3>What is the Length of an Arc?</h3>

Length of arc = ∅/360 × 2πr, where the radius of the circle is r, and the reference angle is ∅.

We are given the following:

Radius (r) = 3 units

Reference angle (∅) = 46°

Plug in the values into the length of arc formula:

Length of arc = 46/360 × 2π(3)

Length of arc = 2.41 units.

Therefore, the length of arc of the given circle, to the nearest hundreth, is: 2.41 units.

Learn more about length of arc on:

brainly.com/question/2005046

4 0
2 years ago
What does x equal? 3(x-7)=138+3x
Arturiano [62]
3(x-7) = 138 + 3x      First multiply
3x-21 = 138 + 3x      subtract 3x from both sides 
-21 = 138            

This is a false statement because -21 does not equal to 138 so the answer is no solution.

Hope this helps! Please give me the brainliest answer if you like it! If you have further questions, please leave a comment or add me as a friend!
7 0
4 years ago
Jeff has some coins so he can put in 6 bags or 9 bags with no coins left but if put in 5 bags 2 coins left. So at least how many
sertanlavr [38]

Answer:

72

Step-by-step explanation:

Jeff can divide the coin evenly in 6 or 9 bags, so the number of coin should have 9 and 6 as the factor. The lowest common factor for 6 and 9 will be:

6= 2 x 3

9= 3^2

LCF= 2 x 3^2= 18

From here you need to find the common multiple of 18 that will have 2 remainder after divided by 5. When 18( divided by 5, it will left 3 as remainder.

Multiple of 3 that give 2 remainder after divided by 5 will be 3x4= 12. Then least coin Jeff should have will be: 4x18= 72

7 0
3 years ago
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