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2 years ago

Find the general solution of the differential equation y'(t)=7y-6

Mathematics

1 answer:

ch4aika [34]2 years ago

8 0

Consider this option.

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How do I solve this math problem?

Nat2105 [25]

Answer: 4x² + 4x - 2 - $\frac{3}{2x+3}$

Step-by-step explanation:

You can use either synthetic or long division. I am using synthetic division:

2x + 3 = 0 ⇒ x = $-\frac{3}{2}$

$-\frac{3}{2}$ | 4 10 4 -6

| ↓ -6 -6 3

4 4 -2 -3 ← -3 is the remainder

↓ ↓ ↓

4x² +4x -2 ← factored polynomial

3 0

3 years ago

Julie and Jenna are selling bracelets that they made at a craft store. They are hoping to sell 200 bracelets. If Julie can make

raketka [301]

10 since 12+8 is 20 and thats daily 200/20=10

4 0

2 years ago

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Find the product. 2a2(5b2+3ab+6a+1) PLEASE HELP!!!! ASAP!!!

Anon25 [30]

Answer:

$10a^{2} b^{2} +6a^{3} b+12a^{3} +2a^{2}$

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Sung is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.

Alexus [3.1K]

Answer:

Step-by-step explanation:

Use the equation

89 < 75 + 0.7*M Subtract 75 from both sides

89 - 75 < 0.7M Combine

14 < 0.7 M Divide both sides by 0.7

14/0.7 < M

20 < M

If M goes over 20 then the flat rate is cheaper.

8 0

2 years ago

The United States is about the only country that still uses the units feet, miles, and gallons. However, you might see some car

Black_prince [1.1K]

Answer: $4.5 \text{ miles per gallon}$

Step-by-step explanation:

Given : The fuel efficiency of car = 7.6 km per kilogram

We also given that

1 mile = 1.609 km

Then, $\text{1 km}=\dfrac{1}{0.609}\text{ mile}$

1 gallon = 3.785 liters

$\text{1 liter}=\dfrac{1}{3.785}\text{ gallon}$

1 liter of gasoline = 0.729 kg

Then, $\text{1 kg}=\dfrac{1}{0.729}\text{ liter}$

$\Rightarrow\ \text{1 kg}=\dfrac{1}{0.729}\times\dfrac{1}{3.785}\text{gallon}$

Now, the fuel efficiency of car will be :

$7.6\times\dfrac{1}{0.729}\times\dfrac{1}{3.785}\times\dfrac{1}{0.609}\\\\=4.52275317827\approx4.5 \text{ miles per gallon}$

Hence, the car’s fuel efficiency in miles per gallon= 4.5

3 0

2 years ago