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3 years ago

78 = -2 (m + 3) + m Solve for m

Mathematics

2 answers:

Cerrena [4.2K]3 years ago

5 0

Answer:

-37.5

Step-by-step explanation:

Vedmedyk [2.9K]3 years ago

4 0

Answer:

Step-by-step explanation:

78 = -2 (m + 3) + m

Opening bracket

78 = -2m - 6 + m

Collecting like terms

78 + 6 = -m

-m = 84

m = -84

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Initial value problems dy/dx+2y=3. Y(0)=1

Pavel [41]

The initial value equation is $y = \frac 12(3 - e^{-2x})$

<h3>How to solve the initial value?</h3>

The equation is given as:

$\frac{dy}{dx} +2y = 3$

Where

Y(0) = 1

Subtract 2y from both sides in the equation

$\frac{dy}{dx} = -2y + 3$

Rewrite as:

$\frac{dy}{-2y + 3} = dx$

Integrate both sides of the equation

$-\frac 12\ln|-2y + 3| = x + C_o$

Multiply through by -2

$\ln|-2y + 3| = -2x + C_1$

Take the exponent of both sides

$-2y + 3 = Ce^{-2x$

Next, we solve for C under the initial condition Y(0) = 1.

This gives

$-2(1) + 3 = Ce^{-2 * 0$

Evaluate

-2 + 3 = C

Solve for C

C = 1

Substitute C = 1 in $-2y + 3 = Ce^{-2x$

$-2y + 3 = e^{-2x$

Next, we solve for y

$y = \frac 12(3 - e^{-2x})$

Hence, the initial value equation is $y = \frac 12(3 - e^{-2x})$

Read more about initial value at:

brainly.com/question/16945606

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3 0

1 year ago

I need to know answer to my math question

levacccp [35]

I don't see the question . What is the question

3 0

3 years ago

A soccer player stands in the south east corner of a 72 yard x 65 yard field and kick the soccer ball All the way to a player in

lubasha [3.4K]

Answer:

Using the Pythagorean Theorem:

distance^2 = 72^2 + 65^2

distance^2 = 5,184 + 4,225

distance^2 = 9,409

distance = 97 yards

"round-trip" distance = 97 * 2 = 194 yards

Step-by-step explanation:

4 0

3 years ago

What type of roots will you have if the discriminant is: 36

Paul [167]

Answer:

2 real roots

Step-by-step explanation:

If the discriminant is any positive number, that means the quadratic will have 2 real roots, or solutions.

Since the discriminant, 36, is a positive number, this will apply.

So, if the discriminant is 36, there will be 2 real roots.

4 0

3 years ago

Read 2 more answers

HELP I NEED THIS DONE QUICKK CAN ANNYONE HELP???????????????????????????????????????????????????????????????????????????????????

natulia [17]

For the first question, it would be D: $\frac{1}{3}$ ÷ 9. This is because to solve a division problem with fractions, you would need to multiply the first fraction by the reciprocal of the second fraction. For the second question, the answer would be D: 32. This can be solved by dividing 8 by $\frac{1}{4}$ or 0.25. For the third question, it would be D. $\frac{1}{12}$ . This can be solved by dividing $\frac{1}{4}$ by 3. For the fourth question, the answer would be $\frac{1}{12}$ . This can be found by flipping the 4, which would make it look like $\frac{1}{4}$ , and multiplying it by $\frac{1}{3}$ . For the last question, 1 would be B, 2 would be C, 3 would be C, and 4 would be A.

Hope this helps ^-^

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3 years ago