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creativ13 [48]
4 years ago
9

Find all values of m so that the function

Mathematics
1 answer:
Ratling [72]4 years ago
5 0
First, solve the differential equation by integrating it:

y' + 3y = 0
dy/dx + 3y = 0
dy/dx = -3y
dy = -3ydx
-∫dy/3y = ∫dx
-(1/3)lny = x
e^(lny) = e^(-3x)
y = e^(-3x)

Therefore, that means that the m is equal to -3.
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What is factor form x^2-10x+25 show work
iogann1982 [59]

This trinomial is in a special form that can

be factored as the product of two binomials.

<h2>x² - 10x + 25</h2><h2 />

The first term in each binomial will be a factor of the x² term.

Since x² is just x · x, we use those as our first factors.

To factor this trinomial, we need factors of our constant that

add to the coefficient of the middle term in our trinomial.

So we're looking for factors of 25 that add to -10.

When your constant is positive and your middle term is negative,

you are going to use the negative factors of your constant term.

So the two numbers hat multiply to gives

us 25 and add to -10 are -5 and -5.

So our answer is (x - 5)(x - 5).

5 0
3 years ago
To make 3 dozen cookies, a recipe calls for 4 eggs and 1/2 cup of chocolate chips. Ben wants to make 12 dozen cookies for a clas
Dima020 [189]
First problem
The recipe is written for 3 dozen cookies.
Hew wants to make 12 dozen cookies.
12 dozen is 4 times 3 dozen, so multiply each amount by 4 to make 12 dozen cookies.

4 eggs * 4 = 16 eggs
1/2 cup chocolate chips * 4 = 2 cups chocolate chips

Second problem
Let's start from the end.

There were 40 apples left on the tree.
Sally picked 1/3 of the apples that were left for her.
40 apples were left after Sally finished.
Since Sally picked 1/3 of the apples, she left 2/3 of the apples on the tree.
2/3 of the apples were 40 apples. 1/3 is 20 apples, so the number of apples left for Sally is 60 apples. Before Sally started, there were 60 apples.

Bill had picked 1/2 the apples, which means he left half of them. He left 60. That means to original number was 120 apples.

Answer: 120 apples.
7 0
3 years ago
Read 2 more answers
Simplify the equation
Aleksandr [31]

Answer:

-2x/7-x

Step-by-step explanation:

(4x-42)/7-x + 6/1 (7-x)=(4x-42+42-6x)/7-x=-2x/7-x


5 0
3 years ago
The next day, Kiran read for x minutes, and Andre read for 1/10 less than that. Write an equation that relates the number of min
zzz [600]

Answer:

y - 1/10 = x

Step-by-step explanation:

y = # minutes read Kiran

x = # minutes read Andre

8 0
3 years ago
Write an equation of a line that is parallel to the line y<br> 4x +3
maxonik [38]

Answer:

y=4x+4

Step-by-step explanation:

There are infinite answers

All you have to do is changed the last number 3, to any real number greater or less than 3

4 0
3 years ago
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