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valina [46]
3 years ago
8

Find a general solution to the differential equation â6yâ²=1+x+y+xy by solving the equation and then applying the initial condit

ion y(â4)=C.
Mathematics
1 answer:
skad [1K]3 years ago
7 0

Answer:

4

Step-by-step explanation:

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Can someone help me with this question please :( !
Natalija [7]

Answer:

D. y = 2x + 1

Step-by-step explanation:

To find the slope, you first have to find the change of y over x, and in this case, you can plainly see that each one is equal to 2. So, that means that the slope is 2. You then can use the slope to find y when x is equal to 0. In this case, y = 1 when x = 0, so that means that the y-intercept is 1. Hence, the final answer is D.

<h2><u><em>Please mark as Brainliest!!!</em></u></h2>
8 0
2 years ago
Which transformations have been performed on the graph of f(x) =<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D" id="Tex
Nookie1986 [14]

Answer:

(B) compress the graph closer to the x-axis

(E) translate the graph to the left

(F) translate the graph up

Step-by-step explanation:

When functions are transformed there are a few simple rules:

  • Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
  • Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
  • Multiplying the function by a number less than 1 compresses it towards the x-axis.
  • Multiplying the function by a number greater than 1 stretches it away from the x-axis.

This graph has been multiplied by 1/4 which is less than 1. It will be compressed.

This graph has x added to by 3. It will shift left 3 units.

This graph has the output outside of x added to by 6. It will shift 6 units up. See picture below. The original function is red. The new function is blue.



8 0
3 years ago
HELP!!! I WILL MARK BRAINLIEST!
Arturiano [62]
X>32 is the answer.
7 0
3 years ago
David is making his own strawberry yogurt. In his mixture, the number of strawberries is proportional to the amount of milk in c
ratelena [41]
To determine the amount of milk that David should be adding, we need to generate and expression that would relate the number of strawberries and the number of cups. From the problem statement, it is said that the number of strawberries is directly proportional to the number of cups of milk. We write it as:

X α Y        where X represents the number of strawberries and Y represents the number of cups of milk

To get rid of the proportionality sign, we introduce a proportionality constant k. We calculate this by using the initial conditions given.

X = kY

at X = 14 strawberries Y = <span>2 1/2 cups of milk = 5/2 cups
14 = k(5/2)
k = 28/5

At X = 203

X = kY
203 = 28/5 (Y)
Y = 145/4  or 36 1/4 cups of milk needed</span>
5 0
3 years ago
The average credit card debt for college seniors is $22,199 with a standard deviation of $5300. What is the probability that a s
noname [10]

Answer:

Step-by-step explanation:

The number of samples is large(greater than or equal to 30). According to the central limit theorem, as the sample size increases, the distribution tends towards normal. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 22199

σ = 5300

n = 30

the probability that a senior owes a mean of more than $20,200 is expressed as

P(x > 20200)

Where x is a random variable representing the average credit card debt for college seniors.

For n = 30,

z = (20200 - 22199)/(5300/√30) =

- 2.07

Looking at the normal distribution table, the probability corresponding to the z score is 0.0197

P(x > 20200) = 0.0197

3 0
3 years ago
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