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erastova [34]
3 years ago
8

Which of the following points is not on the graph of y=-1/2x^2-3x+7 ?

Mathematics
1 answer:
alexira [117]3 years ago
7 0

Answer:

a or b

Step-by-step explanation:

for sure but I hope this helps

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Determine the domain and range of the function f(x)= 3x+2. Also, state the intervals where the function f(x)= 3x+ 2 is increasin
aev [14]

Answer:

Increasing on it's domain (-\infty,\infty) because the slope is positive.

The domain and range are both all real numbers, also known as

(-\infty,\infty).

Step-by-step explanation:

All domain really means is what numbers can you plug in and you get number back from your function.

I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.

The domain is all real numbers.

In interval notation that is (-\infty,\infty).

Now the range is the set of numbers that get hit by y=3x+2.

Well y=3x+2 is a linear function that is increasing.  I know it is increasing because the slope is positive 3. I wrote out the positive part because that is the item you focus on in a linear equation to determine if is increasing or decreasing.

If slope is positive, then the line is increasing.

If slope is negative, then the line is decreasing.

So y=3x+2 hits all values of y because it is increasing forever.  The range is all real numbers. In interval notation that is (-\infty,\infty).

3 0
3 years ago
Which of the following represents a geometric sequence?
Leto [7]
The answer is A

1/4, 1/4, 1/4, 1,4...
6 0
3 years ago
What is 7 plus the sum of m and -17​
olasank [31]

Answer:

m - 10

Step-by-step explanation:

7 plus = 7 +

The sum of m and -17 = m + (-17)

7 + (m + -17)

We can get rid of the parentheses

7 + m + -17

Combine like terms

7 + -17 = -10

m + -10

Get rid of the addition sign

m - 10

6 0
3 years ago
Find the solution of the given initial value problem:<br><br> y''- y = 0, y(0) = 2, y'(0) = -1/2
igor_vitrenko [27]

Answer:  The required solution of the given IVP is

y(x)=\dfrac{3}{4}e^x+\dfrac{5}{4}e^{-x}.

Step-by-step explanation:  We are given to find the solution of the following initial value problem :

y^{\prime\prime}-y=0,~~~y(0)=2,~~y^\prime(0)=-\dfrac{1}{2}.

Let y=e^{mx} be an auxiliary solution of the given differential equation.

Then, we have

y^\prime=me^{mx},~~~~~y^{\prime\prime}=m^2e^{mx}.

Substituting these values in the given differential equation, we have

m^2e^{mx}-e^{mx}=0\\\\\Rightarrow (m^2-1)e^{mx}=0\\\\\Rightarrow m^2-1=0~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mx}\neq0]\\\\\Rightarrow m^2=1\\\\\Rightarrow m=\pm1.

So, the general solution of the given equation is

y(x)=Ae^x+Be^{-x}, where A and B are constants.

This gives, after differentiating with respect to x that

y^\prime(x)=Ae^x-Be^{-x}.

The given conditions implies that

y(0)=2\\\\\Rightarrow A+B=2~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

and

y^\prime(0)=-\dfrac{1}{2}\\\\\\\Rightarrow A-B=-\dfrac{1}{2}~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Adding equations (i) and (ii), we get

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\dfrac{3}{4}+B=2\\\\\\\Rightarrow B=2-\dfrac{3}{4}\\\\\\\Rightarrow B=\dfrac{5}{4}.

Substituting the values of A and B in the general solution, we get

y(x)=\dfrac{3}{4}e^x+\dfrac{5}{4}e^{-x}.

Thus, the required solution of the given IVP is

y(x)=\dfrac{3}{4}e^x+\dfrac{5}{4}e^{-x}.

4 0
3 years ago
Write down, in details the outcomes of Ordinary Differential Equations and Special<br> Functions
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Answer:

an equation that involves some ordinary derivatives (as opposed to partial derivatives

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