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S_A_V [24]
3 years ago
12

Determine the rate of change of the following coordinates

Mathematics
1 answer:
OleMash [197]3 years ago
4 0

Answer:

-4

Step-by-step explanation:

 

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Help me out please.<br><br> i need to find the function rule,
Ksivusya [100]

Replace x in the equations and see which one gets the matching y :

-5(0) = 0 +1 = 1

-5(1) = -5 + 1 = -4

-5(-1) = 5 +6 = 6

The first equation works.

7 0
3 years ago
An online store sells only two types of bandanas: cotton bandanas and silk bandanas. Cotton bandanas cost $7 each, and silk band
qwelly [4]

Given :

An online store sells only two types of bandanas: cotton bandanas and silk bandanas. Cotton bandanas cost $7 each, and silk bandanas cost $11 each.

Mrs. Tran spent a total of $93 on bandanas at this store.

To Find :

How many cotton bandanas did Mrs. Tran buy.

Solution :

Let, number of cotton and silk bandanas buys are x and y respectively.

So, 7x + 11y = 93

x = (93 - 11y)/ 7

Putting y = 1 , x = 82/7 ( not possible since x can only be positive integer )

Putting y = 4 , x = 7

Therefore, Mrs . Tran will buy 7 cotton bandanas.

Hence, this is the required solution.

8 0
2 years ago
What is the range of the function?<br> A. (-1,3,5)<br> B. (2,6,8,3,5)<br> C. {3}<br> D. (2,6,8)
Roman55 [17]

Answer:

I think the answer is D. (2,6,8) because if the ones on the right are y - coordinates in the Function then it should be correct. If not sorry

(Range is y - coordinate)

(Domain is x - coordinate)

7 0
3 years ago
(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13
jolli1 [7]

Answer:

y(x)=3e^{5x}-2xe^{5x}

Step-by-step explanation:

The given differential equation is y''-10y'+25y=0

The characteristics equation is given by

r^2-10r+25=0

Finding the values of r

r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5

We got a repeated roots. Hence, the solution of the differential equation is given by

y(x)=c_1e^{5x}+c_2xe^{5x}...(i)

On differentiating, we get

y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)

Apply the initial condition y (0)= 3 in equation (i)

3=c_1e^{0}+0\\\\c_1=3

Now, apply the initial condition y' (0)= 13 in equation (ii)

13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2

Therefore, the solution of the differential equation is

y(x)=3e^{5x}-2xe^{5x}

5 0
3 years ago
Simplify the quotient (4.5 x 10^3)/(9 x 10^7 ). Write your answer in scientific notation. Show your work.
marishachu [46]
To answer the problem above, divide the numerical portion and the exponential portion of the given numbers. 4.5 divided by 9 is 0.5. Furthermore, 10^3 divided by 10^7 is 10^-4. The answer is 
                    
                                            0.5 x 10^-4

This may still be written in a standard form,
 
                                               5 x 10^-5

Thus, the answer is <em>5 x 10^-5</em>. 
                                    
5 0
3 years ago
Read 2 more answers
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