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Nuetrik [128]
2 years ago
15

Which function is both continuous and differentiable for all x? I'm conflicted between A and D.

Mathematics
2 answers:
Vikki [24]2 years ago
8 0

Answer: A is the correct answer

Step-by-step explanation: D has a removable discontinuity at x =-3 and is not continuous.

damaskus [11]2 years ago
4 0

Answer:

A

Step-by-step explanation:

A is continuous:

x = 2

2³ = 8

4[3(2) - 4] = 8

D is undefined at x = -3

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You test 8 automobiles of the same make and model and find their mileage ratings to be 25, 25, 26, 27, 30, 31, 32, and 1,000,000
Rina8888 [55]
 28 mpg is the average so that is what they should expect. 

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3 years ago
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JUST ANSWER PLEASE!!! QUICK
jeka57 [31]

Answer:

<u>Options 1 and 3</u>

Step-by-step explanation:

We should know that, the system of linear equations can be treated as matrices, i.e: we can modify or make any operations provide that we must apply the same operation for all terms of each equation.

Given:  the solution for the following system is (2,9)

Px + Qy = R  ⇒(1)

Tx + Uy = V  ⇒(2)

We will check which system of equation has the same solution.

<u>System A)</u>  Px + Qy = R

                  (P+T)x + (Q+U)y = R+V  ⇒(3)

So, By summing (1) and (2) we will get the equation (3)

So, system A has the same solution (2,9)

<u>System B)</u> Px + Qy = R

                 (P+2T)x + (Q+2U)y = R-2V  ⇒(4)

By multiplying equation (2) by 2 and add with equation (1), we will get:

 (P+2T)x + (Q+2U)y = R+2V

Which is not the same as equation (4)

So, system B has not the same solution (2,9)

<u>System C)</u> (T-P)x + (U-Q)y = V-R  ⇒(5)

                  Tx + Uy = V  

By multiplying equation (1) by -1 and add with equation (2), we will get the equation (5)

So, system C has the same solution of (2,9)

<u>System D)</u> (T-P)x + (Q+U)y = V-R  ⇒(6)

                  Tx + Uy = V  

We cannot get equation (6) by the same operation over equation (1)

Note the coefficient of x and y⇒ (T-P) and (Q+U)

They must be (T+P) and (Q+U) <u>OR </u>(T-P) and (Q-U)

So, system D has not the same solution of (2,9)

<u>System E)</u> (5T-P)x + (5U-Q)y = V-5R ⇒ (6)

                  Tx + Uy = V  

By subtract equation (1) from 5 times equation (2), we will get:

(5T-P)x + (5U-Q)y = 5V-R

Which is not the same as equation (6)

So, system E has not the same solution (2,9)

As a conclusion, the systems which have the same solution are:

<u>Options 1 and 3</u>

5 0
2 years ago
PLEASE HELP ASAP 20 POINTS!!!!!!
tankabanditka [31]
Number 1.
Subtracting Negative Is The Same As Adding.
<span>So, It Would Be Equivalent  To A
</span>Number 2:
Subtracting From A Negative Is Making The Negative Number Larger.
<span>So, It Would Be A
</span>Number 3:
<span>Positive Plus Positive Makes Larger Positive:
37 + 13 = 50</span>.
<span>So, 3 Is D.
Number 4:
</span>Adding Negative Is Making Positive Numbers Smaller.
So, It Is C.
Number 5:
This Is C, Because -30 + 30 = 0 + 1 = 1 
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Answer:

6 words per minute.

Step-by-step explanation:

48 divided by 8 is 6 .

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3 years ago
A pencil is 7 1/2 inches long. How long is the pencil in centimeters?
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The pencil is 19.05 centimeters.
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1 year ago
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