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vazorg [7]
3 years ago
11

Really stuck here!! Which of the following equations has no real solutions?

Mathematics
1 answer:
borishaifa [10]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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Is​ f(x) continuous at x equals 4​? Why or why​ not? A. ​No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit
soldier1979 [14.2K]

<u>Corrected Question</u>

Is the function given by:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right ​

continuous at x=4​? Why or why​ not? Choose the correct answer below.

Answer:

(D) ​Yes, f(x) is continuous at x = 4 because Lim_{x \to 4}f(x)=f(4)

Step-by-step explanation:

Given the function:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right

A function to be continuous  at some value c in its domain if the following condition holds:

  • f(c) exists and is defined.
  • Lim_{x \to c}$ f(x) exists.
  • f(c)=Lim_{x \to c}$ f(x)

At x=4

  • f(4)=\dfrac{1}{4}*4+1=2
  • Lim_{x \to 4}f(x)=2

Therefore: Lim_{x \to 4}f(x)=f(4)=2

By the above, the function satisfies the condition for continuity.

The correct option is D.

3 0
3 years ago
Nina's car exponentially depreciates at a rate of 7% per year. If Nina bought the car when it was six year old for $12,000 what
Maksim231197 [3]
<span>$18,547.42, hope it works!

</span>
7 0
3 years ago
Find the commission on a sale of $8,432 at 12 % commission.
UkoKoshka [18]

Answer: I think the answer is 1011.84. Hope this helps. Can you give me brainliest

Step-by-step explanation:

5 0
2 years ago
Substitution for {2x-3y=11 and -x + 2y = -6
Svetradugi [14.3K]

Step-by-step explanation:

-x+2y=-6

x-2y=6

x=2y+6

substitute in 2x-3y=11 gives us 2(2y+6)-3y=11

4y+12-3y=11

y=-1

-x+2(-1)=-6

-x=-4

x=4

7 0
3 years ago
What is the answer? Please tell me! I am in a hurry...
Nikitich [7]
I think it would be C
6 0
3 years ago
Read 2 more answers
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