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stellarik [79]
3 years ago
5

Which of the following expressions is equal to tan245°?

Mathematics
1 answer:
givi [52]3 years ago
4 0

Answer:

tan65°

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
When Rachel puts gas in her car, she records the distance that she has driven since her last
Free_Kalibri [48]

g=0.04 times d

Step-by-step explanation:

if you multiply 0.04 with every number under the d column then you’ll get the outcome of each number under g

6 0
3 years ago
Find the values of x and y.
Papessa [141]

Step-by-step explanation:

x=20

y=100

solution in image

6 0
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Victor has a bag of dimes and quarters. He has a total of 36 coins worth $5.40.
nata0808 [166]

Answer:

{x+y=36

0.1x+0.25y=5.4

Step-by-step explanation:

just took the test sorry for being late

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3 years ago
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The slopes of perpendicular lines are _______ reciprocals.
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The negative reciprical


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