A plane flies x mph. How far can it go in y hours?

Let f (x) = 3x − 1 and ε > 0. Find a δ > 0 such that 0 < ∣x − 5∣ < δ implies ∣f (x) − 14∣ < ε. (Find the largest

s344n2d4d5 [400]

Answer:

This proves that f is continous at x=5.

Step-by-step explanation:

Taking f(x) = 3x-1 and $\varepsilon>0$ , we want to find a $\delta$ such that $|f(x)-14|$

At first, we will assume that this delta exists and we will try to figure out its value.

Suppose that $|x-5|$ . Then

$|f(x)-14| = |3x-1-14| = |3x-15|=|3(x-5)| = 3|x-5|< 3\delta$ .

Then, if $|x-5|$ , then $|f(x)-14|$ . So, in this case, if $3\delta \leq \varepsilon$ we get that $|f(x)-14|$ . The maximum value of delta is $\frac{\varepsilon}{3}$ .

By definition, this procedure proves that $\lim_{x\to 5}f(x) = 14$ . Note that f(5)=14, so this proves that f is continous at x=5.

3 0

3 years ago

Find y. Round to the nearest tenth: у 270 350 ft y = [? ]ft

Hunter-Best [27]

Answer:

y=620 lemme know if this helped by pressing thanks :)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the number of sides of a regular polygon if the sum of its interior angle is 1440

scoundrel [369]

The formula is 180(n-2)= 1140 then you divide 1140 by 180 to get 8 so then it would like like n-2=8 add the 2 over and n (being the number of sides)= 10 so your answer will be 10

8 0

3 years ago

4x = 3/8

miss Akunina [59]

Answer:

4x=3/8

8×4x=3

32x=3

x=3/32. Ansss...

6 0

3 years ago

Maria and Katy have string Maria's is 6 cm longer that Katy's. When they put both of the strings together the total is 84 How lo

butalik [34]

Answer:

Maria's string is 45 cm long and Katy's string is 39 cm long

Step-by-step explanation:

Let's call the size of Maria's string X, and the size of Katy's string Y.

So, using the information from the problem, we can formulate a system of equations:

If Maria's string is 6 cm longer than Katy's, so:

X = Y + 6

If the strings together have 84 cm, so:

X + Y = 84

The first equation can be rewritten as X - Y = 6

Summing up both equation, we have that:

2X = 90

X = 45

Using X value in the first equation, we have that:

45 = Y + 6

Y = 39

So, Maria's string is 45 cm long and Katy's string is 39 cm long

7 0

3 years ago