3 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

4 0

Answer:

k = 3

Step-by-step explanation:

If (p-1) is a factor of (p^4 + p^2 + p-k) then when we divide

(p^4 + p^2 + p-k) by (p-1) THE REMAINDER MUST BE 0

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Given that lim x→1 (5x − 3) = 2, illustrate definition 2 by finding values of δ that correspond to ε = 0.1, ε = 0.05, and ε = 0.

kow [346]

$\displaystyle\lim_{x\to1}(5x-3)=2$

is to say that for any $\varepsilon>0$ , we can find $\delta>0$ such that $0$ implies $|(5x-3)-2|$ .

To that end, we have

$|(5x-3)-2|=|5x-5|=5|x-1|$

which means that if $\varepsilon=0.1$ is given, then we can choose $\delta=\dfrac{0.1}5=0.02$ ; if $\varepsilon=0.05$ , then $\delta=\dfrac{0.05}5=0.01$ ; if $\varepsilon=0.01$ , then $\delta=\dfrac{0.01}5=0.002$ .

5 0

4 years ago

If you can, give the explanation. I'm finding these very difficult.

Goryan [66]

Answer:

Gustavo

Step-by-step explanation:

if anything this looks like 38-19n, if the first term is n=1.

But as that isn't an option, gustavo should be correct, as his sequence would go down by 19 each time (yuki's would go up by 19 each time, not down like the sequence shows)

3 0

3 years ago

Donald's car gets about 30 miles per gallon. About how many miles can Donald drive on 9.2 gallons of gas? At $3.15 a gallon, abo

NNADVOKAT [17]

30x9.2= 276 miles
9.2x3.15=$28.98
So the car can drive 276 miles if you put $28.98 of gas in it.

6 0

3 years ago

Read 2 more answers

Ken spent half of his money. The next day he earned $12. He now has $32. Which equation represents the situation?

AlexFokin [52]

I think the answer is 40

3 0