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Sladkaya [172]
3 years ago
11

5. Simplify: a) ((-11) + (-5)] + [3+ (-1)

Mathematics
1 answer:
REY [17]3 years ago
7 0

Answer:

-14

Step-by-step explanation:

[(-11) + (-5)] + [3 + (-1)]

= (-11 - 5) + (3 - 1)

= (-16) + 2

=<u> -14 </u>

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Find lim ?x approaches 0 f(x+?x)-f(x)/?x where f(x) = 4x-3
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If f(x)=4x-3:

\displaystyle\lim_{\Delta x\to0}\frac{(4(x+\Delta x)-3)-(4x-3)}{\Delta x}=\lim_{\Delta x\to0}\frac{4\Delta x}{\Delta x}=4

If f(x)=4x^{-3}:

\displaystyle\lim_{\Delta x\to0}\frac{\frac4{(x+\Delta x)^3}-\frac4{x^3}}{\Delta x}=\lim_{\Delta x\to0}\frac{\frac{4x^3-4(x+\Delta x)^3}{x^3(x+\Delta x)^3}}{\Delta x}

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7 0
3 years ago
Janet wanted to determine her average phone call length over 90 days. She collected the phone bills and randomly picked ten entr
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oops sorry wrong question. sorry if I confused anyone :(

3 0
3 years ago
kayden paddled a canoe to an island. the island is 8 miles from the shore. his trip to the island took two hours while paddling
Andrew [12]

Answer:

2\text{ mph}

Step-by-step explanation:

GIVEN: kayden paddled a canoe to an island. the island is 8 miles from the shore. his trip to the island took two hours while paddling against the current. he paddles 6 mph with no current.

TO FIND: what was the speed of the current.

SOLUTION:

distance of island from the shore =8 miles

total time taken by Kayden =2 hours

speed of Kayden in still water =6\text{ mph}

Let the speed of current be x

Speed of Kayden against current =6-x\text{ mph}

As,

\text{Time}=\frac{\text{Distance}}{\text{speed}}

2=\frac{8}{6-x}

12-2x=8

x=2\text{ mph}

Hence speed of current is 2\text{ mph}

7 0
3 years ago
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