1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cluponka [151]
3 years ago
9

Find lim PLEASE I NEED HELP ASAP !!!!

Mathematics
1 answer:
stira [4]3 years ago
5 0

Computing the limit directly:

\displaystyle\lim_{h\to0}\frac{f(2+h)-f(2)}h=\lim_{h\to0}\frac{((2+h)^2+(2+h)+1)-7}h\\\displaystyle=\lim_{h\to0}\frac{5h+h^2}h\\=\displaystyle\lim_{h\to0}(5+h)=\boxed{5}

Alternatively, you can recognize the limit as being equivalent the derivative of <em>f(x)</em> at <em>x</em> = 2, in which case differentiating and plugging in 2 gives

<em>f'(x)</em> = 2<em>x</em> + 1   =>   <em>f'</em> (2) = 5

You might be interested in
Simplify the expression -3(x+3)+4x
Korolek [52]

Answer:

x - 9

Step-by-step explanation:

In this case, "simplify" directs that you 1) carry out the indicated multiplication and 2) combine like terms.

-3(x+3)+4x = -3x - 9 + 4x = x - 9

8 0
3 years ago
Read 2 more answers
It takes 0.0015 quart of paint to cover 1 square inch.
lorasvet [3.4K]

The total amount of paint needed is 15 quart and it cost $41.25.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

0.0015 quart of paint to cover 1 square inch.

Let the area of the rectangle be 10000 in², hence:

Amount of paint = 0.0015 quart per in² * 1000 in² = 15 quart

Cost of paint = $2.75 per quart *  15 quart = $41.25

The total amount of paint needed is 15 quart and it cost $41.25.

Find out more on equation at: brainly.com/question/2972832

4 0
2 years ago
Solve the compound inequality 6b &lt; 42 or 4b + 12 &gt; 8. (1 point)
Nitella [24]
6b<42
b<7
4b+12>8
4b>-4
b>-1
b>-1 or b<7
8 0
3 years ago
In a​ lottery, the top cash prize was ​$642 ​million, going to three lucky winners. Players pick five different numbers from 1 t
kramer

Answer:

\frac{10}{53 \times 46 \times 26}

Step-by-step explanation:

The probability of matching the number drawn on the gold ball is

\frac{1}{46}

The number of possible pairs of numbers from 1 to 53 is

\binom{53}{2}  =  \frac{53 \times 52}{2}  = 53 \times 26

Choosing 5 numbers, you are choosing 10 different pairs:

\binom{5}{2}  =  \frac{5 \times 4}{2}  = 10

Therefore the probability of correctly matching the drawn pair is

\frac{10}{53 \times 26}

Thus, the probability of winning (matching the pair AND the gold ball) is

\frac{10}{53 \times 46 \times 26}

4 0
3 years ago
Estimate a 15% tip on a dinner bill of 39.51
tatyana61 [14]

Answer:

Tip Total: $ 6

Tip Each Person: $ 6

Total (Bill + Tip): $ 46

8 0
3 years ago
Read 2 more answers
Other questions:
  • HELP!!!!!! URGENT BRAINLIEST Please answer the following question to the simple graph​
    7·1 answer
  • Which of the following questions describes the equation m - 4 = 7?
    14·2 answers
  • How would you round the number 33 and. 89 to estimate their sum
    9·1 answer
  • The company sells the toys for $12 each. Write an expression for the amount of
    13·1 answer
  • N + 9 &gt;_ 13 (with the “_” under the “&gt;”
    13·2 answers
  • A restaurant reports a net income of -1,242 over a three month period. What is the average income per month for that period, (Pl
    10·1 answer
  • What is -126=14K solution
    8·1 answer
  • colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colle
    10·2 answers
  • When estimating a job to bid, a contractor’s estimator first determines the actual cost of labor using the function L(h) = 28.75
    13·1 answer
  • Solve for d.<br> -2 – 9d = -10d - 9
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!