All categories

2 years ago

Evaluate the limit, if it exists. (if an answer does not exist, enter dne.) lim h → 0 (−6 + h)2 − 36 h

Mathematics

2 answers:

Lyrx [107]2 years ago

3 0

The limit can be found by simplifying the expression.
$\lim\limits_{h\rightarrow 0}\left(\dfrac{(-6+h)^{2}-36}{h}\right)=\lim\limits_{h\rightarrow 0}\left(\dfrac{-12h+h^{2}}{h}\right)\\\\=\lim\limits_{h\rightarrow 0}(-12+h)\\\\=-12$

The limit is -12.

Margaret [11]2 years ago

3 0

Hey there !

Check the attachment.
Hope it helps you :)

You might be interested in

3x-12+10=8-2x what does x equal?

nikitadnepr [17]

X=2 because first you have to combine like terms. Than you have to bring the Varible on one side. Finally you solve for the Varible and you get the answer2.

5 0

2 years ago

Read 2 more answers

Two telephone calls come into a switchboard at random times in a fixed one-hour period. Assume that the calls are made independe

svp [43]

Answer:

0.25

Step-by-step explanation:

From the given information:

Since the times are uniform distributed over the one hour period (0,1):

Then;

$f_1(y_1) = 1$

$f_2(y_2) = 1$

So, $Y_1$ and $Y_2$ are independent; then:

$f(y_1|y_2) = f_1(y_1)f_2(y_2) \\ \\ = 1(1) = 1$

$P(Y_1\le 0.5 Y_2 \le 0.5) = \int ^{0.5}_{0} \int ^{0.5}_{0} f(y_1,y_2) dy_{2}dy_{1}$

$\implies \int ^{0.5}_{0} \int ^{0.5}_{0} (1) dy_{2}dy_{1}$

$= \dfrac{1}{4}$

= 0.25

3 0

2 years ago

Which of the following is an x-intercept of the graph of the function shown below?

DaniilM [7]

Answer: Second option.

Step-by-step explanation:

By defintion, a Quadratic function is a polynomial of degree 2 and it has the following form:

$f(x)=ax^2+bx+c$

Therefore, the function given is Quadratic. This is:

$f(x)=x^2 + 6x +9$

The steps to find the roots (or the x-intercepts) of the function, are:

1. You must substitute $f(x)=0$ :

$0=x^2 + 6x +9$

2. Now, you can factor the Quadratic equation. Choose two numbers whose sum is 6 and whose product is 9. Notice that:

$3+3=6\\3*3=9$

Therefore, you will get a "Double root".

4. So the solution is:

$(x+3)^2=0\\\\x=-3$

8 0

2 years ago

Read 2 more answers

PLEEEEASE HELP!!!! WHO EVER IS BEST WILL BE BRAINLIEST!!!!!!!!!!!!!!!!

Y_Kistochka [10]

Answer:

No they will not reach their goal because they made $310 which is less than $400.

Step-by-step explanation:

Part A the inequality:

You want to make at least 400 or more on the fundraiser, so use greater that or equal to. I used h to represent holiday cards and w to represent wrapping paper.

$1.50h + 1.00w \geq 400$