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
Sladkaya [172]
3 years ago
9

Question part points submissions used consider the following. g(x)={((x**2-a**2)/(x-a) text(if ) x != a,4 text(if ) x =

Mathematics
1 answer:
EastWind [94]3 years ago
4 0
For x\neq a, we have

\dfrac{x^2-a^2}{x-a}=\dfrac{(x-a)(x+a)}{x-a}=x+a

So for g(x) to be continuous at x=a, we require that the limit as x\to a is equal to 4.

\displaystyle\lim_{x\to a}g(x)=\lim_{x\to a}(x+a)=2a=4\implies a=2
You might be interested in
What best describes the pair of angles below?
user100 [1]

Answer:

i want to see the choices

5 0
3 years ago
Help!!<br> With this question <br> Please
Sedbober [7]
<h2>Answer:</h2>

<u>The length is</u><u> 250 meters</u>

<h2>Step-by-step explanation:</h2>

If we look at the left corner of the diagram we see a scale. According to the scale factor of the map

1 cm :1000 cm

The length of the lap on the map is 25 cm

So (25 × 1000) = 25000 cm

Since

1 meter = 100 centimeter

So the actual length of the lap = 25000 ÷ 100 = 250 meters

3 0
3 years ago
Read 2 more answers
6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of th
Alekssandra [29.7K]

Answer:

let dimention of original garden be x

then (x-8)(x-5) = 180

x^2 -13x -140 = 0

(x-20)(x+7)=0

x= 20 or x = -7

x = 20

original area = (20)^2

= 400 m^2

5 0
3 years ago
PLZ HELP PLEASE ./////
Harrizon [31]

Answer:

Step-by-step explanation:

The A

3 0
3 years ago
Naomi wants to take fitness classes at a nearby gym, but she needs to start by selecting a membership plan. With the first membe
3241004551 [841]
54+x=12+3x
X=21 =number of classes
Total amount she will pay is $75
4 0
3 years ago
Other questions:
  • Consider that a 1/2 cup of serving of 1% cottage cheese is equivalent to 125 grams. If one once of cottage cheese is equivalent
    7·1 answer
  • Carl and Beneta are playing a game using the spinner below
    8·1 answer
  • What's the equivalent fraction of 8/9 and 3/11
    9·1 answer
  • Which shows a correct order to solve this story problem? The bus driver's route is 77.8 miles long on each of the first four day
    15·2 answers
  • The collection of natural numbers is an example of an element.<br> True or false?
    15·1 answer
  • 3. Which side in ΔFED does AC in ΔABC correspond to?
    15·1 answer
  • Solve 112(14−6)−(−4)=−59
    14·1 answer
  • Elijah estimates that 80% of the email he receives could be classified as junk. To predict how many junk mail messages he might
    10·2 answers
  • What is the result of subtracting the second equation from the first ? -7x-y=0 and 7x+8y=-6
    7·1 answer
  • Please help I will brainliest!! Really urgent!!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!