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
Sergeeva-Olga [200]
3 years ago
13

Determine all numbers at which the function is continuous.

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

Answer: Option a.

Step-by-step explanation:

Make the denominator equal to zero and solve for x, as following:

x^{2}+8x-9=0

Choose two numbers whose sum is 8 and whose product is 9.

Then:

(x-1)(x+9)=0\\x=1\\x=-9

Therefore, based on this, you can conclude that the function is continuous at everty real number except x=1 and x=-9.

You might be interested in
What is the area of this composite figure?
Gelneren [198K]

Answer:

249 centimeters squared

Step-by-step Explanation:

The area of the rectangle: l x w, where l is the length and w is the width.

= 15.5 x 18

= 279

Area of the smaller rectangle: l x w, where l is the length and w is the width.

= 4 x 7.5

= 30

We do not need this 30.

Area of the shaded region:

= 279 - 30

= 249 cm²

5 0
2 years ago
Can someone find the slopes of these two please?
GenaCL600 [577]

Answer:

you put the points into the slope formula and solve : (y2-y1)/(x2-x1)

1. (4 -1) / (-2 -3)

3 / -5

2. (-1 -(-2)) / (5 - 0)

(-1 +2) / 5

1/ 5

Step-by-step explanation:

i hope this helped :)

8 0
3 years ago
Read 2 more answers
Carlos jogged 5 laps around the school track in 8 minutes. What was his average speed in laps per minute? lap(s) per minute PLEA
aleksklad [387]

Answer:

To solve this problem, you would create two ratios and make them equal to each other, both representing laps:minute or laps/minute! With that being said, laps will be in the numerator, or on top, and minutes will be in the denominator, or the bottom! The first ratio, which we know from the problem, will be 5/8. In order to write the second ratio, we need to come up with something to put in place for what we're solving for. I like to use x. So, we need to find how many laps (x) are run in 1 minute. Remember, laps are on top and minutes are on the bottom. The second ratio would look like x/1. Then we make them equal to each other -> 5/8=x/1. You would then solve this equation by multiplying the right side of the equation by the reciprocal of the denominator! So, it would be 1/1(5/8)=x. Because then multiple the numerators and the denominators -> 1(5)=5 and 1(8)=8! This makes the equation turn into x=5/8! Because x equals the number of laps run in one minute, we can say that Ricky ran 5/8 of a lap in one minute or 0.625 laps in one minute!

Step-by-step explanation:

5 0
3 years ago
Please help I need to get this done
satela [25.4K]

Answer:

Your answer is drawn in the picture.

Step-by-step explanation:

Solve for <Q and then figure out which degree is bigger which mean that degree's side is big.

3 0
2 years ago
If $10,000 is invested in an account at 4.8% annual simple interest, how long will it take for the account balance
Lesechka [4]
10000+4.8%=10480
10480+4.8%=10983.04
10983.04+4.8%=11510.22592


so 3 years
7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the value of x in the triangle shown below.
    5·2 answers
  • Jeremy cleans his house in 2 1/2 hours.hunter cleans his house in 3 1/4 hours.how much longer does it take for Jeremy to clean h
    15·2 answers
  • I just want people to tell me if this correct for the first question
    8·2 answers
  • F(x)= sqrt of 5x+7 and g(x)= the sqrt of 5x-7
    7·1 answer
  • Money Flow An investment scheme is expected to produce a continuous flow of money, starting at $1000 and increasing exponentiall
    15·1 answer
  • Hardy's plant grows rapidly . iits grows by 10 cm
    10·2 answers
  • Select the correct answer.
    15·2 answers
  • A tow truck company in Houston charges a $40 service call fee and an additional fee of $15 per mile that the vehicle is towed. W
    12·1 answer
  • A book is 6 inches wide and 9 inches tall.
    5·1 answer
  • Pls help with steps also
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!