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
tino4ka555 [31]
2 years ago
15

Find the indicated limit, if it exists. limit of f of x as x approaches 9 where f of x equals x plus 9 when x is less than 9 and

f of x equals 27 minus x when x is greater than or equal to 9
The limit does not exist.
18
0
9

Mathematics
1 answer:
SVEN [57.7K]2 years ago
8 0

Answer:

B. 18

Step-by-step explanation:

For the function

f(x)=\left\{\begin{array}{l}x+9,\ \ x

we can find the value of the function for all x that are very close to 9 but are less than 9 and for all values of x that are very close to 9 but are greater than 9.

1. For x

\lim \limits_{x\rightarrow 9}f(x)=\lim \limits_{x\rightarrow 9}(x+9)=9+9=18

2. For x\ge 9:

\lim \limits_{x\rightarrow 9}f(x)=\lim \limits_{x\rightarrow 9}(27-x)=27-9=18

So, limit exists and is equal to 18.

You might be interested in
What type of correlation is suggested by the scatter plot?
Bas_tet [7]
No correlation is suggested
8 0
3 years ago
Lesson 16
Goshia [24]

Answer:

546 ft³

Step-by-step explanation:

In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.

Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²

Area of the rectangle: 1.5*11 = 16.5 ft²

Total area: 120 + 16.5 = 136.5 ft²

Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³

6 0
3 years ago
Which of the following names a line segment in the drawing?
alekssr [168]
The answer is JN. A way I try to remember a line segment is that they are like two eyes with a line in the middle (sorry they make the answer 20 or more characters)
6 0
2 years ago
find the equation of a cubic function whose graph passes through points (3,0) and (1,4) and is tangent to x-axis at the origin
Tomtit [17]

Answer:

y = -2x^2(x - 3)

Step-by-step explanation:

<em><u>Preliminary Remark</u></em>

If a cubic is tangent to the x axis at 0,0

Then the equation must be related to y = a*x^2(x - h)

<em><u>(3,0)</u></em>

If the cubic goes through the point (3,0), then the equation will become

0 = a*3^2(3 - h)

0 = 9a (3 - h)

0 = 27a - 9ah

from which h = 3

<em><u>From the second point, we get</u></em>

4 = ax^2(x - 3)

4 = a(1)^2(1 - 3)

4 = a(-2)

a = 4 / - 2

a = -2

<em><u>Answer</u></em>

y = -2x^2(x - 3)

 

3 0
2 years ago
Which inequality is equivalent to 8 &lt; 3x – 4(2x – 5)?
oksian1 [2.3K]

8<-5x+20 is one possible answer. it depends on how they are writing it. you need to do the distributed property.

5 0
3 years ago
Other questions:
  • A college student borrows $1,000 for 9 months to pay for a semester of school. if the interest is $61.88, find the monthly payme
    10·1 answer
  • I need help please and thank you
    8·2 answers
  • Which of the following is(are) the solution(s( to |5x+2|=8?
    13·2 answers
  • 15 times 2 to 2to the second power minuses (42 divided by 6) plus 58
    14·1 answer
  • 15% of 9 marbles is what marbles?
    6·1 answer
  • Can mow his lawn at rate of 15 per hour. how many get per hour is this
    14·1 answer
  • I need help with number 46.
    13·1 answer
  • A box has a total surface area of $100.$ The length of the box is equal to twice its width, as well as equal to $3$ less than it
    15·1 answer
  • It cost $5.00 per ticket to see the school play. If the school made $575 in sales how many tickets did they sell? Write and solv
    12·2 answers
  • A bicycle has a listed price of $643.95 before tax. If the sales tax rate is 6.75%, find the total cost of the bicycle with sale
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!