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
Eva8 [605]
3 years ago
13

Can someone answer this?

Mathematics
1 answer:
denpristay [2]3 years ago
5 0

Answer:

\lim_{x\to 3^-} f(x)=-1

Step-by-step explanation:

We have a piesewise function composed of three pieces. two line segments and one point.

The first line cuts at point (0,0) and ends at point (3, -1)

If we use these two points we can find the equation of the line.

The slope m is:

m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-1 - (0)}{3-0}\\\\m = -\frac{1}{3}

So the equation is:

y = -\frac{1}{3}x + b

As the line cuts in (0,0) then b = 0 and the equation is:

y = -\frac{1}{3}x

The equation of the second line is:

y = -4

Now we can find f(x) (although it is not necessary to find the equation of f(x) because we have its graph)

f(x) = -\frac{1}{3}x   if  x;  f(x)=-4   if   x> 3;   f(x)= 7   if   x = 3.

The limit of f(x) when x tends to 3 from the left  \lim_{x\to 3^-} f(x) is the limit of the function  when x approaches 3 from the left. If x approaches 3 from the left then x. If x then f(x) is given by the line y = -\frac{1}{3}x . Then the limit is -1  as seen in the graph

You might be interested in
Write a unit test for addinventory(). call redsweater.addinventory() with parameter sweatershipment. print the shown error if th
Katena32 [7]
<span>#include <iostream> using namespace std; class InventoryTag { public: InventoryTag(); int getQuantityRemaining() const; void addInventory(int numItems); private: int quantityRemaining; }; InventoryTag::InventoryTag() { quantityRemaining = 0; } int InventoryTag::getQuantityRemaining() const { return quantityRemaining; } void InventoryTag::addInventory(int numItems) { if (numItems > 10) { quantityRemaining = quantityRemaining + numItems; } } int main() { InventoryTag redSweater; int sweaterShipment = 0; int sweaterInventoryBefore = 0; sweaterInventoryBefore = redSweater.getQuantityRemaining(); sweaterShipment = 25; cout << "Beginning tests." << endl; // FIXME add unit test for addInventory /* Your solution goes here */ cout << "Tests complete." << endl; return 0; }</span>
5 0
3 years ago
Simplify the numerical expression:<br> (5^4) (5^2)<br> A. 5^-10<br> B. 5^2<br> C. 5^-6<br> D. 5^-2
alexgriva [62]

Answer: A is the answer

3 0
2 years ago
The first term of a geometric sequence is 3 and the multiplier, or ratio, is 2. what is the sum of the first 6 terms of the sequ
storchak [24]
Answer:

288

Explanation:

As first term in sequence is 3 so multiplying it by common ratio 5 we get 15, then multiplying 15 by 5 we get 45 and so on the sequence is
<span>3,15,45,225</span>
whose sum is 288

5 0
3 years ago
9x2/3 help due in 3 min
sattari [20]

Answer:

6

Step-by-step explanation:

9/1 × 2/3

(9 × 2 = 18)

(1 × 3 = 3)

18 ÷ 3 = 6

7 0
3 years ago
Sung-Hi is filling a sandbox with sand at the rate shown in the table below. which statement must be true regarding the linear f
lana66690 [7]

Answer:

D. The rate of change must be 20 pounds per minute.

Step-by-step explanation:

At time 0, the amount of sand is 200 lb. Time zero is when it starts, so it is also called the initial time. The initial value is 200 lb, so choices A and B are wrong.

Now look at the difference from time 0 minutes to time 1 minute. The amount of sand went from 200 lb to 220 lb. The amount of sand placed in 1 minute is 20 lb, so the rate of change is 20 lb per minute. That makes choice C wrong and choice D correct.

Answer: D. The rate of change must be 20 pounds per minute.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Evelyn says that the equation 3(x - 3) + 5 = 3x + 1 + 4
    9·1 answer
  • Lydia received her salary on Friday. She spent one-half of her salary on rent and then spent $168 on her electric and water bill
    10·1 answer
  • Which of the following math statements contains variables? check all that apply
    6·2 answers
  • Decide if the situation involves​ permutations, combinations, or neither. Explain your reasoning. The number of ways a four dash
    10·1 answer
  • Find the zero of the polynomial x² - 4x + 3​
    5·1 answer
  • 4<br> — = 16<br> M<br><br> Omg help me this is due tomorrow!!!
    8·1 answer
  • Evaluate (x + y)^0 for x = -3 and y = 5.<br><br> 0<br> -1/2<br> 2<br> 1
    15·2 answers
  • Question 14(1 point Find x. Round answer to the nearest tenth. (one decimal place - if you round incorrectly, the answer will be
    5·1 answer
  • Help help help help help help help help help help help plsss
    7·2 answers
  • Please help me I’m desperate and in need of hep‼️‼️‼️ Describe how to calculate the volume of a composite 3-D figure.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!