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
spin [16.1K]
2 years ago
6

Find values for c and d that make h(x) continuous.

Mathematics
1 answer:
rewona [7]2 years ago
4 0

By applying the definition of continuity and knowing piecewise functions, we know that the solution to this system of linear equations is c = 10 and d = -8.

<h3>How to make a piecewise function continuous</h3>

According to the <em>functional</em> theory, functions are continuous for a given interval if and only if the function has an only value for each element of the interval. In the case of the <em>piecewise</em> function, we must observe these two conditions:

2 · x = c · x² + d, for x = 1     (1)

4 · x³ = c · x² + d, for x = 2      (2)

Then, we have the following system of linear equations:

c + d = 2      (1b)

4 · c + d = 32     (2b)

The solution to this system of linear equations is c = 10 and d = -8.

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

You might be interested in
Help I’ll give 50 points<br> 12) 4x- y=8<br> 5x+y=1
Luba_88 [7]

12) 4x- y=8

5x+y=1

Correct.

4 0
3 years ago
Please help answer <br> Will give Brainlst
Artyom0805 [142]

Answer:

x= -3

y= -5

Step-by-step explanation:

10y - 3x = -41

+

-5y + 3x = 16

10y + (-5y) = 5y

-3x + 3x = 0

-41 + 16 = -25

5y + 0 = -25

y = -25/5

y= -5

10y -3× = -41

(10×-5) - 3x = -41

- 3x = - 41 + 50

- 3x = 9

x = -3

4 0
2 years ago
3 3/8 - 1 1/2 how do you solve e this
ser-zykov [4K]
In exact form it would be 15/8
5 0
3 years ago
Hey guys pls help me
GarryVolchara [31]

Answer:

A graph of an equation is an illustration of a set of points ... Graphing by plotting points is a method of graphing whic ... c ordered pairs satisfy the equation 2x+y = 4, the values of each x and y are s ... Its graph must therefore be a straight line. ... Find the y-intercept by setting x in the given equation equal to 0 and finding the ...

Step-by-step explanation:

3 0
2 years ago
If $17,800 is invested at an interest rate of 8% per year, find the value of the investment at the end of 5 years for the follow
marta [7]

Answer:

7120

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Which statement about numbers on the vertical number line is true?
    8·2 answers
  • Autism is a serious and lifelong disability that is characterized by a severely decreased ability to engage in communication and
    11·1 answer
  • . Use π ≈ 3.14 to estimate the circumference of the circle.
    15·2 answers
  • A yoga studio sells monthly memberships. The function f(x) = −x2 + 50x − 264 models the profit in dollars, where x is the number
    12·1 answer
  • A question abouts angles
    15·1 answer
  • A male leopard seal is measured and has a length of 2.8 meters. A male elephant seal is about 1.5 times as long. What length is
    11·1 answer
  • Write in the missing number <br> 350/ 10 = 350 * ?
    13·1 answer
  • Is 279,198 divisible by 4?<br><br> plzを助けて<br> Plz o tasukete<br><br> Help me plz
    13·2 answers
  • Easy 10 points answer all 5 questions.
    12·2 answers
  • - Todd uses 21 white tiles and some black tiles to make a mosaic. The mosaic has a total area of ​​144 square centimeters. Each
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!