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uranmaximum [27]
3 years ago
6

Are these answers correct? If not, what would the answers be?

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0
Yes you have the correct answers for each of the four problems. Nice work.

For anyone curious,
rd = removable discontinuity
id = infinite discontinuity
c = continuous
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Consider the following functions. f1(x) = x, f2(x) = x2, f3(x) = 7x − 5x2 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, a
Margaret [11]

Answer:

Therefore the solution is = k{-7,5,1} where k ∈R

Step-by-step explanation:

Given that,

f₁(x) =x

f₂(x)= x²

f₃(x)= 7x - 5x²

Also,

g(x) = c₁f₁(x)+c₂f₂(x)+c₃f₃(x)

Putting the values of f₁(x), f₂(x) and f₃(x).

g(x) = c₁.x+c₂x²+c₃(7x-5x²)

Given condition that g(x)= 0

∴ c₁.x+c₂x²+c₃(7x-5x²)=0

⇒(c₁+7c₃)x +(c₂-5c₃)x² = 0

Comparing the coefficients of x and x²

∴c₁+7c₃=0               and       c₂-5c₃ =0

\Rightarrow c_1 =-7c_3                     \Rightarrow c_2=5c_3

Let c₃= k   [k∈R]  

Then c₁ = -7k   and   c₂=5k

Therefore the solution is = { c₁,c₂,c₃}  

                                           = {-7k, 5k, k}

                                            =k{-7,5,1}

5 0
3 years ago
The population of Oregon is about 4,000,000. What is the order of magnitude of this number?
CaHeK987 [17]
The order of magnitude is the same thing as saying the scientific notation which is 4x10 to the power of six. The important thing about scientific notation is that there has to be a number only in the tens place but nothing in the hundreds and thousands. 
8 0
4 years ago
What is the unit rate for 692.08 ft in 21.1 s?<br><br> Round to the nearest tenth if necessary.
kumpel [21]
692.08 : 21.1
Divide both sides by 21.1
32.8 :1
32.8ft per second

Hope this helps :)
8 0
3 years ago
Read 2 more answers
I NEED HELPPPPPP PLEASEEE
daser333 [38]

Answer:

  • x = a^(q/p)

Step-by-step explanation:

<u>See steps below, solving for x:</u>

  • x^(p/q) = a  
  • log x^(p/q) = log a
  • p/q log x = log a
  • log x = q/p log a
  • log x = log a^(q/p)
  • x = a^(q/p)
4 0
3 years ago
Evaluate each expression for a = 2, b = 3 and c = -6 <br><br><br> 8-2ab
jasenka [17]

Answer:

-4

Step-by-step explanation:

8 - 2ab

8 - (2 * 2 * 3)

8 - 12

= -4

6 0
2 years ago
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