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Dimas [21]
3 years ago
6

Solve the problem. Determine which of the following sets is a subspace of Pn for an appropriate value of n. A: All polynomials o

f the form p(t) = a + bt2, where a and b are in ℛ B: All polynomials of degree exactly 4, with real coefficients C: All polynomials of degree at most 4, with positive coefficients
Mathematics
1 answer:
grin007 [14]3 years ago
3 0

Only A and B form subspaces of P_2 and P_4, respectively.

C does not form a subspace because it does not contain the zero vector.

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38. The ______ is also not convenient to use because the process of working for it produces large numbers due to squaring. 39. T
lesya692 [45]

Answer:

This Question Is From The Novel Of The Fantastic Mr.Fox

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8 0
3 years ago
A line includes the points (-39,49) and (0,0). What is its equation in slope-intercept form?
malfutka [58]

Answer:

The equation in the slope-intercept form will be:

y=-\frac{49}{39}x+0

Step-by-step explanation:

Given the points

  • (-39,49)
  • (0,0)

Finding the slope between the points using the formula

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-39,\:49\right),\:\left(x_2,\:y_2\right)=\left(0,\:0\right)

m=\frac{0-49}{0-\left(-39\right)}

m=-\frac{49}{39}

We know that the point-slope of the line equation is

y-y_1=m\left(x-x_1\right)

substituting m=-\frac{49}{39} and (-39,49)  in the equation

y-y_1=m\left(x-x_1\right)

y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)

Now writing the equation in slope-intercept form

y=mx+b

where m is the slope and b is the y-intercept

y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)

y-49=\frac{-49}{39}\left(x+39\right)

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}

y-49=-\frac{49}{39}\left(x+39\right)

\mathrm{Add\:}49\mathrm{\:to\:both\:sides}

y-49+49=-\frac{49}{39}\left(x+39\right)+49

y=-\frac{49}{39}x+0              ∵ y=mx+b

Where

m=-\frac{49}{39} and the y-intercept i.e. b=0

Therefore, the equation in the slope-intercept form will be:

y=-\frac{49}{39}x+0

5 0
3 years ago
Explain why a linear function may not be adequate for describing the supply and demand functions.
lyudmila [28]
Because when supply is limited the demand may become an exponential function and vice versa.
5 0
3 years ago
Read 2 more answers
2(sqrt(9,000,000/2)) 9,000,000/(sqrt(9,000,000/2))
Bingel [31]
<span>2(sqrt(9,000,000/2)) 9,000,000/(sqrt(9,000,000/2)) The answer is 18,000,000 or 18 Million my friend.</span>
7 0
3 years ago
5. Suppose you choose a marble from a bag containing 3 red
makvit [3.9K]

Answer:

15/64

Step-by-step explanation:

Given

Red, R : 3 marbles

Blue, B : 5 marbles

Total : 5+3=8 marbles

If first marble is returned

P(Red) = 3/8

P(Blue) = 5/8

P (Red then Blue) = 3/8 x 5/8 = 15/64

8 0
3 years ago
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