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svetlana [45]
2 years ago
6

Please help me understand this equation

Mathematics
1 answer:
dangina [55]2 years ago
5 0

Answer:

  D.  F(x) = (x +3)³ -2

Step-by-step explanation:

As with most multiple-choice math problems, you can try the different answers to see which is consistent with the information given in the problem. Here, that would mean you evaluate f(-3) to see if you get the value -2.

  A. (-3+2)³ -3 = -4 ≠ -2

  B. (-3 -3)³ -2 = -218 ≠ -2

  C. (-3 -2)³ -3 = -128 ≠ -2

 D. (-3 +3)³ -2 = -2 . . . . . . the correct choice

__

You are probably expected to understand that F(x) has been translated left 3 units and down 2 units from G(x). (The marked inflection point gives you the clue you need.) The transformation that translation does this is:

  F(x) = G(x -h) +k  . . . . .  G(x) translated by (h, k) units (right, up)

Translation left 3 and down 2 gives you (h, k) = (-3, -2), so ...

  F(x) = G(x -(-3)) -2 = G(x +3) -2

  F(x) = (x +3)³ -2

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find the present and future value of $1000 received every month end for 20 years if the interest rate is j12=12%p.a
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EastWind [94]

Answer:

angle 2 = 90° {corresponding angles}

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2 years ago
A particular state has elected both a governor and a senator. Let A be the event that a randomly selected voter has a favorable
Elodia [21]

Answer:

Step-by-step explanation:

Given that A be the event that a randomly selected voter has a favorable view of a certain party’s senatorial candidate, and let B be the corresponding event for that party’s gubernatorial candidate.

Suppose that

P(A′) = .44, P(B′) = .57, and P(A ⋃ B) = .68

From the above we can find out

P(A) = 1-0.44 = 0.56

P(B) = 1-0.57 = 0.43

P(AUB) = 0.68 =

0.56+0.43-P(A\bigcap B)\\P(A\bigcap B)=0.30

a) the probability that a randomly selected voter has a favorable view of both candidates=P(AB) = 0.30

b) the probability that a randomly selected voter has a favorable view of exactly one of these candidates

= P(A)-P(AB)+P(B)-P(AB)

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3 0
3 years ago
Write the equation of the line given the slope and a point through the line passes
Anuta_ua [19.1K]

Answer:

1.) Y = 5/3 X + 4

2.) Y = 9/4 X - 27/4

Step-by-step explanation:

Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is

Y = MX + C

Where the

Slope M = 5/3

Coordinate = (-3,-1) in which

X = -3, Y = -1

Substitute X, Y and M into the general linear equation to achieve C

-1 = 5/3(-3) + C

-1 = - 5 + C

C = 5 - 1

C = 4

Substitute C and M back into the general linear equation.

Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be

Y = 5/3 X + 4

2.) Also,

Slope M = 9/4

Coordinate = (3,0) where X = 3, Y = 0

Substitute X, Y and M into the general linear equation to obtain C

0 = 9/4 (3) + C

C = - 27/4

Substitutes C and M back into the general linear equation

Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)

Y = 9/4 X - 27/4

4 0
3 years ago
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