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lakkis [162]
3 years ago
15

Compare the functions below: f(x) = −3 sin(x − π) + 2

Mathematics
2 answers:
Bas_tet [7]3 years ago
4 0
Given:
f(x) = - 3sin(x - π) + 2
h(x) = (x + 7)² - 1

g(x):
x:       0   1   2   3   4    5   6   
g(x):   8  3   0  -1    0   3   8   

For the range 0 ≤ x ≤ 6,
(a) f(x) takes a minimum value of -3 + 2 = -1, because the minimum value
     for the sine function is -1.
(b) g(x) takes a minimum value of -1 according to the given table.
(c) h(x) takes a minimum value of 7^2 - 1 = 48 when x = 0.

A graph of f(x) and g(x) confirms the conclusions.

Answer: Both f(x) and g(x) have minimum values of -1.


Kitty [74]3 years ago
4 0

Answer: f(x)

Step-by-step explanation:

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Step-by-step explanation: I just did it and got it right

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nikklg [1K]

Answer:

94 is next answer of this pattern

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PLEASE HELP ASAP
Evgen [1.6K]

Answer: I'm not sure how to interpret "If 4 (A) between 5/8 and 4/5." If the sentence was supposed to read:

"Is 4:

(A) between 5/8 and 4/5

(B) between 1 and 2

(C) between 0 and 2

(D) between 1/2 and 1

(E) cannot be determined

Step-by-step explanation: If this is the correctly rewritten question, then the answer is NO to all the options. If I have misinterpreted the question, please clarify.

6 0
3 years ago
Help me plz 20 points to who ever gets it right
Nikolay [14]

Step-by-step explanation:

2., 3., 4., 5.

yes, you had the right idea to calculate the half distances between the coordinates. just create the absolute values of the full distance before cutting it in half.

you need to remember : we have to go this half distance from one point to the other (meaning adding our subtracting the half distance to/from the starting point).

2.

(-4, 6) to (10, -10)

in x the distance is 10 - -4 = 14. half is 7.

in y the distance is |-10 - 6| = |-16| = 16. half is 8.

so the midpoint is

(-4 + 7, 6 - 8) = (3, -2)

remember, to go the half distance in the direction towards the second point (so we have to choose properly, when to use "+" and "-" depending on the change of the coordinate : from -4 to 10 we have to add, from 6 to -10 we have to subtract, of course).

3.

(-3, -8) to (-6.5, -4.5)

in x distance : -3 - -6.5 = 3.5. half is 1.75

in y distance : -8 - -4.5 = |-3.5| = 3.5. half is 1.75

midpoint is

(-3 - 1.75, -8 + 1.75) = (-4.75, -6.25)

4.

(3, 7) to (-8, -10)

x : 3 - -8 = 11. half is 5.5

y : 7 - -10 = 17. half is 8.5

midpoint is

(3 - 5.5, 7 - 8.5) = (-2.5, -1.5)

5.

(-6, -13) to (-6.4, -3.8)

x : -6 - -6.4 = 0.4. half is 0.2

y : -13 - -3.8 = |-9.2| = 9.2. half is 4.6

midpoint is

(-6 - 0.2, -13 + 4.6) = (-6.2, -8.4)

6.

(-1, 7) to (5, 1)

x : -1 - 5 = |-6| = 6. 1/3 is 2.

y : 7 - 1 = 6. 1/3 is 2.

1/3 from C to D

(-1 + 2, 7 - 2) = (1, 5)

7.

2/3 of the way from D to C is the same point as in 6. (1/3 from C to D).

again

(1, 5)

8.

2/3 of the way from C to D.

so, we need to double what we added in 6.

(-1 + 4, 7 - 4) = (3, 3)

9.

1/3 of the way from D to C is the same point as in 8. (2/3 of the way from C to D).

again

(3, 3)

10.

exactly. Pythagoras.

the square root of the sum of the squares of the coordinate differences.

distance = sqrt((x1 - x2)² + (y1 - y2)²)

11.

(6, 8) to (-1, 8)

distance = sqrt((6 - -1)² + (8 - 8)²) = sqrt(49) = 7

12.

(5, -6) to (5, 6)

sqrt((5-5)² + (-6-6)²) = sqrt(144) = 12

13.

(-2, 0) to (11, 0)

sqrt((-2 - 11)² + (0-0)²) = sqrt(169) = 13

14.

(1, -5) to (9, 1)

sqrt((1-9)² + (-5 - 1)²) = sqrt(64 + 36) = sqrt(100) = 10

15.

ST and MT are basically the same equation.

MT is half of ST.

ST equation based on 2 points :

y – yS={(yT – yS)/(xT – xS)}(x – xS)

M = (xS + (xT - xS)/2, yS +(yT - yS)/2)

so, let's put that into the general equation :

y - yM={(yT - yM)/(xT - xM)}(x - xM)

y - (yS +(yT - yS)/2) = {(yT - (yS +(yT - yS)/2))/(xT - (xS + (xT - xS)/2))}(x - (xS + (xT - xS)/2))

16.

the two corners farthest away are (5, 10) and (9, 6).

what distance from (0, 0) is now bigger ?

since it is (0, 0), we can skip the 0s and just sum up the squares of the coordinates.

5² + 10² = 125

9² + 6² = 117

so, the corner (5, 10) is the farthest away.

6 0
3 years ago
Which is faster 15 feet per second or 12 miles per hour
Ierofanga [76]
12 miles per hour, it’ll be 17.6 feet per second.
6 0
3 years ago
Read 2 more answers
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