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Dimas [21]
3 years ago
14

Hey can you please help me posted picture of question

Mathematics
1 answer:
Anika [276]3 years ago
4 0
When a number is added to or subtracted from a function it moves it vertically up or down.

G(x) is obtained by subtracting 3 from F(x). This means G(x) is obtained by vertical translation of F(x). Since 3 is subtracted from F(x), the vertical translation is downwards.

So, we can say: G(x) is obtained by moving F(x) 3 units vertically down.

Therefore, the correct answer is option D
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Complete the equation of the line through (-9,-9) and (-6,0)
Rudik [331]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis.

According to the data of the statement we have the following points:

(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3

Thus, the equation is of the form:

y = 3x + b

We substitute one of the points and find b:

0 = 3 (-6) + b\\0 = -18 + b\\b = 18

Finally, the equation is:

y = 3x + 18

Answer:

y = 3x + 18

7 0
3 years ago
Round each decimal number to the near estas integer: 11.90, 5.49, 7.09, 8.5, -2.2
astraxan [27]

11.90 rounds up to 12, which is the nearest integer.

5.49 rounds down to 5.

7.09 rounds down to 7.

8.5 rounds up to 9.

-2.2 rounds down to -2.

8 0
3 years ago
Help!! 3820 divided by 5
Mnenie [13.5K]

Answer: 764


Step-by-step explanation:


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3 years ago
Read 2 more answers
For sin2x+cosx=0, use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation
Archy [21]

Answer:

Step-by-step explanation:

Given is a trignometric equation in x, as

sin2x+cosx=0

TO make it in one trig ratio, we can replace sin2x as 2sinx cosx

WE get now

2sinxcosx+cosx=0\\

cosx(2sinx+1)=0\\cosx=0, sinx =-0.5\\

Principal solution is x=\frac{\pi}{2} , \frac{-\pi}{6}

x = ±π/2 + 2kπ, where k is any integer or

x=±pi/6 +k pi, where k is any integer.

General solution is

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3 years ago
Round 548.8 to the nearest thousand.
mote1985 [20]

Answer:

The answer is 1,000

8 0
3 years ago
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