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Nataliya [291]
3 years ago
5

Write an equation that represents a vertical translation 7 units down of the graph of g(x) = 21.

Mathematics
1 answer:
xenn [34]3 years ago
3 0

Answer:

<h2>h(x) = 14</h2>

Step-by-step explanation:

f(x) + n - translation n units up

f(x) - n - translation n units down

f(x + n) - translation n units to the left

f(x - n) - translation n units to the right

===========================================

g(x) = 21

translation 7 units down: g(x) - 7 = 21 - 7 = 14

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A student government organization is selling Christmas trees as a fundraiser. On Friday, they sold 5 noble fir trees and 3 dougl
Lana71 [14]

5 noble fir and 3 douglas fir = $ 420

12 noble fir and 9 douglas fir = $ 1080

Let noble fir be n,  and douglas fir be d.

5n + 3d = 420               ..............(i)

12n + 9d = 1080           ...............(ii)

Multiply equation (i)  by 3.

3*(5n + 3d) = 3*(420)

15n + 9d = 1260        .............(iii)

Equation (ii)  minus (iii)

(12n + 9d) - (15n + 9d) =  1080 - 1260

12n - 15n  + 9d - 9d = -180

-3n = -180

n = -180/-3 = 60

Substitute the value of n in (i)    5n + 3d = 420 

5*(60) + 3d = 420

300 + 3d  = 420
 
3d =  420 - 300 = 120

3d = 120

d = 120/3 = 40

Therefore Noble fir tree cost $60 while Douglas fir tree cost $40
5 0
3 years ago
In which order would the following numbers come from least to greatest?
Mekhanik [1.2K]

Answer:

-7/3, 0.5, 2/3, 3/4, 1.2 valued least to greatest

Step-by-step explanation:

-7/3 is negative then 0.5 then 2/3 is .6666 as a decimal then 3/4 which is .75 as a decimal and then 1.2

6 0
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900 is 4 1/2% of what?
Svet_ta [14]
Simple, first change the 4.5% into 0.045

Thus,

900=0.045*n

900/0.045=0.045n/0.045

20,000=n

Thus, your answer is 20,000.
3 0
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Answer:

  True

Step-by-step explanation:

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The area is 12x^2-19x-21
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