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MatroZZZ [7]
3 years ago
14

Which set of steps will translate f(x)=6x to g(x) =6x-5-7?

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Answer:

vertical translation of 5 units in the negative y direction, followed by a vertical translation of 7 units in the negative y direction.

Step-by-step explanation:

given f(x)=6x

f(x)=6x ---> f(x)=6x - 5    (Vertical translation by 5 units in the negative y (i.e downward) direction)

f(x)=6x - 5 ---> f(x)=6x - 5  - 7 (Vertical translation by 7 units in the negative y (i.e downward) direction)

hence it is a vertical translation of 5 units in the negative y direction, followed by a vertical translation of 7 units in the negative y direction.

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3÷4 is 3/4. What is 1/4 of 3?
Nat2105 [25]

1/4 of 3 is 0.75 its is also 3/4

Because you multiply 1/4 times 3 and get that

8 0
3 years ago
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin
babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

x + y = 500

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

42x + 30y = 16,200

So, we have the following system

1) x + y = 500

2) 42x + 30y = 16,200

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

1) x + y = 500

2) 42x + 30y = 16,200

I am going to write y as a function of x in 1), and replace in 2). So:

x + y = 500 means that y = 500-x

42x + 30y = 16,200

42x + 30(500-x) = 16,200

42x + 15000 - 30x = 16,200

12x = 1,200

x = \frac{1,200}{12}

x = 100

Now, going back to 1:

y = 500 - x = 500 - 100 = 400

He should plant 100 acres of corn and 400 acres of wheat.

5 0
3 years ago
I need help please and thank you
fomenos

Answer:

37.7 feet.

Step-by-step explanation:

6 0
3 years ago
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OLEGan [10]

Answer:

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Step-by-step explanation:

Working out AB:

7.5²+4.9²

= √80.26

AB= 8.96cm

To work out x:

AB is the opposite, where BC is the adjacent. This means that we have to use TOA.

x=8.96/Tan(55.8)

x= 6.09cm

7 0
3 years ago
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F(x) = 3x-7 and g(x) = -2x-6. Find (f o g)(4)
USPshnik [31]
<span>(f o g)(4) = f(g(4))
so
g(4) = </span><span>-2(4) -6 = -14
</span>f(g(4)) = <span>3(-14) -7 = -49

answer
</span><span> (f o g)(4) = -49</span>
4 0
3 years ago
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