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Vilka [71]
3 years ago
12

6. If f(x) = 3x +3 and g(x)=-3+2x, find the rule of the function 2g(x)+2f(x).

Mathematics
1 answer:
mars1129 [50]3 years ago
5 0
<h3>Answer:</h3>

10x

Solution:

If f(x) = 3x +3 and g(x) = -3 +2x, then 2g(x) +2f(x) is:

2(-3 +2x) +2(3x +3) \\ -6 +4x +6x +6 \\ (-6 +6) +(4 +6)x \\ 0 +10x \\ 10x

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The sum of two numbers is 6, their difference is 4, find the two numbers. What is their product?
Firlakuza [10]

Answer:

The two numbers are 5 and 1. Their product is 5

Step-by-step explanation:

x + y = 6 (*)

x - y = 4 (**)

Let (*) + (**)

--> (x+y) + (x-y) = 6 + 4

<=> 2x = 10 <=> x = 5

Substitute x= 5

(*) <=> 5 + y = 6

<=> y=1

Answer: (x,y) = (5,1)

Their product: x.y = 5x1 = 5

6 0
3 years ago
10) Solve the inequality for x.
Stella [2.4K]

Answer:

it is D

Step-by-step explanation:

4 0
2 years ago
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malia has a recipe for a cake that requires her to use 8 tablespoons of flour but can only find a teaspoon measure in her kitche
Kipish [7]

Answer:

24 Teaspoons

Step-by-step explanation:

If 1 Tablespoon equals 3 Teaspoons, then we can make the equation 3(8)=24.

We can factor out the 1 Tablespoon for 8 and multiply to reach our answer.

1 = 3

8 = ?

8 x 3 = 24

24/1 = 24

? = 24

Thanks,

Greg

4 0
2 years ago
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Expression for six minus b
Zanzabum

Answer:

6-b

Step-by-step explanation:

I hope this helps, and have a great day! :D

4 0
2 years ago
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A farmer has 1,200 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence a
iVinArrow [24]
Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet


we need to find the max area
but with 3 sides

area=LW
let's say the sides are z and y
zy=area

and the relatiionship between them is
hmm,
z+2y=1200
because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other

(1200-2y)(y)=area
expand
1200y-2y²=area
take derivitive
1200-4y=dy/dx area
max is where dy/dx goes from positive to negative
solve for where dy/dx=0
1200-4y=0
1200=4y
300=y

at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max

then
z=1200-2y
z=1200-2(300)
z=1200-600
z=600

so then
z=600
y=300
300<600

so the shorter side would be y

so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others


so ya, you are right
6 0
3 years ago
Read 2 more answers
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