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svetlana [45]
3 years ago
12

30 points if you answer this question and please show work !!

Mathematics
1 answer:
worty [1.4K]3 years ago
5 0
I don't know what is between f(x) and g(x), so (for now) there are two posible answers:

1. f(x)g(x) = f(x)\cdot g(x) - function multiplication:

f(x)g(x)=(2x-3)\cdot(3x+8)=2x\cdot3x+2x\cdot8-3\cdot3x-3\cdot8=\\\\=6x^2+16x-9x-24=\boxed{6x^2+7x-24}

2. f(x)g(x)=f(x)\circ g(x) - function composition:

f(x)g(x) = f(x)\circ g(x) = f\big(g(x)\big)=2(3x+8)-3=2\cdot3x+2\cdot8-3=\\\\=6x+16-3=\boxed{6x+13}


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Determine the slope of the line passing through the given points.
Svetlanka [38]
The slope is -3/1 so to find other points, go to (2,-1) and go down 3, over 1.
6 0
2 years ago
Help me simplify this, please!!
OlgaM077 [116]
- \sqrt[3]{2 x^{4} y^{2}  } *3 \sqrt[3]{20 x^{5}y } =-3  \sqrt[3]{2 x^{4} y^{2}20 x^{5}y} =  \\ \\ =-3 \sqrt[3]{40 x^{9}  y^{3} } =-3 \sqrt[3]{2 ^{3}*5* x^{9}  y^{3}  } = \\  \\ =-3*2 ^{ \frac{3}{3} } * x^{ \frac{9}{3} } * y^{ \frac{3}{3} }  \sqrt[3]{5} =-6 x^{3} y \sqrt[3]{5}
Answer: B.
6 0
3 years ago
Juan is going to a school where tuition is $5,000 per year. He has a scholarship that pays 60% of his tuition. He has a grant fo
baherus [9]

Answer:

She now needs to borrow $4000

Step-by-step explanation:

Juan is going to a school where tuition is $5,000 per year. He has a scholarship that pays 60% of his tuition. He has a grant for $1,000 per year. How much will Juan need to borrow to pay tuition each year?

8 0
3 years ago
Solve the following system x=3 y=3x-1
astraxan [27]

Answer:

x = 3

y = 8

Step-by-step explanation:

Since it gives you x, you need to plug in the number given for it into the equation:

y = 3x - 1

y = 3(3) - 1

y = 9 - 1

y = 8

So now you have, x = 3 and y = 8

5 0
3 years ago
A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through
Zarrin [17]

ANSWER

x =  4

and

y =   - 1

EXPLANATION

Line s has equation:

y=x-5

And line t has equation:

y =  -  \frac{3}{4}x  + 2

We equate the two equations to get:

x - 5 =  -  \frac{3}{4} x + 2

Multiply through by 4

4x - 20  =  -  \frac{3}{4} x \times 4 + 2 \times 4

4x - 20  =  - 3 x  + 8

4x + 3x   =  8 + 20

7x=28

x =  \frac{28}{7}  = 4

y =  4  - 5 =  - 1

5 0
3 years ago
Read 2 more answers
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