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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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Show your work:<br><br> Express 160 pounds (lbs) in kilograms (kg). Round to the nearest hundredths.
andrew-mc [135]

Answer:

160 lbs = 72.57kg

Step-by-step explanation:

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

Each lb has 0.45kg. How many kg are there in 160lbs. So:

1lb - 0.45kg

160 lbs - xkg

x = 0.45*160

x = 72.57 kg

160 lbs = 72.57kg

4 0
3 years ago
Bernardo is converting a fraction A/B, to a percent. Both A and B are whold numbers and not equal to zero. Which expression repr
klasskru [66]
A divided by B produces a decimal fraction.  The percentage is found by mult. this decimal fraction by 100%.  So the correct aswer is C.
4 0
3 years ago
589÷31= ? <br><br> With remainder
dolphi86 [110]

Answer: 19 with no remainder

Step-by-step explanation: I'm sorry, I was not able to do it on paper, but the remainder would be 0. I hope the image below helps you understand how to do long divison.

6 0
3 years ago
Evaluate 5^−4. Write your answer as a fraction in simplest form.<br> Can you please help me on this?
Gre4nikov [31]

Answer:

Step-by-step explanation:

5^-4 remember that a^-b=1/a^b

5^-4=1/5^4=1/625

3 0
3 years ago
3. Choose the equation of the line parallel to the line 5 = -10x - 5y that passes through the point (-2,5). A y=-2x + 1 C y=x-5
storchak [24]

Answer:

y = -2x + 1

Step-by-step explanation:

The equation is in standard form, first, we need to convert it to slope-intercept form.

5 = -10x - 5y

5 + 10x = -5y

Divide both sides by -5 to isolate y variable.

y = -2x - 1

If the line is parallel, the slope remains the same.

To find the y-intercept, you need to plug the values of x and y into the equation, which is y = 2x + b

5 = -2(-2) + b

5 = 4 + b

1 = b

The equation is -2x + 1

5 0
3 years ago
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