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ikadub [295]
2 years ago
6

For the functions f(x) and g(x), determine the domain of (f ∙ g)(x) (the product of f and g).

Mathematics
1 answer:
Luba_88 [7]2 years ago
7 0

Answer: Domain: (-∞, 0) U (0, ∞)

Step-by-step explanation:

\frac{12}{x} *-8x^{3}

=-96x^2

Domain: (-∞, 0) U (0, ∞)

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A car is traveling at 47 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answe
Amiraneli [1.4K]

Answer:

3676.44 rad/min

Step-by-step explanation:

It is a problem about the angular speed of the car's wheel.

You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:

\omega=\frac{v}{r}    ( 1 )

v: speed of the car = tangential speed of the wheels = 47mph

r: radius of the wheels = 27/2 in = 13.5 in

you change the units of the speed:

47mph*\frac{63360in}{1mille}*\frac{1h}{60min}=49632\frac{in}{min}

next, you replace the values of v and r in the equation (1):

\omega=\frac{v}{r}=\frac{49632in/min}{13.5in}=3676.44\frac{rad}{min}

Then, the car's tires are turning with an angular speed of 3676.44 rad/min

8 0
3 years ago
Which equation in point-slope form contains the point (4, –1) and has slope 3?
Andrew [12]

Answer:

y+1=3(x-4)

Step-by-step explanation:

Hi there!

We are given a slope of 3 and a point (4,-1).

We need to find the equation of the line in point-slope form

Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point

We have all of the needed information to substitute into the formula

First, let's label the values of everything to avoid any confusion

m=3

x1=4

y1=-1

now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*

y--1=3(x-4)

simplify

y+1=3(x-4)

That's it!

Hope this helps :)

4 0
3 years ago
21+4(3^2-5)<br><br>PLEASE ANSWER FAST​
lana [24]

37

Step-by-step explanation:

21 + 16

HOPE THIS HELPS!

8 0
3 years ago
Read 2 more answers
PLS HELP PLS
mariarad [96]

The scale factor from Figure A to Figure B is 4

<h3>How to determine the scale factor from Figure A to Figure B?</h3>

From the question, we have the following statement:

Figure B is a scaled copy of Figure A.

The corresponding side lengths of figure A and figure B are:

Figure A = 10

Figure B = 40

The scale factor from Figure A to Figure B is then calculated as:

Scale factor = Figure B/Figure A

Substitute the known values in the above equation

Scale factor = 40/10

Evaluate the quotient

Scale factor = 4

Hence, the scale factor from Figure A to Figure B is 4

Read more about scale factor at

brainly.com/question/24968688

#SPJ1

8 0
1 year ago
A 4-kilogram ham costs $16/kg. Find the cost per pound.
dem82 [27]

1kg is 2.20462 pounds
So 4kgs are 8.81849
Divided by $16 would equal 0.551155625
Therefore Each pound will cost 0.551155625
4 0
3 years ago
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