We have that
<span>f(x)=3x
g(x)=x</span>²<span>+5
</span>g(x)/f(x)=[x²+5]/[3x]
<span>that new function will exist for all real numbers except the value of zero, value for which it becomes indefinite
</span>
the domain is the interval (-∞,0) U (0,∞)
using a graph tool
see the attached figure
<h3>To find the product of 42.12 and 10^3, move the decimal point in 42.12 3 places to the right because 10^3 has 3 zeros</h3>
<em><u>Solution:</u></em>
Given that,

Which means,

Here, the exponent of 10 is positive ( which is 3)
When the exponent is positive, we have to move the decimal point to right
When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10
Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12
Therefore,

I'm assuming you meant to say f(x) = 3x^2. If that assumption is correct, then the degree is found by multiplying the leading terms from both f(x) and g(x). The leading terms are 3x^2 and 4x^3
3x^2*4x^3 = (3*4)*(x^2*x^3) = 12x^(2+3) = 12x^5
The exponent of that result is 5, so the degree of (f*g)(x) is 5
Answer: 5
Answer:
y = 3x - 14
Step-by-step explanation:
Perpendicular lines will have a opposite reciprocal slope, so the slope will be 3.
Plug in the slope and given point into y = mx + b, then solve for b:
y = mx + b
4 = 3(6) + b
4 = 18 + b
-14 = b
Plug in the slope and y intercept into y = mx + b
y = 3x - 14
So, the equation of the line is y = 3x - 14
It is asking you to move the right formula with its match.
Formula for a cylinder: π*R^2*HSo the first option goes to the first shape.Example:
Radius=5
Length=10
π≈3.14
3.14*5²*10
=725 cm³ for the answer.
Formula for a square: l*w*hSo the 4th option goes with the 2nd shape. Example: l=5 w=5 h=5
(Length * Width * Hieght)
5*5*5=125 for the answer.
Formula for a cone is: 1/3π*r^2*hSo the second option goes to the 3rd shape.
Example: r=3 h=11
π≈3.14

33 is your answer.
Formula for the pyramid would be: 1/3*b*hSo the 3rd option would go to the 4th shape.Example:
b=2 h=10

Rounded: 6.6
Hope this helps!~
(Look at the attachment)