Answer:
The graph of g(x) is a vertical translation of f(x). Although both have the same x coordinates but different y coordinates.
The graph of g is a <u>vertical</u><em> </em>translation of the graph of f <u>12</u> units <u>downward</u>.
Step-by-step explanation:
The equation y=f(x)+k represents that when k is negative, the graph moves downward.
Answer:
and 
Step-by-step explanation:
We must solve the quadratic equation to find the values of x that satisfy equality
Subtract 24 on both sides of equality
Now we factor the quadratic equation
Identify two numbers that when you add them you get as a result 2 and when you multiply them you get as a result -24
The numbers sought are: 6 and -4
So the factors are:
Finally note that the solutions are:
and
<span>Is it possible for a composite number to have more than one prime factorization?The Answer is Yes. Prime factors are factors of a composite number that are indivisible except by the number 1 or the number itself. it is possible especially for very large numbers. 2&3. No, because as mentioned previously, the default prime factors of numbers are 1</span>
Answer: 760 mm thick
Step-by-step explanation: Because 10 cubed equals 1000, just multiply .76 by 1000 and you get your answer.
F(x)=7-3x g(x)=3x-7
First let’s solve for f(1)
f(1)= 7-3(1)
f(1)= 7-3
f(1)= 4 *we will save this for later
Let’s now solve for g(1)
g(1)= 3(1)-7
g(1)= 3-7
g(1)= -4
Now we can find f(1) + g(1)
f(1) =4 and g(1)= -4
4+(-4) = 0
