Let f(x)=4x+1 and g(x)=3/4. evaluate each expression symbolically.a) (f+g)(4)
b) (f-g)(1/4)
c) (fg)(5)
d) (f/g)(0)
Answers
Answer:
a. 20 b. 1 13/16 c. 78 3/4 d. undefined
Step-by-step explanation:
since f(x)=4x+1 and g(x)=3x/4
a) (f+g)(4)
= f(4) + g(4)
f(4) = 4(4)+1 = 17
g(4) = 3(4)/4 = 3
therefore
(f+g)(4) = 17 + 3 = 20
b) (f-g)(1/4)
= f(1/4) - g(1/4)
f(1/4) = 4(1/4)+1 = 2
g(1/4) = 3(1/4)/4 = 3/16
therefore
(f-g)(1/4) = 2 - 3/16 = 29/16 = 1 13/16
c) (fg)(5)
= f(5) x g(5)
f(5) = 4(5)+1 = 21
g(5) = 3(5)/4 = 15/4
therefore
(fg)(5) = 21 x 15/4 = 315/4 = 78 3/4
d) (f/g)(0)
= f(0) / g(0)
f(0) = 4(0)+1 = 1
g(0) = 3(0)/4 = 0
therefore
(f/g)(0) = 1 / 0 = undefined
Related Questions
Increase 43,271.53 by six hundreths
What is the next term in the geometric sequence -1 -2 -4
Tickets to the zoo cost $14 for adults and $10 for children. A group of 12 people went to the zoo, and the tickets cost $140. The system of equations models this situation, where x is the number of adults and y is the number of children.x+y=12 14x+10y=140 How many adults and how many children were in the group? A. 5 adults and 7 children B. 6 adults and 6 children C. 7 adults and 5 children D. 8 adults and 4 children
The number of frogs that the princess has kissed at most 4
Answers
Answer:
The problem,
Two friends decided to split the money spent on the lunch. If the lunch costs $2,700, how much money does each have to contribute?
involves division to give the solution $1,350.
Step-by-step explanation:
We are required to write a problem which involves division equation and the solution should be 1,350.
Let us consider the problem.
Two friends decided to split the money spent on the lunch. If the lunch costs $2,700, how much money does each have to contribute?
So, the solution is given by,
Total amount of the lunch = $2,700
Since the money is divided among both the friends.
So, the money each person have to contribute = = $1,350.
Thus, each person have to contribute $1,350.
Write in algebraic expression
Answers
The quotient of m and 7 is equal to
- Let the variable be m.
What is quotient?
In Mathematics, quotient can be defined as a terminology that is used to express or represent the division of two (2) variables or numbers.
Thus, a quotient is the division of a number or variable (quantity) by another number.
Writing an algebraic expression.
Translating the word problem into an algebraic expression, we have;
The quotient of m and 7:
Read more on quotient here: brainly.com/question/11418015
reading her science book?
Answers
Final answer:
Pamela spent 4/15 of an hour solving math problems and 2/5 of an hour reading her science book.
Explanation:
To find the fraction of the hour Pamela spent on each activity, we need to multiply the fraction of the overall time she spent doing homework by the fraction of that time she spent on each specific activity.
- Math: 2/3 (total homework time) * 2/5 (fraction of homework time spent on math) = 4/15 of an hour.
- Science: 2/3 (total homework time) * 3/5 (fraction of homework time spent on science) = 6/15 or 2/5 of an hour.
So, Pamela spent 4/15 of an hour solving math problems and 2/5 of an hour reading her science book.
Learn more about Fractions here:
#SPJ2
Answers
because 13 - 9 is 4
then 4 x 7 is 28
then 4 + 3 is 7
so 28 / 7 is 4
so (13-9)*7 so 13-9 is 4.
so 4*7= 28
and then you have to do 4+3 = 7
so 28/7 will be 4 you the answer is 4.
Answers
There are five pairs of numbers that multiply to 72:
2 * 36 = 72
3 * 24 = 72
4 * 18 = 72
6 * 12 = 72
8 * 9 = 72
To find two numbers that multiply to 72, you can factorize 72 into its prime factors and then look for pairs of factors. The prime factorization of 72 is:
Now, we can form pairs of factors:
2 * 36
3 * 24
4 * 18
6 * 12
8 * 9
Thus, the requried pairs that multiply to 72 are shown above.
Learn more about multiplication here:
#SPJ6
Answers
Answer:
the coefficient is 3, the variable is y and the exponent is 1.
Step-by-step explanation:
the coefficient is always the number, it can stand alone, or have multiple variables attached. The variable is the letter in an equation, they also can stand alone or follow a coefficient. The exponent is not shown, but if you were to multiply y once, it would equal y.
Hope this helps.