Answer:
g(x) = -4x^2 +(45/2)x +6
Step-by-step explanation:
A function is scaled horizontally by replacing x with x/k, where k is the expansion factor. Here, we want to expand the graph horizontally by a factor of 2, so the new function will be f(x/2).
g(x) = f(x/2) = -16(x/2)^2 +45(x/2) +6
g(x) = -4x^2 +(45/2)x +6
First, write a statement to define your unknown variable. This is technically not essential to solving the problem, but many teachers prefer to see it.
Example: Let w = the manatee's weight in pounds.
Next, decide what the variable needs to be multiplied by. 12% is equal to 0.12. Usually when a problem says "of," it wants you to multiply. Therefore, 12% of the body weight equals 0.12w. Since the problem already says that this is how much the manatee eats every day, that is your answer.
y = 0.12w
Answer: it’s angle FBE
Step-by-step explanation:
Answer:
X+ 6
Y+ 1
Step-by-step explanation:
The image of point A after the reflection along the x-axis the is A(-5,-2).
When this point was translated the new point became A(1, -1). The is means the translation from (-5, -2) to (1, -1) can be given by:
for the x-coordinate
-5 + x = 1
x =6
for the y-coordinate;
-2 + y =-1
y = -1 + 2
= 1
Answers are
x + 6 and
y + 1
Given:
Amount in the savings account = 4300
Each week, Raul pays the dog sitter 30 from his savings account.
To find:
The function, f(x), that is equal to the amount of money in the account after Raul pays the dog sitter each week.
Solution:
Let x be the number of weeks.
Raul pays the dog sitter in 1 week = 30
Raul pays the dog sitter in x week = 30x
Remaining amount = Initial amount - Amount he pays the dog sitter

Therefore, the required function is
.