Answer:
b + g = 25
b = g + 3
Step-by-step explanation:
Let b = number of boys.
Let g = number of girls.
"Mrs. Smith has a total of 25 kids in her class."
b + g = 25
"There are 3 more boys than there are girls."
b = g + 3
The system of equations is:
b + g = 25
b = g + 3
Answer:
y=3
Step-by-step explanation:
The difference between g(x) and f(x) is that g(x) has a 3 in front being multiplied.
g(x) is the same as saying y, so…
y=3(x+2)2
Because it is multiplying all of the terms by 3, y will be 3 times larger than it would be in f(x). Y is the vertical variable, so it will be stretched vertically by 3.
Alternatively, depending on how your teacher teaches it, 3 is in the location of the “a” value. A is a number that stretches an equation vertically by a factor of itself. Since a=3, the equation is stretched by a factor of 3.
Answer:
f(x) = 4(x -1)^3·(x +2)
Step-by-step explanation:
Each root x=p indicates the function has a factor (x -p). The factor will be repeated according to the multiplicity of the root.
f(x) = a(x -1)^3·(x +2)
f(0) = a(-1)^3·2 = -2a = -8 ⇒ a = 4
The factored form of the equation is ...
f(x) = 4(x -1)^3·(x +2)
