Answer:
I guess that you want to know the transformations:
We start with:
f(x) = y = 4*x + 3
a)the transformed function is:
f(x) = y = -4*x - 3
So the sign changed.
This means that we go from (x, y) to (x, - y)
This is a reflection over the x-axis which changes the sin of the y component.
b) Now we go to f(x) = 4*x + 3
So the coefficient in the leading term changed.
This is a horizontal contraction:
A horizontal contraction of factor K for the function g(x) is: g(K*x)
In our case, we have:
f(K*x) = 4*(k*x) + 3 = x + 3
4*k*x = x
4*k = 1
k = 1/4
Then the transformation is an horizontal contraction of scale factor 1/4.
Answer:
110 + 10x ; 40x
4
Step-by-step explanation:
Given that:
For every visit to Arts museum:
Scenario 1:
Parking fee = $15
Admission fee = $25
Total amount for scenario 1:
If number of visits = x
Total cost = $(15 + 25) × number of visits
Total cost : $40x
With membership :
Price of membership = $110 (one time payment)
Parking fee = $10
Admission fee = $0
Let number of visits = x
Total cost :
Membership fee + (parking fee × number of visits)
$110 + ($10 * x)
= 110 + 10x
B) number of visits for which member cost is less than non-member cost :
Member cost = 110 + 10x
Non member cost = 40x
110 + 10x < 40x
10x - 40x < 110
-30x < 110
x > 3.67
Hence x = 4
Number of visits for which member cost is greater than non member cost is 4
Answer:
Lana can put 24 drops of bubble bath for her sister
Step-by-step explanation:
If package says to put in a drop of bubble bath for every half gallon of water in the bath tub.
If the bathtub can hold 12 gallons of water
There are 12÷1/2 gallon
=12×2/1
=24
It means there are 24 half gallons in the bathtub
If every half gallon of water requires a drop of the bubble bath
Then,
24 half gallons of water requires 24 drops of the bubble bath
You should get it now from my previous answer.
But to apply it.
9 - 8b + 6b
9 + (-8b + 6b) <- Collect like bases (b)
9 + (-2b)
9 - 2b
Therefore it simplified is 9 - 2b
Answer:
6 times
Step-by-step explanation:
Turn that fraction into a decimal. 3/4=0.75
Divide!
4.5/0.75=6
