So if 6 dozen cookies needs 3/4 cup of sugar, and we need to know how much sugar is needed to make 4 dozen, then find how much of 6 dozen 4 dozen is.
To do this, put it as a fraction:
4 dozen / 6 dozen, or 4/6, which is 2/3.
Since conveniently it calls for 3/4 cup of sugar, we can multiply that by 2/3, and we'll get 6/12, or 1/2.
So 1/2 cup of sugar is needed for 4 dozen cookies.
The function notation f(x)=2x-4 means replace the x on the right-hand side with the value in parentheses on the left.
For example, f(y)=2y-4; f(4)=2(4)-4=4; f(1)=2(1)-4=-2 and so on.
The same principle applies to g(x), for example
g(2)=4(2^2)-3=13,
g(x+1)=4(x+1)^2-3=4(x^2+2x+1)-3=4x^2+8x+4-3=4x^2+8x+1
and so on.
(g of f)(x) is another way to write g(f(x)), therefore
g(f(x))
=g(2x-4) [because f(x)=2x-4
=4(2x-4)^2-3
=4(4x^2-16x+16)-3
=16x^2-64x+64-3
=16x^2-64x+61
Answer:
Give us 25 points, but we need question !?
The correct answer to the following questions is this:
<span>Abbys school has a track it takes eight laps around the track to run 1 mile.
This means that you have to run 8 laps in order to complete a 1 mile.
1 lap = 1/8 mile
A. What fraction of a mile is two laps around the track? Show your work or explain how you know
Since 1 lap = 1/8 mile, then 2 laps would be 2/8 mile or 1/4 mile.
Abby ran 3 1/8 miles on Monday and 1 3/8 miles on Tuesday.
B. What was the total number of miles every right on Monday and Tuesday? show your work or explain how you know
On Monday, she ran 3 1/8 miles, 1 3/8 miles on Tuesday. The total number of miles is 3 1/8 + 1 3/8 = (3+1) (1/8 + 3/8) = 4 4/8 = 4 1/2 miles.
C. How many total lasted gym run on Monday and Tuesday? Show your work or explain how you know
This seems not clear regarding the gym.
</span>
Answer:
slope-intercept form: y=5x-3 point-slope form: y-7=5*(x-2)
Step-by-step explanation:
Y-y1=m(x-x1)
plug in the values and you get y=5x-3
