Answer:
y = 1/3x + 4 1/3
Step-by-step explanation:
2x - 6y = 12
First find the slope
Solve for y
Subtract 2x
2x - 6y -2x= 12-2x
-6y = -2x+12
Divide by -6
-6y/-6 =-2x/-6 +12/-6
y = 1/3 x -2
The slope is 1/3
Parallel lines have the same slope
Using the slope intercept form y = mx+b where m is the slope and b is the y intercept
y = 1/3x +b
And substituting in the point
4 = 1/3 (-1) +b
4 = -1/3 +b
Add 1/3 to each side
4 + 1/3 = b
y = 1/3x + 4 1/3
Answer:
Area = 1808.64 cm
Step-by-step explanation:
Circumference of a circle = 2πr
Circumference = 150.72
π = 3.14
r = radius
150.72 = 2 x 3.14 x r
150.72 = 6.28 r
r = 150.72/6.28
r = 24cm
Radius = 24
Area of a circle = πr²
Area = 3.14 x 24²
Area = 3.14 x 576
Area =1808.64 cm
ANSWER
The restrictions are

EXPLANATION
We were given the rational function,

The function is defined for all values of a, except

This has become a quadratic trinomial, so we need to split the middle term.
We do that by multiplying the coefficient of
which is 5 by the constant term which is 3. This gives us 15.
The factors of 15 that adds up to 16 are 1 and 15.
We use these factors to split the middle term.

We now factor to get,

We factor further to get,

This implies that,

This gives

These are the restrictions.
Answer:the correct answer is ab,ef
Step-by-step explanation:
1,2,5,6 just took test
Answer:

Step-by-step explanation:
<u>Composite Function
</u>
Given f(x) and h(x) real functions, the composite function named
is defined as:

It can be found by substituting h into f.
We are given the functions:


It's required to find 
As defined above:

Thus:

Find h(2):

h(2)=0
Now:

