Answer:
y = (6/5) - (7/5) x
Step-by-step explanation:
goal: to rearrange the equation such that it takes the form:
y = f(x) ; where f(x) is an expression in terms of x
Given:
7x+5y=6 subtract 7x from both sides
5y = 6 - 7x (divide both sides by 5)
y = (6-7x) / 5
y = (6/5) - (7/5) x
Answer:
8 cm
Step-by-step explanation:
... BO/OD = AO/OC = 3/1
Written another way, this is ...
... OD : BO = 1 : 3
Now, BD = OD + BO, so we have
... BD : BO = (OD +BO) : BO = (1 +3) : 3 = 4 : 3
That is, BD = 4/3 × BO
... BD = 4/3 × 6 cm = 8 cm
Answer:
(6,3)
Step-by-step explanation:
y=2/3 x - 1
y=-1/2 x + 6
Since both equations are equal to y, we can set them equal
2/3 x - 1 =-1/2 x + 6
We have fractions, so I will multiply by 6 to clear the fractions
6(2/3 x - 1) =(-1/2 x + 6)6
Distribute
4x -6 = -3x +36
Add 3x to each side
4x+3x -6 = -3x+3x +36
7x -6 = 36
Add 6 to each side
7x-6+6 = 36+6
7x = 42
Divide each side by 7
7x/7 = 42/7
x =6
Now we need to find y
y =2/3x -1
y = 2/3(6) -1
y = 4-1
y=3
(6,3)
Answer:
<h2>C. 5/9</h2><h2 />
Step-by-step explanation:
10x = 5.5
<u> -x = 0.5</u>
9x = 5
x = 5/9
therefore, the answer is C. 5/9
(f o g)(x) = 1/(x - 13) +7
domain of the function is all real x except x = 13