X = 30
y = 120
30 x 4 = 120
120 + 120 = 240
240 + 120 = 360
Length of room = area / width
Length of room = 56/7 = 8 feet.
She will need 7 + 7 + 8 + 8 = 30 feet of border.
2/3 will not be included in the domain of g/f
Step-by-step explanation:
Given functions are:
We have to calculate (f/g)(x) first
The steps will be as follows:
Putting the values of functions
Domain of g/f:
The function will be undefined if the denominator is zero.
To find the domain we will put the denominator equal to zero
So,
Hence, the function will be undefined on x=2/3 so 2/3 will not be included in the domain of (f/g)(x)
<u>Answer:</u>
2/3 will not be included in the domain of g/f
Keywords: Domain, Operations on Functions
Learn more about functions at:
#LearnwithBrainly
Answer:
y = 2.5x + 5
Step-by-step explanation:
Slope intercept form is y = mx + b, where m is the gradient or slope and b is the y-intercept.
To find the gradient/slope (m), we need to do change in y ÷ change in x.
- Pick two co-ordinates on the line; (0, 5) and (-2, 0)
- Subtract the y co-ordinates; 5 - 0 = 5
- Subtract the x-co-ordinates; 0 - -2 = 2
- Finally, divide 5 by 2; 5 ÷ 2 = 5/2 or 2.5
Now we have y = 2.5x + b. The y-intercept is simply where the line crosses the y axis (it crosses at 0,5). This means the equation of the line is y = 2.5x + 5.
Hope this helps!
Use the equivalents ...
... 1/3 = 2/6
... 9/18 = 3/6
... 1 = 6/6
First we split the mixed numbers into integer parts and fractional parts, adding each separately.
(5 1/3) + (-3 9/18) = (5 +(-3)) +(1/3 +(-9/18))
... = 2 + (2/6 - 3/6) . . . . . . use the equivalents for 1/3 and 9/18 to have a common denominator (6)
... = 2 - 1/6 . . . . . . . . . . . . the sum of the fractional parts is negative
... = (1 + 1) - 1/6 . . . . . . . . here's how we subtract it from the integer part
... = 1 + (6/6 - 1/6)
... = 1 5/6
