Answer:
Step-by-step explanation:
we know that the total time of the show is 30 minutes.
commercial part = 3x+2
entertainment part = y
also we know that y = 3x +2
y + 3x+2 = 30
we can also say that
2(3(x) +2) = 30
so then
6x +4 = 30
6x = 26
x = 4
4 is the time in minutes for commercials
Answer:
y = 7x - 12
Step-by-step explanation:
Parallel lines have same slope.
y = mx + b
m - > slope & b -> y-intercept
y = 7x
So, slope = 7 & (2 , 2)
y - y1 = m(x -x1)
y - 2 = 7(x - 2)
y - 2 = 7x - 14
y = 7x - 14 + 2
y = 7x - 12
Answer:
72 inch²
Step-by-step explanation:
Rectangular classroom
Length=36ft
Width=32ft
scale drawing length = 9 inches
Scale drawing width=x
Ratio of the length to the scale drawing length = 36/9
Ratio of the width to the scale drawing width=32/x
To find x
36/9=32/x
Cross product
36x=32*9
x=288/36
=8
x=8
Area of a rectangle= length × width
Length=9 inches
Width=8 inches
Area of the rectangular classroom= 9 inches × 8 inches
=72 inch²
The image of the number line is missing, so i have attached it.
Answer:
5 metres
Step-by-step explanation:
From the attached image, we can see that point A is at -2.5 while point B is at 2.5.
Thus,distance between points A and B is; 2.5 - (-2.5). Where -2.5 is the additive inverse of 2.5.
Minus outside bracket when multiplied by minus inside the bracket will yield a positive sign.. Thus: distance = 2.5 + 2.5 = 5 m
Answer:
The answer to your question is x³ + 11² + 30x
Step-by-step explanation:
Data
x = 0; x = - 5; x = 6
Process
1.- Equal the zeros to zero
x₁ = 0; x₂ + 5 = 0; x₃ + 6 = 0
2.- Multiply the results
x(x + 5)(x + 6) = x [ x² + 6x + 5x + 30]
3.- Simplify
= x [ x² + 11x + 30]
4.- Result
= x³ + 11² + 30x
