Answer: Area = 6m²
Smaller number = 16
Hours = 9.6 h
Step-by-step explanation:
A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.
1) w = x m 2) w = x + 1 m
l = x + 5 m l = x + 5 - 2 = x + 3 m
A₁ = A₂
A = w*l
A₁ = x(x+5) = x² + 5x
A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2
A₁ = A₂
x² + 5x = x² + 3x + 2
5x - 3x = 2
2x = 2
x = 1
A₁ = x(x+5) = 1.6 = 6 m²
The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.
<u> 2 </u> = <u> x </u>
5 40
5x = 80
x = 80/5 = 16
Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?
workers hours
16 3
5 x
↑ ↓ inversely proportional
<u> 5 </u> = <u> 3 </u>
16 x
5x = 16*3
5x = 48
x = 48/5
x = 9.6 h
Answer:
The value of 4 is an input of the function
Step-by-step explanation:
Let
x -----> the independent variable or input value
y ----> the dependent variable or output value
we know that
Looking at the graph
The domain (input values) of the linear function is equal to the interval
[1,∞)
All real numbers greater than or equal to 1
The range (output values) of the linear function is equal to the interval
(-∞,3]
All real numbers less than or equal to 3
therefore
The value of 4 is an input of the function
Answer:
helloooooo
Step-by-step explanation:
(x-3)(3x+7)=0
x-3=0 or 3x+7=0
1. x-3=0
x₁=3
2. 3x+7=0
3x=-7
x₂=-7/3 = -2(1/3)
