Let's assume
length of rectangle is L
width of rectangle is W
the width of a rectangle is 3 meters more than one-fourth its length
so,
the perimeter is 10 meters more than twice its length
we know that
perimeter =2(L+W)
so, we get
now, we can simplify it
subtract both sides by 2L
now, we can find L
subtract both sides 3
multiply both sides by 4
so,
length of rectangle is 8 meter
width of rectangle is 5 meter ............Answer
Answer: 50x+30y+5z= 690
40x+15y+5z= 620
45x+10y+5z= 510
Step-by-step explanation: The first equation to find units of wood, the second is for the units of fabric, and the third is for the units of stuffing.
I think the equation you're looking for may be y = -7.5 + 2.5x
hope this helps!
Answer:
Domain: (-∞, ∞)
Range: (0,∞)
Step-by-step explanation:
Exponential functions are curves which approach a horizontal asymptote usually at y=0 or the x-axis unless a value has been added to it. If it has, the curve shifts. This function has addition on the exponent but not to the whole function so it does not change the asymptote. Its y - values remain between 0 and ∞. This is the range, the set of y values.
However, the range of exponentials can change based on the leading coefficient. If it is negative the graph flips upside down and its range goes to -∞. This doesn't have it either.
The addition to 1 on the exponent shifts the function to the left but doesn't change the range.
In exponential functions, the x values are usually not affected and all are included in the function. Even though it shifts, the domain doesn't change either. Its domain is (-∞, ∞).
Domain: (-∞, ∞)
Range: (0,∞)
Answer:
$33
Step-by-step explanation:
The travel allowance that Helen Ming receives is $220
The income tax rate is 
The amount she has to pay is calculated by multiplying the tax rate by the travel allowance.
We simplify to obtain
Therefore Helen Ming has to pay $33 form her benefit.
