Answer:
Given that distance equals the amount of the rate multiplied by the time, increasing the rate will decrease the amount of time it will take the doctor to reach the hospital by two-thirds since the ration of 50:75 is 2:3.
Step-by-step explanation:
The general formula for distance is:
Distance = rate x time
Given the two scenarios:
150 = 50t and 150 = 75t
t = 3 hours t = 2 hours
So, it is faster by 2/3 or 1 hour for the doctor to take the interstate.
The values of x for which the denominator is equal to zero is +2 or -2-2
<h3 /><h3>What is equation?</h3>
An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given function is: y= ![\frac{(x-1)}{x^{2} -4 }](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-1%29%7D%7Bx%5E%7B2%7D%20-4%20%7D)
As, for the denominator is equal to zero. We have
x²-4=0
x²=4
x=√4
x= ± 2
Thus, by putting either x= +2 or x= -2 in denominator which will gives the denominator equals to zero.
Learn more about equation here:
brainly.com/question/2263981
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A=2xy+2xz+2yz
a=2(xy+xz+yz)
a=2(5.5*3.4+5.5*8.25+3.4*8.25)
a=2(18.7+45.375+28.05)
a=2(92.125)
a=184.25 cm^2
Answer:
x2 • (x2 - 32772)
Step-by-step explanation:
step 1: ((x4) - 22x2) - 32768x2
step 2: Pull out like factors :
x4 - 32772x2 = x2 • (x2 - 32772)
Factoring: x2 - 32772
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 32772 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.