Y to the power of 2 over 2x to the power of 3
Answer:
Option C (None Of The Above)
Step-by-step explanation:
Given expression =
Lets multiply the numerator and denominator by -1.
Now , lets open the brackets.
But as this expression is not there in the given options , the correct answer will be Option C.
Answer:
See verification below
Step-by-step explanation:
Remember that the Intermediate Value Theorem (IVT) states that if f is a continuous function on [a,b] and f(a)<M<f(b), there exists some c∈[a,b] such that f(c)=M.
Now, to apply the theorem, we have that f(0)=0²+0-1=-1, f(5)=5²+5-1=29, then f(0)=-1<11<29=f(5). Additionally, f is continous since it is a polynomial. Then the IVT applies, and such c exists.
To find, c, solve the quadratic equation f(c)=11. This equation is c²+c-1=11. Rearranging, c²+c-12=0. Factor the expression to get (c+4)(c-3)=0. Then c=-4 or c=3. -4 is not in the interval, then we take c=3. Indeed, f(3)=3²+3-1=9+3-1=11.
Answer:
Step-by-step explanation:
the second one
Answer: The short piece is 29.6 cm long and 32.6 cm long.
Step-by-step explanation:
Let x = length of short pieces , y = lengthof longer pieces.
y=x+3 (i)
As per given,
3x+2y=151 (ii)
Substitute value of y from (i) in (ii), we get
Put value of in (i), we get
y=29.6+3= 32.6
Hence, the short piece is 29.6 cm long and 32.6 cm long.