Let w = width
then
5w-3 = length
w(5w-3) = 14
5w^2-3w = 14
5w^2-3w-14=0
(5w+7)(w-2) = 0
w = {-7/5, 2}
throw out the negative solution leaving
w = 2 centimeters
length:
5w-3 =5(2)-3 =10-3 = 7 centimeters
Answer:
12/49
Step-by-step explanation:
First write 2 1/3 as a improper fraction, to do that, first multiply the 2 by the denominator, then add it with the 1, which will result in 7/3
when doing division of fraction you have to remember this, KFG
KFG: Keep Flip Change
you keep the first number or fraction, which is 4/7
then you flip the sign, so you change division in to multiplication
after that, you change or write the reciprocal of the second number or fraction, so 7/3 will be 3/7
Now the equation is
4/7 times 3/7, which is 12/49
Answer:
Step-by-step explanation:
part A)
given

so y in terms of x would be

part b)
in order to find intervals of function, we determine the intervals where the function has a positive first derivative . To find intervals, first we find the critical values, or points at which the first derivative of the function is equal to zero. For the given function the intervals would be
put zero in equation


put 1

put 2

put 3

hence we can see that the interval is from zero to positive infinity
(PINF)
Answer:

Step-by-step explanation:
-This is a binomial probability distribution problem.
-Given that p=0.86 and n=11, the sample variance can be calculated using the formula:

#We substitute the given parameters in the formula to solve for variance:

Hence, the sample variance is 1.32
Answer:
y - 2 = 3(x - 5)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (5, 2), thus
y - 2 = 3(x - 5) ← equation of line