Answer:
No x-intercept/Zero
Step-by-step explanation:
f(x)=3x(3/4)x-4
To find x-intercept/zero, substitute f(x)=0
0=3x(3/4)x-4
To raise a fraction to a power, raise the numerator and denominator to that power
0=3x 3 x-4/4 x-4
Calculate the product
0=3 x-3/4 x-4
Since the right-hand side is always positive, the statement is false for any value of x
Since there is no solution for f(x)=0, there is no x-intercept/Zero
Answer:
$1.22 per pair
The error is the contractor didnt take into account that there are 5 dozen gloves not 5 pairs of gloves. He calculated $73.20/5, which gave him $14.64.
Step-by-step explanation:
1 dozen = 12
5 dozen = 12 * 5 = 60
Therefore, you have 60 pairs of gloves.
He purchased all 60 pairs of gloves for $73.20.
73.20/60 = $1.22
This is how much one pair of gloves cost.
The root
can be converted into the power
. Therefore we can rewrite the problem as
and then follow the exponent rules about a power to a power, multiplying 1/2 and 3/4 together.
Thus the problem becomes
, which then can be turned into
![\sqrt[8]{10} ^{3x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B8%5D%7B10%7D%20%5E%7B3x%7D)
, making the last option our answer.
