Answer:
C) cannot be simplified
<u>Explanation</u>
We want to simplify the radicals:
![\sqrt[3]{7} - \sqrt[4]{7}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B7%7D%20%20-%20%20%5Csqrt%5B4%5D%7B7%7D%20)
We can rewrite this as exponents:
Since the base are the same but are subtracting, we do not have any rule of indices for subtracting unlike indices .
Therefore the expression cannot be simplified further.
9514 1404 393
Answer:
b. 255.5 to 499.5
Step-by-step explanation:
The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.
first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B
The third quartile is the average of numbers 7 and 8:
third quartile = (468 +531)/2 = 499.5 . . . . . also matches answer choice B
The middle 50% is 255.5 to 499.5.
_____
When I put the numbers in order, I get ...
198 230 ^ 281 246 376 426 468 ^ 531 540
^ indicates that the quartile here is the average of the adjacent numbers
bold indicates the median (2nd quartile)
<span>2.5 – 1.2x < 6.5 – 3.2x
-1.2x + 3.2x < 6.5 - 2.5
3.2x - 1.2x < 4
2x < 4
x < 4/2
x < 2</span>
Answer: a=17 mm length
b=37 mm width
Step-by-step explanation:
P=2a+2b
a -length
b-width
b=2a+3
------------------
108mm=2a+2(2a+3)
108=6a+6
6a=102
a=17 mm
b=17*2+3
b=34+3
b=37 mm
The Correct option is ~ B
Let's find the slope (m) using points (2 , 1) and (0 , -3)
hence, slope = 2
now, by Observing the given graph we can infer that the given line cuts the y - axis at point (0 , -3), so value of y - intercept (c) = - 3
[ y - coordinate of a point when x - coordinate is equal to 0 is the value of y - intercept of a line ]
And, we know the general equation of line in slope - intercept form is ~
now, let's plug the value of slope (m) and y - intercept (c) in the general equation to find the equation of line in slope intercept form ~
