Answer:
-35/6
Step-by-step explanation:
We need to find the value of x , And the given pair of Rational numbers are equal.
<u>Question</u><u> </u><u>(</u><u>I)</u><u> </u><u>:</u><u>-</u><u> </u>
→ 3/4 = 7/x
→ 7/x = 3/4
→ 1/x = 3/4 × 1/7
→ 1/x = 3/28
→ x = 28/3
<u>Question</u><u> (</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>
→ x/7 = -5/6
→ x = -5/6 × 7
→ x = -35/6
<h3>
• Hence the value of x is -35/6 .</h3>
I believe the answer is C
Answer:
2, 1, 3, 4, 6, 5
Step-by-step explanation:
The rate of change of function f(x) on an interval [a, b] is defined as ...
average rate of change = (f(b) -f(a))/(b -a)
For the function h(x) = 2^-x, this will be ...
arc = (h(b) -h(a))/(b -a) = (2^-b -2^-a)/(b-a) = (2^-a)(2^(a-b) -1)/(b -a)
__
1. For the interval [0, 2], the average rate of change is ...
arc = (2^-0)(2^(0-2) -1)(2 -0) = (1/4 -1)/2 = -3/8 = -0.375
1 goes in the 2nd answer blank
2-6. For the other intervals, it is convenient to let a calculator or spreadsheet compute the values. The average rates of change are shown in the attachment.
The percentage change in perimeter is 100%.
The percentage change in area is 300%
<h3>How to find perimeter and area?</h3>
The perimeter of the sandbox = 2l + 2w
where
Therefore,
perimeter = 2(10) + 2(6)
perimeter = 20 + 12 = 32 ft
The area of the sand box = lw
area = 10 × 6 = 60 ft²
If the length and width are doubled,
length = 2(10) = 20 ft
width = 2(6) = 12 ft
hence,
perimeter = 2(20) + 2(12) = 40 + 24 = 64 ft
area = 12 × 20 = 240 ft²
Therefore,
percentage change in perimeter = 64 - 32 / 32 × 100 = 100%
percentage change in area = 240 - 60 / 60 × 100 = 18000 / 60 = 300%
learn more on perimeter and area here: brainly.com/question/15322533
#SPJ1
They aren't necessarily equal because, for example, 3/2 = 1 remainder 1 and 5/4 = 1 remainder 1 aren't equal because it takes 2 x 1 = 2 + 1 = 3 while 4 x 1 = 4 + 1 = 5. They are the same quotient and remainer, except they aren't used to check if it multiplys back to the same divended.
