Here is my answer. I left the latter question in a. as I don't actually know the answer. Anyway, I hope this is helpful although not complete.
Okay so basically domain =input and range =output. you can never have a negative number underneath the square root sign because it will make the answer imaginary (i), unless you are on that concept. Therefore the range is any number greater than 0. -> all real numbers greater than or = 0
for the range if you input 0 as x you will get -5, so any number you input after 0 will be greater than -5. so range is all real numbers greater than or equal to -5.
Answer:
35 m²
Step-by-step explanation:
Given:
- length of each side of the square compost heap = 1.2 m
- ratio of compost heap side length to hedge length = 2 : 11
⇒ length of hedge = (1.2 ÷ 2) x 11 = 6.6 m
Given:
- length of gate = 2m
- length of gate is 1/4 length of pond
⇒ length of pond = 2 x 4 = 8m
Given:
- area of pond = 28 m²
- length of pond = 8 m (from previous calculation)
⇒ width of pond = 28 ÷ 8 = 3.5 m
⇒ perimeter of pond = 2 x 8 + 2 x 3.5 = 23 m
Given:
- length of pond = 8 m
- length of gate = 2 m
⇒ length of flowerbed = 8 + 2 = 10 m
Given:
- length of flowerbed = 10 m
- perimeter of flowerbed = perimeter of pong = 23 m
⇒ width of flowerbed = [23 - (2 x 10) ] ÷ 2 = 1.5 m
Area of grass = (length of gate x width of pond) + (length of flowerbed x [length of hedge + length of compost heap - width of flowerbed - width of pond])
= (2 x 3.5) + (10 x [6.6 + 1.2 - 1.5 - 3.5])
= 7 + (10 x 2.8)
= 35 m²
Answer:
It represents a function because it consists of x-intercept and y-intercept hence can be plotted.
Answer:
4% of students tried both questions.
Step-by-step explanation:
Given:
Total students taking the exam = 50
Number of students who answered the first question = 16
Number of students who answered the second question = 33
Number of students who din't answer any = 3
To find the percent of students who tried both questions.
Solution:
Total students who answered at least one question =
Number of students who tried both questions can be given as :
⇒
⇒
⇒
Percentage of students who tried both questions can be given as:
⇒
⇒
⇒
Thus, 4% of students tried both questions.