Answer:
Step-by-step explanation:
Given is a function of x
When y=0 we get x=0 and infinity
Hence x intercept is 0 and one asymptote is x axis.
When x=0 , y =0
Maxima at x=1, and point of inflection is at x=2
Increasing upto x=1 and then decreases
Graph is enclosed
Option D:
15c ≤ 200
Solution:
Let c be the number of cases of tea bags.
Cost of each tea bag = 15 gold coins
Total gold coins Mad have = 200
<u>Set up an inequality:</u>
Cost of c tea bags = 15 × c = 15c
Mad can buy tea bags at most 200 gold coins.
(At most 200 means 200 is the greater value)
15 × c ≤ 200
15c ≤ 200
Hence option D is the correct answer.
Answer:
y = 10
x = 64
Step-by-step explanation:
the equations containing y are adjacent angles in a parallelogram, meaning that they are supplementary, so we can create an equation:
5y + 2 + 12y + 8 = 180
solve this to get y = 10
the equation for x would be 2x + 5y + 8 = 180 because these angles are also supplementary
solve this to get x = 64
Answer:
7
Step-by-step explanation:
We need to first of all find the volume of the fish tank. The most probable shape the ship tank can have is that of a cuboid.
The volume of a cuboid is l * b * h
And this is equals 30cm * 70cm * 90cm = 189,000 cubic centimeters
The number of fish the tank can contain can be obtained by dividing the volume by the volume occupied by a single fish.
This is 189,000/27000 = 7
4/10^2 = 0.04
which is equal to:
4x10^-2
As there are two digits behind the decimal point up to( and including the 4) thus the 10^-2
And as the digit is a 4 you multiply 10^-2 by 4
