Step-by-step explanation:
For y/x to be as high as possible, y must have the highest possible value and x must have the lowest possible value. (12 and 6)
Hence, y/x < 12/6, which is 2.
For y/x to be as low as possible, y must have the lowest possible value and x must have the highest possible value (10 and 7)
Hence, y/x > 10/7.
Combining the 2 inequalities, we have 10/7 < y/x < 2.
Answer:
Step-by-step explanation:
Given
Required
The polynomial function
If a function has a, b and c as its zeros, the function is:
So, we have:
Open the inner brackets
Expand the difference of two squares
Expand
<u>Sampe : Total</u>
25 : 750
(÷25) (÷25)
1 : 30
( x7) ( x7)
7 : 210
Answer: (a) There is a total of 210 orange cakes made on Monday.
The sample is 5 when corrected to the nearest whole number.
⇒Smallest possible number is 4.5
Total orange cakes baked on Tuesday = 4.5 x 30 = 135
P(Orange Cake) = 135/750 = 9/50
Answer: (b) The probability is 9/50
Step-by-step explanation:
x = number of multiple choice questions
y = number of short response questions
x + y = 15
5x + 10y = 100
=>
x + 2y = 20
let's subtract the first from the second equation :
x + 2y = 20
- x + y = 15
--------------------
0 y = 5
x + y = 15
x + 5 = 15
x = 10
to graph you need to consider both equations as linear functions. and you need to transform them into e.g. a slope intercept form : y = ax + b
a is the slope, b is the y- intercept.
x + y = 15
transforms to
y = -x + 15
this line goes e.g. through the points (0, 15) and (1, 14).
and
x + 2y = 20
transforms to
2y = -x + 20
y = -x/2 + 10
this line goes e.g through (0, 10) and (2, 9).
the crossing point of both lines is the solution and should therefore be the point (10, 5) as calculated above.
