Answer:
slope 3/5
Step-by-step explanation:
3x − 5y − 6 = 0
To find the slope, we want to solve for y
(y = mx+b slope intercept form of the equation(
Add 5y to each side
3x − 5y+5y − 6 = 0+5y
3x-6 = 5y
Divide by 5
3/5x -6/5 = 5y/5
3/5 x -6/5 = y
The slope is 3/5 and the y intercept is -6/5
Answer:
The total cost function of having a party catered is f(p) = 65 + 9.50 p
Step-by-step explanation:
The equipment fee of the caterer = $65
The charge per plate = $9.50
Let, Total number of people invited in the party = p
So, the cost of plates of p people = Number of people x Per plate cost
= p x $9.50
Now, Total Catering Cost = Equipment Fee + Cost of all plates
or, Total cost = $65 + p x $9.50
Hence, the total cost function of having a party catered
is f(p) = 65 + 9.50 p.
Since
is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.
So, if we think of 15 as 9+6, we have

Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).
Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.
Answer:
Table N 4
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
<em>Verify the table 4</em>
For x=1, y=2
so
y/x=2/1=2
For x=2, y=4
so
y/x=4/2=2
For x=3, y=6
so
y/x=6/3=2
therefore
The constant of proportionality k is equal to 2 and the equation is equal to
y=2x
The table 4 represent a direct variation, therefore is a possible ratio table for ingredients X and Y
Answer:
Step-by-step explanation:
Given that the mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days.
Let X be the incubation time for a type of fertilized egg kept at a certain temperature is 25 days.
X is N(25, 1)
a) Normal curve is in the attached file
b) the probability that a randomly selected fertilized egg hatches in less than 23 days
=
we convert x into Z score and use std normal distn table to find probability

i.e. we can say only 2.5% proportion will hatch in less than 23 days.