Answer:
The graph of the equation 40.51x+12.45y=666.64 is attached with the answer where the horizontal axis represents the X axis and the vertical axis represents Y axis.
To plot the graph physically just find two points lying on the line. Mark the points on the graph sheet and then join them. This will give you the line represented by the equation.
To find points on the line assume the value of any one variable, substitute it in the equation, then solve the equation to find the value of other variable. For example : assume y = 1; substitute the value of y in the equation;
⇒ 40.51x + 12.45×1 = 666.64
⇒ 40.51x = 666.64 - 12.45
⇒ 40.51x = 654.19
⇒ x = 
⇒ x ≈ 16.149
Therefore point ( 16.149 , 1 ) lie on the graph of the equation.
***Only two points are required to plot this graph just because it represents a straight line, that we can conclude just by observing the equation. If in an equation the power of x is 1 or 0 and power of y is 1 or 0 then only it will represent a straight line in 2-D plane.***
The factors of the equation are
.
Given
Equation;
.
<h3>What is the Factor Theorem?</h3>
The Factor Theorem states that a polynomial function with roots is given by:

Where a is the leading coefficient.
The factors of the equation are;

Hence, the factors of the equation are
.
To know more about factors click the link given below.
brainly.com/question/195124
Answer with Step-by-step explanation:
Let there be d dimes and q quarters
A woman has 21 total coins in her pocket.
⇒ d+q=21 ------(1)
1 dime=$ 0.1
1 quarter=$ 0.25
The total value of her change is $3.90
⇒ 0.1d+0.25q=3.90
Multiplying both sides by 100,we get
10d+25q=390 --------(2)
(2)-10×(1)
10d+25q-10d-10q=390-210
15q=180
Dividing both sides by 15, we get
q=12
Putting value of q in (1),we get
d=9
Hence, Number of dimes=9
and number of quarters=12
Write the number of dimes, then the number of quarters separated by a comma.
9,12
Answer:
It will increase by 24 starfish
Step-by-step explanation:
The population is modeled by the following differential equation:

Which has the following solution:

In which N(0) is the initial population and r is the growth rate.
A population of 2000 starfish has a yearly per capita population growth rate of 0.012.
This means that 
By next year, how do you expect population size to have changed?
This is N(1).



2024 - 2000 = 24
So the correct answer is:
It will increase by 24 starfish
Answer:
I believe 5 units
Step-by-step explanation: I believe it is five units because the other one Chord AB is also 5 units. Plz mark brainliest if correct