Answer:
The system of inequalities is
The solution in the attached figure
Step-by-step explanation:
<u><em>The question is</em></u>
Write a system of linear inequalities.
Le
x ---> number of scarves knitted per week
y ---> number of knitted sweaters per week
we know that
Mary would like to spend no more than 40 hours per week knitting
The word "No more" means "less than or equal to"
so
----> inequality A
Mary would like to knit at least 5 items per week
The word "at least" means "greater than or equal to"
----> inequality B
Solve the system by graphing
The solution is the triangular shaded area
see the attached figure
Answer:
4240 inches²
Step-by-step explanation:
In order to find the amount of film needed, we have to find the surface area of this cuboid.
Now, let's solve!
Therefore, the answer is 4240 inches².
The point slope form of the line which passes through the points and
is
i.e.,
.
Further explanation:
It is given that line passes through the points and
.
The objective is to determine the point slope form of the line which passes through the points and
.
The options given are as follows:
Option A: 2x-5y=-15
Option B: 2x-5y=-17
Option C: 2x+5y=-15
Option D: 2x+5y=-17
Consider the point as
and
as
.
Slope of a curve is defined as the change in the value of with respect to change in value of
.
The slope of the line is calculated as follows:
To obtain the value of slope substitute the value of in the above equation.
Therefore, the slope of the line is
The general way to express the equation of a line in its point slope form is as follows:
To obtain the point slope form of the equation of the line substitute the value of ,
and
in the above equation.
From the above calculation it is concluded that the point slope form the equation of a line is
Figure 1 (attached in the end) represents the graph of the function .
This implies that the correct option for the point slope form of the line is option C.
Therefore, the point slope form of the line which passes through the points and
is
i.e., option C.
Learn more:
1. A problem to complete the square of quadratic function brainly.com/question/12992613
2. A problem to determine the slope intercept form of a line brainly.com/question/1473992
3. Inverse function brainly.com/question/1632445.
Answer details
Grade: High school
Subject: Mathematics
Chapter: Linear equation
Keywords: Equation, linear equation, slope, intercept, x-intercept, y-intercept, intersect, graph, curve, slope intercept form, line, y=3x/2-3, standard form, point slope form.
