<u><em>Answer:</em></u>
slope =
<u><em>Explanation:</em></u>
<u>The general form of the linear line is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept
<u>The given equation is:</u>
7x + 4y = 20
<u>We will start by putting the equation in the general form:</u>
7x + 4y = 20
4y = -7x + 20
y =
<u>Now, comparing our equation with the general form, we would find that:</u>
m = slope =
c = y-intercept = 5
Hope this helps :)
Answer:
The inequality 7.50c - 350 ≥ 700 can be used.
Step-by-step explanation:
Given that:
Amount spent on materials = $350
Amount the council needs to earn = $700
Selling price per corsage = $7.50
Number of corsages sold = c
Selling price per corsage * Number of corsages sold - amount spent on materials ≥ amount needs to be earned
Hence,
The inequality 7.50c - 350 ≥ 700 can be used.
Step-by-step explanation:
<u>Step 1: Determine the axis of symmetry</u>
The axis of symmetry is middle of the parabola. In this equation we see that at x = -1 we have the vertex and also the middle of the parabola. So our axis of symmetry is x = -1.
<u>Step 2: Determine the vertex</u>
The vertex is the minimum or maximum of a parabola and is bent in a crest form. In this example the vertex is at (-1, -3) because we are using the tip of the graph.
<u>Step 3: Determine the y-intercept</u>
The y-intercept is where the graph intersects with the y-axis. In this example we intersect the y-axis at -4 so that means that our point would be (0, -4) meaning that we intersect x = 0 at -4.
<u>Step 4: Determine if the vertex is a min or max</u>
Looking at the graph we can see that the rest of the red line is beneath the vertex point which means that the vertex is a max.
<u>Step 5: Determine the domain</u>
The domain is the x-values that we are going to be using and we know that we are reaching toward positive and negative inifity which means that we are using all real numbers.
<u>Step 6: Determine the range</u>
The range is the y axis and what y values we are able to reach using the graph. In this example we can see that all y-values above -3 are not being used therefore the range is