Answer:
To determine what is the difference between "6 + A" and "6 x A", the logic of the proposed mathematical operations must be explained:
In "6 + A", the value A is added to the initial value 6. Thus, for example, if A were worth 10, to the initial value 6 10 units are added, with which the final value is 16.
In contrast, in "6 x A", the initial value 6 is multiplied by as many times as the value A indicates. Therefore, continuing with the value of A as 10, in this case 6 would be multiplied by 10 times, giving a final value of 60.
Answer:
Step-by-step explanation:
<h3>Garden A</h3>
<u>Rectangle with sides</u>
- Width ⇒ 2x - 3 feet
- Length ⇒ 5(2x - 3) = 10x - 15
<u>Perimeter is</u>
- 2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36
<h3>Garden B</h3>
<u>Triangle with sides</u>
<u>Perimeter is</u>
- 5x + 5 + 4x + 2 + 8x - 8 = 17x - 1
<h3>Statement 3</h3>
<u>The difference in perimeters is the difference is fencing:</u>
- 24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35
Since it is different from 7x - 37 the statement is FALSE
<h3>Statement 4</h3>
Garden A is surrounded by a path of 2.5 ft wide
It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft
<u>So the perimeter is going to be:</u>
This statement is TRUE
Answer: C. Y = 5x + 5
Step-by-step explanation:
We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. <em>See attached for a visual</em>.
First, we will find our slope. We will use 
for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.
-> Slope = 5
Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.
-> Y-intercept = 5
Lastly, we will write our equation and decide on an answer.
y = <em>m</em>x + <em>b</em>
y = (5)x + (5)
Y = 5x + 5
C. Y = 5x + 5
