Answer:
we have
f(x)=x-6f(x)=x−6 -----> equation A
This is a linear equation with slope m=1m=1 and a y-intercept equal to -6−6
g(x)=x+6g(x)=x+6 -----> equation B
This is a linear equation with slope m=1m=1 and a y-intercept equal to 66
The function f(x) and g(x) are parallel lines
we know that
h(x)=f(x)+g(x)h(x)=f(x)+g(x)
Substitute
h(x)=x-6+x+6h(x)=x−6+x+6
h(x)=2xh(x)=2x
This is a linear equation with slope m=2m=2 that passes through the origin ( represent a direct variation)
Using a graphing tool
see the attached figure
Answer:
The mean increased
Step-by-step explanation:
The mean is the average, add all numbers and divide by total amount.
Old mean: 6
New mean:8
<span>For this case, what you must do is find the area of the two rectangles shown in the figure.</span>
<span> We have then:</span>
<span> Rectangle 1:</span>
<span> A1 = (40) * (18)</span>
<span> A1 = 720</span>
<span> Rectangle 2:</span>
<span> A2 = (24-18) * (40-30)</span>
<span> A2 = (6) * (10)</span>
<span> A2 = 60</span>
<span> The area of the composite figure is:</span>
<span> A = A1 + A2</span>
<span> A = 720 + 60</span>
<span> A = 780 feet ^ 2</span>
<span> Answer:</span>
<span><span><span><span> the area of the figure is:</span></span></span></span>
<span><span><span> <span>C. 780 ft ^ 2</span></span>
</span></span>
<span /><span />
Answer:
B
Step-by-step explanation:
Answer:
a=−3 and b=1
Step-by-step explanation: