Answer:
In first equation if we put the value of x and y (x=2,y=2)than,
3x+y=8
3×x+y=8
3×2+2=8
6+2=8
8=8
in second equation the value of x=2,y=1
x2+xy=6
x2+x×y=6
4+2×1=6
4+2=6
6=6
Answer:
Step-by-step explanation:
given a point 
the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form 
, the y intercept is b and the x intercept is 
.
So, in our case, the y intercept is 
and the x intercept is 
.
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph 
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at 
. Using the properties of derivatives, we get
. So evaluated at we get 
Replacing the values in our previous findings we get that the y intercept is
The x intercept is
The triangle in consideration has height 
and base 
. So the area is
So regardless of the point we take on the graph, the area of the triangle is always 2.
Answer:
His sales that week were $2,160.
Step-by-step explanation:
First, you have to subtract $324 from the amount he earned that week, to find the 5% he got from sales:
$432-$324=$108
Now, you know that he received $108 that represent 5% of his sales and you can use a rule of three to find the amount that represents 100% which would be his sales that week:
5% → 108
100% → x
x=(100*108)/5=2160
According to this, the answer is that his sales that week were $2,160.
Answer:
2.090909...
Step-by-step explanation:
Write as improper fraction and then divide
23/11=2.090909...
The triangle: 4*4/2=8
The square: 4²=16
16+8=24
