(10(1-(1/2)^5)/1-(1/2) =
20(1-1/32)
=155/8
Answer:
A shaded region below a dashed line (y <3x-4)
Step-by-step explanation:
For linear inequalities, we have shaded regions below or above a dashed or solid or continuous line represented by an inequality.
Their graphs are called region graphs. Those regions are only enclosed ones if before the sign of inequality it is included both variables. Like x²+y²<1, |x+y|<1, etc.
In this case what we have here is an open region, as the graph below shows.
3x-y>4 =-y>4-3x∴y<3x-4
Setting a value for x
3x-4=0
3x=4
3x/3=4/3
x=4/3 (slope)
(4/3,0)
Answer:
length = 8
width = 4
Step-by-step explanation:
Area = length x breadth
Let x represent the width
length = x + 4
32 = x × (x + 4)
32 = x² + 4x
x² + 4x - 32 = 0
solving using quadratic equation =
(x² - 4x) -32 + 8x
x = 4 or -8
since width cannot be a negative number, we would use 4
Answer:125=n
Step-by-step explanation: 375 divided by 3 is 125
75% of x = 63
<span>75/100 * x = 63 </span>
<span>So dividing by 75 / 100 on both sides </span>
<span>x = 63 / 75 / 100 </span>
<span>x = 63*100/75 </span>
<span>x = 84 </span>
<span>The number is 84 </span>
<span>So 75% of 84 = 63! </span>
<span>Hope that helps!</span>
