Answer:
a) The number is:
0.73652913
There are 8 digits after the decimal point, then we need to multiply and divide by: 100,000,000 (8 zeros at the right of the 1)
0.73652913 = 0.73652913*(100,000,000)/(100,000,000) = 73,652,913/100,000,000
So we wrote this as a fraction of two integers.
b) The number is:
0.746746...
Where the periodic part is 746.
the periodic part has 3 digits, then we can do:
0.746746...*1000 = 746.746746....
Now we can subtract the number itself to get:
746.746746... - 0.746746... = 746
And what we did is:
N*1000 - N = N*999
Then to transform the number into a quotient of integers, we can multiply and divide by 999.
0.746746... = 0.746746...*(999)/(999) = 746/999
That is a quotient of two integers, so 0.746746... is a rational number.
Using the slope-intercept form, the slope is 3 3 . To find an equation that is parallel<span>to </span>y=3x−2 y<span> = 3 x - </span>2<span> , the slopes must be equal. Using the slope of the equation, find the </span>parallel line<span> using the point-slope formula. Find the value of b b using the formula for the equation of a </span>line<span>.</span>
Answer:
x = 2.5 inches. Or
x = 5/2
Step-by-step explanation:
Length: 7 + 2x
Width: 5 + 2x
Note that you have to add x at each end of the picture and onto each part of the width.
The entire area is 120 square inches.
Formula
L*W = Area
(2x + 7)(2x + 5) = 120
Solution
4x^2 + 10x + 14x + 35 = 120 Subtract 120 from both sides. Add xs
4x^2 + 24x + 35 - 120 = 0
4x^2 + 24x - 85 = 0 Factor
(2x + 17)(2x - 5)
2x + 17 has no meaning. It will give - 8.5 which is not possible.
2x - 5 =0
2x = 5 Divide by 2
x = 5/2
x = 2.5
Note: I don't know which one the computer is looking for.
Y + 4x < 8
y < -4x + 8
2 points that satisfy this are (0,8) and (2,0)....and those happen to be ur x and y intercepts (where the line crosses the x and y axis)
graph...so go ahead and plot ur x and y intercepts (0,8) and (2,0).....ur slope is - 4.....so start at ur y int (0,8) and go down 4 spaces, and to the right 1...plot that point, then go down 4 spaces and to the right 1, then plot that point...keep doing this and u will have ur line...u should have crossed the x axis at (0,2)......ur line will be a dashed line since the problem has no equal sign.... the shading will go below the line because it is less then.
y - 3 > = 1/2x
y > = 1/2x + 3
2 points that satisfy this are : (0,3) and (-6,0)...ur x and y intercepts
graph : plot ur intercepts (0,3) and (-6,0)....u have a slope of 1/2...so start at ur x intercept (-6,0) and go up 1 space, and to the right 2 spaces, plot that point...then go up 1 and to the right 2, plot that point...keep doing this and u will cross the y axis at (0,3)....this line will be a solid line....the shading will go above the line.
