y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
(3,750 people
60%=did shop
40%=did not shop =2,500
2,500/40 = x/100
40x = 2,500x100
40x=250,000
x = 250,000/40
x=6,250
6,250 =all people at the mall
6,250 - 2,500 =3,750 (60%)
OR
(2,500 x60)/40 = 3,750
Answer:
3750
Step-by-step explanation:
2500 is 40% of 6250. 6250 - 2500 = 3750 or 60% of the people.
Answer:
Step-by-step explanation:
f(x) = ax+b
passing through the point (6,-1) : when x = 6 f(x) = -1
means : -1 = a (6)+b
passing through the point (-3,-2) : when x = -3 f(x) = -2
means : --2 = a (-3)+b
you have the system :: 6a +b = - 1......(1)
-3a +b = -2........(2)
by (1) : b = -1 - 6a
by (2) : b = -2+3a
so : -2+3a = -1 - 6a
3a+6a =2 -1
9a =1 a =1/9 put the value of a in (1) or (2) : -3(1/9)+b = - 2
-1/3 +b = - 2
b = -2+1/3
b = -5/3
f(x) = 1/9 x - 5/3
A manufacturer wants to use a scale factor of 1.5 to enlarge a window. What will the area of the window be after it is enlarged?
The relationship between linear scale factor and area scale factor can be
used to find the area of the window after it is enlarged.
Reasons:
The length of the window = 4 feet
The width of the window = 8 feet
The scale factor the manufacturer wants to use, LSF = 1.5
Required:
The area of the window after it is enlarged
Solution:
The scale factor of area, Area SF = The square of the length scale factor, LSF²
Therefore;
Area SF = 1.5² = 2.25
Area of the window after it is enlarged = Original area × 2.25
The original area = 8 ft. × 4 ft. = 32 ft.²
Therefore;
Area of the window after it is enlarged = 32 ft.² × 2.25 = 72 ft.²
Learn more about scale factors here: