Given:
f(1) = 1 and f(-3) = 17
To find:
The lines function f.
Solution:
If f(a) = b, it means the function f passes through (a,b).
Here, f(1) = 1, it means the function f passes through (1,1).
f(-3) = 17, it means the function f passes through (-3,17).
If a linear function passes through two point
, then the equation of line is

The linear function f passes through (1,1) amd (-3,17). So, the equation of linear function is




Add 1 on both sides.


Put y=f(x), to write in function notation.

Therefore, required lines function is
.
Convert 3 6/2 to an improper fraction so: 12/2
convert 2 4/5 to 14/5
multiply the numerators of the improper fractions so 12*14, which is 168.
multiple the denominators so 2*5, which is 10.
the new fraction is 168/10, so you divide 168 divided by 10, which is 16.8, or 16 4/5.
- Key -
Black tiles = x
Purple tiles = x+50
Yellow tiles = 5x
-
Total = x + x+50 + 5x = 400
⇒ 7x + 50 = 400
⇒ 7x = 400-50 = 350
⇒ x = 350/7
⇒ x = 50
Black tiles = 50
Purple tiles = 50+50 = 100
Yellow tiles = 5 x 50 = 250
Answer:
0 ≤y ≤ 60
Step-by-step explanation:
The range is values the y can take
y goes from 0 to 60
10 ≤y ≤ 60