Answer:
7 weeks
Step-by-step explanation:
John saves f(x) = 60+5x
Sarah saves g(x) =x^2 +46
They save the same amount of money
Set the equations equal
60+5x =x^2 +46
Subtract 60 from each side
60+5x -60 =x^2 +46-60
5x= x^2 - 14
Subtract 5x from each side
5x -5x= x^2-5x - 14
0 = x^2-5x - 14
Factor
0 = (x-7) (x+2)
Using the zero product property
x-7=0 x+2 =0
x=7 x=-2
Since we cannot have negative weeks
x=7
Answer:
13 and 15
Step-by-step explanation:
x + (x+1) + (x+2) > 40
3x + 3 > 40
3x > 37
x > 12.34
Therfore x= 13,15 satisfy the equation
Rotations, reflections, translations, and dilations are all different types of transformations. Rotations rotate or turn the shape around the axis. Reflections mirror the shape across the axis. Translations move the shape up, down, left, or right. Dilations make the shape a different size.
Answer:
The area of the larger label is 187.5 square centimeters.
Step-by-step explanation:
If the two bottles are mathematically similar, then the label area is directly proportional to the capacity of the bottle. If we know that a 0.512 L-bottle has a label area of 96 square centimeters, then the label area of a 1-L bottle is determined by this simple rule of three:
The area of the larger label is 187.5 square centimeters.
Answer:
57
Step-by-step explanation:
100 - 43 =
57
