Answer:
vertex form : y=(x-2)^2+9
Step-by-step explanation:
To convert a parabola from standard form y=x^2-4x+13 to vertex form, we complete the square.
first, complete the square using the x-terms, use the constant term to adjust and make a perfect square.
y= x^2-4x+4 + 9
Factor the first three terms on the right-hand side.
y=(x-2)^2 + 9
the resulting express is then the vertex form, which means that
the vertex is at (x-2) = 0, x=2, and at y=9.
Answer: y lesser than 50 inches
Step-by-step explanation:
To play the bouncy castle at the school carnival one must be shorter than 50 inches tall.
Let h represent the required height to play in the bouncy castle. So y must be shorter than 50 inches tall.
Therefore, the inequality is
y lesser than 50 inches
Where y is in inches
The inequality is shown in the attached photo with the proper symbol of lesser than.
Answer:
B = 4
Step-by-step explanation:
Given that B is directly proportional to A then the equation relating them is
B = kA ← k is the constant of proportionality
To find k use the condition B = 3 when A = 18 , then
3 = 18k ( divide both sides by 18 )
k = =
B = A ← equation of proportion
When A = 24, then
B = × 24 = 4