Hi there
Root=0.5 means x=0.5
Plug in 0.5 for x
(b-5)0.5^2-(b-2)0.5+b=0
(b-5)0.25-(b-2)035+b=0
Simplify
0.75b-2.25=0
b=3
Hope this helps
Answer:
It could be the first one or second one but the second one makes more sense .
Step-by-step explanation:
Answer:
a) b = 8, c = 13
b) The equation of graph B is y = -x² + 3
Step-by-step explanation:
* Let us talk about the transformation
- If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then the new function g(x) = f(x + h)
In the given question
∵ y = x² - 3
∵ The graph is translated 4 units to the left
→ That means substitute x by x + 4 as 4th rule above
∴ y = (x + 4)² - 3
→ Solve the bracket to put it in the form of y = ax² + bx + c
∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)
∴ (x + 4)² = x² + 4x + 4x + 16
→ Add the like terms
∴ (x + 4)² = x² + 8x + 16
→ Substitute it in the y above
∴ y = x² + 8x + 16 - 3
→ Add the like terms
∴ y = x² + 8x + 13
∴ b = 8 and c = 13
a) b = 8, c = 13
∵ The graph A is reflected in the x-axis
→ That means y will change to -y as 1st rule above
∴ -y = (x² - 3)
→ Multiply both sides by -1 to make y positive
∴ y = -(x² - 3)
→ Multiply the bracket by the negative sign
∴ y = -x² + 3
b) The equation of graph B is y = -x² + 3
Hello!
So, we know that the length of the rectangular basketball court is 84 ft, and the width is 50 ft.
The formula for perimeter of a rectangle is:
P = 2l + 2w
This means that we need to multiply the length by two and the width by two as well.
Substitute:
P = 2(84) + 2(50)
P = 168 + 100
P = 268 ft
ANSWER:
The perimeter of the basketball court is 268 feet long.
