Answer:
Step-by-step explanation:
B would equal to 1.5 or .5 if that is wrong i don't know
Answer:
The answer is A, parallel.
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
Answer:
They would have to order 4 more uniforms in order to distribute an equal amount to each employee
Step-by-step explanation:
First we have to calculate the number of maximum uniforms that can be given to each employee equally
For this we simply divide the number of uniforms by the number of employees and look only at the whole number
980/41 = 23.92 = 23
we don't round we just take the decimals
now we multiply the number of maximum uniforms that we can give each one by the number of employees
23 * 41 = 943
to the 980 uniforms we subtract the 943
980 - 943 = 37
Calculate how much is left to 37 to reach 41
41 - 37 = 4
This means that they would have to order 4 more uniforms in order to distribute an equal amount to each employee
y < -|x|
replace the letters with the given numbers:
(1,-2) -2<-|1| this is true
(1,-1) -1 <-|1| this is false
(1,0) 0 < -|1| this I false
The answer is (1,-2)
