In a histogram, the highest bar is the mode, which means the number the bar represents appears the most.
The answer would be D. Three, because it appears most often.
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:
x = -10
Step-by-step explanation:
Solve the equation by simplifying according to PEMDAS. Then use inverse operations to solve.
4(x+5) = 3(x-2) -2(x+2)
4x + 20 = 3x - 6 - 2x - 4
4x + 20 = x - 10
3x = -30
x = -10
So the answer for number 3 is p because p is the only one right on top of 4
But I dont know the answer for number 4 but I think its 2 I might be way off but its my guess.
Hope number 3 helps
(680 * d) - (960 * d) + 52000 =
is the equation, i’m not sure what the total answer is though.
Julianne will start making a profit on day 55 or 54. Check again, because it could be either.
Please mark brainliest , thank you , and have a great day .
