The length would be 7 inches and the width would be 6 inches <span>☆ I hope this helps! If you need help showing work or anything I'd be happy to let you know in the comments :0</span>
Answer:
The correct option is C
Step-by-step explanation:
Lets find the linear equations:
For Hours
Let
Number of hours in bookstore per week = x
Number of hours for babysitting per week = y
Total number of hours ≤ 16
So the first equation us:
x + y ≤ 16
y ≤ 16 - x
For Money
Let
Amount earned per hour from bookstore = $4
Total Amount earned from bookstore = 4x
Amount earned per hour from babysitting = $8
Total Amount earned from babysitting = 8y
Total Amount earned ≥ $56
So the second equation is:
4x + 8y ≥ 56
8y ≥ -4x + 56
y ≥ -(1/2)x + 7
Answer:
The correct is 4.
Step-by-step explanation:
It is given that figure ABCD is transformed to figure A′B′C′D′.
The vertices of ABCD are A(1,1), B(3,3), C(4,2) and D(4,1).
The vertices of A'B'C'D' are A'(1,-3), B'(3,-1), C'(4,-2) and D'(4,-3).
It is clear that the figure translate 4 units down and the rule of translation is
(x ,y) -->(x ,y - 4)
Answer:
4,500 babies will have brown eyes PLEASE GIVE BRAINLIEST
Step-by-step explanation:
6000 x .75 = 4,500 babies will have brown eyes
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