Answer:
see explanation
Step-by-step explanation:
(1)
Given
g(r) = (r + 14)² - 49
To obtain the zeros, let g(r) = 0 , that is
(r + 14)² - 49 = 0 ( add 49 to both sides )
(r + 14)² = 49 ( take the square root of both sides )
r + 14 = ± 
= ± 7 ( subtract 14 from both sides )
r = - 14 ± 7, then
r = - 14 - 7 = - 21 ← smaller r
r = - 14 + 7 = - 7 ← larger r
(2)
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
g(r) = (r + 14)² - 49 ← is in vertex form
with vertex = (- 14, - 49 )
Answer:
The cost of a chicken shawarma wrap = $10.99
The cost of an order of spiced potatoes=$4.99
Equations needed
3x+2y =42.95
5x + 4y=74.91
Step-by-step explanation:
x = the cost of a chicken shawarma wrap
y = the cost of an order of spiced potatoes
Ms. Ironperson
3x+2y =42.95
Mr. Thoro
5x + 4y=74.91
3x+2y =42.95 (1)
5x + 4y=74.91 (2)
Multiply (1) by 2
6x + 4y=85.9 (3)
5x + 4y=74.91. (2)
Subtract (2) from (3)
6x - 5x= 85.9 - 74.91
x=$10.99
Substitute the value of x into (1)
3x+2y =42.95 (1)
3(10.99) + 2y =42.95
32.97 + 2y = 42.95
2y = 42.95 - 32.97
2y=9.98
Divide both sides by 2
y=9.98/2
=4.99
y=$4.99
Therefore,
The cost of a chicken shawarma wrap = $10.99
The cost of an order of spiced potatoes=$4.99
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Answer: 3/5
The answer is 10.5 pounds. No there is no other solutions.
24 divided by 1/4 = 6 lbs
24 divided by 1/8 = 3 lbs
24 divided by 1/16 = 1.5 lbs
6+3+1.5= 10.5 lbs of food
Answer:
The factored area of the rectangle=2(2w-5)
Area of a rectangle=length×width
Step-by-step explanation:
Area of rectangle is 4w - 10 square units
We have to factor the expression
Area of rectangle = 4w - 10
common factor=2
Area of rectangle = 2(2w - 5)
Thus the given expression is factored
Area of a rectangle=length × width
Area of the rectangle=2×(2w-5)
Thus, it is safe to say
The length=2 or (2w-5)
The width=(2w-5) or 2
