Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
6x + 2y = 28 ( subtract 6x from both sides )
2y = - 6x + 28 ( divide the terms by 2 )
y = - 3x + 14 ← in slope- intercept form
circular cardboard with an area between 154 in² and 616 in²
Radius is between 7 inches and 14 inches. ⇒ A) 7 < r < 14
√18 + √2 = √9 *2 + √2 = 3√2 + √2 = (3+1) √2 = 4√2
D) It is irrational and equal to 4 multiplied by the square root of 2.
Answer: 13.5 ounce bottle for $2.19
a 29.2 ounce bottle for $5.37
The 29.2 ounce bottle is better
Step-by-step explanation:
13.5 ounce bottle for $2.19
a 29.2 ounce bottle for $5.37
find the ratios
13.5/2.19 = $6.16 per unit
29.2/5.37 = $5.44 per unit
Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
Answer:
d=8km
Step-by-step explanation:
explanation is in the image above