Answer:
Part one: The function rule for the area of the rectangle is A(x) = 3x² - 2x
Part two: The area of the rectangle is 8 feet² when its width is 2 feet
Step-by-step explanation:
Assume that the width of the rectangle is x
∵ The width of the rectangle = x feet
∵ The length of the rectangle is 2 ft less than three times its width
→ That means multiply the width by 3, then subtract 2 from the product
∴ The length of the rectangle = 3(x) - 2
∴ The length of the rectangle = (3x - 2) feet
∵ The area of the rectangle = length × width
∴ A(x) = (3x - 2) × x
→ Multiply each term in the bracket by x
∵ A(x) = x(3x) - x(2)
∴ A(x) = 3x² - 2x
∴ The function rule for the area of the rectangle is A(x) = 3x² - 2x
∵ The rectangle has a width of 2 ft
∵ The width = x
∴ x = 2
→ Substitute x by 2 in A(x)
∵ A(2) = 3(2)² - 2(2)
∴ A(2) = 3(4) - 4
∴ A(2) = 12 - 4
∴ A(2) = 8
∴ The area of the rectangle is 8 feet² when its width is 2 feet
Answer:
17/8
Step-by-step explanation:
Step 1: Multiply the whole number part (2) by the denominator (8).
2 × 8 = 16
Step 2: Add the product from Step 1 (16) to the numerator (1).
16 + 1 = 17
Step 3: Write that result (17) above the denominator. So,
2 1/8
= 17/8
Answer:
She kills all 6 and takes the money and keeps it for her self.
Answer:
p(t) = 5*2^t
Step-by-step explanation:
We can solve for 'a' and 'b' using the point coordinates shown on the graph.
<h3>Setup</h3>
Substituting for (t, p(t)), the two equations we can make from the given points are ...
p(t) = a*b^t
5 = a*b^0 . . . . . . . (t, p(t)) = (0, 5)
10 = a*b^1 . . . . . . . (t, p(t)) = (1, 10)
<h3>Solution</h3>
The first equation tells you ...
5 = a
The second equation tells you ...
10 = 5*b
2 = b
<h3>Equation</h3>
The function is ...
p(t) = a*b^t
p(t) = 5*2^t
Answer:
Their slope is the same. Perpendicular
Step-by-step explanation:
3x + 4y = 12
4y=12-3x
y=-3/4x+3
6x + 8y = 48
8y=48-6x
y=-3/4+6
