Answer: y=x^2+7x+10
Step-by-step explanation: apex
The true statement, regarding the signal of the graphed function, is given by:
F(x) > 0 over the interval (–∞, –4).
<h3>When a function is positive and when it is negative?</h3>
Looking at it's graph, we have that:
- The function is positive when it is above the x-axis.
- The function is negative when it is below the x-axis.
Researching this problem on the internet and looking at the graph of the function, the function is negative for <u>all values to the right of x = -4</u>, and positive to the left, hence the correct statement is given by:
F(x) > 0 over the interval (–∞, –4).
More can be learned about the signal of a function at brainly.com/question/25638609
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Answer: $562.5
Step-by-step explanation:
Given : The taxes on a house valued at $60,000 are $450.00.
i.e. Market value of house = $60,000
Tax amount paid on $60,000 market value house = $450.00
Tax rate = (Tax amount on ) ÷ (Market value of house)
⇒ Tax rate= 0.0075
Market value of another house = $75,000
Tax amount paid on $75,000 market value house = (Tax rate) x ( (Market value of house))
= (0.0075 )x ( $75,000) = $562.5
Hence, the taxes on the house next door with a market value of $75,000= $562.5
Answer: 4^3
(Four cubed or Four to the power of 3)
Step-by-step explanation:
Answer:
6 ft, 6 ft, 12 ft
Step-by-step explanation:
Area = 216 sq feet
let the sides are y, y and z.
Area, A = 2y² + 2yz
216 = 2y² + 2yz
108 = y² + yz
z = (108 - y²) / y .... (1)
Volume, V = y²z
Substitute the values of z from equation (1)
V = 108 y - y³
Differentiate with respect to y
dV/dy = 108 - 3y²
Put it equal to zero for maxima and minima
3y² = 108
y = 6 ft
So, z = (108 - 36) / 6 = 12 ft
Thus, the sides are 6 ft, 6 ft, 12 ft.