F(x) = -(x + 8)² - 1
<span>The function (not its graph) decreases on interval [-8, ∞). It is a quadratic function in vertex form. That form makes it easy to pick out the one extremum, where x equals -8. The leading coefficient is negative, so the extremum must be a maximum. The function decreases as x increases from there. </span>
<span>Notice that I include the value -8 in the interval. The function does not have instantaneous decrease at that value, but that is not what it means for a function to be decreasing over an interval. </span>
<span>Let a and b be any two values on [-8, ∞), such that a < b. </span>
<span>-8 ≤ a < b </span>
<span>Then f(a) > f(b). Therefore, function f is decreasing on interval [-8, ∞).</span>
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Answer:
choices A and F are part of Leo's system of equations
Step-by-step explanation:
The formula for the amount in an account compounded annually is ...
A = P(1 +r)^t
For the given amounts and variables, that is ...
y = 500(1.025)^x . . . . matches F
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The formula for the amount in an account compounded continuously is ...
A = P·e^(rt)
With given values, this is ...
y = 400e^(0.02x) . . . . matches A
Answer:
Step-by-step explanation:
we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
They can make 2880 bagels in 16 hours.
The hourly rate is 180 bagels.
EXPLANATION
To solve the amount of bagels in 16 hours, we must divide 16 by 2 to work out that you need to times the amount of bagels every 2 hours by 8. This gives us 2880 bagels made over 16 hours.
To find the hourly rate, we need to divide 360 by 2 (just like we would the 2 hours to get to one hour) to give us an answer of 180 bagels per hour.
Hope this helps!
Step-by-step explanation:
The circumference of the clock will be 8.6π because its hand is the radius. In 15 minutes the hand moves a quarter of the circumference which is 2.15π or 6.571.
