Answer:
an = a+4n-4
Step-by-step explanation:
Function 1:
f(x) = -x² + 8(x-15)f(x) = -x² <span>+ 8x - 120
Function 2:
</span>f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4
Function 2 derivative: -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒ x= 2
Function 1: f(x) = -x² <span>+ 8x - 120 ; x = 4
f(4) = -4</span>² + 8(4) - 120 = 16 + 32 - 120 = -72
<span>
Function 2: </span>f(x) = -x²<span> + 4x+1 ; x = 2
</span>f(2) = -2² + 4(2) + 1 = 4 + 8 + 1 = 13
Function 2 has the larger maximum.
Answer:
It can be written as <span>f<span>(−8)</span></span> or <span>f<span>(3<span>(−2)</span>−2)</span></span>
Explanation:
You would substitute <span>−2</span> for the x in <span>3x−2</span> and then insert <span>3<span>(−2)</span>−2</span> for the g. You would end up with <span>f<span>(3<span>(−2)</span>−2)</span></span>, which can also be simplified to <span>f<span>(−8<span>)</span></span></span>
<h3>
You are correct. The answer is the second choice.</h3>
BC = JC by the single tickmarks shown
CD = CD because of the reflexive property
The angles between these two pairs of sides, that you've marked in the second answer choice, are needed to use SAS (side angle side).
See the diagram below. In the diagram, angle BCD (green) is between segments BC and CD. Also, angle JCD (blue) is between JC and CD.
She is 425 feet above the sea level, or the starting level.
