Answer:
Use the appropriate entry method for piecewise functions for the graphing calculator of interest.
Step-by-step explanation:
For Desmos, the entry looks like ...
f(x) = {x ≤ 2: -2x-1,-x+4}
_____
For a TI-84 calculator, the entry may look like ...
Y₁ = (-2X–1)(X≤2) + (-X+4)(X>2)
The symbols ≤ and > come from the TEST menu, which is the (2nd) shift of the MATH key.
Note that the function is the sum of the pieces, each piece multiplied by a test. For something like 0≤x<2, the multiplier would be a pair of tests:
... (0≤X)(X<2)
So you want to solve for x?
It would be nice if this would easily factor:
(-4x + 5)(2x +1) = 0 This will not work!
So you need to use the quadratic formula:
a = -8, b = 4, c = 5
x = (-4 +/-
)/2(-8)
= (-4 +/-
)/-16
= (-4 +
)/-16
= 1/4 -
/4
2w + 2l = 25
2 * 2 + 2l = 25
<em><u>Simplfiy.</u></em>
4 + 2l = 25
<em><u>Subtract 4 from both sides.</u></em>
2l = 21
<em><u>Divide both sides by 2.</u></em>
l = 10.5
Now that we have the value of l, we can find the area.
A = lw
A = 10.5 * 2
A = 21.
The length is 10.5cm.
The area of the rectangle is 21cm^2
Answer:21
Step-by-step explanation: solve whats in the numerator then solve whats in the denominator then you divide
Yes, her estimate is reasonable. She has 430 flowers and each bouquet needs 17. If we divide 430 by 17 we get roughly 25.29. So she can make 25 complete bouquets, which is between 20 and 30
