Answer:
3/x + 2/(x+1) = 3/5x
[3 · 5(x + 1) + 2 · 5x] / 5x(x + 1) = 3(x + 1) / 5x(x + 1)
3 · 5(x + 1) + 2 · 5x = 3(x + 1)
15x + 15 + 10x = 3x + 3
15x + 10x - 3x = -15 + 3
22x = -12
x = -12/22 = -6/11
Answer:
f(-2) = -3
Explanation:
Not sure if those last couple numbers are answer choices, but I'm going to infer that they might be.
Twenty four over the quantity of 3 x minus two in standard form is:
f(x) = <span>24<span>3x−2</span></span>
Since the number in the ( ) = x, plug in for x using f(-2)
<span>24<span>3∗<span>(−2)</span>−2</span></span>
P E {M D} {A S} for where to solve first
Multiply the 3 and (-2):
<span>24<span>−6−2</span></span>
Add -6 and -2:
<span>24<span>−8</span></span>
Divide the rest:
f(-2) = -3
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Answer:
25.12 meters
Step-by-step explanation:
The circumference of a circle is given by
(1)
where:
![\pi\sim 3.14](https://tex.z-dn.net/?f=%5Cpi%5Csim%203.14)
r is the radius of the circle
In this problem, the parachute has a diameter of 8 meters:
d = 8 m
The radius of a circle is equal to half of its diameter, so the radius of the parachute is:
![r=\frac{d}{2}=\frac{8}{2}=4 m](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D%3D%5Cfrac%7B8%7D%7B2%7D%3D4%20m)
And therefore, by applying eq.(1) we can find the circumference of the circle:
![c=2\pi r=2\cdot 3.14 \cdot 4 = 25.12 m](https://tex.z-dn.net/?f=c%3D2%5Cpi%20r%3D2%5Ccdot%203.14%20%5Ccdot%204%20%3D%2025.12%20m)
Answer:
y=-3x^2+12x+63
Step-by-step explanation:
y=-3(x-7)(x+3)
y=-3(x^2-4x-21)
y=-3x^2+12x+63