Answer:
x= -1/8
Step-by-step explanation:
8x(6)+12−4=2
Step 1: Simplify both sides of the equation.
8x(6)+12−4=2
Simplify: (Show steps)
48x+8=2
Step 2: Subtract 8 from both sides.
48x+8−8=2−8
48x=−6
Step 3: Divide both sides by 48.
48x
48
=
−6
48
x=
−1
8
Answer:
x= -1/8
We can conclude that the function evaluated in x = 5 is equal to 2.3150
<h3>How to evaluate the function?</h3>
Here we have the function:
![f(x) = \frac{20}{5 + 6e^{-0.1x}}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B20%7D%7B5%20%2B%206e%5E%7B-0.1x%7D%7D)
And we want to evaluate in x = 5, this just means to replace the x by a 5 in the given function:
We can evaluate this with a calculator (as doing it by hand is kinda hard), we will get:
![f(5) = \frac{20}{5 + 6e^{-0.1*5}} = 2.3150](https://tex.z-dn.net/?f=f%285%29%20%3D%20%5Cfrac%7B20%7D%7B5%20%2B%206e%5E%7B-0.1%2A5%7D%7D%20%3D%202.3150)
So we can conclude that the function evaluated in x = 5 is equal to 2.3150.
If you want to learn more about evaluations:
brainly.com/question/4344214
#SPJ1
Answer:
44
Step-by-step explanation:
I hope this helps!
Answer:
Option D is correct.
Step-by-step explanation:
Given,
In ΔABC, ∠A = 42° , ∠B = 56° & a = 7
We use law of sines,
which has following expression:
![\frac{a}{sin\,A}=\frac{b}{sin\,B}\frac{c}{sin\,C}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bsin%5C%2CA%7D%3D%5Cfrac%7Bb%7D%7Bsin%5C%2CB%7D%5Cfrac%7Bc%7D%7Bsin%5C%2CC%7D)
First we find value of ∠C
∠A + ∠B + ∠C = 180° (Angle Sum Property of Triangle)
42 + 56 + ∠C = 180
∠C = 180 - 98
∠C = 82°
Now using law of sines, we get
![\frac{7}{sin\,42}=\frac{b}{sin\,56}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7Bsin%5C%2C42%7D%3D%5Cfrac%7Bb%7D%7Bsin%5C%2C56%7D)
![\frac{7}{0.67}=\frac{b}{0.83}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B0.67%7D%3D%5Cfrac%7Bb%7D%7B0.83%7D)
![b=\frac{7}{0.67}\times0.83](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B7%7D%7B0.67%7D%5Ctimes0.83)
![b=8.67](https://tex.z-dn.net/?f=b%3D8.67)
![\frac{7}{sin\,42}=\frac{c}{sin\,82}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7Bsin%5C%2C42%7D%3D%5Cfrac%7Bc%7D%7Bsin%5C%2C82%7D)
![\frac{7}{0.67}=\frac{c}{0.99}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B0.67%7D%3D%5Cfrac%7Bc%7D%7B0.99%7D)
![c=\frac{7}{0.67}\times0.99](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B7%7D%7B0.67%7D%5Ctimes0.99)
![c=10.36](https://tex.z-dn.net/?f=c%3D10.36)
Therefore, Option D is correct.