Answer:
x = 5.2
Step-by-step explanation:
![f(x) = -5x + 11 + 3](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-5x%20%2B%2011%20%2B%203)
Let's first simplify our first function:
![f(x) = -5x + 11 + 3\\f(x) = -5x + 14](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-5x%20%2B%2011%20%2B%203%5C%5Cf%28x%29%20%3D%20-5x%20%2B%2014)
Now, we just need to set this function equal to our other given function.
![f(x) = -5x+14\\f(x) = -12\\-5x + 14 = -12](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-5x%2B14%5C%5Cf%28x%29%20%3D%20-12%5C%5C-5x%20%2B%2014%20%3D%20-12)
Now, we can add 12 to both sides:
![-5x + 14 + 12 = -12 + 12\\-5x + 26 = 0](https://tex.z-dn.net/?f=-5x%20%2B%2014%20%2B%2012%20%3D%20-12%20%2B%2012%5C%5C-5x%20%2B%2026%20%3D%200)
Now, add 5x to both sides:
![-5x+26 = 0\\26 = 5x\\](https://tex.z-dn.net/?f=-5x%2B26%20%3D%200%5C%5C26%20%3D%205x%5C%5C)
Finally, we'll divide both sides by 5:
![26/5 = 5x / 5\\5.2 = x\\x = 5.2](https://tex.z-dn.net/?f=26%2F5%20%3D%205x%20%2F%205%5C%5C5.2%20%3D%20x%5C%5Cx%20%3D%205.2)
Answer: x = 5.2
Answer:
letter d
Step-by-step explanation:
because 3.16 is close to number 3
100 - 80% = 20 %
20% = $416
416 x 5 = $2080 = 100%
Answer:
b a
Step-by-step explanation:
Answer:
The measure of the three angles are 120°, 20° and 40°
Step-by-step explanation:
Let
x ----> the measure of the first angle
y ---> the measure of the second angle (smallest angle)
z ---> the measure of the third angle
Remember that
The sum of the angles in a triangle must be equal to 180 degrees
so
----> equation A
-----> equation B
------> equation C
solve the system by substitution
substitute equation B and equation C in equation A
![(y+100)+y+(2y)=180](https://tex.z-dn.net/?f=%28y%2B100%29%2By%2B%282y%29%3D180)
solve for y
![4y+100=180](https://tex.z-dn.net/?f=4y%2B100%3D180)
![4y=180-100](https://tex.z-dn.net/?f=4y%3D180-100)
![4y=80](https://tex.z-dn.net/?f=4y%3D80)
![y=20\°](https://tex.z-dn.net/?f=y%3D20%5C%C2%B0)
<em>Find the value of x</em>
----
<em>Find the value of z</em>
----> ![z=2(20)=40\°](https://tex.z-dn.net/?f=z%3D2%2820%29%3D40%5C%C2%B0)
therefore
The measure of the three angles are 120°, 20° and 40°