Answer:
x=1/2
Step-by-step explanation:
-5(x - 4) + 6 = 5(3x+4) -4
WE APPLY DISTRIBUTIVE PROPERTY:
-5*x +5*4 + 6 = 5*3x +5*4 -4
-5x + 26 = 15x +20 -4
26 +4 -20=15x+5x
10=20x
x= 10/20
we have:
x=1/2
Answer:

Step-by-step explanation:
The solution is in the image
Answer:
The specific gravity of kerosene is 0.82
Step-by-step explanation:
Let
x -----> the weight in grams of a cubic centimeter of Kerosene
y ----> the weight in grams of a cubic centimeter of water
z ---> the specific gravity of a substance
so

we have

substitute the values

Answer:
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
Step-by-step explanation:
5z^2−9z=−7z−5
We need to get all the terms on one side (set the right side equal to zero)
Add 7z to each side
5z^2−9z+7z=−7z+7z−5
5z^2−2z=−5
Add 5 to each side
5z^2−2z+5=−5 +5
5z^2−2z+5=0
This is in the form
az^2 +bz+c = 0 so we can use the quadratic formula
where a = 5 b = -2 and c = 5
-b± sqrt(b^2-4ac)
-------------------------
2a
-(-2)± sqrt((-2)^2-4(5)5)
-------------------------
2(5)
2± sqrt(4-100)
-------------------------
10
2± sqrt(-96)
-------------------------
10
2± sqrt(16)sqrt(-1) sqrt(6)
-------------------------
10
2± 4i sqrt(6)
-------------------------
10
1/5 ± 2/5 i sqrt(6)
Splitting the ±
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
The linear inequality of the graph is: -x + 2y + 1 > 0
<h3>How to determine the
linear inequality?</h3>
First, we calculate the slope of the dashed line using:

Two points on the graph are:
(1, 0) and (3, 1)
The slope (m) is:

This gives
m = 0.5
The equation of the line is calculated as:

So, we have;

This gives

Multiply through by 2

Now, we convert the equation to an inequality.
The line on the graph is a dashed line. This means that the inequality is either > or <.
Also, the upper region of the graph that is shaded means that the inequality is >.
So, the equation becomes
2y > x - 1
Rewrite as:
-x + 2y + 1 > 0
So, the linear inequality is: -x + 2y + 1 > 0
Learn more about linear inequality at:
brainly.com/question/19491153
#SPJ1
<u>Complete question</u>
Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form ax+by+c>0 or ax+by+c
0 where a, b, and c are integers with no common factor greater than 1.)