The graph of the given system of inequalities can be seen at the end of the answer.
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How to get the graph of the system of inequalities?</h3>
Here we have the system of inequalities:
x + 3y > -3
y < 2x + 1
first, we can write both of these in the form of a line equation in the slope-intercept form.
y > (-3 - x)/3 = -1 - (1/3)*x
y < 2x + 1.
To graph this, we first need to draw the two lines as dashed lines (because the points on the lines are not solutions).
Then for the line:
y = -(1/3)*x - 1 we need to shade the region above the line (because the symbol > is used).
For the line:
y = 2x + 1
We need to shade the region below the line, because the symbol used is <.
Then the graph of the system of inequalities is the one you can see below. The solutions of the system are the ones where the two shaded regions intercept.
If you want to learn more about systems of inequalities:
brainly.com/question/9774970
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Answer:
x = 40
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
8(8 + x) = 12(12 + 20)
8(8 + x) = 12 × 32 = 384 ( divide both sides by 8 )
8 + x = 48 ( subtract 8 from both sides )
x = 40
Answer:
$16,534.95
Step-by-step explanation:
To compute interest on loans, we use the compounded interest equation. We use the equation 
where
- P is the principle or starting value
- A is the total amount after interest and a period of time
- r is the rate at which interest gathers as a decimal
- n is the number of times compounded in a year.
For this problem, we know P=$8000, r=19%=0.19, t=4 years and n=2. We substitute into the formula and simplify to find the total amount A.
Answer:
Each piece is 4/5 m long
Step-by-step explanation:
Kofi has 4 meters of fabric
he cuts them into 5 pieces
4meters/ 5 pieces = length of each piece
4/5 meters long
