Answer:
Step-by-step explanation:
When matching graph to inequality, the first things to look for are the nature of the boundary line (solid or dashed), and the direction of shading relative to the boundary line (above or below, left or right).
<h3>Boundary line</h3>
The boundary line of the solution set of an inequality will be solid if the line is <em>included</em> in the solution. That is, the inequality will include the "or equal to" case. The corresponding inequality symbols are ≤ or ≥.
The boundary line of the solution set will be dashed if the line is <em>not included </em>in the solution. The corresponding inequality symbols are < or >.
<h3>Shading</h3>
The shading will be above the boundary line if the solution set includes larger y-values than those on the boundary. This will be the case when the inequality is of the form y > ( ) or y ≥ ( ).
For inequalities of the form y < ( ) or y ≤ ( ), the shading will be below the boundary line.
Similarly, the shading for an inequality of the form x > ( ) will be right of the boundary line, where x-values are greater. For inequalities of the form x < ( ), the shading will be to the left of the boundary line.
<h3>Application</h3>
In the given graph, both boundary lines are solid, so both inequalities will include the "or equal to" case. This eliminates choices A, B, D.
The shading is above the quadratic boundary line, and below the linear boundary line, so the inequalities can be expected to be of the forms ...
These forms match choice C:
Answer:
x = -11
Step-by-step explanation:
Convert fraction into negative exponential form: 
Simplify using exponent power rule: 
Convert both sides of the equation into terms with same base:
Simplify using exponent power rule:
Based on the given conditions, corresponding exponents are equal:
Rearrange unknown terms to the left side of the equation:
Combine like terms: 
Calculate the sum or difference: 
Thurs, x = -11
[RevyBreeze]
Answer:
7. -700
8. C
9. 1206
Hope this helps.
Step-by-step explanation:
Answer:
$2350
Step-by-step explanation:
If 94 is 4%, multiply it by 25 to get $2350, or 100%
A system equations that can be used to determine after how many months the boys will owe the same amount is
60 x = $ 1000
20 y = $ 600
In mathematics, a system of equations, also known as a system of simultaneous or systems of equations, is a finite system of equations for which we have sought common solutions. A system of equations can be classified in a similar way to simple equations. A system of equations finds application in our everyday life in modeling problems where unknown values can be represented in the form of variables.
In algebra, a system of equations contains two or more equations and looks for common solutions to the equations. "A system of linear equations is a set of equations that are satisfied by the same set of variables."
We need to find a system equations that can be used to determine after how many months the boys will owe the same amount
Let lan take x months to pay $ 1000 to his parents
In 1 month Ian pays $60
In x months Ian pays =
60 x= $ 1000
Let Ken take y months to pay $ 600 to his parents
In 1 month Ian pays $20
In y months Ian pays =
20 y= $ 600
Hence 60 x= $ 1000 and 20 y= $ 600 are the system of equations
<u>Learn more about system of equations here</u>:
brainly.com/question/28053213
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