If Paul mows the lawn once, he earns 1*25.50. If he mows it twice, he earns 2*25.50, and so on. So, he earns L*25.50. But, he spends 3.50. So the equation is:
Based on the given inequality of y≥ x - 1, the graph that matches it best is C. Graph A.
<h3>How are inequalities graphed?</h3>
When graphing an inequality with the "greater or equal" and "less or equal" signs, the line will be a steady line as shown by graphs A and B.
If y is the larger or equal variable, the shaded area will be to the left of the line.
The inequality is y≥ x - 1 which means that the line should be steady and the shading should be on the left of the line. Graph A is therefore the correct graph.
Find out more on graphing inequalities at brainly.com/question/11234618.
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Answer:
Directions - Identify the key components, create an exponential equation, then answer the questions.
Exponential Form: y=a\cdot b^{x},\ a\ is\ the\ \textit{starting}\ \textit{value},\ b\ is\ the\ base\ (rate).\y=a⋅b
x
, a is the starting value, b is the base (rate).
In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?
1) a = 15
4) Dogs after 1 years = 45
2) b = 3
5) Dogs after 2 years = 135
3) Equation:
y= 15 ×3x
6) Dogs after 3 years =
405
Step-by-step explanation:
Answer:
<span>⇒x=9</span> (positive solution)
Explanation:
<span><span>x2</span>−36=5x</span>
<span>→<span>x2</span>−36−5x=0</span>
Factor the expression:
We get:
<span><span>(x−9)</span><span>(x+4)</span>=0</span>
First solution:
<span>⇒<span>(x−9)</span>=<span>0<span>x+4</span></span></span>
<span>⇒<span>(x−9)</span>=0</span>
<span>⇒x=<span>9</span></span>
