Given:
The graph of a downward parabola.
To find:
The domain and range of the graph.
Solution:
Domain is the set of x-values or input values and range is the set of y-values or output values.
The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.
Domain = R
Domain = (-∞,∞)
The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.
From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.
Range = All real numbers less than or equal to -4.
Range = (-∞,-4]
Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].
Answer:
a
Step-by-step explanation:
3x+22.5 = 69.75
-22.5 -22.5
3x = 47.25
/3 /3
x = 15.75
The price of each shirt before tax is $15.75
Answer:
the 3rd one
Step-by-step explanation:
The correct answer is Option C. Ty saved $14 and he earns $9 each week. How many weeks will it take till he has $100?
Further explanation:
Given equation is:
9x+14
We will look at the options one by one
<u>A.9 dogs and 14 dogs and 14 cats cost $100</u>
If this option has to be considered, there will be atleast two variables involved one for the dogs and one for the cats while the given equation only involves one variable so this is not the correct option.
<u>B. Ty wants to buy 14 dogs, but they cost $100, how much more does he need?</u>
The given scenario cannot be linked to given equation if x represents dogs the equation will be something like 14x=100 so this option is not the correct answer.
<u>C. Ty saved $14 and he earns $9 each week. How many weeks will it take till he has $100?</u>
The number 14 will be constant as this is the value which is used only once while ty earns 9 dollar per week if x represents number of weeks then the equation to represent the scenario will be
9x+14=100
The value of x will give us the number of weeks required.
The correct answer is Option C. Ty saved $14 and he earns $9 each week. How many weeks will it take till he has $100?
Keywords: Linear equations, linear inequality
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