Determine if (3,0.75) is a point on the graph of the function ◂=▸y=0.75x−1.5 . Enter 1 for yes. Enter 2 for no.
To determine if (3,0.75) is a point on the graph of the function y=0.75x−1.5, we substitute x=3 into the equation and check if the result equals y=0.75:
y=0.75x−1.5
y=0.75(3)−1.5
y=2.25−1.5
y=0.75
Since y=0.75, which is equal to the given y-coordinate, (3,0.75) is a point on the graph of the function.
Therefore, the answer is 1.
Liem orders a large pizza. The pizza store charges $11.00 for the pizza with cheese and $1.50 for each additional topping. The mathematical equation for the function is ◂=▸y=11+1.5x , with x representing the number of additional toppings and y representing the total price of the pizza. What is the cost of a large pizza with 3 toppings?
To find the cost of a large pizza with 3 toppings, we need to substitute x=3 into the equation y=11+1.5x:
y=11+1.5x
y=11+1.5(3)
y=11+4.5
y=15.5
Therefore, the cost of a large pizza with 3 toppings is $15.50.
Which of the following is a point on the graph as described by the function y=◂◽˙▸(2x+1)2−4?(1 point) Responses (0,−2) left parenthesis 0 comma negative 2 right parenthesis (−1,−3) left parenthesis negative 1 comma negative 3 right parenthesis (−1,−5) left parenthesis negative 1 comma negative 5 right parenthesis (1,2)
To check if a point is on the graph of the function y=(2x+1)²−4, we substitute the x and y coordinates of the point into the equation and check if the equation is true.
Let's check if (1,2) is a point on the graph:
y=(2x+1)²−4
2=(2(1)+1)²−4
2=(2+1)²−4
2=3²−4
2=9−4
2=5
Since 2 is not equal to 5, (1,2) is not a point on the graph of the function.
Therefore, the correct answer is (0,−2).
Victoria gets paid $100 as a flat rate each week, as well as $20 per hour. Let y equal the amount Victoria gets paid per week and x equal the number of hours she works per week. Given that the graph shows the set of all solutions, what is the mathematical equation that explains the function? (1 point) Responses y=20x y equals 20 x y=◂+▸100x+20x y equals 100 x plus 20 x ◂=▸y=100+20x y equals 100 plus 20 x y=100x y equals 100 x
The mathematical equation that explains the function is y=100+20x.
In this equation, y represents the amount Victoria gets paid per week, x represents the number of hours she works per week, 100 represents the flat rate she receives, and 20x represents the additional amount she receives for the number of hours worked.
Therefore, the correct answer is y=100+20x.