Answer:
B the range, the x- and y-intercept
Step-by-step explanation:
the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).
but the range changes, as for the original function y could only have positive values - even for negative x.
the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.
the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.
the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.
the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.
the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)
Answer:
7 km
Step-by-step explanation:
2 hours 20 minutes is 2 and 1/3 hours. 3 * 2 and 1/3 = 3 * 7/3 = 7km.
As your -2 is directly affecting the x with addition/subtraction, it is a translation horizontally. To find direction, change the sign, from negative to positive, making it go right. This means it will be translated 2 units to the right, fitting the first statement. For your +5, it is not directly affecting the x, making it a translation vertically. As it's positive, it goes up, making it a translation 5 units up, fitting statement 4. This makes your correct statements 1 and 4.
Answer:
Number of hot dogs sold = 56
Number of hamburgers sold = 52
Step-by-step explanation:
Let
Number of hot dogs sold = x
Number of hamburgers sold = y
We can make equation from given equations:
(Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )
(Together you sold 108 hot dogs and hamburgers.)
Now we cam solve these system of equations to find value of x and y
Subtract both equations to get value of x:
We get value of x = 56
Now putting value of x in equation 2 to find value of y
So, we get y = 52
Therefore,
Number of hot dogs sold = x = 56
Number of hamburgers sold = y = 52
