James and Simon have a reading assignment to complete. James has read r pages, and Simon has read 75 pages. Together they have r
2 answers:
Answer:
James has read 125 pages.
Step-by-step explanation:
To find the answer it is necessary to express the information given as an equation, in this case:
Where:
r represents the number of pages read by James,
75 is the number of pages read by Simon,
200 is the number of pages they have read together
Then, subtract 75 on both sides of the equation:
Thus, the number of pages read by James is 125.
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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)