Show that f is continuous on (−∞, ∞). f(x) = 1 − x2 if x ≤ 1 ln(x) if x > 1 on the interval (−∞, 1), f is correct: your answer is correct. function; therefore f is continuous on (−∞, 1). on the interval (1, ∞), f is correct: your answer is correct. function; therefore f is continuous on (1, ∞). at x = 1, lim x→1− f(x) = lim x→1− incorrect: your answer is incorrect. = incorrect: your answer is incorrect. , and lim x→1+ f(x) = lim x→1+ incorrect: your answer is incorrect. = incorrect: your answer is incorrect. , so lim x→1 f(x) = incorrect: your answer is incorrect. also, f(1) = incorrect: your answer is incorrect. thus, f is

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.