At 6: 00 a. m. the temperature was 33°f. by noon the temperature had increased by 10°f and by 3: 00 p. m. it had increased another 12°f. if at 10: 00 p. m. the temperature had decreased by 15°f, how much does the temperature need to rise or fall to return to the original temperature of 33°f?

The gades foundation and hbm corporation are eager to donate generously to their favorite charities. the gades foundation donated $250 in the first month, and each month afterward their cumulative donation total increases by 100$ the hbm corporation donated $64, in the first month, and each month afterward their cumulative donation total increases by 75%. in which month will the hbm corporation's cumulative donation total first exceed the gades foundations' cumulative donation total?

Write each expression in exponential form and find its value. 2 x 2 x 2 x 2

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)