3.) Which situation is best represented by the inequality below? 59 < 11x - 5
a) Jessi purchases 11 equally-priced balloons for a birthday bouquet for her mom. She also buys a stuffed
elephant for $5. If she spends a maximum of $59 on her mom's bouquet, how much could each balloon
cost?
b) Luke walks 11 blocks to school each morning. It takes him a minimum of 59 minutes to get to school.
He takes 5 minutes to stop at the store and buy milk each morning. How many minutes does it take Luke
to walk each block?
c) The height of a triangle is 5 less than 11 times the measure of the base. The height is 59 centimeters.
What is the measure of the base?
d) Derek's score on his math test is at least 59. He earns 11 points for each correct question but has 5
points deducted for using a pen. How many questions could Derek have answered correctly on his math
test?

False is correct on edgenuity

Answer:     the interval on which the curve is concave up is  (-∞, -1/2)======    we find the interval where this curve is concave up by finding the interval in which the 2nd derivative is positive.differentiate the curve equation with respect to x    let the function f denote be the anti-derivative of the inside expression, i.e. a function such that .then use the fundamental theorem of calculus:     differentiate again to get second derivative. we can use chain rule with 1/x as the outside function and 1 + x + x² as the inside function    find critical numbers of the second derivative. these numbers are where the 2nd deriv. is undefined or zero.where the 2nd derivative is zero: set (d²y/dx²) to equal 0 and solve for x    where the 2nd derivative is undefined: if the denominator is equal to zero, the derivative will be undefeined. attempting to solve the equation    1 + x + x² = 0results in a discriminant of      meaning that the equal 1 + x + x² = 0 has no real solutions and therefore will never equal zero.======our only critical number is x = -1/2.this forms two intervals to test the sign for: (-∞, -1/2) and (-1/2, ∞)test values into the 2nd derivative for (-∞, -1/2)if we try x = -1, we get      so the since the 2nd derivative of the curve is positive on the interval  (-∞, -1/2), the curve is concave up on (-∞, -1/2)test values into the 2nd derivative for (-1/2, ∞)if we try x = 0, we get      so the since the 2nd derivative of the curve is positive on the interval  (-∞, -1/2), the  curve is concave down on (-∞, -1/2).the interval on which the curve is concave up is  (-∞, -1/2)

Answerimmediately