### Solve the Quadratic Equation 4x²-5x-12=0

The roots for the given quadratic equation are x1 ≈ 2.46625 and x2 ≈ -1.21625. For solving the quadratic equation 4x² – 5x – 12 = 0 we apply the quadratic formula, this method is a steadfast solution strategy when facing any quadratic equation of the form ax² – bx – c = 0. Below we […]

### How do I interpret this equation 5+1×10 is the answer 15 or 60?

This question aims to find the right answer to the given expression using the correct order of operations. The sequence in which an expression is simplified is referred to as the order of operations. The order of operations refers to how we add, subtract, multiply, or divide numbers to work out a problem. This implies that the operator […]

### Where is the greatest integer function f(x)= ⌊x⌋ not differentiable? Find a formula for f’ and sketch its graph.

Expert Answer: The greatest integer function is not differentiable on any real value of x because this function is discontinuous on all the integer values, and it has no or zero slopes on every other value. We can see the discontinuity in Figure 1. Let f(x) is a floor function which is represented in Figure […]

### The graph of a function f is shown. Which graph is an antiderivative of f?

This question explains the concept of antiderivative and how to draw its graph from the function graph. The antiderivative of a function is the indefinite integral of the function. If we take its derivative, it will give out the original function. The derivative and antiderivative or indefinite integral are inverse of each other. The derivative […]

### A bridge is built in the shape of a parabolic arch. The bridge has a span of 130 feet and a maximum height of 30 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10, 30, and 50 feet from the center.

This question aims to find the height of a parabolic bridge 10 feet, 30 feet, and 50 feet from the center. The bridge is 30 feet high and has a span of 130 feet. The concept needed for this question to understand and solve include basic algebra and familiarity with arches and parabolas. The equation of the […]