Find the vertical shift.

y=0.9 (sin (pi/3-x) + 0.01)

Palmers average running speed is 3 kilometers per hour faster than his walking speed. If Palmer can run around a 40-kilometer course in 4 hours, how many hours would it take for Palmer to walk the same course?

Create a factorable polynomial with a GCF of 2. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.

Solve for - 2 (+1) + 3 (-2) - 4 (+3) >2 (-1) - 3 (+2) + 4 (-3)

Given a quadratic function, f (x) = ax 2 + bx + c has a positive leading coefficient and the vertex that has a y-coordinate of zero. Determine the number of real zeros of the function.

How many zeros will be in the product 7x5,000 without calculating the answer explain how to use the Associative Property to find the number of zeros in the product.

The decimal i am thinking of is 3 hundredths less than 3 tenths. What is my decimal

List the potential solutions to 2log x - log3 = log3 from least to greatest. X=? X=?

There are eight runners in the 100-meter dash. In how many ways can the runners finish first, second, and third? 1. 72 2. 6 3. 120 4. 336

A contractor was hired to remodel a kitchen. she can complete 3/8 of the kitchen remodeling project in one day. how much of the kitchen is left to remodel after two days?

The function for the cost of materials to make a biscuit is f (x) = four-fifths x + 4, where x is the number of biscuits. The function for the selling price of those biscuits is g (f (x)), where g (x) = 4x + 5. Find the selling price of 15 biscuits.