Algebra Answers

For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x)?

A) x−5 is a factor of p(x).
B) x−2 is a factor of p(x).
C) x+2 is a factor of p(x).
D) The remainder when p(x) is divided by x−3 is −2.

While running errands, Tim drove the following distances: 1.3 km to the post office, 3.87 km to the grocery store, 4.0 km to the laundromat, and 2.15 km home. Using the rules for significant digits, which of the following is the correct total distance travelled?

We have 4 positive numbers whose paired products are 2, 3, 4, 5, 6 and x. Find the 4 numbers and x.

Justify 7|280

Plot 1 1/2 and 2 4/5

The amplitude, or loudness, of certain sound waves in a recording studio can be measured by the equation L(I)=10log(II0). L(I) is measured in decibels and is the intensity of a barely audible sound (about watts per square meter), and I is the actual intensity2. If a sound's intensity is half the original value, by how many decibels does the loudness decrease? Round your answer to the nearest hundredth.

1. The amplitude, or loudness, of certain sound waves in a recording studio can be measured by the equation L(I)=10log(II0). L(I) is measured in decibels and is the intensity of a barely audible sound (about watts per square meter), and I is the actual intensity2. If a sound's intensity is half the original value, by how many decibels does the loudness decrease? Round your answer to the nearest hundredth.

A geometric sequence can be used to describe the population of rabbits on a farm. The first spring the farmer purchased 10 rabbits. Four years later there are 810 rabbits at the farm. Assuming that none of the rabbits leave the​ farm, how many rabbits were on the farm in year 4​?

Maria drops a hammer from an apartment that is 30 meters above the ground. The height of the hammer in meters h, after t seconds is modeled by the function “ h(t)= -t2-2t+30. Find the approximate number of seconds it will take for the hammer to hit the ground

Question One

Matrix P = ( 3 -1 ) and Q = ( 3 4 ) If P and Q have equal determinants find the value of x.
(-2 0 ) (-4 x )

Question Two

Factorise Completely 5X^2 - X - 4