P(x) = x^4 - 9x^2 - 4x + 12
P(1) = 1^4 - 9(1)^2 - 4(1) + 12 = 1 - 9 - 4 + 12 = 0
x = 1 is a root.
By dividing the polynomial by x - 1, gives other roots as 3 and -2

3 0

3 years ago

Read 2 more answers

PLZ HELP ME!<br> Directions up above the picture<br> **MATH (Algebra)

Vikentia [17]

Answer:

The answer to your question is t = 1.3 s

Step-by-step explanation:

Data

Equation h(t) = -4.9t² + v₀t + h₀

v₀ = 0 m/s

h₀ = 8 m

t = ?

h = 0 m

Process

1.- Substitute the values in the formula

0 = -4.9t² + 0t + 8

2.- Simplification

0 = -4.9t² + 8

3.- Solve for t

4.9t² = 8

t² = 8/4.9

t² = 1.63

4.- Result

t = 1.27 ≈ 1.3 s

6 0

3 years ago

A population of caribou in a forest grows at a rate of 5% every year. If there are currently 248 caribou, which function represe

ANEK [815]

Answer: I think that the answer is C because 5% is 5 out of 100 and 5 out of 100 as a decimal is 0.05 and you are trying to find how much the population will have increased so you have to multiply 248 by 5% or you have to multiply 248 by 0.05

Step-by-step explanation:

6 0

3 years ago

Ilona is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward

larisa [96]

Complete question is;

Ilona is at a friends home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home.

The expression -2t + 10 gives the distance, in miles, that Ilona is from her home after t hours. Select True or False for each of the following.

1. The friends home is 10 miles from Ilonas home

2. The distance Ilona has walked away from her friends home after t hours is given by the absolute value of -2t

3.The negative sign in the term indicates that Ilona is walking toward her home

4. Ilona is walking at a rate of 10 miles per hour

Answer:

Statements 1 & 2 are correct.

Step-by-step explanation:

We are told that the expression -2t + 10 gives the distance, in miles, that Ilona is from her home after t hours.

Now, we know that distance = speed x time

Now, from the expression -2t + 10

It's clear that 2t is a distance value.

This means that the speed used in going home is 2 miles/hr

This means that at t hours, she has walked 2t miles from her friends home.

Thus, statement 2 is true because an absolute value of -2t will be 2t.

Since 2t is subtracted from 10 in the expression and 2t is the distance she has walked from her friends house at Time, t. It means that 10 miles is the distance from her friends house to her house.

Thus, statement 1 is also true

7 0

3 years ago