MATHEMATICS COLLEGE

Consider the function f(x)=x3+15x2+74x+120. If f(x)=0 for x=−6, for what other values of x is the function equal to 0? List the values separated by commas.

Answers

Answer 1

Answer:

Answer:

other x values are -5,-4

Step-by-step explanation:

f(x)=0 for x=−6

Apply synthetic division to get the quotient . using that we find other two values of x

-6 1 15 74 120

0 -6 - 54 -120

-------------------------------------------------

1 9 20 0

the quotient is $x^2+9x+20=0$

now factor the left hand side, product is 20 and sum is 9

$x^2+9x+20=0\n(x+5)(x+4)=0\nx+5=0 , x=-5\nx+4=0, x=-4$

So other x values are -5,-4

Related Questions

Maria, Zach y Jill comparten una pizza. Maria come la mitad de la pizza, Zach come 4/6 y Jill come 3/12 de la pizza. ¿Quién come más?
In figure, MN : NP = 9:1. If MP = 2. Find the distance from M to point K that is 1/4 the distance from M to N?(A) 1 (B) 1 1/3 (C) 9/20 (D) 1 8/10
A student is taking a multiple-choice exam in which each question has four choices. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are five multiple choice questions on the exam. What is the probability that she will geta. Five questions correct?b. At least four questions correct?c. No questions correct?d. No more than two questions correct?
Which of the following is a like radical to 3 x StartRoot 5 EndRoot?x (RootIndex 3 StartRoot 5 EndRoot)StartRoot 5 y EndRoot3 (RootIndex 3 StartRoot 5 x EndRoot)y StartRoot 5 EndRoot
Daryl invested $2,200 for 3 years. He received interest of $264. What was the interest rate?

(-2x) (x-3) answer please

Answers

Answer:

−2x^2+6x

Explanation:

You just have to distribute meaning you have to multiply -2x to the equation.

Is the quotient 2.7 ÷ 3 greater than or less than 1? Explain plzz!!!

Answers

2.7 / 3 = 0.9.

Is 0.9 greater than, or less than 1? =)

The numbers of words defined on randomly selected pages from a dictionary are shown below. Find the mean, median, mode of the listed numbers. 30 31 64 59 57 33 54 77 56 41 What is the mean? Select the correct choice below and ,if necessary ,fill in the answer box within your choice.(around to one decimal place as needed)

Answers

Answer:

30 31 64 59 58 33 54 77 56 41 (arrange it)

30 31 33 41 54 56 58 59 64 77 (done!)

Mean: Find the number in the middle (54+56)/2= 110/2 = 55

Mode: None

Mean: (30+31+33+41+54+56+58+59+64+77)/10=503/10= 50,3

Over the past several months, the water level of a lake has been decreasing by 3% each week. If the highest water level before the decrease started was 520 ft, what was the level at the end of 8 weeks?

Answers

Answer:

y= 407.54654 ft

Step-by-step explanation:

This is an exponential decay functions

y = ab^x where a is the initial value and b is ( 1 - rate of decay)

a = 520

b = 1- 3%

y = 520 ( 1- .3) ^x

y = 520 ( .97) ^x

We want x to be 8 weeks

y = 520 ( .97) ^8

y= 407.54654 ft

Write an equation in slope-intercept form of the line that passes through thegiven point and is parallel to the graph of the given equation.

(-3, 12); y = -3x + 5

Answers

Answer: y = -3x + 3 or y = 3 - 3x

Step-by-step explanation:

First, we need to determine our slope. Thankfully for us, the slope of a line parallel to another is the same.

So our slope is -3.

Now, we need to find our y-intercept. To do that, we will use y = mx + b. y is the y-coordinate, m is the slope, x is the x-coordinate, and b is the y-intercept.

Plug in the numbers given.

12 = -3(-3) + b

Simplify.

12 = 9 + b

Subtract 9 from both sides.

12 - 9 = 9 - 9 + b

3 = b

Our y-intercept is 3.

Now, we just put everything together.

y = -3x + 3

The line parallel to y = -3x + 5 that passes through the point (-3, 12) is

y = -3x + 3 or y = 3 - 3x (both are the same just written differently)

For the set data below, determine the 5 number summaries. Construct the resulting box and whisker plot for 5, 3,8, 6, 1, -10,3,9,7,4,2

Answers

The 5 number summaries Median: 4, Minimum: -10, Maximum: 9, First quartile: 2, Third quartile: 7

What are numbers?

Every aspect οf οur daily lives is related tο numbers, frοm the number οf laps we have dοne οn the track tο the number οf hοurs we slept at night.

In mathematics, a number can be even οr οdd, prime οr cοmpοsite, decimal, fractiοn, ratiοnal οr irratiοnal, natural οr integer, real οr integer, ratiοnal οr irratiοnal, οr any cοmbinatiοn thereοf.

Put the values in the data set into increasing order:

−10, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9

The minimum (the smallest number) is −10

and the maximum (the largest number) is 9.

Find the median,

The median is the middle number

The median is = 4.

Find Q1 and Q3.

Q1 = 2, Q3 = 7

Range = max−min = 9−(−1) = 19

Interquartile range = Q3−Q1 = 7−2 = 5.

Thus,