All categories

4 years ago

If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =

1 answer:

7 0

Hello:
let : f(x) = x3 − 6x2 + kx + 10
If (x + 2) is a factor of x3 − 6x2 + kx + 10 : f(-2) = 0
(-2)^3-6(-2)² +k(-2)+10=0
-8 -24-2k +10 = 0
-2k =8+24-10
-2k = 22
k = -11

You might be interested in

A marina is in the shape of a coordinate grid. Boat A is docked at (3.1, −1) and Boat B is docked at (−4.1, −1). The boats are _

kirill115 [55]

Answer:

d = 7.2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Boat A(3.1, -1)

Boat B(-4.1, -1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]: $d = \sqrt{(-4.1-3.1)^2+(-1+1)^2}$
Subtract/Add: $d = \sqrt{(-7.2)^2+(0)^2}$
Exponents: $d = \sqrt{51.84}$
Evaluate: $d = 7.2$

8 0

3 years ago

Read 2 more answers

Find a consecutive odd numbers where the sum of the first three numbers is 15 greater then the final two numbers.

xenn [34]

Answer:

15, 17, 19

Step-by-step explanation:

x + x+2 + x+4 = 15 + (x+2 + x+4)

3x + 6 = 15 + 2x + 21

x = 15

x+2 = 17

x+4 = 19

4 0

3 years ago

If x varies directly as y, and x = 7.5 when y = 10, find x when y = 4.

Lilit [14]

The answer is A) 3.
I hope this helps.

7 0

3 years ago

Read 2 more answers

A survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the resul

scoray [572]

Answer:

The 95% confidence interval for those opposed is: (0.298, 0.334).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.