When can you solve for x

Is (x + 6) a factor of f(x) = x3 − 3x2 + 2x − 8? Show how to use either the remainder theorem or the factor theorem to explain y

inysia [295]

Answer:

x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.

Step-by-step explanation:

→ Substitute x = -6 into f ( x )

( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8

→ Simplify

216 - 108 + 12 - 8

→ Simplify further

112

7 0

2 years ago

A laptop has a listed price of $816.98 before tax. If the sales tax rate is 9.75%, find the total cost of the laptop with sales

Art [367]

Answer:

896.64

Step-by-step explanation:

To find the final price of the laptop you take the entire price of the laptop, 1, and add the sales tax amount of .0975 to get 1.0975. You multiply this amount with the listed price to get the final amount paid, the laptop plus sales tax. $816.98 x 1.0975 = 896.6356. This rounds to 896.64

6 0

3 years ago

Read 2 more answers

Find a formula for the nth term in this

stepan [7]

The formula of nth term is = 10 - 3n

What is AP?

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms. Take the numbers 5, 7, 9, 11, 13, and 15 as an example. . . is a sequence of numbers having a common difference of two.
The n-th term of the sequence is given by:, if the beginning term of an arithmetic progression is and the common difference between succeeding members is, then
If the AP contains m phrases, then denotes the final term, which is given by:
The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.

Acc to our question-

For the nth term in an algebraic series
U(n) = a + (n - 1)d
the number of terms is n.
The first term is a.
d is the typical difference
From the preceding sequence
a = 7
d = 4 - 7 = - 3
The nth term's formula is
U(n) = 7 + (n - 1)-3
= 7 - 3n + 3
The ultimate solution is
= 10 - 3n

Hence,The formula of nth term is = 10 - 3n

learn more about AP click here:

brainly.com/question/6561461

#SPJ13

3 0

1 year ago

Alejandra drove from Michigan to Colorado to visit her friend. The speed limit on the highway is 70 miles/hour. If Alejandra’s c

vova2212 [387]

Answer:

Alexandra drove 980 miles

Step-by-step explanation:

70×14=980

6 0

2 years ago

Write an expression in simplest form for the perimeter of each figure

Juli2301 [7.4K]

QUESTION 12

The given figure has five unequal sides.

The perimeter is the distance around the figure.

So we add all the lengths of the sides of the rectangle to get,

$Perimeter = 5x + 4x + 2.8y + 2x + 2.2y$

We regroup the like terms to obtain,

$Perimeter = 5x + 4x +2x + 2.8y + 2.2y$

This will simplify to give us,

$Perimeter = 11x + 5.0y$

$Perimeter = 11x + 5y$

QUESTION 13

The given figure has two pairs of sides that are equal in length and three unequal sides.

The perimeter can be found by adding all the lengths of the sides of the of the figure.

This will give us

$Perimeter = 6b + 5a + 3b + 4 + 3a + 2b + 5a$

We regroup like terms to obtain,

$Perimeter = 6b + 2b+ + 3b + 5a + 5a +3a + 4 +$

This finally simplifies to ,

.
$Perimeter = 11b + 13a + 4 +$

QUESTION 14

This plane figure has four sides that are equal to 4j and two sides that are equal to 2h.

We add all the lengths of the sides of the plane figure to get,

$Perimeter =4j + 4j+ 4j+ 4j + 2h + 2h$

This will simplify to give us,

$Perimeter =16j + 4h$

6 0

3 years ago