-1 + n/2 = -11
HELP
THNX

Answer: x = {-3, -1, 1, 7}

Step-by-step explanation:

f(x) = x⁴ - 4x³ - 22x² + 4x + 21

possible roots are: +/- 1, 3, 7, 21

Let's try x = 1

1  |  1     -4     -22       4       21

  |  ↓      1       -3     -25     -21

     1     -3      -25    -21       0     remainder is 0 so (x - 1) is a factor

(x - 1)(x³ - 3x² - 25x - 21)

Next, let's try x = -1

-1  |  1     -3     -25      -21

   |  ↓     -1        4        21

      1     -4      -21       0     remainder is 0 so (x + 1) is a factor

(x - 1)(x + 1)(x² - 4x - 21)

Then, factor the third polynomial

(x - 1)(x + 1)(x + 3)(x - 7)

Now, set each factor equal to zero and solve each one.

(x - 1) = 0    ⇒     x = 1

(x + 1) = 0   ⇒     x = -1

(x + 3) = 0   ⇒    x = -3

(x - 7) = 0   ⇒     x = 7

Answer:

-3, -1, 1, 7

Step-by-step explanation:

Evaluate the function at each x value in the choices. If the polynomial evaluates to zero, then that x value is a solution.

f(-3) = (-3)^4 - 4(-3)^3 - 22(-3)^2 + 4(-3) + 21 = 0

x = -3 is a solution

f(-1) = (-1)^4 - 4(-1)^3 - 22(-1)^2 + 4(-1) + 21 = 0

x = -1 is a solution

f(0) = (0)^4 - 4(0)^3 - 22(0)^2 + 4(0) + 21 = 21

x = 0 is not a solution

f(1) = (1)^4 - 4(1)^3 - 22(1)^2 + 4(1) + 21 = 0

x = 1 is a solution

f(3) = (3)^4 - 4(3)^3 - 22(3)^2 + 4(3) + 21 = -192

x = 3 is not a solution

f(7) = (7)^4 - 4(7)^3 - 22(7)^2 + 4(7) + 21 = 0

x = 7 is a solution

Answer: 0.17

Step-by-step explanation: To write 17/100 as a decimal, remember that the hundredths place is two places to the right of the decimal point.

This means that 17/100 can be written as the decimal 0.17. Notice that we put the last digit of 19 in the hundredths place.  

Answer:

338.64

Step-by-step explanation:

Multiply 408 by .83 and get 338.64.

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $7500

r = 6% = 6/100 = 0.06

Assuming the interest was compounded annually, then

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 7500(1 + 0.06/1)^1 × 4

A = 7500(1.06)^4

A = $9468.6

The interest that they would have earned after 4 years is

9468.6 - 7500 = $1968.6

Answer:

Jessica cut 8 roses.

Step-by-step explanation:

15-7=8

You have to subtract the amount she cut from the flower garden (15) to the amount which the vase had (7), in which you will get an answer of 8.