1.) 6+ (2 x 7+5) = 6+(+5) = 6 + -

P(x)=Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,12).

Mila [183]

Answer:

The polynomial is:

$p(x) = -x^3 - 2x^2 + 5x + 6$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

Zeros of −3, −1, and 2

This means that $x_1 = -3, x_2 = -1, x_3 = 2$ . Thus

$p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)$

$p(x) = a(x - (-3))*(x - (-1))*(x-2)$

$p(x) = a(x+3)(x+1)(x-2)$

$p(x) = a(x^2+4x+3)(x-2)$

$p(x) = a(x^3+2x^2-5x-6)$

Passes through the point (1,12).

This means that when $x = 1, p(x) = 12$ . We use this to find a.

$12 = a(1 + 2 - 5 - 6)$

$-12a = 12$

$a = -\frac{12}{12}$

$a = -1$

Thus

$p(x) = -(x^3+2x^2-5x-6)$

$p(x) = -x^3 - 2x^2 + 5x + 6$

6 0

3 years ago

4/4 times 1/2 PLEASE HURRY ILL MARK BRAINLIEST

mars1129 [50]

Answer: 1/2

Step-by-step explanation:4

4

×

1

2

=

1

2

Result in decimals: 0.5

Calculation steps:

4

×

1

2

=

4 × 1

4 × 2

=

4

8

=

4 ÷ 4

8 ÷ 4

=

1

2

Further explanation

For the problem:

4

×

1

2

= ?

Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

4 × 1

4 × 2

=

4

8

The Greatest Common Factor (GCF) of 4 and 8 is 4. The result can be simplified by dividing both the numerator and denominator by 4.

4

8

=

4 ÷ 4

8 ÷ 4

=

1

2

The result is:

4

×

1

2

=

1

2

8 0

3 years ago

Read 2 more answers

I need help now it's an emergency please help me with this

marshall27 [118]

Answer:

Population of the 48th generation will be 4469.

Step-by-step explanation:

Recursive formula by which the population is increasing,

$L_{n+1}=L_n+95$

L₀ = 4

Common difference 'd' = 95

Recursive formula represents a linear growth in the population.

Therefore, explicit formula for the given sequence will be,

$L_n$ = L₀ + (n - 1)d [Explicit formula of an Arithmetic sequence]

Here n = Number of terms

L₄₈ = L₀ + (48 - 1)(95)

= 4 + 4465

= 4469

Therefore, population of the 48th generation will be 4469.

4 0

3 years ago

Nicole runs each lap in 4 minutes. She will run more than 24 minutes today. What are the possible numbers of laps she will run t

sdas [7]

7 or more laps. you can find this by multiplying 6 x 4 & anything above that would work too

7 0

3 years ago

Read 2 more answers

Evaluate the expression 3 + m if m = 4.

Drupady [299]

Answer:

7

Step-by-step explanation:

3 + m =

3 + 4 =

7

5 0

2 years ago

1.) 6+ (2 x 7+5) = 6+(+5) = 6 + -​

1.) 6+ (2 x 7+5) = 6+(+5) = 6 + -