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3 years ago

Use synthetic substitution to evaluate the polynomial for the given value x = -3. P(x) = 2x2 + 7x - 1

1 answer:

7 0

I'm assuming that is 2x squared, and not 2 multiplied by 2, as a given question usually wouldn't come in such a silly format. I do wish people would start using (2x^2) or (2x²), though.

Just substitute the value of x (-3) in to the equation to find the value of y, or P(x).

2(-3)² + 7(-3) - 1 = -4

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1/4 to the 4th power

DENIUS [597]

Answer:

(1/4)^4

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

PLEASE HELP SUPER EASY!!!

Effectus [21]

A1. 12 i.e option D

A2. 3n-7 i.e option A

A3. -6n+20 i.e option D

A4. -70 i.e option C

Step-by-step explanation:

aₙ = a₁ + (n - 1) × d

aₙ = the nᵗʰ term in the sequence

a₁ = the first term in the sequence

d = the common difference between terms

Using the above formula to solve the first part, we have :

-8 = a₁ + (2-1) × 5

-13 = a₁

a₆ = -13 + (6-1) × 5

a₆ = 12

For the second part, we have :

aₙ = -4 + (n-1)×3

aₙ = -4 + 3n -3

aₙ = 3n-7

For the third part, we have :

a₁=14 ; d=-6

aₙ = 14 + (n-1)×(-6)

aₙ = -6n + 20

For the fourth part, we have :

aₙ = 14 + (15-1)×(-6)

aₙ = -70

7 0

3 years ago

Use elimination to solve the system of equations. 3x – 5y = –9 x + 2y = 8

nalin [4]

Answer:

x=2

y=3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)

statuscvo [17]

In a right triangle, we haev some trigonometric relationships between the sides and angles. Given an angle, the ratio between the opposite side to the angle by the hypotenuse is the sine of this angle, therefore, the following statement

$\sin (\theta)=\frac{3}{5}$

Describes the following triangle

To find the missing length x, we could use the Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse. From this, we have the following equation

$x^2+3^2=5^2$

Solving for x, we have

$\begin{gathered} x^2+3^2=5^2 \\ x^2+9=25 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt[]{16} \\ x=4 \end{gathered}$

The missing length of the first triangle is equal to 4.

For the other triangle, instead of a sine we have a tangent relation. Given an angle in a right triangle, its tanget is equal to the ratio between the opposite side and adjacent side.The following expression

$\tan (y)=\frac{12}{5}$

Describes the following triangle

Using the Pythagorean Theorem again, we have

$5^2+12^2=h^2$

Solving for h, we have

$\begin{gathered} 5^2+12^2=h^2 \\ 25+144=h^2 \\ 169=h^2 \\ h=\sqrt[]{169} \\ h=13 \end{gathered}$

The missing side measure is equal to 13.

Now that we have all sides of both triangles, we can construct any trigonometric relation for those angles.

The sine is the ratio between the opposite side and the hypotenuse, and the cosine is the ratio between the adjacent side and the hypotenuse, therefore, we have the following relations for our angles

$\begin{gathered} \sin (\theta)=\frac{3}{5} \\ \cos (\theta)=\frac{4}{5} \\ \sin (y)=\frac{12}{13} \\ \cos (y)=\frac{5}{13} \end{gathered}$

To calculate the sine and cosine of the sum

$\begin{gathered} \sin (\theta+y) \\ \cos (\theta+y) \end{gathered}$

We can use the following identities

$\begin{gathered} \sin (A+B)=\sin A\cos B+\cos A\sin B \\ \cos (A+B)=\cos A\cos B-\sin A\sin B \end{gathered}$

Using those identities in our problem, we're going to have

$\begin{gathered} \sin (\theta+y)=\sin \theta\cos y+\cos \theta\sin y=\frac{3}{5}\cdot\frac{5}{13}+\frac{4}{5}\cdot\frac{12}{13}=\frac{63}{65} \\ \cos (\theta+y)=\cos \theta\cos y-\sin \theta\sin y=\frac{4}{5}\cdot\frac{5}{13}-\frac{3}{5}\cdot\frac{12}{13}=-\frac{16}{65} \end{gathered}$

4 0

1 year ago

The equation y = 7x+25 gives the number of minutes it takes to prepare a meal y given the number of people being served x. Which

klemol [59]

Answer- C. For every extra person served, the time it takes to prepare a meal increases by 7 minutes.

Solution-

y = 7x+25

Where y = the number of minutes it takes to prepare a meal

x = the number of people being served.

If the number of persons increased by one, so x' = (x+1)

Then y' = 7x' + 25 = 7(x+1) + 25 = 7x + 7 + 25 = 7x + 25 + 7 = y + 7

∴ As y gets increased by 7 for every 1 more person , so C is the correct answer.

8 0

3 years ago