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3 years ago

If 1 and -1 are the zeroes of the polynomial p(x) = ax 3 + x 2 − 2x + b, find the values of a and b

Mathematics

1 answer:

vampirchik [111]3 years ago

6 0

Answer:

Step-by-step explanation:

p(x) = ax³ + x² - 2x + b

p(1) = a(1)³ + 1² - 2•1 + b = a + 1 - 2 + b = a + b - 1

a + b - 1 = 0 ⇒ b = 1 - a

p(-1) = a(-1)³ + (-1)² - 2(-1) + b = -a + 1 + 2 + b = - a + b + 3

- a + b + 3 = 0 ∧ b = 1 - a

- a + (1 - a) + 3 = 0

- a + 1 - a + 3 = 0

-2a + 4 = 0

-2a = -4

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If it takes a leopard to run 500 yards in 1/2 a min how how many miles could it run in 2 hours

qaws [65]

Answer:120000

Step-by-step explanation:

bc in a minute their is 60 seconds and if the leoperd runs 500 yards every 30 seconds u would multiply 60 times 2 bc their is 60 min in a hour and u would get 120.then u would multiply that by 2 getting u 240 which is two hours then u would do 500 times 240

6 0

3 years ago

-3/v=-6 simply as much as possible

Aleksandr [31]

Hey!

In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.

<em>Original Equation :</em>
$\frac{-3}{v} = -6$

<em>New Equation {Added Multiply Both Sides by V} :</em>
$\frac{-3}{v} v=-6v$

<em>Solution {New Equation Solved} :</em>
$-3 = -6v$

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.

<em>Old Equation :</em>
$-3 = -6v$

<em>New Equation {Switched} :</em>
$-6v=-3$

Now we'll divide both sides by v to get v on its own.

<em>Old Equation :</em>
$-6v = -3$

<em>New Equation {Added Divide Both Sides by V} :</em>
$\frac{-6v}{v} = \frac{-3}{v}$

<em>Solution {New Equation Solved} :</em>
$v = \frac{1}{2}$

<em>So, this means that in the equation $\frac{-3}{v} =-6$ ,</em> $v = \frac{1}{2}$ .

Hope this helps!

- Lindsey Frazier ♥

3 0

3 years ago

HELP HELP PLEASE I NEED HELP

dimaraw [331]

Answer:

<h2>FALSE</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

PEMDAS

<h3>tips and formulas:</h3>

order of PEMDAS

parentheses
exponent
multiplication or
division
addition
subtraction

left to right

<h3>let's solve:</h3><h2><u>L.</u><u>H.S</u><u>=</u></h2>

<u> $\sf simplify \: divition: \\ \tt 14 + 33 + 0.4$ </u>
<u> $\sf simplify \: additio n : \\ \tt 47.4$ </u>

therefore

<h3>the equality is false</h3>

8 0

3 years ago

Michelle and her father want to make a triangular sail for their boat. The height of the sail will be 24 ft., and the base will

Lemur [1.5K]

Answer:

The area of the triangular sail is 216 ft²

Step-by-step explanation:

Since the sail is triangular, we solve the area using the area of a triangle

Area of triangle = 1/2 of base × height

base is 18 and height is 24

Area = 1/2 × 18 × 24

= 9×24

= 216 ft²

5 0

3 years ago

Need Help

Fofino [41]

Answer:

$ 14.9

Step-by-step explanation:

we can create an equation

use variables:

pies = p

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3.5p + 0.45s

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3 0

3 years ago

Read 2 more answers