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vladimir1956 [14]
3 years ago
13

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:

<h2>              a = 2,    b = -1  </h2>

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

 <u>a = 2</u>

<u>b = 1 - 2 = -1</u>

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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

  1. parentheses
  2. exponent
  3. multiplication or
  4. division
  5. addition
  6. subtraction
  • left to right
<h3>let's solve:</h3><h2><u>L.</u><u>H.S</u><u>=</u></h2>
  1. <u>\sf simplify  \: divition:  \\  \tt 14 + 33 + 0.4</u>
  2. <u>\sf simplify \: additio n :  \\  \tt 47.4</u>
<h2><u>≠R.H.S</u></h2>

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

sauce = s

3.5p + 0.45s

3.5 (4) + 0.45(2)

<u>= $ 14.9</u>

3 0
3 years ago
Read 2 more answers
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