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Tcecarenko [31]
4 years ago
14

3. A quadratic polynomial whoseproduct and the sum ofzéroes are -12 and 1​

Mathematics
1 answer:
muminat4 years ago
3 0

Answer:

the equation is : x²-x-12

Step-by-step explanation:

the quadratic equation is in the form of : y=ax²+bx+c

the product of the zeros is -12 and the sum is 1

b  = - 1

c=-12 (product)

y=x²-x-12

check : factorize first (x+3)(x-4)=0

either x+3=0 then x=-3

or x-4=0 then x=4

-3*4=-12

-3+4=1

the equation is : x²-x-12

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The solution to the equation is (5, 250) which is the point of intersection.

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What is the wave speed of a wave that has a frequency of 200 Hz and a wavelength of 0.40 m?
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7 0
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Read 2 more answers
Given the function f ( x ) = 4 x 2 − 5 x + 7 f ( x ) = 4 x 2 - 5 x + 7 . Calculate the following values: f ( − 2 ) = f ( - 2 ) =
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Given the function f(x) = 4x² - 5x + 7, the output values of f(-2), f(-1), f(0), f(1) and f(2) are 33, 16, 7, 6 and 13 respectively.

<h3>What are the output values of the given numbers in the function?</h3>

Given the function is the question;

  • f(x) = 4x² - 5x + 7
  • f(-2) = ?
  • f(-1) = ?
  • f(0) = ?
  • f(1) = ?
  • f(2) = ?

To determine the output value of f(-2), replace all occurrence of x with -2 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(-2) = 4(-2)² - 5(-2) + 7

f(-2) = 4×4 + 10 + 7

f(-2) = 16 + 10 + 7

f(-2) = 33

To determine the output value of f(-1), replace all occurrence of x with -1 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(-1) = 4(-1)² - 5(-1) + 7

f(-1) = 4×1 + 5 + 7

f(-1) = 4 + 5 + 7

f(-1) = 16  

To determine the output value of f(0), replace all occurrence of x with 0 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(0) = 4(0)² - 5(0) + 7

f(0) = 0 + 0 + 7

f(0) = 7  

To determine the output value of f(1), replace all occurrence of x with 1 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(1) = 4(1)² - 5(1) + 7

f(1) = 4×1 - 5 + 7

f(1) = 4 - 5 + 7

f(1) = 6  

To determine the output value of f(2), replace all occurrence of x with 2 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(2) = 4(2)² - 5(2) + 7

f(2) = 4×4 - 10 + 7

f(2) = 16 - 10 + 7

f(2) = 13

Given the function f(x) = 4x² - 5x + 7, the output values of f(-2), f(-1), f(0), f(1) and f(2) are 33, 16, 7, 6 and 13 respectively.

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3 0
2 years ago
which of the following can not be probabilities? 1, -0.56, square root of 2, 3/5, 1.23, 0, 5/3, 0.02??
Katarina [22]

It is important to know that probabilities are defined insed the range [0,1], which means they cannot be outside that set of values.

<h2>Hence, -0.56, square root of 2, 1.23, and 5/3 can't be probabilities because they are outside the range of values.</h2>
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