I think this is the answer :)
<span>the correct answer is -4 - 0.144337567 i</span>
Combining the like terms, the simplified polynomials are given as follows:
a) 4x² - 14x + 17
b) -5x² - 20x + 8
<h3>How are polynomials simplified?</h3>
Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.
Item a:
4(x - 2)(x + 1) - 5(2x - 5)
Applying the distributive property:
4(x² - x - 2) - 10x + 25
4x² - 4x - 8 - 10x + 25
Combining the like terms:
4x² - 4x - 10x - 8 + 25
4x² - 14x + 17
Item b:
-5(x + 2)² + 28
-5(x² + 4x + 4) + 28
-5x² - 20x - 20 + 28
-5x² - 20x + 8
More can be learned about the simplification of polynomials at brainly.com/question/24450834
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Answer: 500 pieces of wheat
Explanation:
First: set up the proportion
Cookies:wheat = 8:2
Simplify = 4:1
We need to find how much wheat he needs for 2,000 cookies.
We need to assign a variable for wheat
Wheat = W
If Josh needs to make 2,000 cookies he would need W amount of wheat
Original proportion = 4:1
For 2,000 cookies = 2,000:W
To get from 4 to 2,000
2,000/4 = 500
So W/1 = 500
Isolate the variable:
w/1 (1) = 500/1
W = 500
Add the numbers: 3+17 = 20
-x + 5 < -1/20
Apply the fraction rule: -a/b = - a/b
-x + 5 < - 1/20
Subtract 5 from both sides
-x + 5 - 5 < 1/20 - 5
Simplify
-x< - 101/20
Multiply both sides by -1 (reverse the inequality)
(-x) (-1) > (-101/20) (-1)
x> 101/20 is the final answer
