Hi there!
The question is asking us to simplify the expression (x² + 3x - 7)(2x - 5) and write the answer in standard form. Here is how you do that -
Original: (x² + 3x - 7)(2x - 5)
Break it apart - [(x² + 3x - 7)(2x)] + [(x² + 3x - 7)(-5)]
Simplify -
2x³ + 6x² - 14x - 5x² - 15x + 35
Now, combine like terms -
2x³ + x² - 29x + 35
Therefore, the answer to your query is 2x³ + x² - 29x + 35. Hope this helps!
Answer:
m<−5
Step-by-step explanation:
Step 1: Flip the equation.
m+4<−1
Step 2: Subtract 4 from both sides.
m+4−4<−1−4
m<−5
Hope this helped <3
Answer: x^3 - 1 = (x - 1)(x^2 + x + 1)
Explanation:
This is a type of factorizing called the sum or difference of 2 cubes:
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
The sum of the cubes is factored as:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
In this case, we have: x^3 - 1 so follow the rule above.
x^3 - 1 = (x - 1)(x^2 + x + 1)
The standard deviation is 1.43 below the mean
<h3>How to determine the number of standard deviation?</h3>
The given parameters are:
Mean = 98.249
Standard deviation = 0.733
x = 97.2
To calculate the number of standard deviation below the mean, we use

So, we have:

Evaluate the like terms

Divide both sides by -0.733
n =1.43
Hence, the standard deviation is 1.43 below the mean
Read more about standard deviation at:
brainly.com/question/15858152
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Answer:
x = -14
Step-by-step explanation:
= -7
multiply 2 on both sides
the 2's cancel out on the fraction side, leaving x = -7(2)
multiply -7 and 2 to get -14
x = -14