QUESTION IMAGE
Question
17 multiple choice 1 point multiply (2x - 3)(5x + 7) 10x² - x - 21 10x² + 29x - 21 10x² + x - 21 10x² - 21 10x² - 29x - 21
Response
Question 15
Step1: Divide both sides by 7
$\frac{7(3x - 10)}{7} = \frac{98}{7}$
$3x - 10 = 14$
Step2: Add 10 to both sides
$3x - 10 + 10 = 14 + 10$
$3x = 24$
Step3: Divide by 3
$\frac{3x}{3} = \frac{24}{3}$
$x = 8$
Step1: Find x-intercept (set y=0)
$6x - 5(0) = 210$
$6x = 210$
$x = 35$
Step2: Find y-intercept (set x=0)
$6(0) - 5y = 210$
$-5y = 210$
$y = -42$
Step1: Apply FOIL method
$(2x)(5x) + (2x)(7) + (-3)(5x) + (-3)(7)$
Step2: Simplify terms
$10x^2 + 14x - 15x - 21$
Step3: Combine like terms
$10x^2 - x - 21$
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