Answer:
A.
Step-by-step explanation:
We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope <em>m.</em> Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:
Thus, the slope is -4.
Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:
Where (x1, y1) is a coordinate pair and m is the slope.
Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:
This is also slope-intercept form. The answer is A.
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Simplify -5x + 12 - 7x to -12x + 12
-12x + 12 = -3(5x + 8)
Expand
-12x + 12 = -15x - 24
Add 15x to both sides
-12x + 12 + 15x = -24
Simplify 12x + 12 + 15x to 3x + 12
3x + 12 = -24
Subtract 12 from both sides
3x = -24 - 12
Simplify -24 - 12 to -36
3x = -36
Divide both sides by 3
x = -36/3
Simplify 36/3 to 12
<u>x = -12</u>
<h3>(x + 7)² = x² + 14x + 49</h3>
The true statement that show the closure property of multiplication :
<h3>a. x² + 14x + 49 is a polynomial</h3>
<h3>Further explanation</h3>
<em>If equation ax³ + bx² + cx + d = 0 has roots x₁ , x₂ , and x₃ then</em>
Let us now tackle the problem!
This problem is about Polynomial.
is a polynomial.
is polynomial.
It demonstrates the closure property of multiplication.
<h3>Conclusion:</h3>
<em>The true statement that show how the product of (x + 7)² demonstrates the closure property of multiplication:</em>
<h3>a. x² + 14x + 49 is a polynomial</h3>
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Polynomial
Keywords: Quadratic , Equation , Discriminant , Real , Number
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