Answer:
f(x) = (3x -2)(2x +1)
Step-by-step explanation:
The procedure for factoring expression of the form ...
ax² +bx +c
is to look for factors of a·c that have a sum of b.
The product a·c is 6·(-2) = -12. You are looking for factors that have a sum of b = -1. From your familiarity with multiplication tables, you know ...
-12 = 1(-12) = 2(-6) = 3(-4)
The sums of the factor pairs in this list are -11, -4, -1. So, the last pair of factors, {3, -4} is the one we're looking for.
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At this point, there are several ways to proceed. Perhaps the simplest is to rewrite the linear term as the sum of terms involving these factors:
-x = 3x -4x
f(x) = 6x² +3x -4x -2
Now, the expression can be factored 2 terms at a time:
f(x) = (6x² +3x) -(4x +2) . . . . . pay attention to signs
f(x) = 3x(2x +1) -2(2x +1) . . . . factor each pair
f(x) = (3x -2)(2x +1) . . . . . . . . factor out the common factor of (2x+1)
Answer:
Step-by-step explanation:
For (a), you will use that 2 points that are closest to lying on the line which are the points located at (1, 14) and (7, 7).
For (b), you will use those 2 points to find the slope of the line using the slope formula:
For (c), you will use point-slope form to write the equation. Point-slope form is
where x and y stay x and y in the equation and x1 and y1 are replaced with one of the coordinates. Let's use (7, 7). Keep in mind that IT DOESN'T MATTER WHICH POINT YOU PICK...YOU WILL GET THE SAME EQUATION WITH EITHER ONE! And this is because both those points lie on the same line...the line for which we will write the equation.
We have m = -1.167, y = 7 and x = 7:
y - 7 = -1.167(x - 7)
That's the point-slope form of the line, but rarely is it ever left in that form. I've only seen it left in point-slope form in calculus. Most of the time, from point-slope form, you are asked to put it into slope-intercept form, and here is no exception. Putting the equation into slope-intercept form is the same thing as solving it for y. So let's get y all by itself on one side of the equals sign and everything else over on the other side. We also of course need to distribute into the parenthesis:
y - 7 = -1.167x + 8.169 and
y = -1.167 + 8.169 + 7 so
y = -1.167 + 15.169
That's your equation in slope-intercept form, so you're done!
1: Subtract 15 from both sides. 5x=13.
2: Divide both sides by 5.
Answer: 2.6, which is equal to 13/5. The answer is B.
I think you forgot to add a picture.
Answer: It's wrong
Step-by-step explanation:
It's wrong wrong wrong