Answer: 3583.37 ≈ 3500
Step-by-step explanation:
<span>I note that this problem starts out with "Which is a factor of ... " This implies that you were given several answer choices. If that's the case, it's unfortunate that you haven't shared them.
I thought I'd try finding roots of this function using synthetic division. See below:
f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation. Thanks.
Possible zeros of this poly are factors of 35: plus or minus 1, plus or minus 5, plus or minus 7. Use synthetic division; determine whether or not there is a non-zero remainder in each case. If none of these work, form rational divisors from 35 and 6 and try them: 5/6, 7/6, 1/6, etc.
Provided that you have copied down the function
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35 properly, this approach will eventually turn up 1 or 2 zeros of this poly. Obviously it'd be much easier if you'd check out the possible answers given you with this problem.
By graphing this function, I found that the graph crosses the x-axis at 7/2. There is another root.
Using synth. div. to check whether or not 7/2 is a root:
___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0
Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.
Answer:
From left column to right
Left Right
1. 23a+18 1. 7a-6
2. 23a-6 2. 7a-18
3. 23a-18 3. 7a+6
4. 0a+4 4. 0a+0
Step-by-step explanation:
The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3
Answer is 15a+6+8a+12=
23a+18
Hope this helped :)
Answer:
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + b
We need to find the slope, m, and the y-intercept, b.
The line we need is perpendicular to the line 2x + y = 8.
<em>The slopes of perpendicular lines are negative reciprocals.</em>
We solve the given equation for y to find the slope of the given line.
2x + y = 8
y = -2x + 8
The given line has slope -2.
The negative reciprocal of -2 is 1/2.
Our line has slope, m = 1/2.
Now we have
y = 1/2 x + b
Now we use the given point, (-2, 3), for x and y, using x = -2, and y = 3, and we solve for b.
y = 1/2 x + b
3 = 1/2 * (-2) + b
3 = -1 + b
4 = b
b = 4
Now we have
y = 1/2 x + 4
Answer:
-10, -1.75, -3/4, 1/2, 3, 9
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-3/4 converts to -0.75,
and 1/2 converts to 0.5. With -10 being farthest from zero on the number line, it would be the smallest. -1.75 would be the second smallest. Keeping in mind that -3/4 converts to -0.75, it would be the 3rd smallest. 1/2, or 0.5 would be greater, as it is the smallest POSITIVE number. Then you do 3, as it as a whole number, but still not the greatest. 9 would be the greatest.
hope i was helpful;-)
