You're being asked to divide 6x^3 - 19x^2 + 16x - 4 by x - 2.
Try using synthetic division, if you know it:
_______________
2 / 6 -19 16 -4
12 -14 4
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6 -7 2 0
6, -7 and 2 are the coefficients of the quotient. The quotient (answer to this question) is
6x^2 - 7x + 2
You haven't shared the given line, so all I can do here is to invent a line and then show you how to write the equation of a new line which is parallel to mine and which has an x-intercept of 4.
My invented line: y = (2/3)x + 3
The new line MUST have the same slope: m = 2/3.
Then y = mx + b becomes y = (2/3)x + b. Find the x-intercept by setting y = 0 and solving for x: (2/3)x = 0 - b. Now replace x with 4 and find b:
-b = (2/3)(4) = 8/3. Then b = -8/3, and the new line is
y = (2/3)x - 8/3.
Let's convert one of these numbers:
1 foot = 12 inches
9 feet were 9*12=108 inches
so the ratio would be 42: 108
or we can simplify it: divide by 2:
21:54
divide by 3:
7:18
A ratio always stays the same no matter the unit or currency, so it doesn't matter which unit we convert it to.
Answer:
Exact form: 5/2
Decimal form: 2.5
Mixed number form: 2 and 1/2
Step-by-step explanation:
when you divide a fraction you keep, change, flip
Equation: 5/8 ÷ 1/4
keep 5/8 the same
change the divide symbol into a multipulcation symbol
flip 1/4 the other way, so it's 4/1 (it's a whole number now)
then just multiply across
Equation now: 5/8 × 4/1
Answer:
200 tax 33
Step-by-step explanation:
