Answer:
2.4 hours
Step-by-step explanation:
2.4 hours
The quotient is x^3 + 4x^2 -x + 1.
Solution:
By polynomial grid division, we start by the divisor 3x + 10 placed on the column headings.
3x 10
x^3 3x^4
We know that 3x^4 must be in the top left which means that the first row entry must be x^3. So the row and column multiply to 3x^4. We use this to fill in all of the first row, multiplying x^3 by the terms of the column entries.
3x 10
x^3 3x^4 10x^3
4x^2
We now got 10x^3 though we want 22x^3. The next cubic entry must then be 12x^3 so that the overall sum is 22x^3.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3
Now we have 40x^2, so the next quadratic entry must be -3x^2 so that the overall sum is 37x^2.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3 40x^2
-x -3x^2 -10x
This time we have -10x, so the next linear entry must be 3x so that the overall sum is 7x.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3 40x^2
-x -3x^2 -10x
1 3x 10
The bottom and final term is 10, which is our desired answer. Therefore, we can now read the quotient off the first column:
3x^4+22x^3+37x^2-7x+10 / 3x + 10 = x^3 + 4x^2 -x + 1
Answer:
Greg won 42 pieces of gum
Step-by-step explanation:
The scientific notation of 70, 030, 000.
To find the scientific notation of this value
<span><span>
1. </span>We first
move the period which separates the whole number from the decimal number which
is located after the numbers of the given value.</span>
<span><span>2. </span>We move it
in the very recent order number which is seventy million, seven and zero.</span>
<span><span>
3. </span>It becomes
7.003</span>
<span><span>4. </span>Thus we
count how many moves we did from the tens to the ten million order place.</span>
<span><span>
5. </span>7.003 x
10^7 </span>
<span>Given that,
y = mx + b ...... (1)
then the point-slope form make sense as a name for,
y - y1 = m(x-x1) .......(2)
Equation (1) we get,
y = mx + b
b = y - mx ....... (3)
m is a slope
b is the y-intersect
(x1,y1) is the points
Solve the equation (2),
y - y1 = m(x - x1)
y - y1 = mx - mx1
y = mx - mx1 + y1
y = mx + (y1 - mx1)
y = mx + b ......... (4) (use equation (3))
Therefore we prove the y = mx - b</span>
