Answer:
Slope- intercept form y = 200 x + 500
Step-by-step explanation:
Given that the equation
200x - y + 500 = 0
where y, the number of pairs of skates the factory has in the warehouse, and x be the number of hours
The slope-intercept form
y = m x +C
Given equation 200x - y + 500 = 0
200 x + 500 =y
y = 200 x + 500
Slope of the equation m = 200 and y-intercept 'C' = 500
To find the x intercept of this line, we simply need to set y equal to 0 and solve for x.
8x = 4
Divide both sides by 8.
x = 1/2
<h3><u>The x-intercept of this line is equal to 0.5, or 1/2.</u></h3>
The nearest whole number is <span><span>8</span></span>
When we are looking at rounding, we round to the number that our fraction or decimal is located. So, since we are rounding to the nearest whole number, given our original mixed number (
) our answer will be either 7 or 8.
We can change
to a decimal to equal 7.8 by multiplying both our denominator and our numerator by 2 since 5 * 2 =10, which would change our fraction to
which is the same thing as .8
If we look at 7.8 and want to know if it is closer to 8 or 7, we just remember that when rounding, if it is 5 or above, you round up, anything else, you leave the number in front of it like it is. .8 is above 5 so we round 7 to the whole number 8. So, our answer is 8
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Factors are (3x + 5) and (x - 2). Zeros are -5/3 and 2.
Step-by-step explanation:
- Step 1: Given quadratic equation 3x² - x = 10 ⇒ 3x² - x - 10 = 0
- Step 2: Use factoring method (product and sum rule) to find factors and zeros. So the equation can be written as below.
⇒ 3x² - 6x + 5x - 10 = 0
⇒ 3x(x - 2) + 5(x - 2) = 0
⇒ (3x + 5)(x - 2) = 0 These are the factors of the equation.
- Step 3: Find zeros by equating the factors to 0.
⇒ 3x + 5 = 0 and x - 2 = 0
⇒ x = -5/3 and 2
5 complex roots; 1, 3, or 5 real roots.
Possible rational roots; +/- 1/2, +/- 1, +/- 2, +/-, 3/2, +/- 3, +/- 4, +/- 6, +/- 12