Step-by-step explanation:
they're is a neat little trick.
but first of all, "roots" means the 0 solutions of the equation. like
ax² + bx + c = 0
there are 2 solutions for x to make the whole expression equal 0.
these are the "roots".
now to the little trick :
when is a multiplication resulting in 0 ?
when at least one of the factors is 0.
and any quadratic expression can be written as multiplication of 2 factors. like
c(x - a)(x - b) = cx² - cax - cbx + cab
what are the "roots" or 0 points ?
either
c = 0
x - a = 0 | x = a
x - b = 0 | x = b
the leading coefficient = 3.
that means nothing else than c = 3.
root = 1 means (x - 1) is one factor.
root = -5 means (x + 5) is the other factor.
so, we have
3(x - 1)(x + 5) = 3x² + 12x - 15
and the equation is
3x² + 12x - 15 = 0
or
3x² + 12x = 15
Answer:
the distance
Step-by-step explanation:
More time care travels, more distance it goes. So distance depends of the time.
Answer:
E
Step-by-step explanation:
The missing value of the solution to the equation y = −2x + 4, is: 3.
<h3>What is the Solution to an Equation?</h3>
The solution to a given equation, is the x and y values of an ordered pair that would make the equation true, if we substitute their values into the equation.
Given the equation, y = -2x + 4, and we have (x, -2) as the solution where the value of x is the missing value in the solution, to find the value of x, substitute y = -2 into the equation and solve for x:
-2 = -2x + 4
Subtract 4 from both sides
-2 - 4 = -2x + 4 - 4 (subtraction property of equality)
-6 = -2x
Divide both sides by -2
-6/-2 = -2x/-2
3 = x
x = 3
Therefore, the missing value is: 3.
Learn more about the solution to an equation on:
brainly.com/question/25678139
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Answer:
Make sure you convert these numbers into one unit. Convert everything to yard. Just convert the feet and inches in yard since it's the biggest unit, and then add them together. You should get a fraction not a whole number.
