The difference of the fraction is
by using equivalent expressions.
<h3>What is a number line?</h3>
A number line is a diagrammatic representation of real numbers on the graduated line. It ranges from negative axis to positive axis with 0 being the center position.
A sketch showing the representation of the difference in the mixed fractions can be seen in the image attached below.
Using equivalent expressions to determine the difference between the mixed fractions, we have;




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Answer:
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Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using the method of completing the square.
Given
f(x) = 3x² - 24x + 10
We require the coefficient of the x² term to be 1 , thus factor out 3
3(x² - 8x) + 10
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
= 3(x² + 2(- 4)x + 16 - 16) + 10
= 3(x - 4)² + (3 × - 16) + 10
= 3(x - 4)² - 48 + 10
= 3(x - 4)² - 38, thus
f(x) = 3(x - 4)² - 38 ← in vertex form
In a function, each x-value or independent value must only have 1 corresponding y-value or dependent value. On the other hand, in a relation, the independent value may have more than 1 corresponding dependent value. A function is a more specific case of a relation.
Answer:
I think you mean: x^2 + 3x - 10, then
x^2 + 3x - 10
= x^2 + 5x - 2x - 10
=x(x + 5) - 2(x + 5)
=(x - 2)(x + 5)
Hope this helps!
:)