Answer:
<em>5</em>
Step-by-step explanation:
General equation of direct variation:
y = kx,
where k is the constant of proportionality.
In your case, you have
y = 5x, so 5 is the constant of proportionality.
Answer:
-2/5
Step-by-step explanation:
The slope of the line can be found by
m= (y2-y1)/(x2-x1)
= (8-10)/(36-31)
= -2/5
One way to compare quantities is with fractional numbers that represent quantities using divided numbers.
<h3>What is a fraction?</h3>
Fractional number is a mathematical concept that refers to a quantity divided by another quantity. Common fractions are made up of: numerator, denominator and dividing line between them (horizontal or oblique bar).
- The denominator "b" expresses the number of equal parts that represent the unit.
- The numerator "a" indicates how many of them are taken.
Some examples of fractional numbers are:
Note: This question is incomplete because there is some information missing. However I can answer it based on my general prior knowledge.
Learn more about fractional numbers in: brainly.com/question/13398430
I will assume that you meant:
(x+4)/(-3x^2+12x+36) factor the denominator...
(x+4)/(-3(x^2-4x-12))
To factor a quadratic of the form ax^2+bx+c you need to find two values, j and k, which satisfy two conditions...
jk=ac=-12 and j+k=b=-4 so j and k must be 2 and -6 and the factors are then:
(x+2)(x-6) so we are now left with:
(x+4)/(-3(x+2)(x-6))
The only restriction on this function is that division by zero is undefined, so x cannot equal -2 or 6
The dozen is 36...36/8= 4.5. So 1.5x4.5=6.75 which converts to 6 3/4 teaspoons