It's a combination,
there are 2 "e" s, 1"y", and 1"s"
there are 4 letters in total
if there weren't repeats you could write 4! (4*3*2*1)
but since the "e"s repeat you have to write it
4!/2! which equals 4*3*2*1/2*1 so 12
¹/₃(33x + 15) - ¹/₃(21x + 18) = 10
¹/₃(33x) + ¹/₃(15) - ¹/₃(21x) - ¹/₃(18) = 10
11x + 5 - 7x - 6 = 10
11x - 7x + 5 - 6 = 10
4x - 1 = 10
+ 1 + 1
4x = 11
4 4
x = 3³/₄
Answer:
a. The value of the constant k is 21
b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.
Step-by-step explanation:
a.
<em>A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses.
</em>
The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:
<em>105=k*5
</em>
<em>k=21
</em>
<u><em>So the value of the constant k is 21.</em></u>
b.
<em>As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.</em>
This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".
30-8=22 but I’m not sure about the graph part
Determine the power by looking at the numerator of the exponent.
Determine the root by looking at the denominator of the exponent.
Using the base as the radicand, raise the radicand to the power and use the root as the index.
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