If she puts 0 in the box she would have a direct variation.
Lydia writes the equation y = 5x - __ with a missing value.
She puts a value in the box and says that the equation represents a direct variation.
We have to choose the correct option from the given options that explain that the equation could represent a direct variation.
When two variables are such that one is a constant multiple of the other, we said they are in Direct variation.
<h3>What is the
direct variation?</h3>
In form of y = ax, where y and x are in direct variation.
Consider the given equation y = 5x - __
For the equation to be in direct variation the value of the missing term has to be 0.
then the equation becomes,
y = 5x
Thus, If she puts 0 in the box she would have a direct variation.
Option (a) is correct.
To learn more about the direct variation visit:
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Apothem is the height of a triangel formed by two consecutive vertices with the center. the are of this triangle = 1/2 s 8 = 4s
there area 12 such triangles in the regular 12 side polygon
So area = 12 * 4 s = 48 s
Answer: $5.1
Step-by-step explanation:
From the question, we are informed that thee price of the skateboard is $85 and that the sales tax is 6%.
To calculate the sales tax for the skateboard in dollars in cents, we find 6% of$85. This will be:
= 6% of $85
= 6% × $85
= 6/100 × $85
= 0.06 × $85
= $5.1
= 5 dollar, 10 cents
The resulting function g(x) is ...
g(x) = f(x +1)
g(x) = (((x +1) +1)(x +1) -2)(x +1) +1
= ((x +2)(x +1) -2)(x +1) +1
= (x² +3x)(x +1) +1
= x³ +4x² +3x +1
The shifted function g(x) is ...
g(x) = x³ +4x² +3x +1
