An equation is formed of two equal expressions. The value of the constant of proportionality is 0.41.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given there exists a proportional relationship between the number of juice bottles bought, j, and the total cost in dollars and cents. Therefore,
c ∝ j
c = kj
As the relation is represented by the equation c=0.41j. Therefore, the value of the constant of proportionality is 0.41.
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To be a function, it has to pass the vertical line test, which means a vertical line drawn anywhere in the graph should cut the graph only once, not more.
To be a one-to-one function, it has to pass the vertical line test as well as the horizontal line test, which means that a horizontal line drawn anywhere in the graph should cut the graph only once, not more.
<em>Of course, it passes the vertical line test, so its a function. </em>
<em>Does it pass the horizontal line test? </em><em>NO! </em><em>As shown in the attached picture, the blue line (horizontal line) cuts the graph at 3 places. We therefore eliminate choices A and B. We can eliminate choice C because nowhere is it required a function to pass through the origin for it to be one-to-one. Hence, the answer is D (blue line shows this).</em>
<em>ANSWER: D</em>
The answers to the question are
b. (l + 2f) (w + 2f)
c. f + 4, f + 6
d. 52.25
a. The diagram is an attachment.
<h3>B. How to solve for the binomial multiplication</h3>
The equation says
(l + 2f) (w + 2f)
We have the lengths of w and l as 8 and 12 respectively. Hence we have
(8 + 2f) (12 + 2f) as the area
c. (8 + 2f) (12 + 2f)
= 96 + 16f + 24f + 4f²
= 4f² + 40 f + 96
We have to factorize this using the quadratic equation calculator
f + 4, f + 6
= f = -4 and f = -6
d. If it is 1.25 thick we would have
1.25 x 2 = 2.5
12 - 2.5 = 9.5
8 - 2.5 = 5.5
Area = l * w
= 5.5 * 9.5
= 52.25
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Answer:
(5^4)^2
Step-by-step explanation:
Answer:
3(5+x)
Step-by-step explanation:
Another expression that can equal 15+3x is 3(5+x)
<u>Use Distributive Property:</u>
3(5+x)
=15 + 3x.
I wish you the best of luck, and hopefully this is an option on your homework!