Answer:
(0,0)
Step-by-step explanation:
Y = 2x is a <u>proportional</u> relationship because it follows the form y = kx, where k = constant of proportionality. Proportional relationships intersect the y-axis at (0,0), thus having a y-intercept of 0, but we usually don't write the 0.
Given the information above, y = 2x intersects the y-axis at (0,0), the origin.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Using translation concepts, it is found that the transformations to create function d are given as follows:
- Horizontal shift right 1 unit.
- Vertical shift up 5 units.
- Frequency multiplied by 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent cosine function is given by:
f(x) = cos(x).
The translated function is given by:
d(x) = cos(2x - 1) + 5.
Which means that:
- 1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.
- 5 was added in the range, hence there was a vertical shift up 5 units.
- There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
4). 
Step-by-step explanation:
The Given expression is that,
On simplifying,
= 
= 
= (2×2×2) × (
× × )
=
Thus, <u>option 4</u> i.e. is the correct simplification of the given expression.
Answer:
B. $3.45
Step-by-step explanation:
Number of cases of soda bought = 12
Total bill payed = $41.40
Let x represent the cost of 1 case.
Thus:
12x = $41.40
Divide both sides by 12
12x/12 = 41.40/12
x = 3.45
Cost of each case = x = $3.45
