Answer:
Step-by-step explanation:
The two ringtones will cost her a total of 
and is a fixed amount. The relationship between the cost and number of songs only is 
and therefore the answer is 
. You can also directly find the answer by finding the y-intercept (in this case 
), as no other answer choices include the term , so A must be the correct answer.
Given the equation: (km / 3) - 2x = 4, it is essential to isolate x to obtain the expression to solve it. This is done below:
(km / 3<span>) - 2x = 4
</span>
Adding 2x to both sides:
(km / 3<span>) - 2x + 2x = 4 + 2x
</span>(km / 3<span>) = 4 + 2x
</span>
Subtracting 4 from both sides:
(km / 3<span>) - 4 = 4 + 2x - 4
</span>(km / 3<span>) - 4 = 2x
</span>
Dividing 2 from both sides:
[(km / 3<span>) - 4] /2 = 2x /2
</span>[(km / 3<span>) - 4] /2 = x
</span>x = (km / 6) - 2
Given that the bacteria has been modeled by the function:
r(t)=(450.267)e^(1.12567t)
thus the number of bacteria after 3 hours will be:
r(3)=450.267e^(1.12567×3)
r(3)=13,185.20623
The number of bacteria after 3 hours will be:
13, 185.20623
<h2><u>Answer (d</u>) :</h2>
These triangles are congruent under the SAS congruence criterion. We can prove it using the following steps :
Given :
In triangle 1 and 2 :
- A side in triangle 1 and a side in triangle 2 are equal.
- Another side in triangle 1 and triangle 2 is equal.
- The angle between the equivalent sides is also equal.
Since the SAS congruence criterion says that two triangles are congruent if two of their sides and one included angle is equal and since these 2 triangles fulfill all of those rules, we can conclude that these triangles are congruent under the SAS congruence criterion.
