Answer:
Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.
Step-by-step explanation:
Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time. Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6. Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'. Plugging in these values will give us the final equation f(x)=35(1.6)^x.
Answer:
3
Step-by-step explanation:
9 divided by 3 is 3
So, you can multiply 3/2 by 3 to get 9/2
Hope this helps! :)
The equivalent expression to the given expression 25x²+16−40x−64y² are; (5x-4)²−64y² and (5x−4−8y)(5x+4+8y)
<h3>Difference of two squares</h3>
According to the question:
- We are required to determine the equivalent expression.
When we try to factorise the given expression systematically; we have;
- 25x²+16−40x−64y² = (25x²+16−40x)−64y²
By the difference of two squares concept;
Therefore, an equivalent expression is; (5x-4)²−64y²
Similarly, (5x-4)²−64y² is the difference of two squares and can be rewritten as; (5x−4−8y)(5x+4+8y)
Hence, we have the suggested expressions as equivalent expressions.
Learn more about equivalent expression:
brainly.com/question/2972832
Conjecture
is an educated guess based on known information. Reached by using inductive reasoning
