hey
let s note a and b the two numbers
we can write
(1) a = 2b - 2
(2) ab = 40
from (2) we can say for b different from 0 that
a = 40/b
replace it in (1)
40/b=2b-2
so
2(b-1)b = 40
b(b-1) = 20
![b^2-b-20 = 0](https://tex.z-dn.net/?f=b%5E2-b-20%20%3D%200)
5 is a trivial solution and as the product of the two solutions is -20 then the second solution is -4 therefore
![b^2-b-20 = 0](https://tex.z-dn.net/?f=b%5E2-b-20%20%3D%200)
<=> (b-5)(b+4) = 0
<=> b = 5 or b = -4
so we have
a= 40/b = 8 and b = 5
or
a = 40/b = -10 and b = -4
(8,5) and (-10.-4) are solutions
do not hesitate if you have any question
thanks
![Domain \\ \\ m=\{0,1,2\}](https://tex.z-dn.net/?f=Domain%20%5C%5C%20%5C%5C%20m%3D%5C%7B0%2C1%2C2%5C%7D)
<h2>
Explanation:</h2><h2 />
From this exercise, we know that a biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
![f(m) = 4(1.08)m](https://tex.z-dn.net/?f=f%28m%29%20%3D%204%281.08%29m)
At the beginning of her study the month can be represented by
and at the end of the study the length of the fish was approximately 6.86 cm, so substituting this value into the equation we get the month at which the length was 6.86 cm:
![6.86=4(1.08)m \\ \\ m=\frac{6.86}{4.32} \\ \\ m\approx 1.59 \\ \\ So \ we \ can rounded \ off \ to \ m=2](https://tex.z-dn.net/?f=6.86%3D4%281.08%29m%20%5C%5C%20%5C%5C%20m%3D%5Cfrac%7B6.86%7D%7B4.32%7D%20%5C%5C%20%5C%5C%20m%5Capprox%201.59%20%5C%5C%20%5C%5C%20So%20%5C%20we%20%5C%20can%20rounded%20%5C%20off%20%5C%20to%20%5C%20m%3D2)
So a reasonable domain is the set of m-values for which the function is defined:
![Domain \\ \\ m=\{0,1,2\}](https://tex.z-dn.net/?f=Domain%20%5C%5C%20%5C%5C%20m%3D%5C%7B0%2C1%2C2%5C%7D)
In other words, the study lasts three months.
<h2 /><h2>Learn more:</h2>
Exponential functions: brainly.com/question/1542578
#LearnWithBrainly
Answer:
It's called a Diophantine Equation, and it's sometimes known as the “summing of three cubes”: Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. One answer is x = 1, y = -1, and z = 2.
Step-by-step explanation:
Answer:
Your answer would be A. f(-2) = -10.
Step-by-step explanation:
f(-2) = 3(-2) - 4
f(-2) = -6 - 4
f(-2) = -10
Hope this is helpful.