Answer:
(-4,2) belongs in this direct variation.
Step-by-step explanation:
Let the direct variation relationship is expressed by the equation y = mx ........ (1), where x and y are in direct variation and k is the variation constant.
Now, the point (4,-2) is included in the direct variation relationship, then from equation (1) we get, -2 = 4m
⇒
Therefore, the equation (1) becomes
⇒ x + 2y = 0 ......... (2)
Now, from the given four options only the point (-4,2) satisfies the relation (2).
Hence, (-4,2) belongs in this direct variation. (Answer)
Answer:
1.400 as a common fraction is 7/5
as a percentage 140%
Step-by-step explanation:
1.4 written as a fraction is;

simplifying we have;

Converting to percentage we simply multiply by 100.

Answer: A) 
B) H = 5.10
C) Yes
Step-by-step explanation: <u>Exponential</u> <u>Decay</u> <u>function</u> is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: 
A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:



Using a natural logarithm property called <em>power rule:</em>



The decay function for concentration of DDT through the years is 
B) The value of H is calculated by 


Again, using power rule for logarithm:



H = 5.10
Constant H in the half-life formula is H=5.10
C) Using model
to determine concentration of DDT in 1995:

y(24) = 0.5
By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.
Answer:
It doesn't have a solution because if you try to graph each line y=5x+10 and y=5x-8, you will have a parallel line
Step-by-step explanation: