If you would like to find 2 numbers which you can add up to get 24 and multiply to get -25, you can calculate this using the following steps:
a + b = 24 ... b = 24 - a
a * b = -25 ... a * (24 - a) = -25 ... 24 * a - a^2 = -25 ... 0 = a^2 - 24 * a - 25
0 = (a - 25) * (a + 1)
1. a = 25
2. a = -1
b = 24 - a
1. b = 24 - 25 = -1
2. b = 24 - (-1) = 25
The numbers you are looking for are -1 and 25.
Answer: D) 13y^25 and 2y^25
Like terms involve the same variables, and each of those variables must have the same exponents.
Another example of a pair of like terms would be 5x^3y^2 and 7x^3y^2. Both involve the variable portion "x^3y^2" which we can replace with another variable, say the variable z. That means 5x^3y^2 becomes 5z and 7x^3y^2 becomes 7z. After getting to 5z and 7z, it becomes more clear we have like terms.
Answer:
C. 60
Step-by-step explanation:
60+10=70
Answer:
10=x
Step-by-step explanation:
Intersecting Chords Formula:(segment piece) x (segment piece) =
(segment piece) x (segment piece)
6*5 = 3*x
30 = 3x
Divide by 3
30/3 = 3x/3
10 =x
Answer: First of all, we will add the options.
A. Yes, because 3 inches falls above the maximum value of lengths in the sample.
B. Yes, because the regression equation is based on a random sample.
C. Yes, because the association between length and weight is positive.
D. No, because 3 inches falls above the maximum value of lengths in the sample.
E. No, because there may not be any 3-inch fish of this species in the pond.
The correct option is D.
Step-by-step explanation: It would not be appropriate to use the model to predict the weight of species that is 3 inches long because 3 inches falls above the maximum value of lengths in the sample.
As we can see from the question, the model only accounts for species that are within the range of 0.75 to 1.35 inches in length, and species smaller or larger than that length have not been taken into consideration. Therefore the model can not be used to predict the weights of fishes not with the range accounted for.
