Step-by-step explanation:
Let age of rick = x
age of sara = y
age of marcos = a
age of jade = b
Rick is 4 years younger than Sara.
x = y - 4
Marcos is 3 years older than Jade.
a = b + 3
Rick's age is twice the age of Marcos and Jade's ages combined.
x = 2(a+b)
The youngest is 9 years old.
The youngest is jade because rick and sara are the parents and marcos is older than she is.
b = 9
How old is each??
a = b + 3
a = 9 + 3 = 12
Marcos is 12 years old
x = 2(a+b)
x = 2 (12 + 9)
x = 2 (21) = 42
Rick is 42 years old
x = y - 4
42 = y - 4
y = 42 + 4 = 46
Sara is 46 years old
Answer:
steps 2 and 3 must be switched
Step-by-step explanation:
e2020
Answer: The graph is shifted vertically, but not horizontally
Step-by-step explanation:
Since the added constant is outside the x term, the constant will only shift the graph vertically.
Answer:
2. Number of workshops attended.
Step-by-step explanation:
The variable of interest for predicting the final exam score and doing regression analysis is workshop attendance. Therefore, the response variable should be the number of workshops attended by each student.
This also agrees with what the college tutoring center staff are considering, which forms the research question: "should the center increase the number of math workshops they offer to help students improve their performance in math classes?"
Answer:
x = 8.5
Step-by-step explanation:
I got this answer by assuming the triangles were congurent, if they are not, the answer may vary.
first, make an equation:
x + 8 = 3x - 9
bring 3x to the other side, by subtracting it
-2x + 8 = -9
Subtract 8
-2x = -17
divide by -2
x = 8.5
Then, just sub x into the formulas
