You have to formulate equations for this problem.
Let S = Science score
M = Math score
C =
Chemistry score
To illustrate the given:
0.9S = 0.75M
0.9S = 0.8C
You are given that Karen’s Math score is 96 marks. You have
to substitute the Math score to the first equation.
0.9S = 0.75(96)
0.9S = 72
S = 80
Therefore, Karen’s Science score is 80. Now, you have to
substitute the Science score to the second equation.
0.9(80) = 0.8C
0.8C = 72
C = 90
So, Karen’s Chemistry score is 90.
Therefore, the total score of the 3 subjects is 266 (96 + 80
+ 90).
We have the function 
and we want to find a function that has the same y-intercept than the previous function.
First, let's find the y-intercept by subtituting 0 for 'x'.
Now that we found that y-intercept =-3, any lineal function of the type: 
will have the same y-intercept. Where 'a' can take all the real values.
Also, any quadratic function of the type: 
will have the same y-intercept. Where 'a' and 'b' can take all the real values.
The roots are 3 and 17 so the distributed equation is
(x-3)(x-17)
distribute
x²-3x-17x+51
x²-20x+51
I hope I've helped!
Answer:
Step-by-step explanation:
Synthetic division is one way to determine whether or not a given number is a root of the quadratic. x^2 − 12x − 20 can be rewritten as x^2 - 12x + 36 - 36 - 20, or (x - 6)^2 - 56, which does not have integer solutions:
(x - 6)^2 - 56 = 0 becomes (x - 6)^2 = 56, which works out to x - 6 = ± 2√14.
None of the possible roots suggested in this problem turns out to be an actual root.
correct response: PRIME
Answer:
C
Step-by-step explanation:
f(x)=2x-3
-4-3=-7
-2-3=-5
0-3=-3
2-3=-1
4-3=1
