Answer:
y= -4x^2 + 15x - 14
Step-by-step explanation:
A parabola is always in the form y = ax^2 + bx + c.
Substitute each point to produce different equations:
-14 = 0a + 0b + c = c
so c = -14
-3 = a1^2 + b1 + c = a + b - 14
so a + b = 11
0 = a2^2 + b2 + c = 4a + 2b -14 = 0
so 4a + 2b = 14
if we double a + b = 11 we get 2a + 2b = 22
Subtract this from 4a + 2b = 14 and we get 2a = -8 so a= -4 and b = 11 - a = 15
We don't need to use the (3,5) points as we have all the information we need.
Your solution would be x<25
8x - amount of boys
7x- amount of girls
8x + 7x = 195
15x= 195 ( divide by 15)
x= 13
8x = 8 x 13 = 104
7x = 7 x 13= 91
there are 104 boys, and 91 girls.
Answer:40
Step-by-step explanation:
dividing 1200 by 600 is 2
so you would do the same for 80
Answer:
FIRST EXPRESSION:
- If
, the value of
is 
- If
, the value of
is 
- If
, the value of
is 
SECOND EXPRESSION:
- If
, the value of
is 
- If
, the value of
is 
- If
, the value of
is 
Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.
Step-by-step explanation:
Substitute the given values of "b" into each expression and evaluate.
- For the first expression
, you get:
If
→ 
If
→ 
If
→ 
- For the second expression
, you get:
If
→ 
If
→ 
If
→ 
You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.