Answer:
Simplify the expression:
3x3+x2+3x+4
Step-by-step explanation:
The correct answer is 5, 7, 9.
Answer:
n = 7
Step-by-step explanation:
3(n - 4) = 9
3n - 12 = 9
3n = 9 + 12
3n = 21
n = 21 ÷ 3
n = 7
Answer:
- 2 and 12
Step-by-step explanation:
let the 2 integers be x and y , x > y , then
x - y = 14 → (1)
x + y = 10 → (2)
add the 2 equations term by term to eliminate y
2x = 24 ( divide both sides by 2 )
x = 12
Substitute x = 12 into (2)
12 + y = 10 ( subtract 12 from both sides )
y = - 2
As a check
x + y = 12 + (- 2) = 12 - 2 = 10
x - y = 12 - (- 2) = 12 + 2 = 14
xy = 12 × - 2 = - 24
Answer
y = 1(x +1) - 3
Explanation
A quadratic equation of the form y = ax^2 + bx + c
This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).
This results in y = a(x + p) + q
Where - p is the x value and q is the y value of turning point.
For graph 22, x = -1 and y = -3
Therefore, the equation is of the form
y = a(x + 1) - 3 (*)
We still need the value a, this can be obtained by using the y-intercept we are given.
We are told x = 0 when y = -2
Substitute this in (*) equation:
-2 = a(0+1) - 3
-2 = a - 3
a = 1
Therefore final equation is
y = 1(x +1) - 3
This should provide you with the train of thought of how the second question should also be tackled.
If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
