Answer:
A) y = (x + 3)² + 4
B) y = (x - 3)² + 2
C) y = (x - 1)² - 5
Step-by-step explanation:
2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)
As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to
"+ 4" to shift the curve upward by 2
y = (x + 3)² + 4
When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)
This means that the term in parenthesis must be zero with our desired x value
(3 + C)² = 0
3 + C = 0
C = -3
y = (x - 3)² + 2
4 units right and 7 units down mean that the vertex is desired at (1, -5)
(1 + C)² = 0
C = -1
y = (x - 1)² - 5
Undefined slope.....means it is a vertical line. A vertical line is represented by x = a number...with that number being the x coordinate of ur point (2,-8).
so the equation would be : x = 2......this cannot be written in slope intercept form because of the undefined slope
Answer:
221 pounds of type A coffee
Step-by-step explanation:
$4.40 x 221 = $972.4
Hope this helped! :)
Answer:
The possible rational roots are: +1, -1 ,+3, -3, +9, -9
Step-by-step explanation:
The Rational Root Theorem tells us that the possible rational roots of the polynomial are given by all possible quotients formed by factors of the constant term of the polynomial (usually listed as last when written in standard form), divided by possible factors of the polynomial's leading coefficient. And also that we need to consider both the positive and negative forms of such quotients.
So we start noticing that since the leading term of this polynomial is 
, the leading coefficient is "1", and therefore the list of factors for this is: +1, -1
On the other hand, the constant term of the polynomial is "9", and therefore its factors to consider are: +1, -1 ,+3, -3, +9, -9
Then the quotient of possible factors of the constant term, divided by possible factor of the leading coefficient gives us:
+1, -1 ,+3, -3, +9, -9
And therefore, this is the list of possible roots of the polynomial.
A) w * L = 112
B) 2w + 2L = 44
A) w = 112 / L then substituting this into B)
B) 2 * (112/L) + 2L = 44
B) 224 / L + 2L = 44
B) 224 + 2L^2 = 44L
B) 2L^2 -44L +224 = 0
L = 14
L = 8
Double Check
Width = 14 Length = 8
2*14= 28 2*8 = 16
28 + 16 = 44
14*8= 112
Correct!!!
