Answer:
Cindy get (12-c) amount while others get 12 cookies
Step-by-step explanation:
From the question we are informed that Grandma baked 96 cookies
And there are 8 Number of grandchildren available
But the cookies must be divided equally among this grandchildren to calculate the number of cookies each of them get we have,
= 96 cookies baked/8 Number of grandchildren available
= 12 cookies
Which means each get 12 cookies
But
Cindy received less cookies with less C amount.
Then Cindy own will be( 12-c) cookies
Therefore Cindy get (12-c) amount while others get 12 cookies
Answer:
x = 7
Length = 4 inches , Width = 15 inches
Step-by-step explanation:
<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>
Area of rectangle = Length × Width
A = L × W
L = x - 3
W = x + 8
Therefore:
A = L × W
60 = ( x - 3 ) ( x + 8 )
( x - 3 ) ( x + 8 ) - 60 = 0
x^2 + 8x - 3x - 24 - 60 = 0
x^2 + 5x - 84 = 0
x^2 + 12x - 7x - 84 = 0
x ( x + 12 ) - 7 ( x + 12 ) = 0
( x + 12 ) ( x - 7 ) = 0
THEREFORE:
x = - 12 , x = 7
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<em>PART</em><em> </em><em>2</em><em> </em><em>:</em>
L = x - 3
L = ( - 12 ) - 3
L = - 15
OR
L = ( 7 ) - 3
L = 4
THEREFORE:
Length can not be a negative number. Hence, L can not equal to - 15.
L = 4 inches
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
W = x + 8
W = ( 7 ) + 8
THEREFORE:
W = 15 inches
Answer: 0 = 3
Step-by-step explanation: If y = 7 - 3x, we can plug that in for y in the equation 3x + y = 10 by writing it as 3x + 7 - 3x = 10.
- 7 - 7
--------------------------
3x - 3x = 3
0 = 3
Answer: Choice D
y = -(x - 2)^2 + 7
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Explanation:
The highest point is (2, 7) so this is the vertex.
In general, the vertex is (h, k). We can say that h = 2 and k = 7.
The vertex form
y = a(x-h)^2 + k
updates to
y = a(x-2)^2 + 7
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Note that the graph goes through (0,3) which is the y intercept. Plug those x,y coordinates into the equation above to solve for 'a'
y = a(x-2)^2 + 7
3 = a(0-2)^2 + 7
3 = a(-2)^2 + 7
3 = a(4) + 7
3 = 4a + 7
4a+7 = 3
4a = 3-7
4a = -4
a = -4/4
a = -1
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Therefore, we have
y = a(x-2)^2 + 7
update to
y = -1(x-2)^2 + 7
which is the same as
y = -(x - 2)^2 + 7
and that's why the answer is choice D
