The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
Answer:
Step-by-step explanation:
y = -x^2+4x-6x +24
y = -x^2 -2x + 24
Vertex (x) = 2/-2 = -1
Vertex (y) = -100/ -4 = 25
Vertex (-1, 25)
axis of symmetry: x= -1
-x^2 -2x + 24 = 0
Δ/4 = 1+24 = 25
x1 = (1 + 5)/-1 = -6
x2 = (1-5)/-1 = 4
left x intercept = (-6,0)
right x intercept = (4,0)
The DOMAIN is the set of all numbers
The range is y less than or equal to 25
The group lost 28/7 = 4 kilograms of weight each day.
1 kilogram = 2.2 pounds
4 kilograms = 2.2 x 4 = 8.8 pounds
The answer is: [B]: 3.
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Let us assume that the problem is meant to be written as:
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2a / (3b - c) ;
Explanation:
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we are given the values for "a", "b", "c" ; and we are asked to solve the problem when the given values:
a = 6, b = 4; and c = 8 .
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Note:
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We have a "numerator" , " 2a " ; and a "denominator" , (3b - c).
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Let us start by finding the numerator:
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Numerator: 2a = 2*a = 2 * 6 = 12.
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Denominator: 3b - c = (3*4) - 8 = 12 - 8 = 4
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To solve: Numerator ÷ Denominator = 12 <span>÷ 4 = 3.
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The answer is: [B]: 3.
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Given:
Amount of flour in a bin = 30 cups
Flour required for each signature cake = 
cups
To find:
The correct equation and graph for the given situation.
Solution:
Let F be the amount of flour in the bin and c be the number of signature cakes.
Flour required for each signature cake = cups
Flour required for each signature cake = 
cups
Flour required for c signature cakes = 
cups
Amount of flour in a bin is 30 cups and it is reduced by 1.5c cups. So, the amount of flour in the bin is:
At 
, we get
At 
, we get
Therefore, the required equation is and the 4th graph is correct.
