Answer:
(x + 5)(2x + 1)
Step-by-step explanation:
Given
2x² + 11x + 5
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 5 = + 10 and sum = + 11
The factors are + 10 and + 1
Use these factors to split the x- term
2x² + 10x + x + 5 ( factor the first/second and third/fourth terms )
= 2x(x + 5) + 1 (x + 5) ← factor out (x + 5 from each term
= (x + 5)(2x + 1) ← in factored form
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Answer:
a) attached
b) 100 square inches, 1/4 of the total
c) square root of area
d) multiply by 4
Step-by-step explanation:
a) A diagram is attached
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b) If the total area consists of 4 squares of the same size, then the area of one square will be 1/4 of the total area. 1/4 of 400 square inches is 100 square inches, the area of one square.
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c) The area of a square is the square of the side length. You find the side length by finding the square root of the area. √(100 in²) = 10 in, the side length of each square.
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d) The rectangle is 4 squares laid side by side, so its length is 4 times the side length of one square: 4×10 in = 40 in.
13.
230 per hour. multiply 230 by the number of hours to find total posters.
The equation is Total = 230 x hours written as T = 230x, where x is the number of hours.
you have the total, so replace t with the value and solve for x:
1265 = 230x
Divide both sides by 230:
x = 1265 / 230
x = 5.5 hours.
14.
Mean is the average. To find the average, add the four scores together and divide by 4.
The expression is Mean = ( score 1 + score 2 + score 3 + score 4)/4
Replace what is known:
20 = (25 + 15 + 18 + p)/4
Simpligy:
20 = (58 +p) /4
Multiply both sides by 4:
80 = 58 + p
Subtract 58 from both sides:
p = 80 - 58
p = 22
50% of 40 is 20.
40/2 =50.
Just divide the number by 2 anytime it asks for 50%.
