True
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We are given with
height = 9 feet
length = 10 feet
wall brackets:
48-in costing $12.95
60-in costing $16.95
distance of brackets from ends = 1 foot
maximum distance between brackets= 24 inches
The brackets are
48/12 = 4 feet
and
60/12 = 5 feet
One of each must be used to cover the height of the shelf
The length of the shelf is
60 inch
subtracting 1 in from each side for the allowance
60 - 2 = 58 in
Dividing by 24 inches
58/24 = 2.41 ~ 3
The total cost is
($12.95 + <span>$16.95) * 3 = $89.7
The total cost of the brackets is </span>$89.7
Answer:
x =
, x = 
Step-by-step explanation:
Given
4x² - 16x = 16x - 39 ( subtract 16x - 39 from both sides )
4x² - 32x + 39 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term, that is
product = 4 × 39 = 156 and sum = - 32
The factors are - 26 and - 6
Use these factors to split the x- term
4x² - 26x - 6x + 39 = 0 ( factor the first/second and third/fourth terms )
2x(2x - 13) - 3(2x - 13) = 0 ← factor out (2x - 13) from each term
(2x - 13)(2x - 3) = 0
Equate each factor to zero and solve for x
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 
2x - 13 = 0 ⇒ 2x = 13 ⇒ x = 
Answer:
x=+-√10+3
Step-by-step explanation:
x^2=6x+1
x^2-6x=1
To create a trinomial square on the left side of the equation, find a value that is
equal to the square of half of b
a is the number next to x^2
b is the number next to x
c is the last number
b is -6
half of b is -3
square of half of b is 9
put 9 on both sides of the = sign
x^2-6x+9=1+9
x^2-6x+9=10
(x-3)^2=10
take the square root of both sides of the = sign
√(x-3)^2=√10
x-3=√10
x=+-√10+3