Answer:
7
Step-by-step explanation:
2x² - 28x + 98 = 0
x² - 14x + 49 = 0
(x - 7)² = 0
x = 7
Answer:
61 , 63 , 65 , 67
Step-by-step explanation:
Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:
(x) + (x + 2) + (x + 4) (x + 6) = 256
First, simplify. Combine all like terms:
x + x + x + x + 2 + 4 + 6 = 256
4x + 12 = 256
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides of the equation:
4x + 12 (-12) = 256 (-12)
4x = 256 - 12
4x = 144
Next, divide 4 from both sides of the equation:
(4x)/4 = (144)/4
x = 144/4
x = 61
61 is your first number. Find the next 3 consecutive numbers:
x = 61
x + 2 = 63
x + 4 = 65
x + 6 = 67
Check:
61 + 63 + 65 + 67 = 256
256 = 256
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Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Isolate the variable y
The solution is the shaded area below the solid line
Is below because the symbol of the inequality is less
Is a solid line because the line is included in the solution
The equation of the solid line is 
To graph the solution find the intercepts
Find the x-intercept (value of x when the value of y is equal to zero)
For y=0, x=6 --------> point (6,0)
Find the y-intercept (value of y when the value of x is equal to zero)
For x=0, y=2 -------> point (0,2)
Graph the inequality
see the attached figure
Answer:
65%
Step-by-step explanation:
this is because there is need for us to multiply 65% by $58.00
They can be 25hours and 10 minutes apart. <span>This is possible because the </span>International dateline is not a straight line<span>.
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