Answer:
B. 
Step-by-step explanation:
Simplify the given expression to determine its equivalent expression in the given options.
(x - 1) cancels (x - 1)
The greatest common factor is 1 because there is not a number that goes into or will multiply and get 49 and 4. 49 is an odd number and 4 is an even number so the GCF is 1.
The answer is: x = 7 - √53 or x = 7 + √53
The general quadratic equation is: ax² + bx + c =
0.
But, by completing the square we turn it into: a(x + d)² + e = 0, where:<span>
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 14x -4 = 0, which is
after rearrangement:
So, a = 1, b = -14, c = -4
Let's first calculate d and e:
d = b/2a = -14/2*1 = -14/2 = -7
e = c - b²/4a = -4 - (-14)</span>²/4*1 = -4 - 196/4 = -4 - 49 = -53<span>
By completing the square we have:
a(x + d)² + e = 0
1(x + (-7))</span>² + (-53) = 0
(x - 7)² - 53 = 0
(x - 7)² = 53
x - 7 = +/-√53
x = 7 +/- √53
Therefore, the solutions are:
x = 7 - √53
or
x = 7 + √53
Answer:
x > -3/7
Step-by-step explanation:
Eliminate parentheses, collect terms, and subtract the constant on the left.
5(3 -x) -4(2 -3x) > 4
15 -5x -8 +12x > 4
7x +7 > 4
7x > -3
x > -3/7 . . . . . divide by the coefficient of x
<span>b.9 x 10^4 is 18 times larger than 5 x 10^3
This is a simple matter of floating point division. So let's do that.
9 x 10^4 / 5 x 10^3
First, divide the significands. Giving
9 / 5 = 1.8
And subtract the exponents
4 - 3 = 1
So the result of the division is
1.8 x 10^1 which is 18. So 9x10^4 is 18 times larger than 5x10^3. Now looking at the available options, it's obvious that only "b" is correct.</span>
