Answer:
<h2>x < -2/3</h2>
Step-by-step explanation:
<h3>3x – (7x + 2) > 5x + 4</h3><h3 /><h3>= 3x -7x - 2 > 5x + 4</h3><h3 /><h3>= -4x - 2 > 5x + 4</h3><h3 /><h3>= -4x -5x > 4 + 2 </h3><h3 /><h3>= -9x > 6</h3><h3 /><h3>= x < -2/3</h3><h3 />
<h3>
Answer: C) 4</h3>
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Work Shown:
Expand out the left hand side
(x-k)(x-5)
x(x-5)-k(x-5)
x^2-5x-kx+5k
Note that the constant term here is 5k. Yes k seems like a variable, but it's actually a constant. Once we know k, we can replace it to get a fixed number. In this case, k = 4 since 5k = 5*4 = 20 to have it match with the 20 at the end of x^2-9x+20
For the x terms, we have -5x-kx = -5x-4x = -9x which matches with the middle term of x^2-9x+20
Therefore,
(x-k)(x-5) = x^2-9x+20
updates to
(x-4)(x-5) = x^2-9x+20
The -4 and -5 multiply to 20, and they also add to -9. This helps confirm we have the right k value.
If one gallon equals 4 quarts then the first part of the equation would be 4+
Next, if you have 2 quarts of paint, the equation would become 4+2
And lastly, if you have 3 pints of red paint, that would become 1.5 quarts. So your final equation would be 4+2+1.5= 7.5 quarts of paint.
Final answer: 7.5 quarts
Answer:
1.5 Kilometers and 150000 Centimeters
Step-by-step explanation:
5 × 10 -5 kilometers in 1 1 / 2 centimeters. To convert any value in centimeters to kilometers, just multiply the value in centimeters by the conversion factor 1 / 100000 . So, 1.5 centimeters times 1 / 100000 is equal to 1.5 × 10 -5 kilometers.
I hope this helps!