4.
-3/4 - 2/3 ÷ (-4/5)
= -3/4 - [2/3 ÷ (-4/5)]
{switch the numerator and denominator when changing from ÷ to ×, or × to ÷}
= -3/4 - [2/3 × (-5/4)]
{numerator × numerator, and denominator × denominator}
= -3/4 - [-10/12]
= -3/4 + 10/12
= -9/12 + 10/12
= 1/12
5.
-2 2/5 + (-2 4/5) × 4/7
= -2 2/5 - (2 4/5 × 4/7)
= -12/5 - (14/5 × 4/7)
= -12/5 - (56/35)
{Simplify fraction to make denominators same}
= -12/5 - (8/5)
= -20/5
= -4/1
= -4
6.
-(-3/5) - 1 3/7 ÷ (-5/14)
{Negative signs cancelled out, fractions compounded}
= 3/5 - 10/7 ÷ (-5/14)
{Switch numerator and denominator when switch from ÷ to ×}
= 3/5 - [10/7 × (-14/5)]
= 3/5 - [-140/35]
= 3/5 + 20/5
= 23/5
{Simplify fraction}
= 4 3/5
Hope this helps! :) You may ask me for more help if you need
1:2 heads 4:6 less than 5 so 4:12
First, convert all of the fractions to decimals:
2.5x - .75 (2x + 5) = .375
Then distribute the parenthesis:
2.5x - 1.5x + 3.75 = .375
Subtract the 1.5x:
1x + 3.75 = .375
Subtract 3.75 from both sides:
1x = -3.375
Convert back to fraction:
1x = -3 375/1000
Simplify:
X = -3 3/8
-2f(x) means it is reflected and has a negative slope.
and for the 2 it means that the graph is compressed horizontally by factors of units
if it's less than 2 it would have been stretched, but since it's greater than 1 it is compressed.
2x² - 4x = 14
<u>Divide by 2 through:</u>
x² - 2x = 7
<u>Add in the term (b/2)² :</u>
x² - 2x + (2/2)² = 7 + (2/2)²
<u>Complete the square:</u>
(x - 1)² = 7 + 1
<u>Combine like terms:</u>
(x - 1)² = 8
Answer: (x - 1)² = 8
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The question did not ask to solve x. But here is the solution if needed to solve x:
(x - 1)² = 8
x - 1 = ±√8
x = 1 ±√+8
x =1 + 2√2 or x = 1 - 2√2
Answer: x =1 + 2√2 or x = 1 - 2√2
