Equivalent fractions for 20/50 => <span>2/5, 4/10, 6/15,and so on .....
=> 20/50 = 2/5
=> 20/50*2 = 4/10
=> 20/50*3 = 6/15
</span>equivalent fractions for 3/11 => <span>3/11, 6/22, 9/33, 12/44 and so on ...
=> 3/11* 2 = 6/22
=> 3/11* 3 = 9/33
=> 3/11* 4 = 12/44
Hope it helps !!!
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Xy = -150
x + y = 5
x + y = 5
x - x + y = -x + 5
y = -x + 5
xy = -150
x(-x + 5) = -150
x(-x) + x(5) = -150
-x² + 5x = -150
-x² + 5x + 150 = 0
-1(x²) - 1(-5x) - 1(-150) = 0
-1(x² - 5x - 150) = 0
-1 -1
x² - 5x - 150 = 0
x = -(-5) ± √((-5)² - 4(1)(-150))
2(1)
x = 5 ± √(25 + 600)
2
x = 5 ± √(625)
2
x = 5 ± 25
2
x = 2.5 ± 12.5
x = 2.5 + 12.5 or x = 2.5 - 12.5
x = 15 or x = -10
x + y = 5
15 + y = 5
- 15 - 15
y = -10
(x, y) = (15, -10)
or
x + y = 5
-10 + y = 5
+ 10 + 10
y = 15
(x, y) = (-10, 15)
The two numbers that add up to 5 and multiply to -150 are 15 and -10.
x + 2x + 8 − x + 6 = <u>2x + 14</u>
By graphing the given options as shown in attached figure
<span>f(x) = (1/4)^x+2 ⇒⇒⇒⇒ The black graph
f(x) = (1/4)^x +2 </span><span>⇒⇒⇒⇒ The red graph
</span>
f(x) = (1/4)^x-2 <span><span>⇒⇒⇒⇒ The blue graph
</span></span><span><span />
f(x) = (1/4)^x -2 ⇒⇒⇒⇒ The green graph
</span>
The correct answer will be the blue graph