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NeTakaya
3 years ago
12

Help?? Due tomorrow!!

Mathematics
1 answer:
krek1111 [17]3 years ago
8 0
Just plot the points.  easssyyyyyyo
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Solve the inequality 2x>30+5/4x
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Step-by-step explanation:

2x > 30+\frac{5}{4x} \\2x-\frac{5}{4x} > 30\\\frac{8x^2-5}{4x} > 30\\case~1\\if~x > 0\\8x^2-5 > 120x\\8x^2-120x > 5\\x^2-15x > \frac{5}{8} \\adding~(-\frac{15}{2} )^2~to~both~sides\\(x-\frac{15}{2} )^2 > \frac{5}{8}+\frac{225}{4} \\(x-\frac{15}{2} )^2 > \frac{455}{8} \\x-\frac{15}{2} < -\sqrt{\frac{455}{8} }  \\x < \frac{15}{2}-\sqrt{\frac{455}{8} } \\or~x < 0\\rejected~as~x > 0

x-\frac{15}{2} > \sqrt{\frac{455}{8} } \\x > \frac{15}{2} +\sqrt{\frac{455}{8} }

case~2

if~x < 0\\8x^2-5 < 120x\\8x^2-120x < 5\\x^2-15x < \frac{5}{8} \\adding~(-\frac{15}{2} )^2\\(x-\frac{15}{2} )^2 < \frac{5}{8} +(-\frac{15}{2} )^2\\|x-\frac{15}{2} | < \frac{5+450}{8} \\-\sqrt{\frac{455}{8} } < x-\frac{15}{2} < \sqrt{\frac{455}{8} } \\\frac{15}{2} -\sqrt{\frac{455}{8} } < x < \frac{15}{2} +\sqrt{\frac{455}{8} } \\but~x < 0\\7.5-\sqrt{\frac{455}{8} } < x < 0

8 0
1 year ago
Solve for x<br> x + y = 1<br> x + 7y = -4<br> 2x - 6y = 4<br> 5x + 15y = -10<br> 2x + 6y = 10
Arada [10]
X + y = 1
add - y both sides
x + y +  - y = 1 +  - y
x =  - y + 1
Answer: x =  - y + 1
Graph: y =  - x + 1


x + 7y =  - 4
add - 7 both sides
x + 7y +   - 7y = - 4 +  -7y
x =  - 7y  - 4
Answer: x = - 7y   - 4
Graph: y = 0.142857x  -  0.571429


2x  - 6y = 4
add 6y to both sides
2x  - 6y + 6y = 4 + 6y
2x = 6y + 4
divide both sides by 2
2x/2 = 6y + 4/2
x = 3y + 2
Answer: x = 3y + 2
Graph: y = 0.333333x  -  0.666667



5x + 15y = - 10
add - 15 to both sides
5x + 15y +   - 15y = - 10 +  - 15y
5x = - 15y  - 10
divide both sides by 5
5x/5 =  - 15y - 10/5
x = - 3y  - 2
Answer: x = - 3y - 2
Graph: y =  - 0.333333x  -  0.666667



2x + 6y = 10
add - 6y to both sides
2x + 6y +  - 6y = 10 +  - 6y
2x =  - 6y + 10
divide both sides by 2
2x/2 = - 6y + 10/2
x =  - 3y + 5
Answer: x =  -3y + 5
Graph: y =  - 0.333333x  +  1.666667





Hope that helps!!!
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