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3 years ago

Inequality 5+m>4 or 7m<-35

1 answer:

8 0

$5+m > 4\ or\ 7m < -35\\\\\#1\\5+m > 4\ \ \ \ |subtract\ 5\ from\ both\ sides\\\\m > -1\\\\\#2\\7m < -35\ \ \ \ \ |divide\ both\ sides\ by\ 7\\\\m < -5\\\\Answer:m\in(-\infty;-5)\ \cup\ (-1;\ \infty)$

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3 years ago

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2 years ago

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Which expression is equivalent to (4g3h2k4)3

RSB [31]

Answer:

d) $8g^{6}h^{4} k^{12} - (h^{25} k^{15} )$

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Step-by-step explanation:

Explanation

Given expression

= $\frac{(4g^{3} h^{2}k^{4} )^{3} }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$

By using

(ab)ⁿ = aⁿbⁿ

$\frac{a^{m} }{a^{n} } = a^{m-n}$

= $\frac{(4)^{3} g^{9} h^{6}k^{12} ) }{8g^{3}h^{2} } - (h^{5} k^{3} )^{5}$

After simplification , we get

$= 8g^{9}g^{-3} h^{6} h^{-2} k^{12} - (h^{5} k^{3} )^{5}$

$= 8g^{9-3}h^{6-2} k^{12} - (h^{5} k^{3} )^{5}$

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2 years ago

Find the x- and y- intercepts of the equation 7x+ 14 y=28

7nadin3 [17]

Chapter : Linear equations

Lesson : Math for Junior High School

7x + 14y = 28

if want to find x and y, we must substitution value 0 to the equation x and y :

# If x = 0, then :

7x + 14y = 28

= 7(0) + 14y = 28

= 0 + 14y = 28

= 14y = 28 → y = 28/14

= y = 2

# If y = 0, then :

7x + 14y = 28

= 7x + 14(0) = 28

= 7x + 0 = 28

= 7x = 28 → x = 28 / 7

= x = 4

and that result was proven x = 4 and y = 2

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2 years ago