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3 years ago

Solve the inequality. -45<-9k would the answer be 5>k or 5

Mathematics

1 answer:

Mashutka [201]3 years ago

8 0

Answer:

5 > k

Step-by-step explanation:

-45 < -9k

Switch sides

-9k > -45

Multiply both sides by -1 (reverse the inequality)

( -9k )( -1 ) < ( -45 )( -1 )

Simplify

9k < 45

Divide both sides by 9

9k/9 < 45/9

Simplify

K < 5

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3 years ago

What is the sum of 20x^2-10x-30

ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

The correct question is

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

$ax^{2} +bx+c=0$

The sum of the roots is equal to

$-\frac{b} {a}$

in this problem we have

$20x^{2} -10x-30=0$

$a=20\\b=-10\\c=-30$

substitute

$-\frac{(-10)} {20}=0.5$

Verify

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

$a=20\\b=-10\\c=-30$

substitute

$x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}$

$x=\frac{10\pm\sqrt{2,500}} {40}$

$x=\frac{10\pm50} {40}$

$x=\frac{10+50} {40}=1.5$

$x=\frac{10-50} {40}=-1$

The roots are x=-1 and x=1.5

The sum of the roots are

$-1+1.5=0.5$ ----> is ok

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3 years ago

X,y,z and l are proportional quantites, prove that : y–x/x = l–z/z

Vera_Pavlovna [14]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

Read 2 more answers

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BabaBlast [244]

Answer:

(-4,4)

Step-by-step explanation:

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3 years ago