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2 years ago

Solve the inequality.

Mathematics

2 answers:

user100 [1]2 years ago

8 0

Answer:

k < 28

Step-by-step explanation:

Given inequality :-

k + 4 - 2( k - 12 ) > 0
k + 4 - 2k + 24 > 0
-k + 28 > 0
28 > k
k < 28

Last Option is correct .

Nataly [62]2 years ago

4 0

k<28

Step 1: Simplify both sides of the inequality.

−k+28>0

Step 2: Subtract 28 from both sides.

−k+28−28>0−28

−k>−28

Step 3: Divide both sides by -1.

−k /−1 > −28 /−1

k<28

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2 years ago

Choose the fraction that is greater than 3/18٫is less than 50/100٫and has 9 as its denominator

erik [133]

Answer:

4/9

Step-by-step explanation:

The denominator is the bottom value of a fraction, therefore we can discount 9/2

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1 year ago

Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)

zhenek [66]

ANSWER

The vertical asymptotes are

$\Rightarrow x=2\:or\:x=-1$

EXPLANATION

We have

$f(x)=\frac{x^2+4}{4x^2-4x-8}$

For vertical asymptotes we set the denominator to zero and solve the quadratic equation;

$4x^2-4x-8=0$

$\Rightarrow x^2-x-2=0$

We split the middle term to obtain,

$x^2+x-2x-2=0$

$\Rightarrow x(x+1)-2(x+1)=0$

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3 0

3 years ago

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Yvonne had a rope that measured 2/5 long. She

yawa3891 [41]

Answer:

Number of smaller ropes she can make from the larger rope = 2/3

Step-by-step explanation:

Total length of rope = 2/5 ft

Length of smaller rope = 3/5 ft

How many smaller ropes can she make from the larger rope?

Number of smaller ropes she can make from the larger rope = Total length of rope / Length of smaller rope

= 2/5 ÷ 3/5

= 2/5 × 5/3

= (2*5)/(5*3)

= 10/15

= 2/3

Number of smaller ropes she can make from the larger rope = 2/3

7 0

2 years ago