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2 years ago

4x-6>22 explain or prove if 5 or 8 is a solution to the inequality

Mathematics

1 answer:

babunello [35]2 years ago

3 0

Answer:

Step-by-step explanation:

4(5) - 6 = 14

14 is not larger than 22, so 5 is not the solution.

4(8) - 6 = 26

26 is larger than 22, so 8 is the solution

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A house was sold for $300,000 and a profit of 5% was made. Determine its

lara [203]

Answer:

285,000

Step-by-step explanation:

First, you need to figure out how much was profit. Multiply 300k by .05, which should give you 15,000. Then, subtract 15,000 from 300k to get 285k. hope this helps

3 0

2 years ago

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Show that the sum of the reciprocals of three different positive integers is greater than 6 times the reciprocal of their produc

Montano1993 [528]

If a,b,c are the 3 positive integers
1/a +1/b +1/c > 6/abc
(bc+ac+ab)/abc >6/abc so
(bc+ac+ab)>6
The lowest positive integers that are different are 1,2,3 so the lowest value that (bc+ac+ab) could have is 1•2+2•3+1•3=2+6+3= 11 therefore
1/a +1/b +1/c > 6/abc is true

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3 years ago

You throw two four-sided dice. Let the random variable X represent the maximum value of the two dice. Compute E(X). Round your a

Troyanec [42]

Answer:

E(X)=3.125

Step-by-step explanation:

We are given that two four sided dice.

Then , the sample space

{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}

Total number of outcomes=16

Let the random variable X represent the maximum value of the two dice

Outcomes X P(X)

(1,1) 1 1/16

(1,2),(2,1),(2,2) 2 3/16

(1,3),(2,3),(3,1),(3,2),(3,3) 3 5/16

(1,4),(3,4) ,(2,4),(4,1),(4,2),(4,3),(4,4) 4 7/16

Using the probability formula

$P(E)=\frac{Favorable\;outcomes}{Total\;number\;of\;outcomes}$

Now,

$E(X)=\sum_{i=1}^{n}x_iP(x_i)$

$E(x)=1(1/16)+2(3/16)+3(5/16)+4(7/16)$

$E(x)=\frac{1+6+15+28}{16}$

$E(x)=\frac{50}{16}=3.125$

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3 years ago

TV and YW are parallel lines.

Lemur [1.5K]

Answer: C, WXZ and WXU are adjacent angles.

Step-by-step explanation:

A is incorrect because TUX and VUS are vertical angles.

B is incorrect because YXZ and TUX have no relationship.

C is correct because WXZ and WXU are supplementary angles, thus adjacent.

D is inccorect because VUX and TUS are vertical angles.

6 0

2 years ago

A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x 2

yaroslaw [1]

Answer:

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Step-by-step explanation:

Points:

(7, 10) and (7, 20)

Slope-intercept form:

y= mx+b

slope is:

m= (y2-y1)/(x2-x1)= (20-10)/(7-7)= 10/0,

denominator of the fraction is zero, we can't divide by zero, so this line has no slope

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It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

no, numerator is not zero

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

no, it has no slope

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

no, numerator is not zero

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

3 0

3 years ago

Read 2 more answers