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cestrela7 [59]
3 years ago
11

Which of the following ordered pairs represents a solution to the linear inequality y>2x-3?

Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

B (2, 5).

Step-by-step explanation:

Y is greater than 2x-3.

Check each one in turn:

A. (4,4) ;  y = <u>4</u><u> </u>and 2x-3 = 2(4)-3 =<u> 5.</u> NOT a solution ( y<2x-3 in this case).

B. (2, 5): y = 5 and 2x - 3 = 2(2) - 3 = 1   so y>2x-3 and this point IS a solution.

C. (3, 2)  y = 2 and  2x-3 = 3 - NOT a solution.

D. (9, 12) y = 12 and 2x-3 = 15 - Not a solution.

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Bills pencil was 6 inches long. While doing his homework,Bill used up 1 1/2 inches of his pencil.Then how long was his pencil
KATRIN_1 [288]
Bill's pencil would be 4 1/2 inches long.

6- 1.5= 4.5
7 0
3 years ago
9x²-18x+14=0 quadratic equation​
Ivahew [28]

Answer:

x∉R

Step-by-step explanation:

1) Solve the quadratic equation 9x²-18x+14=0 using x=(-b±√b²-4ac)/2a:

x=(-(-18)±√(-18)²-4×9×14)/2×9

2) Evaluate the power, calculate the product and multiply the numbers:

x=(18±√324-504)/18

3) Calculate the difference:

x=(18±√-180)/18

4) The square root of a negative number does not exist in the set of Real Numbers:

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3 0
2 years ago
Four boys weighed themselves in different pairs and alone. The weights of the pairs were 110 kg, 112 kg, 113 kg, 118 kg, 121 kg,
brilliants [131]

The lost pair of weight can be found by subtracting the a known pair from

the total weight leaving the value of the lost pair.

<u>The lost weight of a pair of boys is 120 kg</u>

Reasons:

Let <em>a</em>, <em>b</em>, <em>c</em>, and <em>d</em><em> </em>represent the weights of the four boys, we have;

The number of ways of selecting pairs (two boys) of boys from a group of

four is given using combination formula as follows;

_nC_r = \dfrac{n!}{r! \cdot (n - r)!}

Which gives;

_4C_2 = \dfrac{4!}{2! \cdot (4 - 2)!} = 6

₄C₂ = 6

Therefore, the weights of the pairs are;

a + b = 110

a + c = 112

a + d = 113

b + c = 118

b + d = 121

c + d = Lost weight

  • c + d = Lost weight

a + b + c + d = 230 (given)

Therefore;

The lost weight, c + d = 230 - (a + b)

Which gives;

c + d = 230 - (110) = 120

The lost weight = c + d = 120

  • <u>The lost weight = 120 kg</u>

Learn more here:

brainly.com/question/12974932

6 0
2 years ago
Read 2 more answers
It takes 16 minutes for 9 people to paint 8 walls . How many minutes does it take for 4 people to paint 6 walls?
Soloha48 [4]

Answer:

27 minutes to complete the painting of 4 walls

Step-by-step explanation:

since 16m with 9p --> 8 walls

x minutes with 4p --> 6 walls?

let x= minutes

6 walls painted=(8/144 walls painted per minute)x

simplify

x= 6 divided by (8/144)

x=108 minutes (to complete 6 walls)

108/4=

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4 0
2 years ago
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2. US$ 1.7135
Brrunno [24]

Answer:

1577.8 US dollars are received for 1127 UK pounds.

5669.5 UK pounds are received for US$7937.3.

Step-by-step explanation:

The questions are solved by proportions, using a rule of three.

How many US dollars are received for 1127 UK pounds?

1 UK pound = 1.4 US dollars

1127 UK pounds - x US dollars

Applying cross multiplication:

x = 1127*1.4 = 1577.8

1577.8 US dollars are received for 1127 UK pounds.

How many UK pounds are received for US$7937.3?

1 UK pound = 1.4 US dollars

x UK pounds - 7937.3 US dollars

1.4x = 7937.3

x = \frac{7937.3}{1.4}

x = 5669.5&#10;

5669.5 UK pounds are received for US$7937.3.

4 0
3 years ago
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