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3 years ago

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 = 4 and 2x-3 = 2(4)-3 = 5. 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

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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:

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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.

The lost weight of a pair of boys is 120 kg

Reasons:

Let a, b, c, and d 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

The lost weight = 120 kg

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=

27 minutes to complete the painting of 4 walls

4 0

2 years ago

Read 2 more answers

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
$

5669.5 UK pounds are received for US$7937.3.

4 0

3 years ago