All categories

4 years ago

Which of the following systems of linear inequalities is represented by the

Mathematics

2 answers:

algol [13]4 years ago

5 0

Answer:

Option D is correct.

Step-by-step explanation:

Option D is correct.

y < 2 and y >= x

Because the dotted line shows that y < 2 and y >=x is shown is represented by diagonal line.

gladu [14]4 years ago

5 0

<h2>Answer:</h2>

Option: D is the correct answer.

D. y<2 and y≥x

<h2>Step-by-step explanation:</h2>

The graph of the system of linear inequalities are two lines:

The first is a solid line which passes through (0,0) , (1,1)

i.e. the equation of the line is: y=x

and the inequality will be a inequality with a equality sign ( since the line is solid ) and the shaded region is above the line .

Hence, the inequality is: y≥x

The second line is a dotted line.

This means that the inequality is strict.

Also, the line is a horizontal line parallel to the x-axis and the line pass through (0,2) and the shaded region is below the line.

Hence, the inequality is given by:

y<2

You might be interested in

Match the equation with the data set. ITEM BANK: Move to Bottom y = 10x + 65y = 2x - 1y = x + 2y = x - 0.50

julia-pushkina [17]

Answer:

Please see the matches between the equations provided with the data set below.

Step-by-step explanation:

A. y = 10x + 65

It matches with the data set located at the bottom right, where x represents the number of hours studied, and y represents the grade on test.

B. y = 2x - 1

It matches with the data set located at the top right, where we have:

x y

1 1

1.5 2

2 3

2.5 4

3 5

C. y = x + 2

It matches with the data set located at the bottom left, where:

x y

2 4

5 7

10 12

D. y = x - 0.50

It matches with the data set located at the top left, where:

x y

1 0.50

1.50 1

2 1.50

2.50 2

3 2.50

10 12

6 0

4 years ago

Which sentence explains the correct first step in the solution of this equation? 2(x−4)=12

natali 33 [55]

Answer:

X=10

Step-by-step explanation:

Given,

equation 2(x-4)=12

first divide by 2 on both sides

$\frac{2}{2} (x-4)=\frac{12}{2}$

then the resultant equation will be as

$(x-4)=6$

above equation explains the first step in this solution

therfore, $x=6+4\\x=10$

The value of x is 10.

7 0

3 years ago

With both the cold water and hot water faucets open it takes five minutes to fill a bathtub. The cold water facet alone takes 15

elixir [45]

Answer:

7 1/2 minutes

Step-by-step explanation:

When the time with both faucets is a submultiple of the time with one faucet, you can use this sort of reasoning to figure the missing time.

Filling the tub in 5 minutes is equivalent to having 3 faucets open, each of which can fill the tub in 15 minutes. Since we know the cold water faucet can fill the tub in 15 minutes, the hot water faucet is equivalent to two open 15-minute faucets. That is, it can fill the tub in 15/2 = 7 1/2 minutes.

_____

Perhaps a more conventional way to approach the problem is to consider "tubs per minute." The cold faucet runs at 1/15 tubs per minute, and the two faucets together run at 1/5 tub per minute. Then the hot runs at ...

(1/5) - (1/15) = (3 -1)/15 = 2/15 . . . tubs per minute

So it will fill 2 tubs in 15 minutes, or 1 tub in 7 1/2 minutes.

8 0

4 years ago

Sparkle King increased the price of a $1.15 cola by 10%. Find the increase in price and the new price.

Nastasia [14]

Answer:

Increased amount is $0.115 and new price is $1.265.

Step-by-step explanation:

It is given that Sparkle King increased the price of a $1.15 cola by 10%.

Increased amount is 10% of $1.15.

Increased amount $=\$1.15\times \dfrac{10}{100}=\$0.115$