All categories

4 years ago

Which of the following inequalities matches the graph?

Mathematics

2 answers:

Stells [14]4 years ago

7 0

Answer:

the answer is the option D

$5x-y \geq 1$

Step-by-step explanation:

we have

$A(0,-1), B(1,4)$ -----> see the graph

Find the slope m

$m=\frac{4+1}{1-0}$

$m=5$

The equation of the line in slope-intercept form is equal to

$y=mx+b$

we have

$m=5$

$b=-1$ -----> the y-intercept is the point B

the equation is equal to

$y=5x-1$

The solution of the inequality is the shaded area below the solid line

therefore

the equation of the inequality is

$y\leq 5x-1$

rewrite the inequality

$y-5x\leq -1$ ------> multiply by $-1$ both sides

$5x-y \geq 1$

konstantin123 [22]4 years ago

6 0

C. 5x+y less than or equal to 1

You might be interested in

Billy watches seven seasons of a TV show. Each season includes twenty two episodes and each episode is fifty minutes long. How m

Alisiya [41]

Answer:

7700 minutes

Step-by-step explanation:

22 times 50 times 7

7 0

3 years ago

Neporo4naja [7]

5 0

3 years ago

Clint spends 1/2 hour practicing trumpet, 3/4 hour doing tasks around the house, 1 1/2 hour doing homework, and 1/4 hour cleanin

AfilCa [17]

4:30 PM! Because you have to add up all the time he spent doing these activities which is 3 hours and what time is three hours before 7:30? The answer is 4:30! Hope this helps!

8 0

4 years ago

Read 2 more answers

Anu bought an air cooler as shown below. Its water tank is in the shape of a cuboid and can take 40 litres of water. Its dimensi

Ksivusya [100]

Answer:

40 cm

Step-by-step explanation:

Using the conversion

1 litre = 1000 cm³, then

40 litres = 40 × 1000 = 40000 cm³

The volume ( V) of a cuboid is

V = lbh ( divide both sides by bh )

l = $\frac{V}{bh}$ = $\frac{40000}{50(20)}$ = $\frac{40000}{1000}$ = 40 cm

8 0

3 years ago

Which represents the solution to 7x > 21 or 6x - 9 < 21?

olganol [36]

Answer:

1) The correct option is the third line

2) The correct option is the third line please see attached graph

Step-by-step explanation:

For the system of inequalities,

7·x > 21 or 6·x -9 < 21 we have;

7·x > 21

x > 21/3 = 3

x > 3

Also we have for 6·x -9 < 21 we have;

6·x -9 < 21

6·x < 21 + 9

6·x < 30

x < 30/6 = 5

x < 5

The representation of the region x > 3 and the region x < 5 on the number line consists of indicating points 3 and 5 with circles not filled to represent less than < and not less than or equal to ≤ and shading the potion of the number line in between the two points

Which gives the correct option as the third line which has an open circle at point 3 and 5

b) To graph the inequality v + 4 > 2 and 8·v - 20 ≤ 36

For the inequality v + 4 > 2, we have;

v > 2 - 4

v > - 2

For the inequality 8·v - 20 ≤ 36, we have;

8·v - 20 ≤ 36

8·v ≤ 36 + 20

8·v ≤ 56

v ≤ 56/8

v ≤ 7

The region representing v > -2 or v ≤ 7 on the number line consists of indicating points -2 with a circle (not filled) to represent less than < and point 7 with a filled circle to represent less than or equal to ≤ and shading the potion of the number line in between the two points

Which gives the correct option is the third line which has a closed circle at point -2 and an open circle at point 7

6 0

4 years ago