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cluponka [151]
2 years ago
13

Write a system of inequalities using the given graph

Mathematics
1 answer:
ziro4ka [17]2 years ago
7 0

For dark line

  • (0,1)
  • (-1,-4)

Slope

  • m=-4-1/-1=5

Equation in point slope form

  • y-1=5x
  • y=5x+1

Put (0,0)

  • 0<1

As line is dark sign is ≤

The inequality

  • y≤5x+1

For dashed line

  • (2,0)
  • (0,-2)

Equation in intercept form

  • x/2-y/2=1
  • x-y=2
  • y=x-2

Put (0,0)

  • 0>-2

Symbol is >

Inequality is

  • y>x-2
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HELP ASAP PLEASE!!!
Varvara68 [4.7K]

Answer:

Step-by-step explanation:

The answer is B. If you use this site called Desmos Graphing Calculator. Type out all the possible answers, and use the process of elimination.

7 0
3 years ago
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A line with a slope of 2 passes through (3,9). Which choice is an equation of this line?
Veronika [31]

Answer:

The answer to your question is number 3.

Step-by-step explanation:

Data

slope = m = 2

Point = (3, 9)

Process

1.- Write the equation of the line in the form point-slope

               y - y1 = m(x - x1)

2.- Identify the values of x1 and y1

        x1 = 3   y1 = 9

3.- Substitution

               y - 9 = 2(x - 3)

4.- Simplify

              y - 9 = 2x - 6

              y = 2x - 6 + 9

5.- Result

              y = 2x + 3       slope y-intercept form

6 0
3 years ago
A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second.
Ad libitum [116K]

Let d_m,\ d_e represent the depth of the miner and equipments elevator, respectively. We know that equipment elevator descends with a velocity of v_e = 4 feet per second, and the miners one descends with a velocity of v_m = 15 feet per second.

If we start counting time (t=0) when the equipment elevator begins to descend, after t seconds its depth will be

d_e(t) = v_et = 4t

On the other hand, the miner elevator follows the same rule, but we have to use its velocity, and remember that it starts with a delay of thirty seconds:

d_m(t) = v_m(t-30) = 15(t - 30)

Now, we have to wait the 30 seconds of delay, and then another 14 seconds. This means that we want to know the positions of both elevators when t = 44. Let's plug this value into the two equations:

d_e(44) = 4\cdot 44 = 176

d_m(44) = 15(44-30) = 15\cdot 14 = 210

So, the equipment elevator is 176 feet deep, and the miner elevator is 210 feet deep, and thus this is the deeper one.

7 0
3 years ago
I have 18 ones 15 hundreds 15 tens 8thousands what number am I
tankabanditka [31]
8 thousands is equal to 8000.
15 hundreds is equal to 1500.
15 tens is equal to 150.
18 ones is equal to 18.

So just add them up.
8000 + 1500 = 9500.
9500 + 150 = 9650.
9650 + 18 = 9668.

The number is 9668
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Derrick and Sam need 10 pounds of colored gravel for the bottom of their new fish tank. Derrick has 2 pounds of purple gravel an
Sunny_sXe [5.5K]

Answer:

4 yellow gravel . 2+4=6

10-6= 4

8 0
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