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Tomtit [17]
3 years ago
11

Graph the solution set for this -6x-3y<-18

Mathematics
1 answer:
brilliants [131]3 years ago
3 0

Answer: See the graph attached.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m: slope.

b: y-intercept.

Solve for y:

-6x-3y

When you multiply by -1, the direction of the symbol changes. Then:

(-1)-y-2x+6

Then:

-You must graph the line:

y=-2x+6

Which has the slope -2 and intersects the y-axis at y=6

(The line is dashed for symbols < and > )

- Shade the region above the line (Because the symbol is >)

Therefore, you obtain the graph shown attached.

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2 trains leave the station at the same time. Train A is traveling 16 miles slower than train B. The two trains are 720 miles apa
Ber [7]

Answer: the rate of speed for train A is 66 miles per hour.

Step-by-step explanation:

Let x represent the speed of train B.

2 trains leave the station at the same time. Train A is traveling 16 miles per hour slower than train B. This means that the speed of train A would be x - 16 miles per hour.

The two trains are 720 miles apart after 4 hours. It means that both trains traveled a total distance of 720 miles in 4 hours.

Distance = speed × time

Distance travelled by train A after 4 hours is

4(x - 16) = 4x - 64

Distance travelled by train B after 4 hours is

4 × x = 4x

Since the total distance travelled by both trains is 720 miles, then

4x - 64 + 4x = 720

8x = 720 - 64 = 656

x = 656/8 = 82 miles per hour

The speed of train A would be

82 - 16 = 66 miles per hour.

6 0
3 years ago
Pat's Pizza Place sells large pies for $12 with a charge of $2 for each topping. If Reagan only has a $20 bill to spend on a piz
Cerrena [4.2K]

Answer:

The 1st graph

Step-by-step explanation:

20 = 2t + 12

2t = 8

t = 4

At most she can afford 4 toppings which means she can have 4 toppings to less: t ≤ 4. This is represented in the 1st graph.

3 0
3 years ago
Read 2 more answers
A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-st
densk [106]

Answer:

\[y < = 300\]

Step-by-step explanation:

Let x = number of out-of-state students at the college

Let y = number of in-state students at the college

As per the given problem, the constraints are as follows:

\[x < = 100\]    --------- (1)

\[y = 3 * x\]      --------- (2)

From the given equations (2), \[ x = y/3 \]

Substituting in (1):

\[y/3 < = 100\]

Or, \[y < = 300\] which is the constraint representing the incoming students.

7 0
3 years ago
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Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale draw
77julia77 [94]

Answer:

40 square inch

Step-by-step explanation:

1/2+1/2= 1

1+1=2

2times 4= 8

8times 5= 40

if the problem has inches in it,

the answer will always equal to a square-inch

8 0
2 years ago
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Which of the following graphs represents the equation Y -2 equals 3 (x-1)
adell [148]

Answer:

3333.6

Step-by-step explanation:

bc i said soo

5 0
3 years ago
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