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Sav [38]
3 years ago
6

Use models to solve each inequality. Write the answer in set builder notation. 4-7?!

Mathematics
1 answer:
butalik [34]3 years ago
8 0

Answer:


Step-by-step explanation:

4) Given that 3x<15

Divide by +3 without affecting inequality

x<5

Hence answer is (-∞,5)

5) -6x<18

Add 6x to both sides

0<6x+18

Subtract 18

-18<6x

Divide by +6

-3<x

Hence answer is (-3,∞)

6) 2x+6>x-7

Subtract x-6 from both the sides

x >-13

So answer is (-13,∞)

7) -4x+8≥14

Add 4x-14 to  both the sides

-6≥4x

x≥-3/2

Hence answer is [-3/2,∞)

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Detroit received 8 over 5 inches of snow in the morning. The city recorded of an 3 over 5inch of snow in the evening. What was t
xenn [34]

Answer:

11/5 inches

Step-by-step explanation:

total snowfall for the day = snowfall in morning + snowfall in evening

= 8 over 5 + 3 over 5 (all in inches)

= 8/5 + 3/5 (all in inches)

Since the denominators are the same (5), we can simply add the numerators up while keeping the denominator

(8/5 + 3/5) inches= (8+3)/5 inches = 11/5 inches = total snowfall for the day

7 0
2 years ago
128 is 74% of what number
GarryVolchara [31]
Percent means parts out of 100
74%=74/100=0.74


'of' means multiply


so
128 is 74% of what means
128=0.74 times what
divide both sides by 0.74
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5 0
3 years ago
How does the graph of f(x)=3|x+2|+4 relate to its parent function
Mariana [72]
If parent functin is f(x)=|x|
it is moved to the left 2 units
vertically streched by a factor of 3
and moved up by 4 units in that order

because
to move a function to left c units, add c to every x
to vertically strech function by factor of c, multiply whole function by c
to move funciotn up c units, add c to whole function


so it is 2 to the left, verteically streched by a factor of 3 then moved up 4 units
5 0
4 years ago
Read 2 more answers
Subtract. -8 - (- 2)
ddd [48]

Answer:

-6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Melinda wants to have a picture window in the shape of a regular hexagon in her new home. She wants the perimeter of the hexagon
salantis [7]
6*x<=9
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