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Pie
4 years ago
8

Which graph represents the solution set of the compound inequality -5 < a -15 < 2

Mathematics
1 answer:
Anuta_ua [19.1K]4 years ago
5 0

We are given the inequality,

-5

Now let us simplify this to get the value of a,

Adding 15 to both the sides,

-5+15

10

So we have a>10 and a<17

One more thing that we need to look at is whether we will have close dots or open dots at 10 or 17.

If we have "=" sign along with inequality sign (≤ or ≥) then we use closed dot.

If we dont have "=" sign along with inequality sign (< or >) then we use open dot.

In our case we use open dot , since we dont have "=" sign.

So Answer will be option third, line starting from 10 to 17 with open dots at 10 and 17.

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30 POINTS!! WILL VOTE BRAINIEST
Alex787 [66]
Part A:

Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:

-3 - (-11) = -3 + 11 = 8.

Thus, the value of the output increases by 8 units for each one unit increase in the input.



Part B:

Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:

21 - 5 = 16.

Thus, the value of the output increases by 16 units for each two units increase in the input.



Part C:

Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:

53 - 29 = 24.

Thus, the value of the output increases by 24 units for each three units increase in the input.



Part D:

It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.

i.e 8 / 1 = 16 / 2 = 24 / 3.
7 0
3 years ago
Hey please help me please help please
Airida [17]

1.

a) metres to centimetres :

multiply length by 100

b) metres to millimetres:

multiply length by 1000

c) kilograms to grams:

multiply the mass value by 1000

d) litres to millilitres :

multiply volume by 1000

2.

a) 3 m = 3× 100 = 300 cm

b) 28 cm = 28 × 10 = 280 mm

c) 2.4 km = 2.4 × 1000

= 24 × 10^-1 × 10^3

= 24 × 10^2 =2400 m

d) 485 mm =485 / 10

= 485 / 10 ^1

= 485 × 10 ^-1

= 48.5 cm

e) 35 cm = 35 / 100

= 35 /10^2

= 35 × 10 ^ -2

= 0.35 m

f) 2.4 m = 2.4 / 1000

= 24 × 10 ^-1 / 10^3

= 24 × 10^-1 × 10 ^-3

= 24 × 10 ^ -4

= 0.0024 km

g) 2495 mm = 2495 /1000

= 2495 /10^ 3

= 2495 × 10 ^-3

=2.495 m

4 0
3 years ago
Can someone help me how to solve this?
Assoli18 [71]

Answer:

x > -5  in the answer


Step-by-step explanation:

(5 - 3x) / 4 < 5

multiplying both sides by 4:-

5 - 3x < 20

-3x < 15

x > 15/-3

x > -5  (Note the inequality sign is flipped because we are dividing by a negative number)


8 0
4 years ago
What is an equation in point-slope form of the line that passes through the point (4,4) and has a slope of -5?
Nastasia [14]
(y - 4) = -5 (x - 4)
3 0
3 years ago
Write an equation for the nth term of the geometric sequence -4, 8, -16...
monitta
Just keeping going with 16×-2=?×-2=?×-2 untill u get you your ninth nuber as well with tge 2 is a negative, so a a positive × a negative equal a negative and a negative × a negative equal
4 0
3 years ago
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