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In-s [12.5K]
4 years ago
15

a cup is 6.4 cm tall, not including the 0.6 cm lip. cups are stacked inside one another. select the function that represents the

height of the stack of cups in terms of the number of cups in the stack
Mathematics
1 answer:
Alja [10]4 years ago
8 0

Answer: 20

H(c) = 6.4 + 0.6c

<u>6.4</u> is the constant.

When the height of the cups is <u>18.4</u> the function is:

18.4 = 6.4 + 0.6c

Then, you add <u>6.4</u> from both sides

18.4 - 6.4 + 6.4 = 6.4 + 0.6c - 6.4  + 6.4

Simplify

18.4 = 6.4 + 0.6c

Switch sides

6.4 + 0.6c = 18.4

Multiply both sides by <u>10</u>

6.4 x 10 + 0.6c x 10 = 18.4 x 10

Refine

64 + 6c = 184

Subtract <u>64</u> from both sides

64 + 6c - 64 = 184 - 64

Simplify

6c = 120

Divide both sides by <u>6</u>

6c/6 = 120/6

c = <u>20</u>

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What is the factored form of y=x^3+3x^2-x-3 and what the zeros
PSYCHO15rus [73]
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   0 = x³ + 3x² - x - 3
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   0 = x²(x + 3) - 1(x + 3)
   0 = (x² - 1)(x + 3)
   0 = (x² + x - x - 1)(x + 3)
   0 = (x(x) + x(1) - 1(x) - 1(1))(x + 3)
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   0 = x - 1    or    0 = x + 1    or    0 = x + 3
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3 0
3 years ago
Find the domain and range please!
kirza4 [7]

Answer:

domain: -2 < x < 4

range: -∞ < y < 9

Step-by-step explanation:

domain: because the domain is all of the x-values, just look for the furthest one to the left, which is -2, and then look for the one that is furthest to the right, it being 4.

range: because the quadratic function has the two arrows continuing downwards, toward the negative portion of the graph, it would be -∞. Then look for the maximum of the graph, which would be considered the most highest part of the graph, which is seen on the graph as 9.

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Answer:

No, it is not a right triangle.

Step-by-step explanation:

Let's take it as,

→ Hypotenuse = 28 mm

→ Perpendicular = 25 mm

→ Base = 10 mm

Now use Pythagoras theorem,

→ Hypotenuse² = Perpendicular² + Base²

→ 28² = 25² + 10²

→ 784 = 625 + 100

→ 784 ≠ 725

→ [ LHS ≠ RHS ]

Hence, it does not forms a right triangle.

4 0
2 years ago
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