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2 years ago

Write the equation that represents each table of values

Mathematics

1 answer:

rewona [7]2 years ago

4 0

9514 1404 393

Answer:

3. y = 3·4^x

4. y = 24·0.5^x

5. y = 45·0.9^x

Step-by-step explanation:

Each table appears to represent an exponential function. Such a function can be written in the form ...

y = a·b^x

where 'a' is the value of y when x=0, and 'b' is the ratio of the values of y when x=1 and x=0.

3. a = 3. b = 12/3 = 4

y = 3·4^x

4. a = 24. b = 12/24 = 0.5

y = 24·0.5^x

5. a = 45. b = 40.5/45 = 0.9

y = 45·0.9^x

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Musya8 [376]

Answer:

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Step-by-step explanation:

Take the value given for X and plug it into the equation. For example, when X = -4, you will make your equation look as follows:

y = -2(-4) + 9

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3 years ago

Select all of the following true statements if R = real numbers, Z = integers, and W = {0, 1, 2, ...).

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3 years ago

The surface area of a pyramid is 327 square meters. what is the surface area of a similar pyramid that is smaller by a scale fac

N76 [4]

Answer:

$\boxed{\text{144.33 m}^{2}}$

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding parts of the two pyramids.

The ratio of the areas is the square of the scale factor.

$\dfrac{A_{1}}{ A_{2}} = C^{2}\\\\\dfrac{\text{327 m}^{2}}{A_{2}} = \left (\dfrac{1}{\frac{2}{3}}\right)^{2}\\\\ \dfrac{\text{327 m}^{2}}{A_{2}}= \dfrac{9}{4}\\\\\text{1308 m}^{2}= 9A_{2}\\\\A_{2} = \text{145.33 m}^{2}\\\text{The surface area of the smaller pyramid is \boxed{\text{145.33 m}^{2}}}$