2 years ago

Tell whether the table of values represents a linear or an exponential function

Mathematics

1 answer:

NeTakaya2 years ago

6 0

Answer:

exponential function

Step-by-step explanation:

....,....

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Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ <em>cross multiply</em>

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

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2 years ago

Is 2x - 3 a function

maria [59]

Answer:

only if its y= 2x-3

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3 years ago

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mario62 [17]

Answer:

3.5ft

Step-by-step explanation:

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2 years ago

An ice cream factory makes 29 quarts of ice cream in 5 hours. How many quarts could be made in 48 hours ? What was that rate per

Vadim26 [7]

We can easily get the quarts per hour rate by dividing the number of quarts by the number of hours:

$\text{29 quarts in 5 hours} \implies \dfrac{29}{5} = 5.8 \text{ quarts in 1 hour}$

Now that we have the quarts per hour rate, we can easily address the question: the factory could make

$5.8\cdot 48 = 278.4$

quarts in 48 hours, with a daily rate of

$5.8\cdot 24 = 139.2$

quarts per day

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Consider 10 married couples. how many ways can 7 married couples be selected from this group

Novay_Z [31]

10c7
=10!/(7!*(10-7)!)
=120

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2 years ago

Tell whether the table of values represents a linear or an exponential function ​

Tell whether the table of values represents a linear or an exponential function