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3 years ago

10

On greenfields chicken farm, 5/6 of the eggs usually hatch. This year only 2/3 as many hatched. What fraction of the total eggs

hatched this year?

2 answers:

Vladimir [108]3 years ago

7 0

0.66666667 is the answer

Maslowich3 years ago

4 0

The answer is 2/3 :)

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Please help thank you

Dvinal [7]

the tale-tell fellow is the number inside the parentheses.

if that number, the so-called "growth or decay factor", is less than 1, then is Decay, if it's more than 1, is Growth.

$\bf f(x)=0.001(1.77)^x\qquad \leftarrow \qquad \textit{1.77 is greater than 1, Growth} \\\\[-0.35em] ~\dotfill\\\\ f(x)=2(1.5)^{\frac{x}{2}}\qquad \leftarrow \qquad \textit{1.5 is greater than 1, Growth} \\\\[-0.35em] ~\dotfill\\\\ f(x)=5(0.5)^{-x}\implies f(x)=5\left( \cfrac{05}{10} \right)^{-x}\implies f(x)=5\left( \cfrac{1}{2} \right)^{-x} \\\\\\ f(x)=5\left( \cfrac{2}{1} \right)^{x}\implies f(x)=5(2)^x\qquad \leftarrow \qquad \textit{Growth} \\\\[-0.35em] ~\dotfill$

$\bf f(t)=5e^{-t}\implies f(t)=5\left( \cfrac{e}{1} \right)^{-t}\implies f(t)=5\left( \cfrac{1}{e} \right)^t \\\\\\ \cfrac{1}{e}\qquad \leftarrow \qquad \textit{that's a fraction less than 1, Decay}$

now, let's take a peek at the second set.

$\bf f(x)=3(1.7)^{x-2}\qquad \leftarrow \qquad \begin{array}{llll} \textit{the x-2 is simply a horizontal shift}\\\\ \textit{1.7 is more than 1, Growth} \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)=3(1.7)^{-2x}\implies f(x)=3\left(\cfrac{17}{10}\right)^{-2x}\implies f(x)=3\left(\cfrac{10}{17}\right)^{2x} \\\\\\ \textit{that fraction is less than 1, Decay} \\\\[-0.35em] ~\dotfill$

$\bf f(x)=3^5\left( \cfrac{1}{3} \right)^x\qquad \leftarrow \qquad \textit{that fraction is less than 1, Decay} \\\\[-0.35em] ~\dotfill\\\\ f(x)=3^5(2)^{-x}\implies f(x)=3^5\left( \cfrac{2}{1} \right)^{-x}\implies f(x)=3^5\left( \cfrac{1}{2} \right)^x \\\\\\ \textit{that fraction in the parentheses is less than 1, Decay}$

6 0

4 years ago

Given the function ƒ(x) = 20x2 − 18x − 25, find ƒ(−1).

dlinn [17]

f(x) = 20x² - 18x - 25

f(-1) = 20(-1)² - 18(-1) - 25

= 20 + 18 - 25

= 13

7 0

3 years ago

Lhvijhhhrjdjnrkdksns jsbsjsjsks jsnsj

emmasim [6.3K]

Answer:

thank you for the points

3 0

3 years ago

Jerry was making two different types of cookies. One recipe needed 3/4 cups of sugar and the other needed 2/3 cups of sugar. How

inn [45]

Both recipes would add up to 1 5/12 this is using the black widow way

5 0

4 years ago

Read 2 more answers

Please help me with the answer ASAP

Gnom [1K]

Answer:

105/5 i believe

Step-by-step explanation:

6 0

3 years ago