Simplify 8(3 - 2x). 16x - 24 24x - 16 24 - 16x

Mathematics

2 answers:

KatRina [158]3 years ago

7 0

Answer:

The last option (24 - 16x)

Step-by-step explanation:

You must FOIL the equation by multiplying every expression within the parentheses by 8, the number outside the parentheses.

$8\times3=24\\8\times-2x=-16x\\24-16x$

love history [14]3 years ago

3 0

24 - 16x

Step-by-step explanation:

8(3-2x)

=24 - 16x

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allochka39001 [22]

Answer:

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Step-by-step explanation:

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3 years ago

A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio

Klio2033 [76]

Answer:

k = 0.032
P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

$P(t)=P_0\cdot e^{kt}$

We know from the given points that we can write the equation as ...

$P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t$

Comparing this to the desired form, we see that ...

$P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693$