Similfy 1/2 (30x + 4y - 14 ) +1/4 (16x - 28y + 4)

Mathematics

1 answer:

Hoochie [10]3 years ago

6 0

Answer:

19x - 5y - 6

Hope this helped

Step-by-step explanation:

You start by simplifying each expression, you will be distributing the number outside the parentheses on each number inside the parentheses

1/2(30x+4y-14)

1/4(16x -28 +4)

leaving you with

15x + 2y - 7 + 4x - 7y + 1

combine the x's y's and the singular numbers

19x - 5y - 6

Brainliest?

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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 ...

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