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Vanyuwa [196]
3 years ago
6

Solve the equation 4b + 22 = 5(b + 4) − 1

Mathematics
2 answers:
babymother [125]3 years ago
7 0

Answer:

b=3

Step-by-step explanation:

djverab [1.8K]3 years ago
3 0

4b + 22 = 5 (b + 4) - 1 (remove the parantheses)

4b + 22 = 5b + 20 - 1 (calculate)

4b + 22 = 5b + 19 (move the terms)

4b - 5b = 19 - 22 (collect like terms and calculate)

-b = -3 (change the signs)

<em>b = 3</em>

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65% of 160 is 104

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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
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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

So, the approximate equation for P is ...

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And the parameters of interest are ...

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3 years ago
X-5y+3=3x-y+4<br> find x-int and y-int
Mekhanik [1.2K]

Answer: x-int: (-1/2,0)

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Step-by-step explanation:

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Step-by-step explanation:

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