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algol [13]
3 years ago
15

Help please thank you

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

This is a geomtric sequence

an = a1 r^(n-1)

a1 =1 and r=2

an = 2 ^(n-1)

A=a1 =1

B =a2 = 2^(2-1) =2

C =a3 = 2^(3-1) = 2^2 =4

D = a4 = 2^(4-1) = 2^3 = 8

E = a5 = 2^(5-1) = 2^4 = 16

F = a6 = 2^(6-1) = 2^5 = 32

G = a7 = 2^(7-1) = 2^6 = 64

H = a8 = 2^(8-1) = 2^7 = 128

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Which is the approximate solution to the system y = 0.5x + 3.5 and y = − 2/3 x + 1/3 shown on the graph? (–2.7, 2.1) (–2.1, 2.7)
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Answer:

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Step-by-step explanation:

To solve the system of equations \begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix} you must:

\mathrm{Rationalize\:equations}\\\\\begin{bmatrix}y=\left(\frac{1}{2}\right)x+\left(\frac{7}{2}\right)\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}

\mathrm{Subsititute\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\begin{bmatrix}-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\end{bmatrix}

\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7

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