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3 years ago

A system of equations and its solution are given below. System A 5x-y= -11 3x -2y= -8 solution: (-21)

Mathematics

1 answer:

pav-90 [236]3 years ago

4 0

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Write an explicit formula for the An, and the n^th term of the sequence 24,-12,6,....

Annette [7]

Answer:

$T_n = -48* (-\frac{1}{2})^{n}$

Step-by-step explanation:

Given

$24, -12, 6,...$

Required

Write a formula

The above sequence shows a geometric sequence because:

$r = \frac{-12}{24} = \frac{6}{-12} = -\frac{1}{2}$ -- common ratio

The equation is determined using:

$T_n = ar^{n-1}$

Where

$a = 24$

Substitute values for a and r

$T_n = 24* (-\frac{1}{2})^{n-1}$

Apply law of indices:

$T_n = 24* (-\frac{1}{2})^{n} * (-\frac{1}{2})^{-1}$

$T_n = 24* (-\frac{1}{2})^{n} * 1/(-\frac{1}{2})$

$T_n = 24* (-\frac{1}{2})^{n} * 1*-2$

$T_n = 1*-2*24* (-\frac{1}{2})^{n}$

$T_n = -48* (-\frac{1}{2})^{n}$

<em>The above represents the explicit formula</em>

7 0

3 years ago

Three bags of of potatoes and four cases of corn cost $40. Five bags of potatoes and two cases Of corn cost $34. Find the cost o

TEA [102]

P = potato C = corn

3P + 4C = $40
5P + 2C = $34

Multiply -2 to the 2nd equation to get
-10P - 4C = -68

Add it to the 1st equation

3P + 4C = 40
-10P - 4C = -68
-----------------------
-7P = -28

Solve for P
P = $4

Substitute 4 into P(potato) to find what C(corn) is

6 0

4 years ago

In the adjoining figure O is the centre of the circle the tangent to the circle of radius 6 cm from the exterior point P of the

slamgirl [31]

Answer:

Let P be the external point. O be the origin. join O and P get OP and nearest point on the circle from P be A.

Let Q be the point onthe circle in which, tangent make 90° with radius at Q.

PQ = 8 and OQ = 6

we get a right angled triangle PQO right angled at Q.

so, OP^2 = OQ^2 + PQ^2= 8^2 + 6^2 = 64 + 36 =1==

therefore OP =10cm

we need nearest point from P, which is PA

PA = OP - OA= 10 -6=4cm

7 0

3 years ago

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police

Delicious77 [7]

The answer is 4 miles

6 0

3 years ago

Read 2 more answers

Can someone plzz help me with this 86points

just olya [345]

Answer:I would do the same thing which is copy and paste because its very

difficult to find out how to do it but ill keep trying

Step-by-step explanation:

7 0

3 years ago