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Anastaziya [24]
3 years ago
15

Y = -5x + 3 y = 8x – 23

Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

Answer:

x = 2 , y = -7.

Step-by-step explanation:

Two Equations are given in the question ,

y = -5x + 3 -(1)

y = 8x - 23  -(2)

We have to solve both of them ,

Subtracting equation 2 from equation 1 , we will get

-5x -8x + 3 + 23 = 0

-13x + 26 = 0.

So,

x = 2.

Putting x = 2 in Equation 1 ,

y = -10 + 3.

y = -7.

Thus Solution of both of the equations is x = 2 , y = -7.

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A tractor costs $16,900 and depreciates in value by 13% per year. How much will the tractor be worth after 8 years?
Assoli18 [71]

Answer: $-676

Step-by-step explanation:

Multiply 13% or 0.13 by the 16,900 to get 2,197. Multiply the 2,197 by 8 because that’s how many years there are and you get 17,576 then subtract that from the 16,900 to get -676 which means that the tractor would be worth pretty much nothing

8 0
3 years ago
С
Feliz [49]

Answer:

That's what I think the answer is

CB = CA - AB

= -8 - 29

= -37

6 0
3 years ago
Write the five term sequence that would represent each recursive rule f(x) = f(x-1) -7; f(2) = 12
barxatty [35]

<u>Answer: </u>

Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

<u> Solution: </u>

Need to find the five terms of the sequence.

Given recursive rule is f(x) = f(x-1) -7

Substituting x = 2 , f(2) = f(2-1)-7

= f(2) = f(1) – 7    ------(1)

Also given that f(2) = 12.  

On substituting the given value of f(2) in eq (1) we get

12 = f(1) – 7

f(1) = 12 + 7 = 19

Using given recursive rule and given value of f(2) calculating f(3)

Substituting x = 3 ,  

f(3) = f(3-1) – 7  

= f(2) – 7  

= 12 – 7  

= 5

Using given recursive rule and calculated  value of f(3) calculating f(4)

Substituting x = 4,  

f(4) = f(4-1) – 7  

= f(3) – 7  

= 5– 7  

= -2

Using given recursive rule and calculated  value of f(4) calculating f(5)

Substituting x = 5,  

f(5) = f(5-1) – 7  

= f(4) – 7  

= -2– 7  

= -9

Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

8 0
3 years ago
A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of
crimeas [40]
So there's 8 tiles.
Radius from archway to the outer edge would be : 7 +1 = 8ft

You can use this formula to count the area of semi circle : π r^2/2

A = 3.14 x 8ft^2 = 100.48 ft ^2
A = 3.14 x 7ft^2=  76.92  ft^2

100.48 - 76.92 = 23.55 ft^2

Then you have to divide it with the total tiles 
23.55/8 = 2.94 ft^2 per tile >> (rounded to nearest tenth)

hope this helps
5 0
3 years ago
15a2-6ab-8a2 - 5ab + 20+ a? - ab - 31 -
Crazy boy [7]
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6 0
3 years ago
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