Answer: no idea
Step-by-step explanation:
Thats hard
Problem 1 (on the left)
It appears we have an exponential function curve through the points (0,4) and (1,7)
The general exponential function is of the form
y = a*b^x
The value of 'a' is the y intercept or initial value. So a = 4
Plug in (x,y) = (1,7) to help solve for b
y = a*b^x
y = 4*b^x
7 = 4*b^1
7 = 4b
b = 7/4 = 1.75
Therefore, the function is y = 4*(1.75)^x
- Plug in x = 0 and you should get y = 4.
- Plug in x = 1 and you should get y = 7
These two facts help confirm we have the correct exponential equation.
<h3>Answer: y = 4*(1.75)^x</h3>
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Problem 2 (on the right)
The steps will follow the same idea as the previous question.
The exponential curve goes through (-1, 120) and (0,40)
We have a = 40 this time due to the y intercept (0,40)
Plug in the coordinates of the other point to find b
y = a*b^x
y = 40*b^x
120 = 40*b^(-1)
120 = 40/b
120b = 40
b = 40/120
b = 1/3
<h3>Answer: y = 40*(1/3)^x</h3>
5a: To find the slope, you would divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. So coordinates (15,1.5) and (5,0.5). You would subtract 1.5 form 0.5 which gives you neagtive one. (-1) Then subtract 15 from 5 which is -10. (negative ten) -1 divided by -10 is one tenths. 1/10 is your answer to part a.
5b. To find the slope, you would divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. (Not sure what you meant by "interpret".
5c. The phone bill will increase by $0.50 if you talk for 5 extra minutes.
5d. You talked for 30 minutes if the phone bill costs $3.
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6a. I can't really graph it but I'll interpret the slope. Y would basically be 7.5 times as much as x.
6b. I'm kinda stuck on how to get from 7.5 to 1. Sorry. OnO
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7a. Hamburgers sell faster because there are 60 minutes in a hour. If 2.5 wraps are sold in one minute. Then there would be 150 wraps sold in 60 minutes which is also one hour. Hamburgers sell ten more than wraps per hour.
7b. The equation for wraps is: y=2.5x
The equation for hamburgers is y=2.6667x
Goodnight and hope it helps.~ RIP my sleep...
I think the answer is the last one.
<em>Your question is incomplete. Please find the missing content below</em>
You go to the shops on Monday and buy 1 apple, 1 banana, and 1 carrot; the whole transaction totals €15. On Tuesday you buy 3 apples, 2 bananas, 1 carrot, all for €28. Then on Wednesday 2 apples, 1 banana, 2 carrots, for €23.
Construct a matrix and vector for this linear algebra system.
Matrix is A = [ [ A₁₁ , A₁₂ , A₁₃]
[ A₂₁ , A₂₂ , A₂₃]
[ A₃₁ , A₃₂ , A₃₃] ]
Vector S = [sMon , sTue , sWed]
(i) consider A as fruits
A₁₁ = 1
A₁₂ = 1
A₁₃ = 1
A₂₁ = 3
A₂₂ = 2
A₂₃ = 1
A₃₁ = 2
A₃₂ = 1
A₃₃ = 2
(ii) Consider s as days
sMon = 15
sTue = 28
sWed = 23
Hence the matrix and vector is: A = [ [ A₁₁ , A₁₂ , A₁₃]
[ A₂₁ , A₂₂ , A₂₃]
[ A₃₁ , A₃₂ , A₃₃] ]
Vector S = [sMon , sTue , sWed]
Learn more about "linear equations using matrix" here-
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