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lyudmila [28]
3 years ago
15

In the activity, Heavy Flying, we looked at constraints for transporting packages from Careful Calculators and Charlie's

Mathematics
1 answer:
Gala2k [10]3 years ago
5 0

Answer: 500 chicken feed and 200 careful calculators

Step-by-step explanation:

2x+3y=1,600

40x+50y=30,000

those are your first two equations

your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.

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Suppose that we don't have a formula for g(x) but we know that g(3) = −5 and g'(x) = x2 + 7 for all x. (
True [87]
So it tells us that g(3) = -5 and g'(x) = x^2 + 7.

So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))

now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
So g(2.99) = -5.16 

Doing the same thing for the other g(3.01)
(3.01, g(3) + g'(3)*(3.01-3))
(3.01, -5 + 16*.01) which is (3.01, -4.84)
So g(3.01) = -4.84

So we have our linear approximation for the two. 

If you wanted to, you could check your answer by finding g(x).  Since you know g'(x), take the antiderivative and we will get 
g(x) = 1/3x^3 + 7x + C
Since we know g(3) = -5, we can use that to solve for C
1/3(3)^3 + 7(3) + C = -5 and we find that C = -35
so that means g(x) = (x^3)/3 + 7x - 35

So just to check our linear approximations use that to find g(2.99) and g(3.01)

g(2.99) = -5.1597
g(3.01) = -4.8397

So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer.  Not a bad method if you ever need to use it. 
5 0
3 years ago
If triangle EFG is shifted ten units to the left, what are the new coordinates of vertex E?
KiRa [710]
A -3 subtracted by 10 is -13 and it stays 2
8 0
3 years ago
If x = –3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the e
noname [10]
The Answer Is Letter "C" Or Discriminate 0
6 0
3 years ago
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Question 8 Maurice won 40% of the races he ran in this season. He won 14 races this season How many races did Maurice run in tot
Andrej [43]

Answer:

D)35

Step-by-step explanation:

14%4=3.5

3.5×10=35

6 0
2 years ago
action bar. John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans
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$132.55-($15*12)=$132.55-$180=$-47.45
So then he would have owed 47.45 dollars!
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