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Sveta_85 [38]
3 years ago
8

What is linear combination?

Mathematics
1 answer:
morpeh [17]3 years ago
4 0
In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants)
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What is the solution (x,y) to the system of equations below <br><br> x + 9y = 3<br> y= 1/3 x + 7
Alex_Xolod [135]

Let's solve this by substitution.


y is given by the 2nd eqn as y = (1/3)x + 7. Subst. (1/3)x + 7 into the first eqn as a replacement for y: x + 9( (1/3)x + 7) = 3.


clear out fractions by mult. all 3 terms by 3: 3x + 9x + 63 = 3


Combine like terms: 12x = -60. Then x = -5


Find y by subst. -5 for x in the 2nd equation: y = (1/3)(-5) + 7

= -5/3 + 35/3 = 30/3 = 10.


Thus, the solution (x,y) of this system is (-5,10).


4 0
3 years ago
A snack bar at an outdoor fair is open from 10 A.M. To​ 5:30 P.M. And has 468 bottles of water for sale. Sales average 1.3 bottl
ch4aika [34]

Answer:

the question is incomplete, so I looked for similar ones

the number of bottles of water remaining as a function of time:

f(x) = -78x + 468

1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour

x = number of hours

the slope is -78

the y intercept is 468

domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)

range = 0 ≤ y ≤ 468 bottles

the snack will run out of bottles of water by 4 PM

78x = 468

x = 468 / 78 = 6 hours

if the snack wants to have enough bottles of water to serve all its customers, it will need:

78 x 7.5 hours = 585 bottles of water

5 0
3 years ago
F(x) = x2<br> What is f(x) + f(x) + f(x)?
Yuliya22 [10]

Answer:

if you meant x squared the answer is 3x^2

Step-by-step explanation:

If f(x) is equal to 2x you can substitute x squared for f(x) and that would be x squared+x squared+x squared which is 3x^2

6 0
3 years ago
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the first week of January there are 48 dogs and 28 cats in the animal shelter. Throughout the month the ratio of dogs to cats re
Lady bird [3.3K]

Answer:49 cats

Step-by-step ex

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What is the value of the rational expression below when xis equal to 4?
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The answer is the letter c. 3
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3 years ago
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