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denis-greek [22]
3 years ago
8

suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50. how mush does each mango and each apple co

st.
Mathematics
2 answers:
Colt1911 [192]3 years ago
8 0
Let m= cost of mangoes 
a= cost of apples 
8m+3a=18 total (first equation)

3m+5a=14.50 (Second Equation)

Solve using system of equations

8m+3a=18.00
3m+5a=14.50
Multiply 1st equation by 5 and second equation by -3:
5(8m+3a)=5(18.00)
-3(3m+5a)=-3(14.50)
Your problem should look like:
40m+15a=90
-9m+-15a=-43.5
Then you cancel out the 15a and (-15a). So when you combine like terms you get: 31m=46.5 
Divide each side by 31. 
31m\31=46.5\31
m= 1.5
Then you plug in 1.5 into any of the original equation to find the cost of your apples.
3(1.5)+5a=14.5
4.5 + 5a = 14.5 
5a=14.5-4.5
5a=10
a=2
Each Mango cost $1.50 and each apple costs $2.00
Zanzabum3 years ago
6 0
Suppose a mango cost x dollar and a apple cost y dollar

there will be an binary system of equation

8*x+3*y=18
3*x+5*y=14.5

so soultions have to x=48/31     y=16/31

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3 years ago
Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?
Vaselesa [24]
ANSWER

f( - 6) =  10


EXPLANATION

The given function is
f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40

According to the remainder theorem,

f( - 6) = R
where R is the remainder when
f(x)

is divided by
x + 6


We therefore substitute the value of x and evaluate to obtain,

f( - 6) =  { (- 6)}^{4}  + 8 {( - 6)}^{3}  + 10 { (- 6)}^{2}  - 7( - 6)+ 40




f( - 6) =  1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40




f( - 6) =  1296  - 1728 + 360  + 42+ 40



This will evaluate to,


f( - 6) =  10


Hence the value of the function when
x =  - 6

is
10



According to the remainder theorem,
10
is the remainder when

f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40
is divided by
x + 6
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3 years ago
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