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ivann1987 [24]
3 years ago
14

Solve the Simultaneous equations 2x + 4y = 9 and 4x2 + 16y2 = 20x + 4y - 19

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
8 0

Answer:

I'm so sorry I can't help but you can try and use math-way to answer anyquestions regarding equations and such!

LiRa [457]3 years ago
5 0

well (no, not again) I have to use substitution method for this one.

Alright here goes nothing.

2x+4y=9 and 4x^2 +16y^2=20x+4y-19

2x+4y=9  

2x=9-4y

x=9-4y/2  ......this is equation 1

substituting value of x in 4x^2 + 16y^2=20x+4y-19 ,

4(9-4y/2)^2+ 16(9-4y/2)^2 = 20(9-4y/2)^2+4y-19

=324+64y^2-144y + 324+64y^2-144y = 71-36y

=648+128y^2-288y=71-36y

= 648-71+128y^2-288y+36y

= 577+128y^2-252y

solving the above equation using quadratic formula , we get y=2.56

substituting value of y in equation 1 , we get

2x+4(2.56)=9

2x= 9-4(2.56)

x=0.62 or -0.62

Thank you very much lol , this problem was so huge that it made my day.

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2x3 + x2 + 7x - 6)-(- 2x + 10x + 10x+9)​
AVprozaik [17]

Answer:

2x³ + x² - 11x - 15

Step-by-step explanation:

Step 1: Write out expression

2x³ + x² + 7x - 6 - (-2x + 10x + 10x + 9)

Step 2: Distribute negative

2x³ + x² + 7x - 6 + 2x - 10x - 10x - 9

Step 3: Combine like terms (x)

2x³ + x² + 9x - 10x - 10x - 9 - 6

2x³ + x² - x - 10x - 9 - 6

2x³ + x² - 11x - 9 - 6

Step 4: Combine like terms (constants)

2x³ + x² - 11x - 15

5 0
4 years ago
Matthew has 18 sets of baseball cards. Each set has 12 cards. About how many baseball cards does Matthew have? The key word is a
Marizza181 [45]
18 groups of 12. 18 times 12.  That equals 216. 216 can round to 200, 215, or 220.
6 0
3 years ago
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What is the slope of the line passing through (1, 2) and (3, 8)? A: slope = 1/7 B: slope = 1/3 C: slope = 3 D: slope = 7
Aliun [14]
Slope = (y2-y1)/(x2-x1) = (8-2)/(3-1) = 6/2 = 3. So the answer is c.
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4 years ago
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Kwame borrowed 300 Ghana cedis from a finance company. He repaid the loan in six equal installment 55 Ghana cedis. How much inte
Bumek [7]

Answer:

The amount of interest, he payed is 30 Ghana Cedis

Step-by-step explanation:

The amount Kwame borrowed from the finance company, P = 300 Ghana Cedis

The amount he repaid in each installment, M = 55 Ghana Cedis

The number of installments with which he repaid the loan, n = 6 installments

The amount of interest, "i", he payed, is given by the following formula;

The amount of interest, he payed, i = M × n - P

Therefore, i = 55 × 6 - 300 = 30

The amount of interest, he payed = i = 30 Ghana Cedis.

3 0
3 years ago
Kevin and Randi have a jar containing 63 coins , being either quarters or nickels . they total
Softa [21]
Yess, such fun so

q=number of quarter
n=number of nickles
q+n=63

9.15=915 cents
25 cents=1 q
5 cents=1 n so

915=25q+5n
915=5(5q+n)
divide by 5
183=5q+n

we also have q+n=63
subtract q from both sides
n=63-q
subsitute 63-q for n in second equation
183=5q+63-q
add like terms
183=4q+63
subtract 63 from both sides
120=4q
divdie by 4
30=q
there were 30 quarters
subsitute
63=30+n
subtract 30
33=n


30 quarters
33 nicles

8 0
3 years ago
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