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Andreas93 [3]
3 years ago
11

What are the solutions to the following system of equations? Select the correct answer below.

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
5 0
(a). 8x + y = 20, where (b). y = x2 - 2x + 4
So where y is in equation (a), substitute in the value of y in (b). 
8x + (x2 - 2x + 4) = 20
8x + (4) = 20
Get rid of the 4 on both sides (since what you do to one side, you must do to the other)
8x + 4 - 4 = 20 - 4
8x = 16
Get rid of the 8 to leave x on its own
8x ÷ 8 = 16 ÷ 8
x = 2
So now that you have x, find y but substituting in the value you just found (2) into one of the starting equations. 
8x + y = 20 where x is 2.
8(2) + y = 20
16 + y = 20
Minus 16 from both sides
y = 20 - 16 = 4
So x is 2 and y is 4
MariettaO [177]3 years ago
4 0

Answer:

Solution of the equation is (2,4) and (-8,84) .

Step-by-step explanation:

As given the equation

y = x² - 2x + 4

8x + y = 40

Putting  y = x² - 2x + 4  in 8x + y = 40 .

8x + x² - 2x + 4 = 40

x² + 6x + 4 = 20

x² + 6x + 4 -20 = 0

x² + 6x - 16 = 0

x² + 8x - 2x - 16 = 0

x(x+8)-2(x+8) = 0

(x+8)(x-2) = 0

x = -8 , x = 2

Put x = -8 in the equation 8x + y = 20 .

8 × -8 + y = 20

-64 + y = 20

y = 20 + 64

y = 84

Put x = 2 in the equation 8x + y = 20 .

8 × 2 + y = 20

16 + y = 20

y = 20 - 16

y = 4

Therefore solution of the equation is (2,4) and (-8,84) .

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Help pleasee
patriot [66]

Answer:

2 + 2 + 2 + 4 + 4 + 4= 20          3 apples and 4 oranges

Step-by-step explanation:

20 - 4 = 16     16 - 4 =      14 - 2 = 12      12 - 4 = 8       8 - 4 = 4        4 - 2 = 2

1 orange   2 oranges     1 apple         3 oranges           4 oranges      2 apples

and 2 - 2 = 0

     3 apples

5 0
3 years ago
The average of 9 scores is x. If the tenth score is 36 points more than x, by how many points will the tenth score raise the ave
Alecsey [184]

Answer:

3.6

Step-by-step explanation:

The average of 9 scores is x.

average = (sum of scores)/(number of scores)

x = (sum of scores)/9

sum of scores = 9x

The sum of the 9 scores is 9x.

The tenth score is 36 more than x, so it is x + 36.

The sum of the 10 scores is 9x + x + 36 = 10x + 36.

The average of the 10 scores is (10x + 36)/10 = x + 3.6

The difference of averages is

x + 3.6 - x = 3.6

5 0
3 years ago
Circle A has center of (4, 5), and a radius of 3 and circle B has a center of (1, 7), and a radius of 9.
Elanso [62]

Answer:

d.is the answer

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Use the table of values to calculate the linear correlation coefficient r. X 4,53,86,162 Y 5,1,13,16
Zielflug [23.3K]
Okay so plug them in to get x and y so use 5 as x and 1 as y
7 0
3 years ago
The answer they gave me is wrong and I got a terrible grade >:( :,(
-BARSIC- [3]

Answer:

who?

Step-by-step explanation:

6 0
3 years ago
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