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3 years ago

What values of x and y satisfy x + 2y = 6 and 2x + 3y = 4 simultaneously?

2 answers:

8 0

X + 2y = 6
2x + 3y = 4
_________

x = 6 - 2y

2(6-2y) + 3y = 4
12 - 4y + 3y = 4
12 - y = 4
-y = - 8
y = 8

x = 6 - 2 * 8 = 6 - 16 = -10

jeka943 years ago

4 0

First take x + 2y = 6 and isolate x:
x = 6 - 2y
Then substitute that for x in 2x + 3y = 4:
2(6 - 2y) + 3y = 4
12 - 4y + 3y = 4
12 - y = 4
-y = -8
y = 8
Substitute y = 8 into x + 2y = 6 and 2x + 3y = 4:
x + 2(8) = 6 --> x + 16 = 6 --> x = -10
2x + 3(8) = 4 --> 2x + 24 = 4 --> 2x = -20 --> x = -10
y = 8 and x = -10

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Add the two expressions<br> 14.2x + 3 and 2.5x - 6

FrozenT [24]

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5 0

3 years ago

Solve x2 - 8x = 20 by completing the square. Which is the solution set of the equation?

Artyom0805 [142]

Answer:

{-2,10}

Step-by-step explanation:

x^2 - 8x = 20

Take the coefficient of x

-8

Divide by 2

-8/2 =-4

Square it

(-4)^2 =16

Add this to each side

x^2 - 8x+16 = 20+16

x^2 - 8x+16 = 36

The left hand side becomes( x + (-8/2) )^2

(x - 4)^2 = 36

Take the square root of each side

sqrt((x - 4)^2) =±sqrt( 36)

x-4 = ±6

Add 4 to each side

x-4+4 = 4±6

x = 4±6

x = 4+6 x = 4-6

x = 10 x = -2

3 0

4 years ago

The diameters of F and G are 5 and 6 units, respectively. Find each measure.

harkovskaia [24]

Answer:

Part 8) B.F=0.5 units

Part 9) A.B=2 units

Step-by-step explanation:

we have

The diameter of circle F is 5 units

The radius of circle F is r.f=5/2=2.5 units

The diameter of circle G is 6 units

The radius of circle G is r.g=6/2=3 units

Part 8) Find B.F

we know that

B.F=G.B-F.G

we have

G.B=rg=3 units

FG=rf=2.5 units

substitute the values

B.F=3-2.5=0.5 units

Part 9) Find A.B

we know that

A.B=A.F-B.F

we have

A.F=r.f=2.5 units

B.F=0.5 units

substitute the values

A.B=2.5-0.5=2 units

7 0

4 years ago

Imagine that you have entered the following distribution of scores into the program: 7, 9, 6, 3, 7, 8, 4, 10, 7, 9. The mean of

ozzi

Answer:

Step-by-step explanation:

Mean refers to the average value of the set of data.

It is the central value of the set of data.

Another word for Mean is average.

Given scores:7, 9, 6, 3, 7, 8, 4, 10, 7, 9

Solution:

Sum of observations = $7+ 9+ 6+ 3+ 7+ 8+ 4+ 10+ 7+ 9=70$

Number of observations = 10

Mean = Sum of observations/Number of observations = $\frac{70}{10}=7$

If observation 3 is removed:

Sum of observations = $7+ 9+ 6+ 7+ 8+ 4+ 10+ 7+ 9=67$

Number of observations = 9

Mean = Sum of observations/Number of observations = $\frac{67}{9}=7.44$

If observation 4 is removed:

Sum of observations = $7+ 9+ 6+ 3+ 7+ 8+ 10+ 7+ 9=66$

Number of observations = 9

Mean = $\frac{66}{9}=7.3$

If observation 6 is removed:

Sum of observations = $7+ 9+ 3+ 7+ 8+ 4+ 10+ 7+ 9=64$

Number of observations = 9

Mean = $\frac{64}{9}=7.1$

If observation 7 is removed:

Sum of observations = $9+ 6+ 3+ 8+ 4+ 10+ 9=49$

Number of observations = 7

Mean = $\frac{49}{7}=7$

If observation 8 is removed:

Sum of observations = $7+ 9+ 6+ 3+ 7+ 4+ 10+ 7+ 9=62$

Number of observations = 9

Mean = $\frac{62}{9}=6.9$

If observation 9 is removed:

Sum of observations = $7+ 6+ 3+ 7+ 8+ 4+ 10+ 7=52$

Number of observations = 8

Mean = $\frac{52}{8}=6.5$

If observation 10 is removed:

Sum of observations = $7+ 9+ 6+ 3+ 7+ 8+ 4+ 7+ 9=60$

Number of observations = 9

Mean = $\frac{60}{9}=6.7$

Therefore, mean of this distribution of scores would be changed the most if a score 3 was removed from the data set.

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4 years ago

Convert 17/6 into a mixed number

guapka [62]

2 5/6 is your answer..

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3 years ago

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