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3 years ago

What is the value of x, given the following system of linear equations? x + y = 8 and x - y = 2

Mathematics

2 answers:

zaharov [31]3 years ago

5 0

Answer:

$x = 5$

Step-by-step explanation:

$x + y = 8 \\ x - y = 2 \\ x + y + (x - y) = 8 + 2 \\ x + y + x - y = 10 \\ 2x = 10 \\ \frac{2x}{2} = \frac{10}{2} \\ x = 5 \\ \\ x + y = 8 \\ 5 + y = 8 \\ y = 8- 5 \\ y = 3 \\ \\ x - y = 2 \\ 5 - 3 = 2 \\ 2 = 2$

Gala2k [10]3 years ago

3 0

Answer:

Step-by-step explanation

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A Nevada roulette wheel had 38 pockets, labeled as 0 00 1 2 3 ... 35 36. One bet is single number. If you bet $1 on a number (an

slavikrds [6]

Answer:

-0.0526

Step-by-step explanation:

Let X be the random variable denoting the net gain(in dollars) for a single trial(one bet).

Assuming that each number in the wheel is equally likely, probability of the outcome being a victory is $\frac{1}{38}$ and probability of failure is $\frac{37}{38}$ . For a win, X takes value 35 and for a loss X takes value -1. So the model is,

$P(X=35) = \frac{1}{38}$

$P(X=-1) = \frac{37}{38}$

$P(X=i) = 0 \;if\; i \neq 38, i\neq -1$

The mean for one bet is $E(X) = \sum xP(X=x) = 35\times\frac{1}{38} - 1\times\frac{37}{38} = -0.0526$

3 0

3 years ago

In the diagram, JOK and MON are straight lines. Angle NOP and Angle NOQ are complimentary angles. Calculate the value of x - y.

Pepsi [2]

Answer:

x - y = 118

Step-by-step explanation:

Since ∠ NOP and ∠ NOQ are complimentary then ∠ POQ = 90°

Since JOK is a straight line then

∠ JOP + ∠ POQ + ∠ QOK = 180 , that is

76 + 90 + y = 180

166 + y = 180 ( subtract 166 from both sides )

y = 14

Since MON is a straight line then

∠ MOK + ∠ KOQ + ∠ QON = 180, that is

x + 14 + 34 = 180

x + 48 = 180 ( subtract 48 from both sides )

x = 132

Thus

x - y = 132 - 14 = 118

5 0

3 years ago

Simplify the expression. Write answer without spaces between terms and signs.

dsp73

Answer:

4h-7

Step-by-step explanation:

Step by Step Solution

STEP1:Equation at the end of step 1 (1 - 2h) + 2 • (3h - 4) STEP2:

Final result :

4h - 7

4 0

3 years ago

Read 2 more answers

Find the area of a triangle with sides of length 6 and 7 and included angle 74°. (round your answer to one decimal place.)

Yanka [14]

We use this formula:
Area = ½ • side 1 • sine (A) • side 2
Area = ½ • 6 • sine (74) • 7
Area = 21 • sine (74)
Area = 21*0.96126
Area = 20.18646 
Area = 20.2 (rounded)
Source:
http://www.1728.org/triang.htm

5 0

3 years ago

25 POINTS! Over what interval is the function nonlinear?

andreyandreev [35.5K]

Answer:

-2 < x < 2

Step-by-step explanation:

6 0

3 years ago