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3 years ago

-7x - 6у = 4 x = -3y + 8 Solve the system if equations X=? Y=?

Mathematics

1 answer:

Gala2k [10]3 years ago

6 0

Answer:

(x, y) = ( -4 , 4)

Step-by-step explanation:

STep 1: substitute the given value of x into the equation -7 x - 6y = 4 which will be -7 (-3 y + 8) - 6 y = 4

STEP 2: solve the equation for y so basically -7 (-3 y + 8) - 6 y will be y = 4

STEP 3:substitute the given value of x into the equation so y = 4 would be

x = -3 x 4 + 8

STEP 4: solve the equation for x. -3 x 4 + 8 which you'd end up with x = -4

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Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t

LiRa [457]

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

$(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)$

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

$(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)$

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6) $=\dfrac{20}{36}$

The probability distribution of this event is given as follows.

$\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|$

First, we determine the expected Value of this event.

Expected Value

$=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67$

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning $=\dfrac{20}{36}$

If the game is played 100 times

Number of times expected to win

$=\dfrac{20}{36} \times 100\\=56$ times$

Therefore, number of times expected to loose

= 100-56

=44 times

8 0

4 years ago

Write and solve an equation that represents the following:<br> Twenty more than a number is eighteen

ArbitrLikvidat [17]

Salutations!

Let the number be $x$

The equation would be: $x+20=18$

Lets solve this!

We need to always keep the variables aside, and the numbers aside.

$x=20-18$

$x=2$

Hope I helped (:

Have a great day!

8 0

4 years ago

Read 2 more answers

Find the GCF of the terms of the polynomial. 33x^3 + 18^6

Ronch [10]

$33x^3=\boxed{3}\cdot11\cdot\boxed{x}\cdot\boxed{x}\cdot\boxed{x}\\\\18x^6=2\cdot\boxed{3}\cdot3\cdot\boxed{x}\cdot\boxed{x}\cdot\boxed{x}\cdot x\cdot x\cdot x\\\\GCF(33x^3,\ 18x^6)=\boxed{3}\cdot\boxed{x}\cdot\boxed{x}\cdot\boxed{x}=3x^3$

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4 years ago

Find the surface area of the prism. Length: 5 width: 8 height: 12 in

frez [133]

Answer:

The only answer I have for this could be 392in²

7 0

3 years ago

The resultant force, R, is related to two concurrent forces, X and Y, acting at right angles to one another, by the formula . Re

makvit [3.9K]

Answer:

Y = √(R² - X²)

Step-by-step explanation:

∵ The two forces acting at right angles to each other

∴ The resultant force R = √(X² + Y²)

∴ R² = X² + Y²

∴ Y² = R² - X²

∴ Y = √(R² - X²)

5 0

3 years ago