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2 years ago

12

Use each method to solve system of linear equation. Show your solution.

1 answer:

Sphinxa [80]2 years ago

4 0

Answer:

x=-1 y =-1

Step-by-step explanation:

multiply equation 1 with (-2)

+6x-2y=-14

5x+2y=3

now add equation 1 to equation 2

11x=-11

x=-1

now substitute x=1 in 1 or 2

5(1)+2y=3 5+2y=3 2y=3-5 2y= -2 y= -1

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The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,

Mama L [17]

Answer:

$(a)\ P(x = 0) = 0.2725$

$(b)\ P(x \ge 1) =0.7275$

$(c)\ P(x \le 2) = 0.8948$

Step-by-step explanation:

Given

$n = 8$ --- 8 friends

$p = 15\%$ --- proportion that one-time fling

This question is an illustration of binomial probability, and it is represented as:

$P(X = x) = ^nC_x* p^x * (1 - p)^{n-x}$

Solving (a): P(x = 0) --- None has done one time fling

$P(x = 0) = ^8C_0* (15\%)^0 * (1 - 15\%)^{8-0}$

$P(x = 0) = 1* 1 * (1 - 0.15)^{8}$

$P(x = 0) = 0.85^8$

$P(x = 0) = 0.2725$

Solving (b): $P(x \ge 1)$

To do this, we make use of compliment rule:

$P(x = 0) + P(x \ge 1) =1$

Rewrite as:

$P(x \ge 1) =1 - P(x = 0)$

$P(x \ge 1) =1 - 0.2725$

$P(x \ge 1) =0.7275$

Solving (c): $P(x\le 2)$ --- Not more than 2 has one time fling

This is calculated as:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

We have:

$P(x = 0) = 0.2725$

$P(x = 1) = ^8C_1* (15\%)^1 * (1 - 15\%)^{8-1}$

$P(x = 1) = 8* (0.15) * (1 - 0.15)^7$

$P(x = 1) = 0.3847$

$P(x = 2) = ^8C_2* (15\%)^2 * (1 - 15\%)^{8-2}$

$P(x = 2) = 28* (0.15)^2 * (1-0.15)^6$

$P(x = 2) = 0.2376$

So:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

$P(x \le 2) = 0.2725 + 0.3847 + 0.2376$

$P(x \le 2) = 0.8948$

4 0

2 years ago

Find the product. (-2x^2 )^3 ·3 x

jeka94

Assignment: $\bold{Solve \ \left(-2x^2\right)^3\cdot \:3x}$

<><><><><>

Answer: $\boxed{\bold{-24x^7}}$

<><><><><>

Explanation: $\downarrow\downarrow\downarrow$

<><><><><>

[ Step One ] Rewrite $\bold{\left(-2x^2\right)^3}$

$\bold{-2^3\left(x^2\right)^3}$

[ Step Two ] Rewrite Equation

$\bold{-2^3\cdot \:3x^6x}$

[ Step Three ] Apply Exponent Rule

Note: $\bold{Exponent \ Rule \ \:a^b\cdot \:a^c=a^{b+c}: \ x^6x=\:x^{6+1}=\:x^7}$

$\bold{-2^3\cdot \:3x^7}$

[ Step Four ] Refine

$\bold{-24x^7}$

<><><><><><><>

$\bold{\rightarrow Rhythm \ Bot \leftarrow}$

4 0

3 years ago

Read 2 more answers

36<br>48<br>Common Factors:<br>GCF:<br><br><br>What is it?

Lady_Fox [76]

Answer: 6

Step-by-step explanation: 36 divided by 6 equals 6

48 divided by8 is 6

common factor is 6

4 0

3 years ago

borishaifa [10]

5
hope this helped!!!!!!!

3 0

3 years ago

What is the degree classification of this polynomial?<br> x^2+4x-8

Darina [25.2K]

You can find the degree classification by what is the greatest power shown in the polynomial. In this case, your answer is 2. Remember, it will be easier to find the degree when you order the terms from greatest to least by powers.

6 0

3 years ago