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2 years ago

6

Solve the system with elimination. {2x-y=2, -5x+4y=-2

1 answer:

DaniilM [7]2 years ago

6 0

Answer:

{x=2,y=2

Step-by-step explanation:

Equation 1:

Multiply both sides of the equation by a coefficient

{ 4(2x-y)=2*4

-5x+4y=-2

Apply Multiplicative Distribution Law

{8x-4y=2*4,-5x+4y=-2

8x-4y+(-5x+4y)=8+(-2)

Remove parentheses

8x-4y-5x+4y=8-2

Cancel one variable

8x-5x=8-2

Combine like terms

3x=8-2

Calculate the sum or difference

3x=6

Divide both sides of the equation by the coefficient of the variable

x=6/3

Calculate the product or quotient

x=2

Equation two:

{-5+4y=-2, x=2

-5*2+4y=-2

Calculate the product or quotient

-10+4y =-2

Reduce the greatest common factor (GCF) on both sides of the equation

-5+2y=-1

Rearrange unknown terms to the left side of the equation

2y=-1+5

Calculate the sum or difference

2y=4

Divide both sides of the equation by the coefficient of the variable

y=4/2

y=2

Hope this helps!!

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The weights (in pounds) of 30 newborn babies are listed below. find q1. 5.5 5.7 5.8 6.0 6.1 6.1 6.3 6.4 6.5 6.6 6.7 6.7 6.7 6.9

sdas [7]

From the given data we shall obtain the following boxplot, which we can generate the information given:

<span>5.5, 5.7, 5.8, 6.0, 6.1, 6.1, 6.3, 6.4, 6.5, 6.6, 6.7, 6.7, 6.7, 6.9, 7.0, 7.0, 7.0, 7.1, 7.2, 7.2, 7.4, 7.5, 7.7, 7.7, 7.8, 8.0, 8.1, 8.1, 8.3, 8.7

1st Qu=6.425
3rd Qu=7.650

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4 0

3 years ago

Read 2 more answers

AN ARTICLE STATED THAT “INTERNAL SURVEYS PAID FOR BY DIRECTORY ASSISTANCE PROVIDERS SHOW THAT EVEN THE MOST ACCURATE COMPANIES G

yan [13]

Using the binomial distribution, there is a 0.3474 = 34.74% probability of getting one wrong number.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, the values of the parameters are given by:

p = 0.15, n = 10.

The probability of getting one wrong number is P(X = 1), hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

P(X = 1) = C(10,1) x (0.15)¹ x (0.85)^9 = 0.3474

0.3474 = 34.74% probability of getting one wrong number.

More can be learned about the binomial distribution at brainly.com/question/24863377

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8 0

2 years ago

What is the rate of change for the table below?

Ulleksa [173]

Unproportional. 60/10=6
90/20=4.5
120/30=4
150/40=3.75

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2 years ago

Read 2 more answers

Find the missing length of the following trapezoid

Schach [20]

Answer:

1) The length of $DC$ is 20.

2) The length of $PS$ is 17.

Step-by-step explanation:

1) If $DR = RE$ and $CS = SB$ , then we can use the following proportionality ratio:

$\frac{DE}{DR} = \frac{32 - x}{26 - x}$ (1)

Where $x$ is the length of segment $\overline{CD}$ .

If $DE = 2\cdot DR$ , then the value of $x$ is:

$2 = \frac{32-x}{26-x}$

$52 - 2\cdot x = 32 - x$

$20 = x$

The length of $DC$ is 20.

2) If $QV = VP$ and $RW = WS$ , then we can use the following proportionality ratio:

$\frac{QP}{QV} = \frac{x-7}{12-7}$ (2)

Where $x$ is the length of segment $\overline{PS}$ .

If $QP = 2\cdot QV$ , then the value of $x$ is:

$2 = \frac{x-7}{5}$

$10 = x-7$

$x = 17$

The length of $PS$ is 17.

4 0

3 years ago

AB, CD and EF are straight lines. <br> AB is parallel to CD.<br> work out the size of angle y.

Yuri [45]

Answer:

y = 108°

Step-by-step explanation:

Since, line AB is parallel to line CD,

By the definition of corresponding angles,

m∠FPB = m∠FQD

(2x + 16)° = (3x - 12)°

3x - 2x = 16 + 12

x = 28

(3x - 12) = 3(28) - 12

= 72°

m∠FQD + m∠EQD = 180° [Linear pair of angles]

72° + y = 180°

y = 180 - 72

y = 108°

4 0

2 years ago