3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method ​

_____________________________

Hey!!

Solution,

X=5

Now,

y=x^2+2x

=(5)^2+2*5

=25+10

= 35

So the value of y is 35

hope it helps

Good luck on your assignment

___________________________

For the given equation  y = x² + 2x, the value of y when x = 5 is, 35

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

An equation, y = x² + 2x

The value of y when x is equal to 5 = ?

after putting value of x in a equation

⇒ y = 5² + 2 × 5

⇒ y = 25 + 10

⇒ y = 35

Hence, the value of y is 35

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Answer:

Twix and Milky Way!

Step-by-step explanation:

Answer:

whats yall fav candy!

jelly (^__^)

The solution to the equation -2(x + 3) = -6 is x = 0.

To simplify the expression 5t + 7 + 8b, we can combine like terms.

There are two like terms in the expression: 5t and 8b.

Combining the like terms gives us:

5t + 8b + 7

Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.

Regarding the equation -2(x + 3) = -6:

To solve this equation, we can follow these steps:

Distribute the -2 to the terms inside the parentheses:

-2 * x + (-2) * 3 = -6

This simplifies to:

-2x - 6 = -6

Move the constant term to the right side by adding 6 to both sides of the equation:

-2x = 0

Divide both sides of the equation by -2 to isolate the variable x:

x = 0 / -2

Simplifying the right side of the equation gives us:

x = 0

The solution to the equation -2(x + 3) = -6 is x = 0.

The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.

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The mean and the variance of the poisson distribution are;

Mean = 2.66

Variance = 1.277

The formula for the PMF of a Poisson distribution is;

p(x:λ) = [e^(-λ) * λ^(x)]/x! for x = 0, 1, 2......

Thus;

p(x = 0) =  [e^(-λ) * λ^(0)]/0!

e^(-λ) = 0.07

λ = - In 0.07

λ = 2.66

That is the mean

Variance is square root of standard deviation;

Variance = √√(2.66)

Variance = 1.277

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Answer:

2.65926003693 for mean and variance.

Step-by-step explanation:

First of all, when it comes to Poisson distributions, the mean and variance equal the same thing. Here we can find the mean using e^-(lambda)=0.07 therefore lambda= -ln(0.07) which equals 2.65926003693 for both.

Answer:

Amount fudge he needs = 23/24 kg

Step-by-step explanation:

Given:

Total fudge wants = 1\(\frac{1}{2}\) = 3/2 kg

His sister gave = 1/6 kg

He make = 3/8 kg

Find:

Amount fudge he needs

Computation:

Amount fudge he needs = Total fudge wants - His sister gave - He make

Amount fudge he needs = 3/2 - 1/6 - 3/8

Amount fudge he needs = 23/24 kg

Answer:

NO

Step-by-step explanation:

No. The sample of only the 2 fastest swimmers on the swim team is not likely to be representative of the entire swim team. It may not include swimmers with different skill levels or performance abilities, which could lead to a biased representation of the team as a whole. To have a representative sample, it would be necessary to include a diverse range of swimmers from different skill levels and performance abilities.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

10

Step-by-step explanation:

Answer:

10 apples

Step-by-step explanation:

20% of 50 = 10

10 apples

The calculated area of the quadrilateral is 35.82 square units.

Given that

BAse = 6.5

Height = 5.51

To find the area of a quadrilateral, we need to multiply the base by the height.

Area of quadrilateral = base x height

Substituting the given values, we get:

Area = 6.5 x 5.51

Area = 35.815

Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.

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We can see from the question that for Andre's entry-level job a company offered him:

• $46,000 per year plus 2.8% of his total sales.

• We need to determine the total sales for Andre to be for his pay to be ,at least (as high as the average),, that is, ,equal to or greater,, than the average pay for this job ($46,000).

1. Now, we can translate this situation as follows -if we have that n represents Andre's sales amount:

2. To solve the total sales, we can proceed as follows:

• Subtract 46000 from both sides of the inequality:

3. Now, we can multiply both sides by 100/2.8 as follows:

If we round our value for the total sales, n, to two decimal places, then we have:

Therefore, in summary, Andre's total sales would need to be greater or equal to $821,428.57 for his pay to be at least as high as the average pay for this job ($69,000), and we can write it - algebraically - as follows:

The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.

So, the probability of picking any color at random is

P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.

Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:

P(X ≥ 2) = 1 - P(X < 2).

The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.

Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

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Answer:

5/6

Step-by-step explanation:

Answer: 6 feet long

Step-by-step explanation:

1ft. = 12 in

62 inches = 5 feet and 2 inches

Break down 62 into 60 and 2

60 divided by 12 = 5 (12x5=60)

60in. = 5ft.

2in. = 2in.

5ft. and 2in.

10in.= 10in.

Add the inches

10in. + 2 in. = 12 in.

12in.= 1ft.

5ft. + 1ft. = 6ft.

Answer: Nancy’s rope is 6ft. long

Answer:

f of g = 24x²+24x+1

Step-by-step explanation:

f(g(x)) = 6(2x-1)²-5

= 6(2x-1)(2x-1)-5

= 6(4x²+4x+1)-5

= 24x²+24x+6-5

= 24x²+24x+1

Answer:

12x3 − 6x2 − 10x + 5

Step-by-step explanation:

Let f(x) = 6x2 − 5 and g(x) = 2x − 1.

Find f · g. The domain is the set of all real numbers.

Use the multiplication operation.

(f · g)(x) = f(x) · g(x)

Substitute the given expressions for f(x) and g(x).

f · g = (6x2 − 5)(2x − 1)

Use the FOIL method.

= 12x3 − 6x2 − 10x + 5

The required simplified solution of the given expressions is,

(a) 0.56       (b) Not defined.

Simplifying in mathematics refers to the process of working on and understanding a function in order to make it simpler or more understandable.

Here,

(a)

3 = 7ˣ

Applying logarithm,

log3 = xlog7

log3 / log 7 = x

x = 0.56

(b)

-4 = 7ˣ

Applying logarithm,

log(-4) = xlog7

Because log(-4) cannot be defined, the solution to the equation cannot be defined.

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Answer:

1. 1.85

2. 18.5

3. 185

4. 1850

5. Kristen needs '1850' years of yarn

Step-by-step explanation:

Answer:

71 degrees

Step-by-step explanation:

Let's close the top part of the picture to make a parallelogram.

A parallelogram's four angles at each corner MUST be equal to 360 degrees.

Another property of a parallelogram is the opposite angles are congruent, meaning they're equal.

So, using these properties, we can now solve for a.

\(360=a+a+109+109\\360=2a+218\\142=2a\\71=a\)

The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.

Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.

In the case of the given equation, as x increases, z also increases proportionally.

Similarly, if x decreases, z will also decrease proportionally.

Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.

In the given equation, we can see that z is the dependent variable, and x is the independent variable.

We can rewrite the equation as z = kx, where k = 30.

To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.

Here, the cost of buying apples is directly proportional to the number of apples purchased.

For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.

Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.

Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.

The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.

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The probability that a random sample of 30 smoke detectors will have a mean lifetime between 57 and 62 months is 0.8945.

Let x represent the lifespan of smoke detectors manufactured by a business.

We assume that the lifetime of smoke detectors manufactured by a business is normally distributed.

Given: The average lifetime of a company's smoke detectors is 5 years, or 60 months, with an 8-month standard deviation.

μ = 60, σ = 8 and samle size n = 30

The probability that a random sample of 30 smoke detectors will have a mean lifetime of 57 to 62 months is :

P(57 < P < 62) = P{(57-60)/(8/√30) < ((x-μ)/σ)/(σ/√n) < (62-60)/(8/√30)}

P(57 < P < 62) = P(-1.37 < z < 2.05)

= P(z<2.05) - P(z< -1.37)

= P(<2.05)-(1-P(<1.37)) P(Z) = 1 − P(Z < 2)]

= 0.9798178-(1-0.9146565) [By using p-value table for z]

= 0.8944743≈ 0.8945

Hence, the probability that a random sample of 30 smoke detectors will have a mean lifetime between 57 and 62 months is 0.8945.

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the answer is 80 ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

you take 9 x 8 and get 72 then you just add 8 to it and get 80.

The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

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Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

Answer:

\( - 4 \times - 6a = 24a \\ - 4 \times3 = - 12 \\ so \: the \: answer \: is \: \\ 24 a - 12\)

Answer:

The equation that can be used to solve for m∠1 is:

m∠1 = One-half(a – b)

This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:

m∠1 + m∠2 = One-half(a + b)

Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:

m∠1 + m∠2 + m∠3 = 180

where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:

m∠1 + m∠3 = 180

Substituting the equation for the sum of the measures of angles 1 and 2, we get:

m∠1 + One-half(a + b) = 180

Solving for m∠1, we get:

m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)

The time taken to cover a distance of 814 miles for Caynon's home will be 22 hours.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

The time will be calculated as:-

First, we will calculate the speed to cover the distance of Brother's house:-

Speed = Distance / Time

Speed = 481 / 13 = 37 miles per hour.

Now the time to cover a distance of 814 miles will be calculated as:-

Time = Distance / Speed

Time = 814 / 37

Time = 22 hours

Therefore the time taken to cover a distance of 814 miles for Caynon's home will be 22 hours.

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Answer:

Second option

Step-by-step explanation:

In order to find the answer to this question you have to divide the numerator into the denominator remembering that whole numbers have a secret decimal point to the right of itself.

\(\frac{3}{18}\)

\(\frac{3}{18} =3\div18\)

\(3\div18=0.16666666666\)

= 0.16666666666  or 0.16 repeating

Hope this helps.

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Explanation:

The down payment and trade-in value add to 4000+6500 = 10,500

Subtract this total from the car's cost

42,100 - 10,500 = 31,600

This is the amount loaned to the customer.

---------------

We have these input values

Let's compute the monthly payment

P = (L*i)/(1 - (1+i)^(-n))

P = (31600*0.00375)/(1 - (1+0.00375)^(-60))

P = 589.119408031938 approximately

P = 589.12

The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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Answer:

Greater but barely

Step-by-step explanation:

Hope this helps! Pls give brainliest!