The graph shows the system of equations below. 2 x minus 3 y = negative 6. y = negative one-third x minus 4 Which statement is supported by the graph? The blue line represents the equation and the solution to the system of equations is (–6, –2). The blue line represents the equation and the solution to the system of equations is ( –2, –6). The red line represents the equation and the solution to the system of equations is (2, –4). The red line represents the equation and the solution to the system of equations is (–4, 2).

The standard form of the equation of the line passing through (8,-3) that is parallel to the line 3y=4x+8 is 4x - 3y = 41

The equation of the line in standard form can be represented as follows:

Ax + By = C

where

Therefore, the standard form of the equation of the line through (8,-3) that is parallel to the line 3y = 4x + 8 is a s follows;

Parallel lines have the same slope.

Hence,

3y = 4x + 8

y = 4  / 3 x + 8 / 3

The slope of the line is 4 / 3. Hence, the line passes through (8, -3). let's find the y-intercept.

y = 4 / 3 x + b

-3 = 4 / 3 (8) + b

b = -3 - 32 / 3

b =  -9 - 32/ 3

b = -41 / 3

Hence,

y = 4 / 3 x - 41 / 3

multiply through by 3

3y = 4x - 41

Therefore, the standard form is 4x - 3y = 41

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Answer:

0.0026 x 1000 = 2.6

Step-by-step explanation:

Looked it up

Answer:

∠A=120°; ∠B=20°.

Step-by-step explanation:

1) ∠A+∠B+∠C=180°;

2) 6x+x+40=180°; ⇒ x=20;

3) ∠A=6x; ⇒ ∠A=120°;

∠B=x; ⇒ ∠B=20°.

Answer:

Results are below.

Step-by-step explanation:

First, we need to determine the sales budget for April, May, and June:

Sales budget April:

Number of units sold= 20,000

Sales revenue= 20,000*15= $300,000

Sales budget May:

Number of units sold= 50,000

Sales revenue= 50,000*15= $750,000

Sales budget June:

Number of units sold= 30,000

Sales revenue= 30,000*15= $450,000

Now, the production budget using the following formula:

Production= sales + desired ending inventory - beginning inventory

Production budget April:

Sales= 20,000

Desired ending inventory= 50,000*0.1= 5,000

Beginning inventory= 0 (assuming no beginning inventory)

Production= 25,000

Production budget May:

Sales= 50,000

Desired ending inventory= 30,000*0.1= 3,000

Beginning inventory= (5,000)

Production= 48,000

Production budget June:

Sales= 30,000

Desired ending inventory= 25,000*0.1= 2,500

Beginning inventory= (3,000)

Production= 29,500

Answer:

Step-by-step explanation:

Set this up as a ratio of proportions of petrol : oil

\(\frac{p}{o}\) and if the ratio of the mix has to be 5p to 2 oil then:

\(\frac{p}{o}:\frac{5}{2}\)  We need to find how much oil, x, is needed to mix with 10 liters of petrol. Completing the proportion with that ratio gives us the problem in its entirety:

\(\frac{p}{o}:\frac{5}{2}=\frac{10}{x}\) and cross multiply

5x = 20 so

x = 4 liters of oil are needed to mix with 10 liters of petrol.

Solution

For this case the diameter is :

d= 1/6 yd

And we want to find the circumference so we can use this formula:

Then the best answer is:

A) 11/21 yard

Answer: y = 5x-2

Step-by-step explanation:

So, Gina's farm produced approximately 471.8 tons of sweet potatoes this year. Rounded to the nearest whole number, this is 472 tons.

When we talk about an increase, we are referring to a change in quantity or value that is greater than the original amount. In other words, an increase means that something has gotten bigger, larger, or more than it was before.

Given by the question.

To find out how much sweet potatoes Gina's farm produced this year, we need to add 40% of last year's production to the amount produced last year:

40% of 337 tons = 0.4 x 337 = 134.8 tons

Adding this to last year's production gives:

337 + 134.8 = 471.8 tons

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Answer:

The squirrel

Step-by-step explanation:

4.5/30 is 0.15 per minute while the squirrel is 4/20 which equals 0.2 per minute. 0.2 is greater than 0.15 making the squirrel faster. Hope this helps!

The tangent of the subtraction of angles x and y is defined as follows:

tan(x - y) = (36 - 20π)/(48 + 15π)

The tangent of the subtraction of two angles is obtained according to the identity presented as follows:

tan(x - y) = [tan(x) - tan(y)]/[1 + tan(x)tan(y)]

The tangent of angle x is given as follows:

3/4.

The tangent and cotangent are defined as follows:

Hence the tangent of angle y is obtained inverting the numerator and the denominator of the function, as follows:

tan(y) = 5π/12.

The subtraction of the two tangents is given as follows:

tan(x) - tan(y) = 3/4 - 5π/12 = 9/12 - 5π/12 = (9 - 5π)/12.

The quotient of the two tangents is given as follows:

tan(x)tan(y) = 3/4 x 5π/12 = 15π/48.

Then the denominator of the expression is given as follows:

1 + 15π/48 = (48 + 15π)/48.

Considering the division of the two fractions, the tangent of the subtraction is defined as follows:

tan(x - y) = (9 - 5π)/12 x 48/(48 + 15π)

tan(x - y) = (36 - 20π)/(48 + 15π)

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To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.

What is Linear equation ?

Linear equation can be defined as the equation in which the highest degree is one.

First equation of system A multiplied by -3:

(-3)(x+6y=5)

(-3)(x)+(-3)(6)=(-3)(5)

-3x-18=-15

Sum of the second equation of system A and the first equation multiplied by -3:

(-3x-18)+(3x-7y)=(-15)+(-35)

-3x-18+3x-7y=-15-35

-25y=-50

System B

x+6y=5

-25y=-50

Hence,  To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.

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Answer:

-19

Step-by-step explanation:

Answer:

mid

Step-by-step explanation: you

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

From the question, we have the following functions that can be used in our computation:

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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Answer:

-3/4

Step-by-step explanation:

Answer:

-3/4 on EDG 2020

Step-by-step explanation:

Got it Right :)

Answer:

15 miles per day

Step-by-step explanation:

75 miles/3 days = 15 miles/1 day

Answer:

$9

Step-by-step explanation:

Answer:

comments r full

Step-by-step explanation:

Answer:

hsishisnsidhidhdidjjxnxindidhdinsixhxkxjosjskxijxhsishodjdixjishs

Using compound interest formula, her balance after retirement is $430797.77

To calculate the balance of Marissa's retirement account after 30 years, we need to determine how much her savings account and index fund will be worth after 30 years, taking into account the interest earned and her monthly contributions.

First, we'll calculate the balance of her savings account:

Initial deposit: $2000

Interest rate: 1.5%

Monthly contribution: $150

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her savings account after 30 years will be:

2000*(1+0.015/12)^360 + 150*(((1+0.015/12)^360-1)/(0.015/12))

A = $71280.33

Next, we'll calculate the balance of her index fund:

Initial deposit: $1000

Interest rate: 6.8%

Monthly contribution: $300

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her index fund after 30 years will be:

A = 1000*(1+0.068/12)^360 + 300*(((1+0.068/12)^360-1)/(0.068/12))

A = $359517.44

Then we can add the balance of both the savings account and the stock market to get the total balance of Marissa's retirement account.

Her balance = $71280.33 + $359517.44 = $430797.77

Please note that the above answer is an estimation, in reality there are other factors such as taxes, inflation, fees, and market conditions that should be considered in a real-world scenario.

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Answer: x=9/4

Step-by-step explanation:

combine like terms then

4x+7=16

4x=9

x=9/4 or 2.25

2x -x + 9 +3x -2 = 16

COMBINE LIKE TERMS

2x- x + 3x =4x    9 -2=7

4x+7 = 16

4x +7 -7 = 16 -7

4x = 9

4x/4 = 9/4

x = 2.25 or 2 1/4

\(\sf \dfrac{7}{24}.\)

\(\sf \dfrac{7}{16} *\dfrac{4}{3}*\dfrac{1}{2}\)

When multiplying fractions, we can always just multiply all the numerators together and the denominators aswell, like this:

\(\sf \dfrac{7*4*1}{16*3*2}=\dfrac{28}{96}\)

We could divide both the numerator and denominator by 4 to fully simplify this answer:

\(\sf \dfrac{28/4}{96/4}=\dfrac{7}{24}\)

Since the numerator (7) is a prime number, this fraction cannot be further simplified.

\(\sf \dfrac{7}{24}.\)

Answer:

C) -2/3

Step-by-step explanation:

The expression tan(arcsec(x/3)) can be written   \(1/3 \sqrt{x^2-9}\)  in algebraic form.

The inverse secant function, or arcsecant, is defined as the inverse of the secant function, which is the ratio of the length of the hypotenuse of a right triangle to the length of the adjacent side. Given x/3 as the length of the adjacent side, arcsec(x/3) is the measure of the angle that has a secant equal to x/3.

The tangent function is the ratio of the length of the opposite side of a right triangle to the length of the adjacent side. By substituting arcsec(x/3) as the measure of the angle in a right triangle, we can use the tangent function to find the ratio of the lengths of the opposite and adjacent sides, which is equal to \(1/3 \sqrt{x^2-9}\).

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To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.

The formula for the future value of an investment with regular monthly contributions is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value or the total in the retirement account.

P is the monthly contribution amount.

r is the monthly interest rate (annual interest rate divided by 12).

n is the number of monthly contributions (years invested multiplied by 12).

Let's calculate the total:

P = $225

r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)

n = 38 * 12 = 456 (number of monthly contributions)

FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583

Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.

The calculated total may vary depending on the compounding frequency and rounding used.

Answer:

I’m not sure but maybe 8?

Step-by-step explanation:

Answer:2?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Regs.

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Spinner A

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