The multipliers that will create opposite terms of the y-variable for this system have been determined. Use the equivalent system of equations to solve the system. 4(3x − 1 4 y = 15) → 12x − y = 60 −6(2 3 x − 1 6 y = 6) → − 4x + y = − 36 What is the solution to the system of equations? ( , )

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

Step-by-step explanation:

Midpoints of two coordinates is expressed using the formula;

M(X, Y) = (x2+x1/2, y2+y1/2)

Given the coordinates  c(5,3) and d(-3,-6)

x1 = 5, y1 = 3, x2 = -3 and y2 = -6

X = x1+x2/2

X = 5+(-3)/3

X = 5-3/2

X = 2/2

X = 1

Also;

Y = y1+y2/2

Y = 3+(-6)/2

Y = 3-6/2

Y = -3/2

Y = -1.5

Hence the coordinates of the midpoint M is (1, -1.5)

Answer:

Step-by-step explanation:

Hence the coordinates of the midpoint M is (1, -1.5)

Step-by-step explanation:

f(x) = 40 (2 + e⁻ˣ) / x

If we say g(x) = 1 / x, then:

0 < g(x) < f(x)

g(x) diverges. and f(x) > g(x), so f(x) also diverges.

Answer:

D. $27.72

Step-by-step explanation:

Calculation for How much more money will she need to pay for text messages

First step is to the Total cost of sending 204 messages

Total cost=204 messages* $0.18 per text message

Total cost =$36.72

Last step is to compute for How much more money will she need to pay for text messages

Amount to be paid =$36.72-$9.00

Amount to be paid=$27.72

Therefore How much more money will she need to pay for text messages will be $27.72

Answer:

D

Step-by-step explanation:

Answer:

\(y=7x -7\)

Step-by-step explanation:

We are given two points, the y - intercept and the x - intercept.

The y - intercept being: ( 0, -7 )

The x - intercept being: ( 1, 0 )

The equation of a line in slope - intercept form is:

y = mx + b, where m is the slope and b is the y - intercept.

We already have the y - intercept. So far we have:

y = mx - 7

What we're missing is the slope.

To find the slope, we can use this formula:

\(\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\), where \(x_{2}\) and \(x_{1}\) are the x - coordinates of both points and \(y_{2}\) and \(x_{1}\) are the y - coordinates of both points.

\(m=\frac{0-(-7)}{1-0} \\\\m=\frac{7}{1}\\m=7\)

We now have the missing piece, the slope, so the equation now is:

\(y=7x -7\)

Answer:

Systematic sampling

Step-by-step explanation:

Systematic sampling is a sampling technique in which the first sample selection is a random selection but other subsequent selection of samples occurs within a fixed sampling interval. The determination of this interval is based on the division of the population size by sample size.

Let assume that, our first random selection is \(i^{th}\) unit, then the other fixed selection occurs at a fixed sampling interval of k.

Therefore, using systematic sampling method, the sampling unit will be every \(k^{th}\) unit after the \(i^{th}\) unit.

From  the question given:

We notice that the manager selects a sampling unit every 15th  hour. This tells us that he is taking the sampling unit by the usage of a fixed time interval.

Hence, this appears to be a systematic sample.

Answer:

f(1) = 1

Step-by-step explanation:

The value of f(1) simply means what is the corresponding output we would get for an input of 1.

This also implies that for what of y is x equal to 1?

From the graph, when x = 1, y = 1.

Thus:

f(1) = 1

Answer:

x = 1/9x + 2/9c

Step-by-step explanation:

9x – 2c = k

9x = k + 2c

x = 1/9x + 2/9c

Best of Luck!

Answer:

x = 5

Step-by-step explanation:

see attachment

Answer:

d = 3.2

Step-by-step explanation:

1 * 3.2 = 3.2

Hence,

d = 3.2

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

2/5

Step-by-step explanation:

There are a total of 4+3+2+1=10 marbles in the bag. Since there is an equal chance of drawing any marble from the bag, the chances of drawing a red marble is equal to the number of red marbles divided by the total number of marbles.

What we're given:

Therefore, the probability of drawing a red marble is:

\(\frac{4}{10}=\boxed{\frac{2}{5}}\)

Answer: Most probably

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

i guessed

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

(I would appreciate a thanks, a rating and/or a Brainliest rating if this helped you)

Answer:

x = 8

Step-by-step explanation:

Starting with the given equation:

 -5[x-8]+2=2

We first need to simplify the left-hand side of the equation using the distributive property of multiplication over addition/subtraction:

 -5x + 40 + 2 = 2

Simplifying the left-hand side further, we can combine like terms:

-5x + 42 = 2

To isolate the variable, we need to move the constant term (42) to the right-hand side of the equation by subtracting it from both sides:

-5x = -40

Finally, we can solve for x by dividing both sides of the equation by -5:

x = 8

Therefore, the solution to the given equation is x = 8.

Step-by-step explanation:

ans:

option

c

mark me as brainliest

Answer:

Im just as lost

Step-by-step explanation:

srry I couldnt help bc I am not whatever grade that is

Answer:(1,1)

Step-by-step explanation:

just got it on the quiz

Answer:

Read below

Step-by-step explanation:

If there are 12 marbles it could split up many different ways for it to be equal among every color. 4 of each for 3 colors or 3 of each for 4 colors. The list goes on you could even have 12 different colors.

Answer:

I think it's the second one, by using the process of elimination and knowing there are 12 in total we could simplify it and that can equal 1/6 and 1/6 is 5 sections 1 coin. You see what I mean.

Step-by-step explanation:

I think it's wrong, looking forward to another week of punishment. Hooray. Woo-Hoo, yay.

Based on the information, the Stafford loan will have a lower balance by $527.14 at the time of repayment

Using the formula for compound interest, the total cost of the loan can be calculated as follows:

Total cost of Stafford loan = $11,650 x (1 + 0.0595/12)^(12*0.5) = $12,652.14

Total cost of PLUS loan = $12,436.41 x (1 + 0.0655/12)^12 = $13,179.28

Therefore, the Stafford loan will have a lower balance at the time of repayment by $527.14 ($13,179.28 - $12,652.14).

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True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

675÷1600

Step-by-step explanation:

no other one is correct just that one

The speed of the butterfly travelling is 30 miles per hour as given on the graph G.

For F, the slope is 150/25 = 6 so this is false

For G, the slope is 150/5 = 30, this is true.

For H, the slope is 25/150 = 1/6, This is false

For J, th slope is 5/150 = 1/30, this is also false.

Thus, the correct answer is option G.

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Full Question:

See attached image

Answer:

Step-by-step explanation:

You want to show that the point (4, -4) is on the graph of x² +y² = 32, and you want the tangent and normal lines at that point.

The point is on the curve because when x = 4 and y = -4 the resulting statement is 16 +16 = 32, which is a true statement.

The tangent to a circle is most easily found by first considering the normal. The normal line will be the line through the point on the circle and the center of the circle. Here, the center is (0, 0). The slope of the normal line is ...

  m = y/x = -4/4 = -1

The tangent line's slope is the opposite reciprocal of this:

  m = -1/(-1) = 1

The point-slope form of the equation for the tangent line is ...

  y -k = m(x -h) . . . . . equation for line with slope m through point (h, k)

  y -(-4) = 1(x -4) . . . . . equation for line with slope 1 through point (4, -4)

  x -y = 8 . . . . . . . . . . add 4-y to put in standard form

The equation of the tangent line is x - y = 8.

In the section above, we found the slope of the normal line is -1. We also noted that the normal line goes through the point (0, 0). Then the point-slope form of the normal line is ...

  y -0 = -1(x -0)

  y = -x

The equation of the normal line is y = -x.

__

Additional comment

The normal line can also be written as x + y = 0.

The tangent line can also be written as y = x -8.

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Answer:

Step-by-step explanation:

Point: 10,-9

k=-2

y=-2x+b

So: 9, -7

8,-5

7,-3

6,-1

5,1

4,3

3,5

2,7

1,9

0,11

y=-2x+11

Answer:

y + 9 = - 2(x - 10)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 2 and (a, b ) = (10, - 9 ) , then

y - (- 9) = - 2(x - 10) , that is

y + 9 = - 2(x - 10)