Can someone please help me with this drag and drop? I would appreciate It a lot! Please explain :) I’ll give brainliest

the reflection of the function g(x)=|x| in the y-axis will be h(x) = |x|  

What is reflection in coordinate geometry ?

this represents the flip or mirror image of transformation about the given axis.

For every point in the plane (x, y), a 90° rotation can be described by the transformation P(x, y) → P'(-y, x). We can achieve this same transformation by performing two reflections.

Here, the given function is :

g(x)=|x|

Now, the reflection in the y-axis will be same that is :

h(x)= g(x)

h(x) = |x|

Therefore, the reflection of the function g(x)=|x| in the y-axis will be h(x) = |x|  

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By plotting the points, we get a non-linear function

Given:

The parent function of the given function (x²)

We will find the horizontal or vertical translations to get the given function.

the general form of the translation will be as follows:

Where (a) is the horizontal translation and (b) is the vertical translation

Comparing the given equation to the formula:

So, the answer will be:

Horizontal: 5 units to the left

Vertical: 4 units down

Answer

Minimum value of the function = (-41/8)

Explanation

The minimum or maximum of a function occurs at the turning point of the graph of the function.

At this turning point, the first derivative of the function is 0.

The second derivative of the function is positive when the function is at minimum and it is negative when the function is at maximum.

f(x) = 8x² + 2x - 5

(df/dx) = 16x + 2

At minimum or maximum point,

16x + 2 = 0

16x = -2

Divide both sides by 16

(16x/16) = (-2/16)

x = (-1/8)

Second derivative

f(x) = 8x² + 2x - 5

(df/dx) = 16x + 2

(df²/d²x) = 16 > 0, that is, positive.

So, this point is a minimum point.

f(x) = 8x² + 2x - 5

f(-1/8) = 8(-1/8)² + 2(-1/8) - 5

= 8 (1/64) - (1/4) - 5

= (1/8) - (1/4) - 5

= (1/8) - (2/8) - (40/8)

= (1 - 2 - 40)/8

= (-41/8)

Hope this Helps!!!

It is given that the one number is always less than the opposite of the other.

So the equation formed is y<-x

The graph is obtained as

The set of values {A = 0, B = 1, and C = 2} to have a completely horizontal line.

A horizontal line is defined as a line with slope m = 0 that is parallel to the x-axis.

A horizontal line across (-4,2) informs us of two things.

A horizontal line with slope m = 0 is parallel to the x-axis.

The line crosses the point (-4,2).

Ax + By = C has m = B/A = 0 slope and intersects point (-4,2).

Then, B = A×0 indicates that any constant A will work, and the Ax term disappears.

Ax + By = C then becomes y = C. To find C, use the point (-4,2).

⇒ C = 2

This line's equation is y = 2, and any point (x,2) matches the equation.

Therefore, the set of values {A = 0, B = 1, and C = 2} to have a completely horizontal line.

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Answer:

Step-by-step explanation:

17

Given data:

The given coordinate of L is (-1,4).

The given coordinate of M is(-1, -3).

The expression for LM length is,

Thus, the LM length is 7 units.

Answer:

Domain as an inequality:   [tex]\boldsymbol{\text{x} < 6 \ \text{ or } \ -\infty < \text{x} < 6}[/tex]

Domain in interval notation:  [tex]\boldsymbol{(-\infty, 6)}[/tex]

Range as an inequality:  [tex]\boldsymbol{\text{y} \le 6 \ \text{ or } \ -\infty < \text{y} \le 6}[/tex]

Range in interval notation:  [tex]\boldsymbol{(-\infty, 6]}[/tex]

=========================================================

Explanation:

The domain is the set of allowed x inputs. For this graph, the right-most point is when x = 6. This endpoint is not part of the domain due to the open hole. The graph goes forever to the left to indicate [tex]\text{x} < 6[/tex] but I think [tex]-\infty < \text{x} < 6[/tex] is far more descriptive.

The second format directly leads to the interval notation of [tex](-\infty, 6)[/tex]

Always use parenthesis for either infinity. We use a parenthesis for the 6 to tell the reader not to include it as part of the domain.

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

The range is the set of possible y outputs.

The highest y can get is y = 6

Therefore, y = 6 or y < 6

The range can be described as [tex]\text{y} \le 6 \ \text{ or } \ -\infty < \text{y} \le 6[/tex] where the second format is better suited to lead directly to the interval notation [tex](-\infty, 6][/tex]

Use a square bracket to include the 6 as part of the range. We don't have any open holes at the peak mountain point.

Answer:

[tex]\textsf{Domain}: \quad (-\infty, 6) \quad -\infty < x < 6[/tex]

[tex]\textsf{Range}: \quad (-\infty,6] \quad -\infty < y\leq 6[/tex]

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

The range of a function is the set of all possible output values (y-values).

An open circle indicates the value is not included in the interval.

A closed circle indicates the value is included in the interval.

An arrow show that the function continues indefinitely in that direction.

Interval notation

Inequality notation

From inspection of the given graph, the function is not continuous and so the domain is restricted.

There is an open circle at x = 6.

Therefore, the domain of the function is:

From inspection of the given graph, the maximum value of y is 6.  

The function continues indefinitely to negative infinity.

Therefore, the range of the function is:

According to Double identities

Given

The graph,

To find:

The equation representing the given graph.

Explanation:

It is given that,

That implies,

From the given graph,

It is clear that the curve passes through, (0,5).

Then, for x=0,

Consider the equation,

Which is equal to y=5.

Hence, the equation representing the above graph is,

To start we will do what you said, multiply the 6, so:

6*(n-4)=3n

6n-6*4=3n

6n-24=3n

6n=3n+24

6n-3n=24

3n=24

n=24/3

n=8

So the answer is: 8

a) We have a right triangle.

We have to find the value of x, which is the hypotenuse.

We can relate the angle B, the side AC and x with a trigonometric ratio as:

b) In this case, x is the adyacent side to angle A.

We can relate the sides and the angle as:

Answer:

a) x = 12.9

b) x = 2.0

We can answer this question, using proportions. We can see it graphically as follows:

Then, we have that 5 slices will have 575 calories.

Calculating the value of 2 over 5 in percentage, we have:

So the correct option is E.

We want to divide 4x³ + 2x - 3 by x - 3 with the long division method

First, we rewrite the polynomial as:

4x³ + 0x² + 2x - 3

Them we divide the first term of the dividend by the highest term of the divisor:

4x²

x - 3 |4x³ + 0x² + 2x - 3

Then we multiply the divisor by this result:

| 4x²

x - 3 |4x³ + 0x² + 2x - 3

4x³ - 12x²

Now we subtract this result from the dividend:

| 4x²

x - 3 |4x³ + 0x² + 2x - 3

4x³ - 12x²

|12x² + 2x - 3

Now we can repeat all the previous steps using the last result as dividend:

| 4x² + 12x

x - 3 | 12x² + 2x - 3

12x² - 36x

|38x - 3

And we repeat these steps once more:

4x² + 12x + 38

x - 3 | 38x - 3

34x - 102

|99

The final term is the remainder

Then, we have:

4x³ + 2x - 3 = (x - 3)*(4x² + 12x + 34) + 99

-3(1+6r) = 14 -r

-3-18r = 14 - r

-3-14 = -r +18r

-17 = 17r

17r/17 = -17/17

r = -1

we have the function

f(x)=2(x-6)(x-7)^2

REmember that the zeros of the function are the values of x when the value of the function is equal to zero

In this problem

the zeros of the function are

x=6 -------> multiplicity 1 (the graph crosses to x axis)

x=7 ----- multiplicity 2 (touch the x axis and turn around)

see the attached figure to better understand the problem

Let x represent the number of tacos that Sam ordered and ate.

Let y represent the number of burritos that Sam ordered and ate.

From the information given, If he ordered 4 items, it means that

x + y = 4

If tacos are 250 calories, it means that the number of calories in x tacos is 250 * x = 250x

If burritos are 330 calories, it means that the number of calories in y burritos is 330 * y = 330y

If he consumed a total of 1080 calories, it means that

250x + 330y = 1080

From the first equation, x = 4 - y

By substituting x = 4 - y into the second equation, we have

250(4 - y) + 330y = 1080

1000 - 250y + 330y = 1080

- 250y + 330y = 1080 - 1000

80y = 80

y = 80/80

y = 1

x = 4 - y = 4 - 1

x = 3

Thus, Sam ordered and ate 3 tacos and 1 burritos

ANSWER

L'(1, 2), M'(1, -2), N'(3, 2)

EXPLANATION

The rule for rotating a point (x, y) 90° clockwise is,

So, the vertices of triangle LMN will be mapped to,

Hence, the image has vertices L'(1, 2), M'(1, -2), N'(3, 2).

The procedure to construct the graph of the hyperbola is described as follows:

The equation of a vertical hyperbola with center (x*, y*) is given according to the equation presented as follows:

(y - y*)²/a² - (x - x*)²/b² = 1.

This means that the hyperbola opens up vertically, up and down.

The equation of the hyperbola in this problem is given as follows:

(y + 2)²/36 - (x + 5)²/64 = 1.

Thus the coordinates of the center are given as follows:

(-5, 2).

The numeric value of coefficient a is calculated as follows:

a² = 36 -> a = 6.

Meaning that the coordinates of the vertices of the hyperbola are given as follows:

The slopes of the asymptotes of the parabola are given according to the rule presented as follows:

±a/b.

The coefficient b is calculated as follows:

b² = 64 -> b = 8.

Hence:

Since the asymptotes pass through the center, the equation is:

y - 2 = ± 3/4(x + 5).

The graph is given by the image at the end of the answer.

More can be learned about the graph of a hyperbola at brainly.com/question/12050850

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Answer:

[tex](y - 9) = (-8/3)\, (x - 7)[/tex].

Step-by-step explanation:

If a line in a cartesian plane has slope [tex]m[/tex], and the point [tex](x_{0},\, y_{0})[/tex] is on this line, then the point-slope equation of this line will be [tex](y - y_{0}) = m\, (x - x_{0})[/tex].

The slope of a line measures the rate of change in [tex]y[/tex]-coordinates relative to the change in the [tex]x[/tex]-coordinates. If a line goes through two points [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex], the slope of that line will be:

[tex]\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}}\end{aligned}[/tex].

In this question, the two points on this line are [tex](7,\, 9)[/tex] and [tex](10,\, 1)[/tex], such that [tex]x_{0} = 7[/tex], [tex]y_{0} = 9[/tex], [tex]x_{1} = 10[/tex], and [tex]y_{1} = 1[/tex]. Substitute these values into the equation to find the slope of this line:

[tex]\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}} \\ &= \frac{1 - 9}{10 - 7} \\ &= \left(-\frac{8}{3}\right)\end{aligned}[/tex].

With the point [tex](7,\, 9)[/tex] as the specific point [tex](x_{0},\, y_{0})[/tex] (such that [tex]x_{0} = 7[/tex] and [tex]y_{0} = 1[/tex]) as well as a slope of [tex]m = (-8 / 3)[/tex], the point-slope equation of this line will be:

[tex]y - y_{0} = m\, (x - x_{0})[/tex].

[tex]\displaystyle y - 9 = \left(-\frac{8}{3}\right)\, (x - 7)[/tex].

This problem deals with the numbers expressed in a more general way: letters or variables

That belongs to Algebra

We know Maria collected R rocks. Let's put this in a separate line:

M = R

Where M is meant to be the number of rocks collected by Maria

Now we also know Javy collected twice as many rocks as Maria did. Thus, if J is that variable, we know that

J = 2R

Pablo collected 5 less rocks than Javy. This is expressed as

P = J - 5

or equivalently:

P = 2R - 5

since J = 2R, as we already stated

We are now required to calculate the sum of rocks collected by Pablo and Maria.

This is done by adding P + M:

P + M = (2R - 5) + (R)

We have used parentheses to indicate we are replacing variables for their equivalent expressions

Now, simplify the expression:

P + M = 2R - 5 + R

We collect the same letters by adding their coefficients:

P + M = 3R - 5

Answer: Pablo and Maria collected 3R - 5 rocks together

Answer:

-9,-3,3,27

Step-by-step explanation:

Just multiply x by 6 and subtract 3 to that

Answer:

x + 3 / 4

Explanation:

Answer: Mark up is 220%

Cost to store : $145

selling price = $319

let x = mark up

Using the below equation

The shape in question is a composite shape.

It comprises two(2) shapes which are a triangle and a semi-circle.

The area of the shape is the sum of the area of the triangle and that of the semi-circle

The area of the triangle is:

Thus,

Area of the Semi-circle is:

Hence, the area of the composite shape is:

To find f(2) you subtitute the value of x in the function by 2:

Sherry lost the round 3 by 25 points

Sherry's point in third round = -10

Darren's point in the third round = 15

To determine the number of points Sherry lost round 3 by, we will subtracct Sherry's point from Darren's point:

Sherry lost round 3 by 25 points

The cotangent is given by the cosine over the sine.

If the cotangent is positive and the sine is positive, that means the cosine is also positive.

Now, in order to find the value of cos(x), we can use the following property:

1) Considering the Revenue function in the standard form:

2) Since this is a quadratic function, we can write out the Vertex of this function:

3) So, we can answer this way: