If point P(2,-4) is reflected over the x-axis, determine coordinates of the image

Answer:

Step-by-step explanation:

You want to identify the graphs that go with each of these functions, along with a particular point on the curve.

The equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.

In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.

The line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.

The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).

Equation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).

The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'

Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).

Equation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).

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Answer:

They won 32

Step-by-step explanation:

16 is half of 32

32+16=48

Answer:

You cannot solve this problem with only one given equation

Step-by-step explanation:

You need at least 2 equations to solve for two variables.

Answer:

Step-by-step explanation:

speed = 50 km / hr.

distance = 20 km

time = distance / speed.

time = ( / 50) hr.

speed =  2 km/hrs

a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.

To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.

The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).

b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.

Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.

The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).

c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.

Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).

d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.

Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).

A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.

Examples include 30, hundred, -8, 6x, "5", 0.67, etc.

Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.

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If the graph is touching at x = 33 then after 33 days take for the bag to be empty.

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

Given the graph is a straight line it means it will be a linear function.

The function of the graph is decreasing linearly so at the time of

purchase the ounces of cat food were 56 ounces.

As days increase ounces of food decrease.

On day = 33 the ounces of food become 0(empty).

Hence "If the graph is touching at x = 33 then after 33 days take for the bag to be empty".

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The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

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The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles

We know that sides of a parallelogram are parallel and congruent, as opposite angle

According to question  that GA equals HK, as:

46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:

27 x 3a is the result of dividing both sides by 3:

we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:

HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:

After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).

HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2  732.4 By taking the square root of both sides, we obtain the following results:

∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK  27.0

Then, we can use the Law of Cosines to determine the angle G's measurement:

cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,

cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G)  0.465 Using the inverse cosine, we get the following:

G ≈ 63.5°

Hence, the worth of every variable in the parallelogram is:

a = 9 HK = 27.0 GK = 46 G = 63.5°

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Step-by-step explanation:

2x⁴ + x² − x + 7

= 2x⁴ + 1x² + -1x + 7

The coefficient of the x² term is 1.

Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12

Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

The types of study that we have hereare the

2. The question here would be

3. The answer that would be answered here would be

4. The question would be

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Answer:

6(x - 3)

Step-by-step explanation:

18(x−3)−6(x−3)2 =>

18x - 54 - 12 (x - 3 ) =>

18x - 54 - 12x + 36 =>

18x - 12x - 54 + 36 =>

6x - 18 or 6(x - 3)

both answers are good, althoguth this second one 6 (x - 3) should be the one that you are looking for

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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Answer:

$315

Explanation:

.04/12= 0.0033333...

.0033333...*15=0.05

.05+1(Because the number is supposed to be going up not down)=1.05

1.05*300=315

a. The probability that the sample proportion will be within ±0.03 of the population proportion is 0.6456.
b. The probability that the sample proportion will be within ±0.03 of the population proportion is 1.985.

What is population proportion?
The probability that a specific event will occur in the population is known as the population proportion. It is a parameter, and the sample proportion statistic is used to estimate it. The percentage of occurrences that occur in the sample is known as the sample proportion.

a. The probability that the sample proportion will be within ±0.03 of the population proportion is P(-0.03 < p‌ - P < 0.003).
We Know that z-score of sample proportion is given by:
z = (p‌ - P)/SE(p‌), where SE(p‌) represents standard error.
⇒SE(p‌) = √(0.3 * 0.7)/200
⇒SE(p‌) = √0.00105
⇒SE(p‌) = 0.0324

Now, using the z score, the probability P(-0.03 < p‌ - P < 0.003) is computed as follows:
P(-0.03 < p‌ - P < 0.003) = P(-0.03/SE(p‌) < p‌ - P/SE(p‌) < 0.003/SE(p‌))
= P(-0.03/0.0324 < Z < 0.003/0.0324)
= P(−0.925926 < Z < 0.925926)
= 2P(0 < Z < 0.925926)


P(0 < Z < 0.925926) = 0.3228   (Using standard table)
So,
2P(0 < Z < 0.925926) = 2*0.3228 = 0.6456
Hence, the probability that the sample proportion will be within ±0.03 the population proportion is 0.6456.


b. The probability that the sample proportion will be within ±0.03 of the population proportion is P(-0.08 < p‌ - P < 0.008).
Also, SE(p‌) = 0.0324
Now, using z score,
P(-0.08 < p‌ - P < 0.008) = P(-0.08/SE(p‌) < p‌ - P/SE(p‌) < 0.008/SE(p‌))
= P(-0.08/0.0324 < Z < 0.008/0.0324)
= P(−2.469135 < Z < 2.469135)
= 2P(0 < Z < 2.469135)

P(0 < Z < 2.469135) = 0.9925   (Using standard table)
So,
2P(0 < Z < 2.469135) = 2*0.9925 = 1.985

Hence, the probability that the sample proportion will be within ±0.03 of the population proportion is 1.985.

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Answer:

The scale factor is greater than 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Before: 545, 945, 970, 995 , 1015, 1030 , 1040 , 1124

Now:  905, 945, 970, 995 , 1015, 1030 , 1040 , 1124

a) Median stays same.

As number of data's is 8, median is the average of 4th and 5th term

Median = (995 + 1015)/2 = 2010/2  =

Median = 1005

When rent changes from $545 to $ 905, the 4th and 5th term remains same.

So, median stays same

b) Mean increases 45

Before: 545, 945, 970, 995 , 1015, 1030 , 1040 , 1124

Mean = Sum of rents ÷ 8

= (545 + 945+ 970+ 995 + 1015 +1030 + 1040 + 1124)/8

=7664/8

= 958

Now : 905, 945, 970, 995 , 1015, 1030 , 1040 , 1124

Mean = (905 + 945+ 970+ 995 + 1015 +1030 + 1040 + 1124)/8

         = 8024/8

         = 1003

Mean increases by 1003 - 958 = 45

a) There are 2 x 2 = 4 sample points in the sample space

b) Tree Diagram

O D.\nH\nHe\nT\nH\nT\n

Sample space: D. HH, HT, TH, TT

c) P(no tails) = P(HH)

= 1/4

d) P(exactly one tail) = P(HT, TH)

= 2/4

= 1/2

e) P(2 tails) = P(TT)

= 1/4

f) P(at least one tail) = P(HT, TH, TT)

= 3/4

In mathematics, tree diagrams are often used in probability and statistics to show all the possible outcomes of an event. In computer science, they are used to represent the hierarchical structure of files and directories in a file system

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The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,

Company A: y = 30x + 13

Company B: y = 28x + 15

The amount for x = 4 is given as,

Company A: y = 30 (4) + 13 = $133

Company B: y = 28 (4) + 15 = $127

The amount for x = 4 is given as,

Company A: y = 30 (7) + 13 = $223

Company B: y = 28 (7) + 15 = $211

Then the amount of money saved is given as,

⇒ $233 - $211

⇒ $22

The amount of money saved to clean 7 mattresses is $22.

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Answer:

The answer is D. Translate vertex A to Vertex D, and then rotate triangleABC around point A to align the sides and angles

Translating vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles will bring about a rigid transformation, the correct answer is D.

The transformations that preserves the Euclidean distance between points. This could be as a result of the any transformation.

Triangle ABC and DEF is shown,

Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.

To map ΔABC to ΔDEF , the  vertex A will be translated to vertex D, and then the triangle is rotated around point A.

This will maintain the distance between the points when vertex A to D.

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Answer:

Too lazy To type put here is an image

Answer:

The entire area of the community is represented by  

   49

   51

✔ 100

   151

squares.

The  

   49

✔ 51

   100

   151

squares that have houses on them represent the area of the community covered with houses.

Answer:

Step-by-step explanation:

The rate of change is dy/dx=-1025

Explanation:

Glue the two right triangles together to form one larger triangle.

The angle adjacent to the 60 degree angle is 180-60 = 120 degrees.

The angle adjacent to x is 180-x

The larger triangle has the interior angles of:

Those three angles add to 180 (which is true of any triangle)

35+120+180-x = 180

335-x = 180

-x = 180-335

-x = -155

x = 155

Or you can note that 35+120 = 155 which is the summation of the interior angles that aren't adjacent to exterior angle x (refer to the remote interior angle theorem, aka the exterior angle theorem).

A formula that describes the average revenue per person is:

average revenue per person = 1.4w

Average revenue per person is the ratio of the total revenue received to the number of people. It is calculated by dividing total revenue by the number of people.

We have:

Total revenue formula, M = 350w⁴

Total number of people formula, T = 250w³

Thus,

Average revenue per person = M/T

Average revenue per person = 350w⁴/250w³

Average revenue per person = 1.4w

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Answer:

113 (d)

Step-by-step explanation:

Since the room is square-shaped, you square root the area (12,769) to find the length of each wall. You will get the answer 113. To check this answer multiply 113 by 113 and make sure you get the correct area; it works, so you know the answer  is D.

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:

0.6

Step-by-step explanation:

add 0.1 to 0.5 giving you 0.6

the rest are 0.7, 0.8, 0.9,

hope this helps! <3