A polygon is shown on the graph:

If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.

Three zeroes of a third-degree polynomial are given, with the graph passing through the point (3,6). To find the equation of this, first, let us set up how a 3rd-degree polynomial factored out should look like:  

y =  a(x+b)(x+c)(x+d).

Since the zeroes of the function are -3, -2, 1, the equation will look like y = a(x+3)(x+2)(x-1). To solve for a, plug-in x = 3 and y = 6 from the point (3,6). After replacing the variable a in the equation with the answer, you will have the solution for the problem.

Third-degree, with zeros of -3,-2, and 1, and passes through the point (3,9) then the polynomial p(x) is (3/20)(x-1)(x+2)(x+3)

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

-3 is a root... (x+3) is a factor

-2 is a root... (x+2) is a factor

1 is a root... (x-1) is a factor

p(x) = a(x-1)(x+2)(x+3)

(3, 9) is on graph so p(3)=9

9=a(3-1)(3+2)(3+3)

9=a(2)(5)(6)

9=60a

Divide both sides by 60

a=9/60

a=3/20

p(x) = (3/20)(x-1)(x+2)(x+3)

Hence,  third-degree, with zeros of -3,-2, and 1, and passes through the point (3,9) then the polynomial p(x) is (3/20)(x-1)(x+2)(x+3)

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Answer:x=6 y=34

x=8 y=44

x=9 y=49

x=10 y=54

Step-by-step explanation:

x        y

6       34         6*5+4=34

8       44         8*5+4=44

9       49         9*5+4=49

10      54        10*5+4=54

Answer:

9.23 ft

Step-by-step explanation:

Right triangle = cos 52 degrees = adjacent side/hypotenuse

Cos (52 degrees) = 0.615661

0.615661 = x/15

(0.615661)*(15) = x

x = 9.23 ft

The stratified random sample is better because this will lead to more accurate results.

Sampling is a method that implies randomly selecting participants, places, etc. as part of an experiment. There are two main methods for sampling:

The second method is the best to use because this will guarantee in each subarea there is the same number of salt licks. Preventing many salts licks to be together or a subarea to not having any salt licks.

Based on this, we can conclude this method will lead to more accurate results.

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Answer:

Stratified random sampling is the better method to use.

Step-by-step explanation:

Stratified random sampling would be a better method for choosing where to place the salt licks because it will guarantee that each subarea has the same amount of salt licks, and prevent many salt licks from being in the same area or some subareas from having no salt licks at all.

Answer:

The first blue option or 8x - 17 = 5x + 19

Step-by-step explanation:

    They are vertical angles, so they will be set equal to each other.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

last year = 530570

this year = 424456

decreased plants = 530570-424456 = 106114

decreased percent = 106114÷530570×100%

= 20%

therefore 20% is the decrease precent in the number of potted plants ordered anually

Answer:

20/40 = 1/2

Step-by-step explanation:

5/8 * 4/5

multiply the numerator with the numerator and denominator with the denominator

you get 20/40 or 1/2

Answer: 0.5 or 1/2

Step-by-step explanation:

Answer:

x = 72° , y = 54°

Step-by-step explanation:

x and 108° are adjacent angles on a straight line and sum to 180°

x + 108° = 180° ( subtract 108° from both sides )

x = 72°

The vertex of the triangle on the left is vertically opposite x and is congruent

vertex = 72°

The sum of the 3 angles in the triangle = 180° , that is

y + y + 72° = 180°

2y + 72° = 180° ( subtract 72° from both sides )

2y = 108° ( divide both sides by 2 )

y = 54°

Answer:

so the answer is y=54°

Step-by-step explanation:

that is my answer hope it helps

Answer:

∠ A = 59°, ∠ B = 48° , ∠ C = 73°

Step-by-step explanation:

The interior angles of a triangle sum to 180°

sum the 3 angles and equate to 180

x + x - 11 + 73 = 180

2x + 62 = 180 ( subtract 62 from both sides )

2x = 118 ( divide both sides by 2 )

x = 59

Then

∠ A = x = 59°

∠ B = x - 11 = 59 - 11 = 48°

∠ C = 73°

Answer:

<A = 149*

<B = 138*

<C = 73*

Step-by-step explanation:

There are 360* total inside a triangle.

We subtract 73 from 360 to find the combined number of both angles a and b.

360-73 equals 287, so we know that both angles a and b add up to equal 287.

Since angle a equals x and angle b equals x - 11, we would combine the two expressions to find x. When we find x, it will allow us to know what both angles a and b equals to. So we combine x and x- 11, set it equal to 287, and solve for x.

x + x - 11 = 2x-11.

287 = 2x - 11

(Add eleven to both sides)

298 = 2x (divide both sides by two)

X = 149

Since angle a equals x, we know that angle a Is 149*.

And since angle b is x - 11, we take 149, subtract it by 11, and we get 138.

Answer:

Make me as brain liest plz

The perimeter of triangle DEF is; 30 cm

We are given dimensions of Triangle ABC as;

Thus;

Perimeter of Triangle ABC = 9 + 6 + 7.5 = 22.5 cm

We are told that Triangle DEF is similar to Triangle ABC.

This means that the ratio of corresponding sides must be equal to the ratio of their perimeter.

Side EF corresponds to side BC. Thus;

Perimeter of Triangle DEF/22.5 = 8/6

Cross multiply to get;

Perimeter of Triangle DEF = (22.5 × 8)/6

Perimeter of Triangle DEF = 30 cm

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Answer:

which one is 29???

Step-by-step explanation:

Step-by-step explanation:

(x1,y1) = (-4,0)

(x2,y2) = (0,2)

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 0)/(2 - 0) = (x + 4)/(0 + 4)

y/2 = (x + 4)/4

4y = 2(x + 4)

2y = x + 4

y = x/2 + 2

Option → C

Answer:

it's the middle one

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

we have formula total /100* percentage of sand dollars

Answer:

B) Graph B

Step-by-step explanation:

The quadratic equation in vertex form is represented by: y = a(x - h)² + k, where:

(h, k) = vertex

x = h : axis of symmetry

a = indicates a reflection in the x-axis; it also determines the graph's vertical stretch or shrink.

h =  indicates a horizontal translation.

k =  indicates a vertical translation.

Given the given quadratic equation, y = (x - 2)² - 16:

The vertex occurs at point, (2, -16), and a = 1. Since the value of a is positive, then it implies that the graph opens upward, and the vertex is its minimum point.  The axis of symmetry occurs at h = 2.

To determine another point to use as a reference (and also for graphing) is solving for the equation's y-intercept, which is the point where it crosses the y-axis (where x = 0).

Y-intercept: set x = 0:

y = (x - 2)² - 16

y = (0 - 2)² - 16

y = (-2)² - 16

y = 4 - 16

y = -12

Therefore, the y-intercept is (0, -12).

Therefore, the graph that matches these given descriptions is Graph B.    

Attached is the graphed quadratic equation where it shows the vertex, y-intercept, and the axis of symmetry.

Answer:

Domain is 5

Step-by-step explanation:

f * g divided by its powers times its x

Answer:

Yes

Step-by-step explanation:

95 multiplied by 2 is 190

130 multiplied by 2 is 260

190+260 is 450

Answer:

95 x 2=190

130 x 2= 260

260+190= 450

he can and will still have some change

800-450=350

Step-by-step explanation:

hope this helps if not then sorry good luck and bye

Answer:

Cleo is: 25 years old

Range of their ages: 7 years

Step-by-step explanation:

Supposing that they are all around roughly the same age, say, Ahmed was 18 and Beth was 20. The mean/average, is taking both ages, and dividing it by how many people there were. Which was just two. So, 18+20=38. 38/2 gets you 19. To get Cleo's age, we would do,

18+20+ Cleo's age. to get a number, divide it by 3, and get 21. Saying that the mean/average is 21, he would definetly be older. So plug in ages. 24+20+18=62. 62/3 gets you 20.67. 25+20+18=63. 63/3 gets you 21. Therefore, he must be 25.

The range is calculated by subtracting the largest number, by the smallest number. And, given that the median, or, middle is 20, we can know that the previous answer is correct. 25-18 to get 7 as the range.

Answer:

4 * 1.25 =  5

Step-by-step explanation:

4 boxes of pasta (4) at 1.25 (1.25) 'each' (*)

1. a=-1

3. x=2

5. r=1

7. v=no solution cause 10 cannot equal 0

9. m=2

Answer:

5.68*10⁵

Step-by-step explanation:

you can factor 10⁴ at the beginning too but I found it easier to explain what happens this way

Answer:

y=0

Step-by-step explanation:

Answer:

1:7

Step-by-step explanation:

12kg : 84kg

12 : 84

1:7

Answer:

A

Step-by-step explanation:

We can calculate the equation of the lines based on two points. First line m:

y = ax +b

where a is the slope and b is the y-intercept. To find the slope we use the x and y of the points as:

a = [tex]a = \frac{y_1-y_2}{x_1-x_2} = \frac{4- -32}{2- -4} = \frac{36}{6} = 6.[/tex]

So:

y = 6x + b

we can find the y intercept by substituting the x and y for one of the points:

solving for b:

b=-32-(6)(-4)= -8.

So the equation is:

y = 6x - 8.

We can change it to:

y + 8 = 6x

8 = 6x - y.

So it’s (A).

Hope that helps!

Answer:

B I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.04

.86

.92

Answer:

3x^4

____

2y^4

Step-by-step explanation:

Answer:

21x^6y^5

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

14x^2y^9

=

21x^6y^5

-----------

14x^2y^9

=

21x^4

--------

14y^4

=

3x^4

-------

2y^4

Step-by-step explanation:

Answer:

is there a picture

Step-by-step explanation:

Answer:

B. (x-3)^2

Step-by-step explanation:

x^2-6x+9 = (x-3)^2

(a-b)^2=a^2-2ab+b^2

(a+b)^2=a^2+2ab+b ^2

Answer:

subtract 1600 by 1250 which is 350 then divide 350 by 1600 to get 0.218 simplify it to 0.22 and turn it into decimal form which is 22%

LAnswer:

Step-by-step explanation:

359/1600 = 21.88 % = 22%