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Reptile [31]
1 year ago
10

Written as a simplified polynomial in standard form, what is the result when (3x+6)^2

Mathematics
1 answer:
Marat540 [252]1 year ago
3 0

The simplified polynomial after standard form will be;

⇒ - 8x² - 43x - 36

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is;

''The expression (3x + 6)² is subtracted from x² - 7x.''

Now,

We can formulate as;

⇒ (x² - 7x) - (3x + 6)²

⇒ x² - 7x - (9x² + 36x + 36)

⇒ x² - 7x - 9x² - 36x - 36

⇒ - 8x² - 43x - 36

Thus, The simplified polynomial after standard form will be;

⇒ - 8x² - 43x - 36

Learn more about the expression visit:

brainly.com/question/1859113

#SPJ1

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Find the domain and range of the function graphed below, in interval notation. Domain and range
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Answer:

(-5, 4]

Step-by-step explanation:

Range is the set of possible outputs for a function within the given domain. It is usually represented in terms of minimum and max values

In the graph, the minimum value is -5 (not including this value) and this occurs at x = 3;  the max value is 4 at x = 0

So range is -5 < x ≤ 4

which in interval notation is

(-5, 4]

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Hav sum freh poits <br> Love ur mom
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Answer:

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Step-by-step explanation:

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3 years ago
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What are the coordinates of the image of C if it is reflected across the x-axis?
Svetradugi [14.3K]

Answer:

(-2, 4)

Step-by-step explanation:

~When reflecting a point of the x-axis, the x value (or first number inside the parenthesis) does not change.

The reason the x-value does not change is because you are reflecting over the x-axis, making the point go up or down. That will change the y-value but the x-value only changes if you move to the left or the right. In this case, you can see that the point's x-value is -2, so that will not change. It's current y-value however is -4. When reflecting over an axis, the number that is changing (in this case the y-value) will just be flipped from positive to negative, or vise versa. In this case, -4 will be reflected to be 4, making point C reflected over the x-axis (-2, 4).

5 0
3 years ago
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The scale of the room design shows that 1" = 3 feet. How big is the actual room if the design shows a square that is 6 inches wi
adoni [48]

Answer:

arah is at a miniature exhibit. There is a model of a skyscraper. Underneath the model was a ratio. It said:

1 inch=30 feet.

If the model is 38 inches tall, how Sarah use this information to find the actual height of the skyscraper?

In this concept, you will learn how proportions are used to find actual and scale dimensions using a scale ratio.

Using Proportions to Find Dimensions

A scale is a ratio that shows the relationship between the representation of an object and the real measurement of an object. Toy makers use scale ratios to make models of cars and airplanes that are proportional to the real thing. Architects use scale drawings to plan the design of buildings.

A scale drawing is a drawing that is used to represent and object that is too large to be drawn in its actual dimensions. If a drawing is to scale, you can use proportions to determine the actual dimensions of the scale drawing.

Let’s look at a scale drawing of a sculpture. In the drawing, the sculpture is 4 inches tall. The scale is 1 inch : 4 feet. It scale can be written as

1 in4 ft

(Note: Inch is abbreviated “in.” or with the double prime mark, ″. Foot/feet is abbreviated “ft” or with the single prime mark, ′.)

A drawing with this scale tells you that 1 inch on paper is equal to 4 feet in real life. If the drawing is 4 inches tall, use the scale to find the actual height of the sculpture.

First, create a proportion using equivalent ratios. Remember to write the corresponding units in the numerator and in the denominator. The actual height of the sculpture is represented by the variable x.

1 in.4 ft.=4 in.x ft.

Then, cross multiply and simplify the equation to find the value of x.

xx==4(4)16

The sculpture will be 16 feet tall.

Let’s make a scale drawing. Use the scale 1′′=2′. Draw a room that is 8′×12′.

First, write a proportion to find the measurement of the width.

1′′2′=x′′8′

Next, cross multiply and simplify the equation to find the value of x.

2x2xx===1(8)84

The drawing will be 4

4 0
3 years ago
Y = x ^3 - 5x² +16x-80
Leokris [45]

Answer:

(x-5)(x^2+16)

3 0
3 years ago
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