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HACTEHA [7]
3 years ago
15

Use the discriminant to describe the roots of each equation. Then select the best description,

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{+13}x\stackrel{\stackrel{c}{\downarrow }}{+6}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ \underline{positive}&\textit{two solutions}\qquad \textit{\Large \checkmark}\\ negative&\textit{no solution} \end{cases} \\\\\\ 13^2-4(6)(6)\implies 169-144\implies 25

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The price of a coat increased from $78 to $92. What is the price increase percentage?
svetlana [45]

Answer:

18%

Step-by-step explanation:

Percent change can be found using the following formula:

\frac{original-new}{original}*100

Original represents the initial cost where new represents the new cost.  We multiply the answer by 100 to get the percentage:

\frac{92-78}{78}*100 = 18%

6 0
3 years ago
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
How do you write 75% as a unreduced fraction
GarryVolchara [31]

Answer:75/100

Step-by-step explanation:

75%=75/100

8 0
3 years ago
Read 2 more answers
What's the area of a circle with diameter 18 units? Question 8 options: A) 9π units2 B) 81π units2 C) π units2 D) 18π units2
Anna [14]

Answer:

B) 81π units²

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Radius of a Circle Formula: r = d/2

  • r is radius
  • d is diameter

Area of a Circle Formula: A = πr²

Step-by-step explanation:

<u>Step 1: Define</u>

Diameter <em>d</em> = 18 units

<u>Step 2: Manipulate Variables</u>

Radius <em>r</em> = 18 units/2 = 9 units

<u>Step 3: Find Area</u>

  1. Substitute in <em>r</em> [Area of a Circle Formula]:                                                       A = π(9 units)²
  2. [Area] Evaluate exponents:                                                                              A = π(81 units²)
  3. [Area] Multiply:                                                                                                  A = 81π units²
6 0
2 years ago
Help I need to get this
Mariulka [41]

Which of the following is NOT discussed in this excerpt?

A.

One can follow certain steps to learn to improve the quality of one’s life.

B.

Men are too easily lured by monetary gain.

C.

Authors have not addressed how humankind should earn a living through their literature.

8 0
2 years ago
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