Without solving determine the number of real solutions for each quadratic equation
b^2-4b+3=0
2n^2 + 7 = -4n + 5
x - 3x^2 = 5+ 2x - x^2

Answers

Answer 1

Answer:

Complete the square to determine the number of solutions

#1

b² -4b + 3 = 0b² - 4b + 4 = 1(b - 2)² = 1Two solutions

#2

2n² + 7 = -4n + 52n² + 4n + 2 = 0n² + 2n + 1 = 0(n + 1)² = 0One solution

#3

x - 3x² = 5 + 2x - x²3x² - x² + 2x - x + 5 = 02x² + x + 5 = 0x² + x² + 2*1/2x + 1/4 + 4 3/4 = 0x² + (x + 1/2)² + 4 3/4 = 0No solutions
Answer 2

Answer:

b^2-4b+3=0

b²-3x-b+3=0

b(b-3)-1(b-3)=0

(b-3)(b-1)=0

either

b=3 or b=1

.

2n^2 + 7 = -4n + 5

2n²+4n+7-5=0

2n²+4n+2=0

2(n²+2n+1)=0

(n+1)²=0/2

:.n=-1

.

x - 3x^2 = 5+ 2x - x^2

0=5+ 2x - x^2-x +3x^2

0=5+x+2x²

2x²+x+5=0

comparing above equation with ax²+bx +c we get

a=2

b=1

c=5

x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1

={-1±√-39}/2


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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

74 + 6x + 8 = 180

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Answers

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Step-by-step explanation:

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Answers

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Answers

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A local artist, Sally, had a total of $2,610 at the end of the State Art Fair. She sold each of her paintings for $45. How many paintings did she sell?

Answers

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Answers

Answer:

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.............

Answer:

b = 6

Step-by-step explanation:

16 + 5b = 7b + 4     <-- Subtract 5b from the left

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12 = 2b     <-- Divide by 2

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enter the length of PQ to the nearest tenth.​

Answers

Answer:

[tex]\displaystyle PQ \approx 5.2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = 55°

Adjacent Leg = PQ

Hypotenuse = 9

Step 2: Solve

Substitute in variables [cosine]:                                                                     [tex]\displaystyle cos55^\circ = \frac{PQ}{9}[/tex][Multiplication Property of Equality] Isolate PQ:                                           [tex]\displaystyle 9cos55^\circ = PQ[/tex]Evaluate:                                                                                                           [tex]\displaystyle 5.16219 = PQ[/tex]Rewrite:                                                                                                            [tex]\displaystyle PQ = 5.16219[/tex]Round:                                                                                                              [tex]\displaystyle PQ \approx 5.2[/tex]

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Answers

i would say answer A but i'm not sure if it's right

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Find the lowest number divisible by both 6, 5, and 2.

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

hope it helps u

have a great day

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Answers

Answer:

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Step-by-step explanation:

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In 1998 there were 305 students who graduated from high school. In 2019, there were 356 students. What is the rate of change in the number of students?

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Answers

Answer:

3. about 2 students per year

Step-by-step explanation:

The rate of change would be the difference in the number of students divided by the number of years passed.

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Answer:

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Step-by-step explanation:

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x² -7x - 7x +49

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A balloon is floating above a lake and a sunken canoe is below the surface of the lake. The balloon’s vertical position is 12 meters and the canoe’s is -4.8 meters. The equation  represents this situation.

Answers

Complete question :

A balloon is floating above a lake and a sunken canoe is below the surface of the lake the balloons vertical position is 12 meters and the canoes is -4.8 meters the equation the equation 12+d= -4.8 represents the situation 1. What does the Variable d represent 2. What value of d make the equation true

Answer:

d = lake

d = - 16.8

Step-by-step explanation:

The scenario described is represented by the equation :

12 + d = - 4.8

The variable d in the equation would refer to the surface of the lake. Hence, the lake is represented as d ;

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The we solve for d in the equation given :

12 + d = - 4.8

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d = - 16.8

What is md enter your answer in the box

Answers

94 degrees

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find radian measure when r=2.5m and l=4.5cm

Answers

Answer:

Step-by-step explanation:

s = rθ, where r is the radius, θ is the radian measure of the central angle, and s is the arc length.

4.5 = 2.5θ

4.5 / 2.5 = θ

1.8 = θ

Please help due today

Find the slope of the line that passes through each pair of points (0,1),(2,5)

Answers

Answer:

2

Step-by-step explanation:

y2-y1 = 5-1 =4

x2-x1= 2-0 =2

4/2=2

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} \\ = \frac{5 - 1}{2 - 0} \\ = \frac{4}{2} \\ = 2[/tex]

#CMIIW

A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of road per hour. The function f(x) = 300x

Answers

Answer:

Step-by-step explanation:

i go to southwind what’s the answer ??

The crew would spend 3.33 hours to pave a road that is 1,000 ft².

A linear equation is in the form:

y = mx + b;

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Let f(x) represent the amount of space paved in x hours.

Given the function:

f(x) = 300x

Therefore to pave 1000 ft²:

1000 = 300x

x = 3.33 hours

The crew would spend 3.33 hours to pave a road that is 1,000 ft².

Find out more at: https://brainly.com/question/21105092

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