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


Related Questions

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?

1. About 1 student per year
2. about 51 students per year
3. about 2 students per year
4. about 5 students per year

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.

So, rate of change = [tex]\frac{356-305}{2019-1998}[/tex]

= [tex]\frac{51}{21} = 2.43[/tex]

So it's around 2 students per year.

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8 is added to a number

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Answer:

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Step-by-step explanation:

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

Sally sold a total of 58 paintings

Mark prepared 8 kilograms of dough after working 2 hours. How many hours did Mark work if he prepared 12 kilograms of dough? Solve using unit rates.

Answers

Answer: 2 and a half hours

Step-by-step explanation:

(I forgot to place the picture) A local taxi company charges a base fare of $3.20. The taxi company charges $0.40 for every minute the taxi is in service.

Answers

Answer:

5 minutes costs 5.20 10 minutes cost 7.20 $20 gets you 42 minutes

Step-by-step explanation:

for 5 and 10 multiply the number of minutes by the price per minute then add 3.2 base fee.  5*.4=2 +3.2=5.2      10*.4=4 +3.2=7.2

For $20 subtract the 3.2 base fee (16.8) and divide that by the .4 a minute fee to get 42 which would be 42 minutes.

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Answers

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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 ;

For the equation above to be true such that the position of canoe is - 4.8

The we solve for d in the equation given :

12 + d = - 4.8

12 + d - 12 = - 4.8 - 12

d = - 16.8

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;

where y, x are variable, m is the slope of the line and b is the y intercept.

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.

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Answers

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Step-by-step explanation:I used Photomath for graphing

Answer:

G

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

2

Step-by-step explanation:

y2-y1 = 5-1 =4

x2-x1= 2-0 =2

4/2=2

Step-by-step explanation:

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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

5x - 9y = -13
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Answers

Can you explain more? if your looking for the slope of both it is 5/9 for the fist one and 2/3 for the second. If your looking for y and x -intercept for the first one x intercepts at (-2,0) and y intercepts at (0, 4/3) and, for the second one x intercepts at ( -13/5, 0) and y intercepts at (0, 13/9)

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Answers

Answer:

x² + 18x +81

x² - 14x +49

4x²- 4x - 1

Step-by-step explanation:

multiply the x in the first parentheses by x and 9 in the other parentheses and

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(x+9)(x+9)

x² + 9x + 9x + 81

x² + 18x +81

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(x-7)(x-7)

x² -7x - 7x +49

x² - 14x +49

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multiply the 2x in the first parentheses by 2x and -1 in the other parentheses and multiply the -1 in the first parentheses by 2x and -1 in the other parentheses and add all together

(2x-1)(2x-1)

4x²-2x-2x+1

4x²- 4x - 1

Which statement describes the end behavior of this absolute value function? Y $ 6 2 2 O A. As x approaches negative infinity, (x) approaches negative infinity. B. As x approaches positive infinity, (x) approaches negative infinity. C. As x approaches positive infinity, fx approaches positive infinity. D. As x approaches negative infinity, Ax) is no longer continuous,​

Answers

Answer:

C. As x approaches positive infinity, f(x) approaches positive infinity

Step-by-step explanation:

The function f(x) reaches positive infinity in both cases, when x reaches either minimum or maximum value

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Answers

Answer:

30

Step-by-step explanation:

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

To start, let's list off the numbers divisible by six, and see if we can check any of them off for 5. Since both 2 and 6 are even numbers, we know that if a number is divisible by 6, it's divisible by 2.

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Answers

Answer:.

Step-by-step explanation:

Well if you look at the graph and first look at the

joe nuts

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Answers

Answer:

slope: -30x

rate of change: -30

Step-by-step explanation:

[tex] \frac{change \: in \: y}{change \: in \: x} [/tex]

[tex] \frac{ - 30}{1} [/tex]

slope = -30x

rate if change: -30

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Answers

Answer:

Step-by-step explanation:

slope =  

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Step-by-step explanation:

Find the sum
(7x^6 + 2x^5 – 3x^2 + 9x) + (5x*5 + 8x^3 – 6x² + 2x - 5) =

Answers

Answer:

i think

7x^6+7x^5+8x^3-9x^2+7x-5

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Answers

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Step-by-step explanation:

It's the only table with a constant, which is required in a proportional relationship. The constant would be 1300 which you can find by divided the two numbers in each row.

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Answers

Answer:

option C 9 unit².

Step-by-step explanation:

option C 9 units ²

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Answers

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A construction company wants to hire x carpenters for $220 a day and y plumbers for $260 a day. the company wants to hire at least 18 workers. it wants to pay no more than $4500 each day.
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Answers

Answer:6

Step-by-step explanation:

$220 × 6 = $1320 this is how much it cost to pay 6 carpenters for one day. Now lets find how much it cost to 12 plumbers at $260 a day. $260 × 12 = $3120 this is how much it costs to pay 12 plumbers a day.

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]

The sum of 2/3m and 1/5

Answers

13/15


Hope this helps

What is the value of x when angle 1 is74° and angle 2 is 6x + 8° ?

Answers

Answer:

74 + 6x + 8 = 180

6x + 82 = 180

6x = 180 - 82

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x = 98/6

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HELP IM SOO CONFUSED!
solve the following equation for the value of b. SHOW UR WORK!
16 + 5b = 7b + 4​

Answers

Answer:

16=2b+4

12=2b

b=6

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

Answer:

b = 6

Step-by-step explanation:

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

16 = 2b + 4     <-- Subtract 4 from the right

12 = 2b     <-- Divide by 2

b = 6

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