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

How do i answer this? Please help

Answers

Answer:

which 1st page or 2nd page

If the sum of 37 and 12 x is 286, what is the value of x?

Answers

Answer:

x = 20.75

Step-by-step explanation:

37 + 12x = 286    <-- Subtract 37

12x = 249     <-- Divide by 12

x = 20.75

sorry it isn’t real text but it’s because i couldn’t explain it well.. but pls help when you can!!

Answers

Answer and Step-by-step explanation:

10 and 20 are the initial amounts, so they don't get a variable. The 3 dollars and 2 dollars every mile gets the variable since the occur every mile.

The equations are:

Blank 1: 3x + 10

Blank 2: 2x + 20

To find when they are equal, we equal the equations together.

3x + 10 = 2x + 20

x = 10

Plug 10 into either equation and solve.

Blank 3: 10 (At 10 miles, the equations are equal)

Blank 4: $40 (The will equal $40)

I hope this helps!

#teamtrees #PAW (Plant And Water)

Can you help me? (BRAINLIEST IF CORREECT! and please dont guess this is important :D)

The Invasion of the Lionfish


What was once just an attractive aquarium fish has recently become one of the biggest menaces in the Atlantic. The lionfish was accidentally introduced into the Atlantic Ocean in the 1990s. Because it has no natural predators, it has adapted quickly to its new home. The lionfish now threatens to destroy native fish populations in the Atlantic, Caribbean, and Gulf of Mexico.


The lionfish spreads quite rapidly. Lionfish spread faster than any other invading species. Experts have called the invasion in the Atlantic the worst marine invasion of all time. The lionfish's success comes from an ability to reproduce all year round. In addition, they are greedy eaters with a fondness for small fish and crustaceans. They will eat anything smaller than they are. Lionfish love the warm waters of the Gulf of Mexico. Since their first sighting, they have rapidly multiplied. In some locations, scientists estimate that lionfish populations exploded by 700 percent between 2004 and 2008 alone.


To combat the invasion, wildlife agencies have sponsored lionfish derbies. In these derbies, local scuba divers are invited to harvest lionfish. In addition, many states offer recipes for preparing and eating lionfish to encourage harvesting. Lionfish have to be handled carefully because of their venomous spines, but they are apparently delicious. Increasing the harvest of lionfish will help. However, scientists estimate that more than a quarter of the population would have to be taken every month to stop the growing population.


The lionfish has targeted our most fragile and important ecosystems. Scientists are working tirelessly to learn as much as they can about this predator. We may never be able to completely remove the threat, but many fishermen and seafood fans are hoping we can figure out how to control it.


Work Cited

Wilcox, Christie. "The Worst Marine Invasion Ever." Slate. July 1, 2013.

http://goo.gl/Vlxpe


Read this line from the text:


In addition, they are greedy eaters with a fondness for small fish and crustaceans.


What does greedy mean in this sentence?


A.They take more than they need.

B.They have little to fear from others.

C.They cannot be controlled.

D.They have a weight problem.

Answers

A. They take more than they need
I hope this is correct and that I’ve helped

Analyze this equation.
8x−5=−1
What is the value of x ?

A. -0.75
B. -0.5
C. 0.5
D. 0.75

Answers

Answer:

C) 0.5

Step-by-step explanation:

8x-5=-1

8x=-1+5

8x=4

x=4/8

simplify

x=1/2

Carter has a piece of rope that is of a meter long. He
ties knots in the rope to divide it into 3 equal sections.
Use the expression
to find the length of each
section.
Each section of rope is meter long.

Answers

Answer:

1 foot

Step-by-step explanation:

1 meter = 3 feet

3 feet divided by 3 = 1 foot

The length of each section of the rope is 1 foot.

What is an expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.Many authors make a distinction between an expression and a formula, with the former designating a mathematical object and the latter a claim about such objects.Solution -

The piece of rope is 1m long.

Carter divided the ropes into three equal parts by tying up the knot.

1 meter = 3 foot.

Therefore, divide 3 by 3.

[tex]\frac{3}{3} =1[/tex] foot.

Therefore, each section is 1 foot long.

Know more about expression here:

https://brainly.com/question/723406

#SPJ2

if m=2 , find the value of 5-m

Answers

Answer:

5 - 2 = 3

Step-by-step explanation:

Replace m with 2 since m=2

Answer:

3

Step-by-step explanation:

If m=2, then 5 - m(2) is 3, because 5 - 2 is 3.

Help please, and don't comment just to get the points :(

Answers

Answer:

60 degrees

Step-by-step explanation:

As the triangle is similar angle don't change so 50+70=120 and the angle of a triangle total to 180 so 180-120=60

Answer:

60°

Step-by-step explanation:

As it is said that the triangles are similar so In the similar triangles corresponding angles are equal so

< A = 50°

<E = 70°

< B = < E = 70° { being corresponding angles of similar triangles }

Now

< A + <B + < C = 180° {Being sum of angles of triangle }

50° + 70° + < C = 180°

< C = 180° - 120°

< C = 60°

Hope it will help :)❤

someone pls help i’m failing this class

Answers

Answer:

Step-by-step explanation:

so if the cubic length is now shorter you have to make the object bigger. So now the rectangle would have a length of 6 squares and a height of 10 squares

Answer:

3 by 3

Step-by-step explanation:

make it go 3 squares to the right and 3 squares upwards for a total or 9 squares.

In ΔPQR, the measure of ∠R=90°, PQ = 5.7 feet, and RP = 3.8 feet. Find the measure of ∠P to the nearest tenth of a degree.

Answers

Answer:48.1897 = 48.2

Step-by-step explanation: cos P= 3.8/5.7

P= cos-1 (3.8/5.7)

P=48.1897 = 48.2

Find the area of the figure and type your result in the empty box.
3 m
2 m
4 m

Answers

Answer:

14m^2

Step-by-step explanation:

area of triangle = 1/2bh

= 1/2(3)(4) = 6

area of rectangle = bw

=(4)(2) = 8

6+8 = 14

Answer:

14m²

Step-by-step explanation:

rectangle area= 4*2=8

triangle area= 1/2*3*4=6

total area=14

Could somebody please help me on this question!

Answers

Answer:

Step-by-step explanation:

nickel, n=0.05

dime, d=0.10

0.90=0.05n+0.10d

however, n+d=15

¿Cuál es el valor absoluto de 9?

Answers

Por lo que, el valor absoluto de -9 es 9. El valor absoluto de 9 es el número de unidades que está 9 del cero. Nueve está a nueve unidades de cero.

Jarry is making a strawberry smoothie which measure is greatest the amount of milk cottage cheese or strawberry

Answers

Answer:

Milk

Step-by-step explanation:

The amount of milk, cottage cheese and strawberries used are given in the attached picture.

3/4 cup of milk

2/6 cup cottage cheese

8/12 cup strawberry

Converting the fractions to decimal :

3/4 cup of milk = 0.75

2/6 cup cottage cheese = 0.3333

8/12 cup strawberry = 0.66666

0.75 > 0.6666 > 0.3333

We can conclude that amount of milk is greatest, then strawberry and the least is cottage cheese.

algebra 1, help please

Answers

Answer:

A

Step-by-step explanation:

slope of line ⊥ to the line 4x-2y=6 or 2y=4x-6 or y=2x-3 is -1/2

eq. of line through (6,-8) with slope -1/2 is

y+8=-1/2(x-6)=-1/2 x+3

or y=-1/2 x+3-8

or y=-1/2 x-5

Given the slope of the line containing the points (7 , b) and (-2 , 5) is 4/9, find the value of b​

Answers

Answer: b=9

Step-by-step explanation: To find the slope we use: y2-y1/x2-x1

Which would then be: 5-b/-2-7= 5-b/-9

Then we have to find a number for b that would give us -4 as the numerator. That number would be 9

This would give us 4/9 which is the slope we already had.

Solve each problem using proportions. Show work.
If 15 pencils cost 65 cents, about how much will
50 pencils cost?

Answers

you put 15 over 65 is equal to 50 over x, then you multiply diagonally so 15x = 3250 then you divide both sides by 15 to get 216.67 which means 50 pencils equals 2.17 dollars

A cable is 60 meters long.How long is it in decimeters

Answers

Answer:

600

Step-by-step explanation:

cus

Answer:

600 decimeters

Step-by-step explanation:

60 times 10

ill give brainliest if it's right

Find the common difference of the arithmetic sequence -11, -16, -21,...−11,−16,−21,...

Answers

Answer:

-5 is the common difference.

Step-by-step explanation:

Answer:

...... ignor this

Step-by-step explanation:

.. sjodnaknd sorry

Please help this is soo easy. I need it for my lil sis

Answers

Answer:

14

3/8 lb

1 1/4 lb

Step-by-step explanation:

Answer:

Packages of Meat altogether- 14

Total Weigh- 1 1/2

Factor completely x2 - 4x - 12

A. Prime
B. (x - 2)(x - 6)
C. (x + 2)(x - 5)
D. (x - 2)(x + 6)

can you explain how to do it? ​

Answers

Answer:

(x-6)(x+2) D

Step-by-step explanation:

first you need to see which two numbers add up to -4 and multiply to -12 which is -6 and 2

Can someone please help me ASAP

Answers

Answer:

Step-by-step explanation:

AB = 5

AC = 6

BC = √(5² + 6²) = √61 ≈ 7.8 units

Help Me please i need some help :)

Answers

A=45
Explanation:
A= a+b/2*h

Write 3-5 sentences about the process of the Difference of squares Factoring Method

Answers

To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)

Help, and can you show your work?

Answers

Step-by-step explanation:

answer A is correct

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

Answer:

c

Step-by-step explanation:

[tex]sin = \frac{opposite}{hypotenuse}[/tex]

it wants us to find sin a

the opposite of a is 24 and the hypotenuse is 26

so sin A = 24/26

[tex]cos = \frac{adjacent}{hypotenuse}[/tex]

it wants us to find cos a

the adjacent of a is 10 and the hypotenuse is 26

so cos A = 10/26

have a great day :D

Una garrafa de aceite equivale a 5 botellas y 3 garrafas es igual a 7, las cuales suman 11 litros, ¿Cuál es las capacidad de una botella y una garrafa?

Answers

Respuesta:

Botella, B = 0.5

Jarra, C = 2,5

Explicación paso a paso:

Dejar :

Garrafa = C

Botella = B

C = 5B - - - - 1)

3 garrafas más 7 botellas = 11 litros

3C + 7B = 11

C = 5B

3 (5B) + 7B = 11

15B + 7B = 11

22B = 11

B = 11/22

B = 1/2 = 0,5

Sustituyendo B = 0.5 en 1)

C = 5B

C = 5 (0,5)

C = 2,5

help me with this and ill give brainliest!

Answers

Answer:

16. 2/3, 4/6, 16,24

17. 3/7, 30/70, 300,700

18. 5/8 15/24, 10/16

Step-by-step explanation:

All you do is either multiply or divide quotient/denominator by the same number as denominator/quotient

what is the slope of the equation y=2/3x-4

Answers

Answer:

2/3

Step-by-step explanation:

y=mx+b

y=2/3x-4

m=slope

b=y intercept

What is 34 +(23 +3)-82

Answers

Answer:

-22

Step-by-step explanation:

26-82=-56

-56+34=-22

Answer:

-22

Step-by-step explanation:

34+(23+3)-82

=34+26-82

=34-56

=-22#

A rectangle is 60 cm long and 20 cm wide. Find, to the nearest tenth of a degree, the acute angle formed at the intersection of the diagonals.

Answers

Answer:

36.9°

Step-by-step explanation:

As shown in the diagram attached,

θ is the acute angle formed at the intersection of the diagonals of the rectangle.

From the diagram,

tan(θ/2) = 10/30

tan(θ/2) = 1/3

θ/2 = tan⁻¹(1/3)

θ/2 = 18.43

Therefore,

θ = 18.43×2

θ = 36.87

θ = 36.9°

Hence the acute angle formed is 36.9°

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