Which equations have no real solution but have two complex solutions?
A 3x>2-5=-8
b 2x>2=6x-5
c 12x=9x>2 +4
d -x>2 - 10x =34

Answers

Answer 1

Answer:

see details below

Step-by-step explanation:

First, assume >2 was meant to be &super;. or square.

then the given equations are:

A 3x^2-5=-8

b 2x^2=6x-5

c 12x=9x^2 +4

d -x^2 - 10x =34

In all cases, rearrange equation to identify parameters a, b and c, then calculate determinant using D=b^2-4ac.

A 3x^2x-5=-8

   3x^2-5x+8=0, a=3, b=-5, c=8

   D=b^2-4ac = (-5)^2-4*3*8 = 25 - 96  = -71  < 0   => 2 complex solutions

B 2x^2=6x-5

   2x^2-6x+5, a=2, b=-6, c=5

   D=b^2-4ac = (-6)^2-4*2*5 = 36 - 40 = -4  < 0   => 2 complex solutions

C 12x=9x^2 +4

   9x^2-12x+4, a = 9, b=-12, c=4

   D=b^2-4ac = (12)^2-4*9*4 = 144 - 144 = 0   => 2 real coincident solutions    

D -x^2 - 10x =34

   -x^2-10x-34, a = -1, b=-10, c=-34

    D=b^2-4ac = (-10)^2-4*(-1)*(-34) = 100 - 136 = -36   <0  => 2 complex  solutions    


Related Questions

Express tan W as a fraction in simplest terms.
U
W
24
6

Answers

Answer:

The simplest terms is, tan W=4.

Explanation:

Definition of trigonometry:

Trigonometry is a discipline of mathematics that deals with certain angle functions and how to use them in computations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).

Step by step:

Simplest term of tan W are calculated as:

We know that, [tex]tan[/tex]θ [tex]=\frac{opposite}{adjacent}[/tex]

According to the question:

[tex]tan W=\frac{VU}{VW} \\\\tan W=\frac{24}{6} \\\\tan W =4[/tex]

Hence,  The simplest form of tan W is 4.

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I need help y’all please

Answers

Answer:

12,214.51 meters cubed.

Step-by-step explanation:

PLEASE ANSWER QUICKLY

Answers

Answer:

10 %

Step-by-step explanation:

Probability that they like hip hop = number that like / total = 30/300 = 1/10 = 10%

A rec Eric Tangler prism as shown to have of 4 cm x 2 cm x 3 cm area

Answers

4 = Length
2 = Width
3 = Height

4x2x3=24 cm square

Which expression has the greatest value? root(4, 64 ^ 2); root(3, 8 ^ 4); 16 ^ (1/3); sqrt(16 ^ 2)

Answers

Answer: 16 3/2

Step-by-step explanation:

Because the division bass and I did it for the nether and the internet it is not the same as it does it not like the earth or the internet or anything bad

Answer:

Step-by-step explanation:

What they said

A drawer contains 4 red socks, 6 white socks, and 10 blue socks. Without looking, you
draw out a sock and then draw out a second sock without returning the first sock.
What is the probability that the first sock and the second sock are both white.

Answers

Answer:

[tex]\frac{3}{38}[/tex]

Step-by-step explanation:

[tex]\frac{6}{20}\cdot \frac{5}{19}=\frac{30}{380}=\boxed{\frac{3}{38}}[/tex]

Answer:

3/38

Step-by-step explanation:

So, you add the total numbers of socks and the total is 20. Since there is 6 white socks the first time you pick, your first fraction is 6/20 (3/10). So since you didn't put the first sock back, now the probability of picking another white sock is 5/19. So now multiply your fractions, and your answer should be 15/190 (Simplifyed 3/38)

This prism has a right triangle for a base. What is the volume of the prism?

Answers

length = 6 x 1/3 = 2 inches

width = 4 x 1/3 = 4/3 inches

height = 8 x 1/3 = 8/3 inches

 

volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches

 

Another approach is the following:

 

There are 6 x 4 x 8 = 192 cubes inside the prism,.

Each cube has a volume of 1/27 cubic inches.

 

Therefore total volume = 192 x 1/27 = 192/27 = 64/9

ASAP
-WILL MARK BRIANIST
thank you <3

Answers

Answer:

d

Step-by-step explanation:

D
12-x
12 less than x which than equals whatever number

pleasee fast help me pleaseeeeeeeeee

In a class, one third of the students like badminton, three-fourth of the students like football, 5 out of 6 of
the students like volleyball, 60 like football and volleyball, 65 like volleyball and badminton,
17 like badminton and football, 20% of the students like all three games and 8 students don't like any
game. Draw a Venn-diagram and find the total number of students in the class.

Answers

Answer:

The answer is below

Step-by-step explanation:

Let B represent those that like badminton, F represent those that like football and V represent those that like volleyball. Let x represent the total number of people.

n(B) = (1/3)x, n(F) = (3/4)x, n(V) = (5/6)x

n(B∩F∩V) = 20% of x = 0.2x

n(B∩F) = 17, hence n(B∩F∩V') = 17 - 0.2x

n(V∩F) = 60, hence n(B'∩F∩V) = 60 - 0.2x

n(B∩V) = 65, hence n(B∩F'∩V) = 65 - 0.2x

n(B∪F∪V)' = 8

n(B∩F'∩V') = (1/3)x - 0.2x - (17 - 0.2x) - (65 - 0.2x) = 0.533x - 82

n(B'∩F∩V') = (3/4)x - 0.2x - (17 - 0.2x) - (60 - 0.2x) = 0.95x - 77

n(B'∩F'∩V) = (5/6)x - 0.2x - (60 - 0.2x) - (65 - 0.2x) = 1.033x - 125

Therefore:

x = n(B∩F'∩V') + n(B'∩F∩V') + n(B'∩F'∩V) + n(B∩F∩V) + n(B∩F∩V') + n(B'∩F∩V) + n(B∩F'∩V) + n(B∪F∪V)'

x = (0.533x - 82) + (0.95x - 77) + (1.033x - 125) + (0.2x) + (17 - 0.2x) + (60 - 0.2x) + (65 - 0.2x) + 8

x = 2.1166x - 134

1.1166x = 134

x = 120

Therefore there was 120 students

what is the answer? please helppp

Answers

Answer:

1/4

Step-by-step explanation:

Probability is: (ways to get a desired result) / (total possible outcomes)

Choosing a yellow ball would be a desired result.

So, using the numbers that the question gives us,

(3 ways to get a yellow ball) / (12 golf balls total) =

3 / 12 =

1 /4

The answer is 1/4 chance.

Answer:

3/12 0r 1/4 <--- Simplified

Step-by-step explanation:

so there are 3 yellow which are in 12 gold balls so

it would be 3/12 or simplified 1/4

A baseball card that was valued at $200 in 1980 has increased in value by 7% each year. Write a function to model this situation, then find the value of the card in 2016

Answers

Answer:

$2284.6

Step-by-step explanation:

Given data

Principal= $200

Rate= 7%

Time= 1980-2016= 36 years

The expression for the exponential model is given as

A= P(b)^t

b=1+r-----------because will are dealing with increase

A= P(1+r)^t

A=200(1+0.07)^36

A= 200(1.07)^36

A= 200*11.423

A=$2284.6

The value of the card is $2284.6

which list of numbers is ordered from least to greatest help pls​

Answers

Answer: B

Step-by-step explanation:

If you change them all to decimals.

4.8% = .048

1/20 = .05

4.1 x [tex]10^{-1}[/tex] = .41

[tex]\sqrt{4}[/tex] = 2

So, that would be least to greatest.

Explain how making a table helps to compare two or more sets of data that have been presented in different ways.

Answers

Answer:

By easing the ranking and colerration of the data

Answer: a table is an organized way of displaying data

all data in a table has the same format

you can see how output of a data set changes by looking at a column

you can compare outputs of different functions that have the same input by looking at rows

Step-by-step explanation: edge 2022

Tom has some marbles in two bags. In one bag he has 3 yellow, 2 green and 1 red marble. In the other bag he has 3 yellow, 3 green and 3 red marbles. If Tom takes one marble out of each bag, how probable is it that neither one is yellow?

Answers

Answer:

1 /3

Step-by-step explanation:

Bag 1 :

Yellow = 3 ; green = 2 ; red = 1

Total = 6

P(not yellow) = (2 +1) / 6 = 3/6 = 1/2

Bag 2 :

Yellow = 3 ; green = 3 ; red = 3

Total = 9

P(not yellow) = (2 +3) / 9 = 6/9 = 2/3

P(neither yellow from the two bags) = 1/2 * 2/3 = 2 /6 = 1/3

simplify the question​

Answers

Answer:

[tex] \frac{2}{x - 3} - \frac{12}{ {x}^{2} - 9} \\ = \frac{2}{x - 3} - \frac{12}{(x - 3)(x + 3)} \\ = \frac{2(x + 3) - 12}{( {x}^{2} - 9)} \\ = \frac{2x - 6}{( {x}^{2} - 9)} \\ = \frac{2(x - 3)}{(x - 3)(x + 3)} \\ = \frac{2}{x + 3} [/tex]

Select the best name for this figure.
D
AC = BD
B
A. Rectangle
B. Rhombus
C. Square

Answers

Answer:

A

I hope this will help you.

Which pair of angles has congruent values for the sin x° and the cos y°?
35°; 55°
35°; 70°
35°; 145°
35°; 35°

Answers

Answer: the correct answer is A. 35, 55

Step-by-step explanation: got it right on my exam today

35 degrees and 55 degrees are the pairs of angle have congruent value for sinx and cosx.

What is congruent angle?

Congruent angles are the angles that have equal measures.

According to the given  question

We have different angles for [tex]sinx[/tex] and  [tex]cosy[/tex].

And we have to find "the pairs of angles which has congruent values for sinx and cosy.

Therefore,

35 degree and 55 degree

sin(35) = [tex]sin(\frac{7\pi }{36})[/tex] =0.57

cos(35) = [tex]cos(\frac{11\pi }{36})[/tex] = 0.57

⇒ 35 degrees and 55 degrees are the pair of angles has congruent values for sinx and cosy.

35 degrees and 70 degrees

sin(35) =[tex]sin(\frac{7\pi }{36} ) =0.57[/tex]

cos(70) =[tex]cos(\frac{7\pi }{18} )[/tex] = 0.34

⇒35 degrees and 70 degrees are the pair of angles have not congruent values for sinx and cosy.

35 degrees and 145 degrees.

sin(35)=[tex]sin(\frac{7\pi }{36} )= 0.57[/tex]

cos(145) = [tex]cos(\frac{29\pi }{36} )= -0.8[/tex]

⇒ 35 degrees and 145 degrees are the pair of angles have not congruent values for the sinx and cox.

35 degrees and 55 degrees

sin(35) =[tex]sin(\frac{7\pi }{36} )[/tex]= 0.57

cos(35) = [tex]\frac{x}{y} =\frac{7\pi }{36} = 0.8[/tex]

⇒ 35 degrees and 55 degrees are the pairs of angles have not congruent values for sinx and cosx.

Hence, 35 degrees and 55 degrees are the pairs of angle have congruent value for sinx and cosx.

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A sum of money is divided between A, B and C in the ratio 10:6:4. If B receives 515 more
than C , how much will A get and what is the total sum of money?

Answers

Answer:

Amount A get = 2,575

Total amount = 5,150

Step-by-step explanation:

Given:

Ratio between A,B and C = 10:6:4

Assume;

Common ration is 'a'

So,

Amount A get = 10a

Amount B get = 6a

Amount C get = 4a

So,

Amount B get - Amount C get = 515

6a - 4a = 515

2a = 515

a = 257.5

Total amount = 10a + 6a + 4a

Total amount = 20a

Total amount = 20(257.5)

Total amount = 5,150

Amount A get = 10a

Amount A get = 10(257.5)

Amount A get = 2,575

PLEASE HELP ME PLEASE

The cost (y), in dollars, to purchase x dozen doughnuts from Bakery A and Bakery B can be found using the equations shown in the table.
Bakery Cost (y)
А y = 9x
B y = 8x

Choose all of the statements that are true based on the equations given.
A. Bakery A charges about 8 cents more per doughnut than Bakery B.
B. The cost of 2 dozen doughnuts is 2 dollars more at Bakery A than Bakery B.
C. Bakery A charges $1.33 per doughnut and Bakery B charges $1.50 per doughnut.
D. Bakery A charges $0.75 per doughnut and Bakery B charges $0.67 per doughnut.

Answers

Answer:

T

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Please help me please and thank you

Answers

Answer:

f(x)= x^2 - 2, the one in red.

Step-by-step explanation:

To move a quadratic function up/down, you change the value at the very end of the formula.

So instead of f(x)= x^2 + 1, you would do f(x)= x^2 - 2, to move it down 3. This would be the one in red.

The Martz family pays a rate of 37.5 mills the property tax versus value of the home is 68,000 what is the property tax

Answers

If the property tax versus value of the home is 68,000 the property tax is $2,550.

Property tax

Using this formula

Property tax=Mills rate× Property value /1000

Where:

Mills rate=37.5

Property value=$68,000

Let plug in the formula

Property tax=37.5×68,000/1000

Property tax=$2,550,000/1000

Property tax=$2,550

Or

Convert the mills rates to dollar rate amounts by dividing the mill rate by 1,000 and then multiply it by the property value.

Property tax=37.5/1000×$68,000

Property tax=$2,550

Inconclusion the property tax is $2,550.

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how to represent -23/6 on number line​

Answers

Change the improper fraction to mix number
So -23/6 = -3 5/6
Make a number line with (on the left) -4, -3, -2 -1 , 0 , 1, 2, 3, 4
Then put a dot very close to -4 BUT not on -4

help me plzz sorry for asking this much ​

Answers

Answer: the answer is D. this took sometime but if you find another question like this solve it like this|

Step-by-step explanation: if you're already given the perimeter then that is the area so how to find the lengths if you're given the width is to multiply or divide! if you're using multiplication then use the width to divide so let's say you're area (perimeter) is 32! that means if you're given 4cm as the lengths then you have to use table knowledge  to find the width now if we know the 4x table then that means there is 8 x 4=32 so that means that the width is 8 thats an example!

Let d = cost, in dollars, of 1 hot beverage
3 hot chocolates + 2 lattes + 1 donut = 820.70
3d +20 +0.95 = 20.70

Answers

Answer:

Answer: HC, HT, CT

Step-by-step explanation:

2 !DIFFERENT! DRINKS so it can’t be HH, CC, TT

Step-by-step explanation:

.....

Question: Find the area of the orange shaded region in terms of pi.

Answers

Answer:

84π sq. units

Step-by-step explanation:

radius of little orange circles = 2

There is a total of 3 little orange circles (1 + 1 + 1/2 + 1/2).

Total area of 3 little orange circles = 3*π*2^2 = 12π

radius of 4 medium white circles = 3

Total of area of 4 medium white circles = 4*π*3^2 = 36π

radius of middle white circle = 6

Area of middle white circle = π*6^2 = 36π

Radius of the big circle = 12

Area of the big circle = π*12^2 = 144π

Area of orange = area of big circle - area of middle white circle - area of 4 medium white circles + area of 3 little orange circles = 144π - 36π - 36π + 12π = 84π

Can someone please help me

Answers

Answer:

if I am correct the answer should be 2

Find the volume of the rectangular pyramid.
6 ft
2 ft
7 ft
Figure not drawn to scale.

Answers

Answer:

28

Step-by-step explanation:

V = (1/3)Bh

V = (1/3)(7 ft)(2 ft)(6 ft)

V = 28 ft^3

A ladder is placed 10 feet away from a tree. The length of the ladder is 25 feet. Find the height of the tree?

STEP BY STEP PLS I WILL MARK BRAINLIEST PYTHAGORUS THEOREM

Answers

C^2= a^2 + b^2
C= 25^2 + 10^2
C= (25)(25)+ (10)(10)
= 625 + 100
= 725
square root of 725 is 26.9 ; you can round to the nearest tenth which will be 27 feet ! hope i helped(:

The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing exponentially?

Answers

Answer:

G(x) or at least in the question i hae seen but i do not see your table so just gonoff of what i say below becase it might be f(x)

Step-by-step explanation:

Exponetial funtions are when you have a power of, for example g(x)=1+6x^2

It increases at a rather fast pace because of the power of 2 in this equaion when if it did not have thepower of 2 it would increase at a slower pace

How many 1/4 - pound packages of cheese can the deli make with 12 - pound of cheese? Please help !!!

Answers

Answer:

48 packages

Step-by-step explanation:

recipicate 1/4 which is 4 the multiply by 12

Hope this helps!!!

Answer:

48

Step-by-step explanation:

1/4 = 0.25

12 / 0.25 = 48

You can make 48 packages.

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