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Select all the correct equations.
Which equations have no real solution but have two complex solutions?
3x^2- 5x= -8
2x^2= 6x – 5
12x= 9x^2 + 4
-x^2– 10x = 34

Answers

Answer 1

[tex] {3x}^{2} - 5x = - 8 \\ {3x}^{2} - 5x + 8 = 0[/tex]

This equation has the next form:

[tex] {ax}^{2} + bx + c = 0[/tex]

To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:

[tex] {b}^{2} - 4ac \\ ( { - 5})^{2} - 4 \: . \: 3 \: . \: 8 = 25 - 96 = - 71 < 0[/tex]

Then, the first case has two complex solutions.

In the second case,

[tex] {2x}^{2} = 6x - 5 \\ {2x}^{2} - 6x + 5 = 0[/tex]

The discriminant in this case is:

[tex]( { - 6})^{2} - 4 \: . \: 2 \: . \: 5 = 36 - 40 = - 4 < 0[/tex]

Then, the second case has two complex solutions.

In the third case,

[tex]12x = {9x}^{2} + 4 \\ { - 9x}^{2} + 12x - 4 = 0[/tex]

The discriminant in this case is:

[tex] {12}^{2} - 4 \: . \: ( - 9) \: . \: ( - 4) = 144 - 144 = 0[/tex]

Then, the third case has two real solutions.

In the fourth case,

[tex] { - x}^{2} - 10x = 34 \\ { - x}^{2} - 10x - 34 = 0[/tex]

The discriminant in this case is:

[tex]( { - 10})^{2} - 4 \: . \: ( - 1) \: . \: ( - 34) = 100 - 136 = - 36 < 0[/tex]

Then, the fourth case has two complex solutions.


Related Questions

How do I solve for x?

Answers

Answer:

x = 4.8

Step-by-step explanation:

Since quadrilateral JKLM and PQRS are similar toe ach other, therefore the ratio of their corresponding sides are equal.

Thus:

QP/KJ = PS/JM

Substitute

8/5 = x/3

Cross multiply

5*x = 3*8

5x = 24

x = 24/5

x = 4.8

The bus travels 35 blocks in 7 minutes . If the bus travels at a constant speed , how long will it take to travel 50 blocks ?



HELPPP PLEASE NOOO LINKSSS PLEASE

Answers

Answer:

10 min

Step-by-step explanation:

35/7=5 blocks in 1 min

50/5=10

Can somebody help me please!!

Answers

Answer:

Its A

Step-by-step explanation:

Amie had $22 to spend on school supplies. After buying 8 pens, she had $10 left. How much did each pen cost?

Answers

22-8x = 10
-8x = -12
x = 1.5

Answer:

Each pen cost about $1.50

Step-by-step explanation:

My math is most likely wrong but I first did 22-10 and 12. Then I did 12 divided by 8 and got 1.50. Hope this helps :)

Find the sum of these polynomials.
(4x2 + 3x - 1) + (x2 - 5x - 6) =

Answers

Answer:      5x2-2x-7

Step-by-step explanation:

(4x2 + 3x - 1) + (x2 - 5x - 6)

=4x2+3x-1+x2-5x-6

=5x2-2x-7

If u had two basketball and he had two basketball how much balls would you have in all

Answers

Answer:4

Step-by-step explanation:

Answer:

There's 4 basketballs.

2 + 2 = 4

pls help!!
find the area of then triangle

Answers

Answer:

B, 11.7

Step-by-step explanation:

2.9x8.1/2 11.745, round to the nearest tenth, 11.7

PLEASE HELP I NEED THIS TO GET MY GRADE UP

Answers

Answer:

[tex]y = 4.5x[/tex]

Step-by-step explanation:

Given

The attached table

Required

The table equation

The table shows a linear relationship.

So, we calculate the slope (m) first

Using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) =(2,9)[/tex]

[tex](x_2,y_2) =(6,27)[/tex]

So, we have:

[tex]m = \frac{27 - 9}{6 - 2}[/tex]

[tex]m = \frac{18}{4}[/tex]

[tex]m = 4.5[/tex]

Next, the equation is calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 4.5(x - 2) + 9[/tex]

Open bracket

[tex]y = 4.5x - 9 + 9[/tex]

[tex]y = 4.5x[/tex]

Find the value of each trigonometric ratio. Simplify if possible.

Answers

Answer:

15/8

Step-by-step explanation:

opp/adj=30/16=15/8

I don't know how to do this. Any help?

Answers

Answer:

cos 37=x/b (second one)

sin 37= a/b (third one)

tan 37=a/x (sixth one)

Step-by-step explanation:

Cos is defined by the adjacent side over the hypotenuse. Cos 37 would be x/b. Clearly, that is option 2. Sin is defined by opposite over hypotenuse. Sin 37 would be a/b. That is the 3rd option. Tan is defined by opposite over adjacent. Tan 37 would be a/x or the 6th option.

Determine the missing length in each right triangle using the Pythagorean theorem. Round the answer to the nearest tenth, if necessary.

Answers

Answer:

answer is 9 yd

Step-by-step explanation:

The missing length in right triangle by using the Pythagorean theorem is,

⇒ 9 yards

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

We have to given that;

In a right triangle,

Hypotenuse = 15 yd

Perpendicular = 12 yd

Hence, By Pythagoras theorem;

Base² = 15² - 12²

Base² = 225 - 144

Base² = 81

Base = √81

Base = 9 yards

Thus, The missing length in right triangle by using the Pythagorean theorem is,

⇒ 9 yards

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ2

a market research company surveyed 1500 teenage cell phone owner's the company learned that 4/5 of them use cell phone data services how many teenagers surveyed use cell phone data services

Answers

I would say 1480 because 4/5 is 0.75 so just subtract that

Find the X and Y
Help ASAP please!!!

Answers

The answer is X=23 and y=9

Which phase is a description of the expression below 15-7n

Answers

Answer:

[see below]

Step-by-step explanation:

-7n is getting subtracted from 15.

7n is 'the product of 7 and n'

15-7n could be 'the difference of fifteen and the product of 7 and n'. The correct answer choice would be the one closest to this/

Hope this helps.

Karen paid $62 for pair of shoes. Three days later she noticed the shoes were on sale for $50. What was the percent of change

Answers

Answer:

24%

Step-by-step explanation: c:

Will give brainliest!!

Two lines, A and B, are represented by the following equations:

Line A: 4x + 4y = 16
Line B: x + y = 4

Which statement is true about the solution to the set of equations? (4 points)

Group of answer choices

A) It is (1, 2).

B) It is (1, 5).

C) There are infinitely many solutions.

D) There is no solution.

Answers

Answer:

Infitite solutions (C)

Step-by-step explanation:

They are the same line.

answer more great answer will get brainliest​

Answers

Answer:

how much he should run t make a homerun

anyone wanna help out? :’)

Answers

Answer:

325 dollars

Step-by-step explanation:

find 10% of 39000 3900 then divide it by 12 months which is 325 every month

Find the unit cost if 7 dozen carnations cost $10.15. Show work.

Answers

i need below help!!!

Suppose the diameter of a circle is 16 units what is the circumference?

Answers

Answer:

Step-by-step explanation:

Answer:

16[tex]\pi[/tex]

Step-by-step explanation:

16 = diameter

Circumference = Diameter * pi

Sometimes the teacher may want you to round pi to 3.14...

In that case do 16 * 3.14 = 50.24

Whats 10 Divided by 4 with a Remainder?

Answers

Answer:

Step-by-step explanation:

10/4= 2 r 2

Answer: it’s 2.5, with a remainder it’s 2 r2

Step-by-step explanation:

I REALLY NEED HELP with this statistics question, it would mean a lot if someone could answer it, i will give you brainliest for the correct answer :)

Answers

Answer:

i dont know what set a or b is...I would love to help you though...see below.

Step-by-step explanation:

Mean is best used for a data set with numbers that are close together.

The median is the midpoint value of a data set, where the values are arranged in ascending or descending order.

In addition, the standard deviation, like the mean, is normally only appropriate when the continuous data is not significantly skewed or has outliers.

You should use the mode if the data is qualitative (colour etc.) or if quantitative (numbers) with a clearly defined mode (or bi-modal). It is not much use if the distribution is fairly even.

This can be useful if you are measuring a variable that has either a critical low or high threshold (or both) that should not be crossed. The range will instantly inform you whether at least one value broke these critical thresholds. In addition, the range can be used to detect any errors when entering data.

Quantile classification is ideal for ordinal data. When you have a clear ordering of the variables, then this is one of the advantages of quantity classification. If you want to rank data into categories such as high, medium, and low, this is another opportunity to use quantile classification

What is the slope of the line represented by the equation y=4/5x-3

Answers

Answer:

4/5

Step-by-step explanation:

slope is 4/5

y = mx + b

m = slope

Start with x2 - 6x + 8 = 0 and complete the square, what is the equivalent equation?
es -))
A)
(x + 3)2 = 1
B)
(x+3)2 = 9
C)
(x - 3)2 = 1
D)
(x-3)=9

Answers

x is equivalent to 5.0

Help pls help I need help

Answers

Answer:

bro no one can see that

Step-by-step explanation:

Answer:

8ounces

Step-by-step explanation:

pounds* 16= ounces

therefore 1/2pounds *16=8ounces

Which expression is equivalent to 2(4 + x + 6y) + 3(5 + 3x + y)

Answers

Answer:11x + 15y + 23

Step-by-step explanation:

Test due in 2 hours! Will give good review and brainliest. :)

Answers

V=69.17m3
Use Conects

Answer:

circumference =9 volume = 972

Step-by-step explanation:

circumference of sphere =2 π r =18π ; r= 18π/2 π =9

Volume =4/3 *π r^3 =π* 4/3 *9*81 =4*3*81 π =12*81π = 972π Cubic inches

Volume of sphere is=972π

may i be marked brainliest?

What is the equation of the given line? Points (-5,2) and (2,-2)
x = –2
y = –2x
y = –2
x = 2

Answers

Answer:

y = - 2x

Step-by-step explanation:

As inflation increases, it causes the money you earn today to have _____. less value in the future more purchasing power in the future no purchasing power effect in the future more value in the future

Answers

Answer:

This answer is A

Step-by-step explanation:

your welcome, im fast to answer

Answer:

the answer is a

Step-by-step explanation:

Use ALL of the tools have, to find area and perimeter of this below:

Answers

9514 1404 393

Answer:

area 36 ft²perimeter 30 ft

Step-by-step explanation:

The area can be decomposed into a rectangle and a trapezoid.

The rectangle is 2' by 5', so has area ...

  A = LW

  A = (5 ft)(2 ft) = 10 ft²

The trapezoid has bases 8 ft and 5 ft, and height 4 ft, so its area is ...

  A = 1/2(b1 +b2)h

  A = 1/2(8 ft +5 ft)(4 ft) = 26 ft²

Then the total area of the figure is ...

  total area = 10 ft² +26 ft² = 36 ft²

__

The slant side of the trapezoid is the hypotenuse of a triangle with sides 3 and 4. The Pythagorean theorem tells us its length is ...

  c = √(a² +b²) = √(3² +4²) = √25 = 5

The perimeter of the figure is the sum of the side lengths. Working clockwise from the top, that sum is ...

  P = 5 + 4 + 2 + 2 + 5 + 2 + 5 + 5 = 30 . . . feet

The perimeter of the figure is 30 feet.

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