Find the number of solutions of the equation 2g2 + 4g + 10 = 0 by using the discriminant.

Answers

Answer 1

Answer:

Step-by-step explanation:

The discriminant of ax^2+bx+c=0 is b^2-4ac, in this case

4^2-4(2)10

16-80

-64

Since -64<0 there are two imaginary (or ‘complex’) solutions.

Note: if d=0, there is one real solution. if d>0, there are two real solutions.


Related Questions

Find the discriminant and determine the number of real roots for each equation. Show steps.

-3p^2 - 2p = 0

Answers

Answer:

discriminant:  4; number of real roots:  2

Step-by-step explanation:

The coefficients a, b and c of this quadratic are {-3, -2, 0}.

Thus, the discriminant b^2 - 4ac is (-2)^2 - 4(-3)(0), or 4.

Because the discriminant is positive, this quadratic has two real, unequal roots.

-3p^2 - 2p can be factored as follows:  -p(3p + 2).  If we set this expression equal to zero, we can find the roots:  {-2/3, 0}

Joe walked 12m East and stopped for lunch. After eating he continued walking for 12m East. What is his displacement?

Answers

Answer:

24meters

Step-by-step explanation:

Given data

Joe walked 12m East

We are told that Joe continued to walk for another 12m east

Therefore, Joes displacement is

=12+12

=24m

His displacement is 24meters

What is the probability of randomly picking a green tile from a bag containing all green tiles? *

Answers

Answer:

100%

Step-by-step explanation:

Picking a green tile from a bag with nothing with green tiles is 100%, because what else could you get

What is the range?? Plz help

Answers

Answer:

range = 9-1 or 8

Step-by-step explanation:

A sports store has 468 golf balls. They will be put into boxes that hold 18 balls each. What is the minimum number of boxes needed for all of the golf balls?

Answers

468/18 = 26

Therefore they need at least 26 boxes to hold all the golf balls.

Hope this helps :)

The minimum number of boxes needed for all of the golf balls is 26.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of golf balls = 468

Number of golf balls in one box = 18

The number of boxes.

= 468 ÷ 18

= 468/18

= 26


Thus,

The number of boxes needed is 26.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

1/3x+7=3(x+2/3) show your work

Answers

Answer:

15/8

Step-by-step explanation

Answer:

x= 15/8

Step-by-step explanation:

1. Remove the parentheses.

2. Multiply both sides.

3. Move the terms

4. Collect like terms, calculate

5. Divide both sides

A town has a population of 7,000 and grows at 15% every year.what will be the population after 12 years,to the nearest whole number

Answers

Answer:

About 20000 will be the answer.

Step-by-step explanation:

First, do 15% of 7000

then multiply the answer with 12.

then add the answer with 7000.

After your answer comes see the nearest whole number. Hence your answer came.

Try it. Hope it helps.

If ƒ(x ) = x 2 + 1 and g(x ) = 3x + 1, find 2 · ƒ(4).

A. 34
B. 18
C. 65

Answers

Answer: The answer would be (B) 18

Step-by-step explanation: Have a brilliant day of learning!

Devon has 3 gallons of water in a large container. He begins to fill up glasses that each hold 1/8 gallon of water. How many glasses can he fill up until the water runs out?
A. 1 1/2
B. 4
C.1 2
D. 24
I need this awnser soon Please help!!!!

Answers

Answer:

its a

Step-by-step explanation:

Answer:24

Step-by-step explanation:3 divided by 1/8 is just 3 multiplied by 8

3/8 x 2/6 will mark brainliest

Answers

Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

[tex] \frac{3}{8} \times \frac{2}{6} \\ \frac{1}{8} [/tex]

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

solve:

[tex]\frac{3}{8}[/tex] × [tex]\frac{2}{6}[/tex] = [tex]\frac{6}{48}[/tex]

simplify:

[tex]\frac{6}{48}[/tex] = [tex]\frac{1}{8}[/tex]


Explain what it means to have a negative change,
.

Answers

Answer:

This means that the rate of change of your position is negative and you have a negative velocity. A negative velocity does not mean that you are slowing down

Step-by-step explanation:

The meaning to have a negative change is, it is decreasing over time.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

We have to explain the meaning to have a negative change.

Hence, We get;

A positive rate of change means that the quantity you are measuring is increasing over time, and a negative rate of change means that it is decreasing over time.

Thus, The meaning to have a negative change is, it is decreasing over time.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Sloths may seem lazy, but their extremely slow movement helps to make them almost invisible to predators. Sloths sleep an average of 16.5 hours a day. What percent of a 24 hour day do they sleep?

Answers

Answer:

3.96% I think

Sounds like sloths are living the life lol

Step-by-step explanation:

Can someone help me with this please

Answers

Answer:

Step-by-step explanation:

9) In parallelogram, adjacent angles are supplementary

14x - 4 + 86 = 180

           14x  = 180 - 86 + 4

           14x = 98

               x = 98/14

              x = 7

10) In parallelogram, opposite angles are congruent.

6x + 4 = 64

      6x = 64 - 4

     6x = 60

      x = 60/6

    x = 10

11) In parallelogram, opposite sides are congruent.

3x + 4 = 2x + 10

 3x -2x + 4 = 10

           x + 4 = 10

                   x = 10-4

                  x = 6

30 POINTS!! Will give brainliest!

What is the area of the shape below?

Answers

Answer:

24 es la respuesta correct

Step-by-step explanation:

Answer:

18cm

Step-by-step explanation:

add both bases (4+8) and then divide by 2

12/2=6

the multiply by 3

6x3=18

prolly a bad explaination but hope it helps <3

81×121
[tex]81 \frac{1}{?2} \times 121 \frac{1}{?2} [/tex]

Answers

Answer:

9801

Step-by-step explanation:

The computation is shown below

Given that

81×121

Based on the above equation we simply solve this equation by multiplying them i.e.

= 81×121

= 9801

Hence, the answer is 9801

What is 11.3 - 9.5 ?

Answers

Answer:

1.8

Step-by-step explanation:

11.3 - 9.5 = 1.8

Hope that helps!

Please help!!!!!!!!!!!

Answers

Answer:

The second answer from the top

Step-by-step explanation:

can somebody please help

Answers

Answer:

Every equation has a solution.

Hope that helps!?

Step-by-step explanation:

What is the radius and diameter of the following circle?

Answers

Answer:1

Step-by-step explanation: 1+1=3

Explain the steps you could use to solve 3y + 6 = 30 to find y

Answers

Answer:

3y+6-6=30-6 (subtract 6 from both sides)

3y=24 (simplfy by subtracting those numbers)

3y/3 = 24/3 (divide both sides of the equation)

y=8 (simplfy by divding with those numbers)

Step-by-step explanation:

Hope this helps :)

Answer:

3y+6-6=30-6

Step-by-step explanation:

Add a term to the expression so that it becomes a perfect square trinomial.
y2 – 19y +

Answers

Answer:

y2-19y+361/4/(y-19/2)squared

I need Help!!!! Fast!!

Answers

Answer:

second one just se that cuse I think it is it a fuse fore me

Please help im desperate :)​

Answers

Answer:

c

Step-by-step explanation:

because it is going in a round shape

what is a slope of a line between the x-axis and y-axis​

Answers

Answer:

Mercedes, look at the graph i'm attaching... do you see ? what's the slope?

Step-by-step explanation:

Evaluate: 4 + 13 - 2^2

Answers

Answer: 13

Step-by-step explanation:

According to pemdas (parenthesis, exponents, multiplication and divisions (from left to right)x aditioncand subtraction (left to right)

So first you would do 2^2 which 4

So now the equation would be 4+13-4

Positive 4 and negative 4 cancel out

The answer is 12

whats the y-intercept of the graph

Answers

Answer:

8

Step-by-step explanation:

it should be because its the only one touching the y-axis

Answer:

(0, 0)

Step-by-step explanation:

The y-intercept is the point where the line crosses the y axis. From looking at the graph, that point seems to be at (0, 0).

geometry solve for x

Answers

Answer:

x = 74 degrees

Step-by-step explanation:

If we assume that this triangle is isosceles, then the sum of the two angles at the bottom is (180 - 32) degrees, or 148 degrees.  The angle x is half that, i. e., x = 74 degrees


Al and Tom are painting a shed. Working alone, Al can paint the shed in 2 hrs. Together they can paint the shed in 1.5 hours. How long would it take Tom to paint the shed on his own?

Answers

Answer:

6 hours.

Step-by-step explanation:

The formula sort of has to be invented.

Al

rate = 1 shed / 2 hours

Tom

rate = 1 shed / x hours.

Together.

rate = 1 shed / 1.5 hours.

Equation

1 shed / 2 hours + 1 shed / x hours = 1 shed / 1.5 hours.

1/2 + 1/x = 1/1.5          Put the fractions over a common denominator.

(x + 2) / 2x = 1 / 1.5   Cross Multiply

1.5(x + 2) = 2x           Remove the Brackets.

1.5x + 3 = 2x             Subtract 1.5x from both sides

3 = 2x - 1.5x

3 = 0.5x                    Multiply both sides by 2

6 = x

It would take Al 6 hours to do the shed on his own.


1. A circle has a radius of 3 cm. What is
its:
a. Diameter?
b. Area?
c. Circumference?

Answers

Answer:

a. 6 (3 x 2)

b. 28.26 (3.14 x 3^2)

c. 9.42 (3.14 x 3)

Hope this helped!!

The unit price for 36 ounces of apple juice for ​$7.56 is per ounce. What's the unit price.

Answers

Answer:

The unit price is $272.19.

Step-by-step explanation:

7.56 x 26 = 272.16

Other Questions
Which enzyme functions to prevent supercoiling of the DNA molecule during replication?A)HelicaseB)TopoisomeraseC)RNA polymeraseD)DNA polymerase Use the drop-down menus to answer the questions.Which type of conflict is Mitchell having in thispassage?Is this a major or minor conflict in the overall novel? what number is 1/4 of 100 4 slices of pizza cost $10.50. At this rate, what is the cost of 10 slices of pizza? Why was the fall constantinople considered the end of the European Middle ages? What is the central dogma, essential truth, of biology? How do the Congress and President compete for power? What types of crust are colliding between the North American Plate and the Pacific Plate?Answer Choices: Continental Crust/Continental CrustOceanic Crust/Oceanic CrustOceanic Crust/Continental CrustAnother one of these that my daughter is asking and I don't know the answer. Please help! Pls help extra points and mark brainlist A child balancing while standing on a chair is demonstrating which type of energy? A. Potential energy,B. Nuclear energy,C. Electrostatic energy, help someone i need this Drag number to the blanks to write a quadratic function, f(x), that has zeros at x = 2 and x = 6. f (x) = x2 + ___ x + ___ Help me with this!! Will mark Brainliest Why do you think someone would bully another person? write an email about your new computer : When did you get it? How much did it cost? What's the best thing about it? In 4-6 sentences compare Direct Current (DC) to Alternating Current (AC) Plzzzz help its due today Was the dropping of the atomic bombs justified during ww2? Question 4 (1 point)How far does a sound wave travel in 3 seconds if the air temperature is 30 degreesCelsius?a) 114.33 mb) 1047 mc) 1029 md) 116.33 m Describe one of the people you read about. What was their name? What problem did this person address? What solution did they propose? What do you think of their solution to the problem