Mathematics High School

Use the discriminant to determine the nature of the roots of the following equation.
x2 + 2x + 5 = 0
imaginary root
Double root
real and rational root
real and irrational root

Use The Discriminant To Determine The Nature Of The Roots Of The Following Equation.x2 + 2x + 5 = 0imaginary

Answers

Answer 1

Answer:

Step-by-step explanation:

disc.=b²-4ac=2²-4×1×5=4-20=-16<0

it has imaginary roots.

Related Questions

What is the x-coordinate of point B? Write a decimal coordinate.

Answers

Answer:

-1.5

Step-by-step explanation:

Hope this helps! :D

Still dont know... fff

Write an equation that is perpendicular to the line y = 5x - 1 and passes through the point (10, 8)

Answers

Answer:

y = -1/5 x + 10

Step-by-step explanation:

The equation of a line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the equation y = 5x -1

Slope m = 5

Slope of the line perpendicular to the line will bw M = -1/5

Substitute into the equation

y - 8 = -1/5(x-10)

5(y-8) = -(x-10)

5y - 40 = -x+10

5y = -x+10+40

5y = -x+50

y = -1/5 x + 10

Hence the required equation is y = -1/5 x + 10

Suppose a designer has a palette of 14 colors to work with, and wants to design a flag with 4 vertical stripes, all of different colors.
How many possible flags can be created?

Answers

Answer:

182

The number of permutations of 14 things taken 2 at a time is ...

 14P2 = 14·13 = 182

The first color can be any of the 14 on the palette. The second color must be different, so can be any of the remaining 13.

___

We assume that a "yellow/red" flag is different from a "red/yellow" flag. That is, order matters.

4.7x4.7x4.7 thats about it

Answers

Answer:

103.823

Step-by-step explanation:

It's just 4.7 to the third power, so I multiplied to get 103.823. :)

margarite owns a boutique. she sells her jewelry at a 30% markup. if she buys a bracelet for $22, what would she sell it for after the markup?​

Answers

She would sell it for $26.60 after the markup.

A group of friends wants to go to the amusement park. They have no more than $275 to spend on parking and admission. Parking is $5, and tickets cost $27 per person, including tax. Write and solve an inequality which can be used to determine r, the number of people who can go to the amusement park.

Answers

Answer:

275=27x+5

Step-by-step explanation:

10 people can go to the park

27(10)+5=275

help me on this.. which one?

Answers

its the first option thing

Answer:

1/x17

Step-by-step explanation:

the first one on the left

Use an area model to solve.

Answers

Answer:

1 25/27

Step-by-step explanation:

1 1/3 x 1 4/9 =?

convert to total fractions:

4/3 x 13/9 = ?

multiply

52/27 = ?

reduce

1 25/27

If / is a midsegment of , find TS. A. 5 B. 7 C. 10 D. 14 Please select the best answer from the choices provided A B C D

Answers

Answer:

The answer is b.7

Step-by-step explanation:

Because i had the question and got it right

It took 8 hours to drive 240 miles. At this rate, how long does it take to drive 90 miles?

Answers

Answer:

It will take 3 hours to drive 90miles.

Step-by-step explanation:

240miles/8hours=30miles/1 hr. 90miles/3hours

Can someone write logb(xy) as two logs (49 points)

Answers

Answer:

log b (xy) = log b (x) + log b (y)

Step-by-step explanation:

Log of the product is equal to the sum of the logs

log b (xy) = log b (x) + log b (y)

I have no words... thank y’all so much!!❤️❤️✨✨

Answers

Answer:

The first one.

Step-by-step explanation:

0 is greater than -18

help. find the equation shown. negative

Answers

Answer:

i think (0,2)

Step-by-step explanation:

PLEASE ANSWER!! I WILL GIVE BRAINLIEST IF YOU TELL ME THE CORRECT ANSWER AND HOW TO SHOW MY WORK FOR IT!! (MUST SHOW WORK TO GET BRAINLIEST)

Answers

Answer:

For the first question, the answer is 32 oz.

For the second question, the answer is 16 oz.

Step-by-step explanation:

For the first one, since there are 16 ounces in a pound, we can assume that since she has 3 pounds of fudge, she would have 48 ounces. She then eats one pound of fudge, which means we subtract 16 from 48 getting us to 32 ounces.

For the second question, it states that she gives one half of her fudge to her sister. 2 times 1/2 is 1, and since there are 16 ounces in a pound, she therefore gave 16 ounces of fudge to her sister.

Answer:

1. 32 ounces

2. 16 ounces

Step-by-step explanation:

Question 1

First, you have to subtract. The equation for the subtraction is 3-1 because the student took 1 pound of fudge away from the 3 pounds she already has. And 3-1 equals 2. Now, you have to convert 2 pounds to ounces. Lastly, multiply 2 by 16 as it says in the picture (it says 16 ounces equals 1 pound). The answer to this equation can be expressed as 32 or 32 ounces.

Question 2

First, you have to take information from the previous question which is that she has 2 pounds of fudge left. Then, she gives [tex]\frac{1}{2}[/tex] of the fudge to her sister, so you have to divide 2 by [tex]\frac{1}{2}[/tex] which is 1. Now, you have to express 1 as ounces as shown in the picture. You just have to multiply 1 by 16 which is 16. Therefore the answer can be expressed as 16 or 16 ounces.

Find the volume of each shape and then compare
Do not reduce your fractions.

Answers

Step-by-step explanation:

First prism:

V= 3/4×1/2×1/4= 3/32 in.

Second prism:

V=1/4×1/4×1/4= 1/64 in.

First prism: 3/32 but with same denominator as the second prism it is 6/64 in.

Second prism: 1/64 in.

( This down below is the difference of two volumes)

First prism-Second prism= 6/64 - 1/64= 5/64

The price of CD player was reduced from 80 to 52 what was the percent decrease in the price of the CD player

Answers

Answer:

The CD player's price decreased by 35%

use the given functions to answer the question.
f(x)=x^2+2x-5
g(x)--3x^2-4x+1
what is f(x)-g(x)

Answers

f(x)=x^2+2x-5

g(x)--3x^2-4x+1

what is f(x)-g(x)

f(x)-g(x)= x^2 + 2x - 5 - 3x^2 - 4x + 1

Group like terms.

x^2 - 3x^2 + 2x - 4x - 5 + 1

Add/Subtract similar terms

2x^2 - 2x - 4

f(x) - g(x) = 2x^2 - 2x - 4

-2x²-2x-4

Is the answer. I know because I took the test.

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of −8°C per hour. What was the temperature 1 hour ago?

Answers

Answer:

Step-by-step explanation:

Absolute zero, the lowest temperature possible, is defined as being exactly 0 K and −273.15 °C. Until 19 May 2019, the temperature of the triple point of water was defined as exactly 273.16 k

Find m∠RSQ
please and ty

Answers

Answer:

m∠RSQ = 19°

Step-by-step explanation:

From the picture attached,

RT is the diameter of the a circle.

Angle subtended at the circumference by the diameter of a circle = 90°

Therefore, m∠RST = 90°

Since, m∠RSQ + m∠QST = m∠RST

m∠RSQ + 71° = 90°

m∠RSQ = 90° - 71°

             = 19°

Therefore, measure of angle RSQ is 19°.

The power, P (watts) , of a car engine is proportional to the square of its speed, s ( m / s ) . When s = 35 , P = 1580 . Work out the power (to 1 DP) when the speed is 30 m / s

Answers

Answer:

P=2200 , K=35

Step-by-step explanation:

The power, P (watts), of a car engine is proportional to the square of its speed, k%28m%2Fs%29; it means if you have two different powers and speeds, you will have a proportion

P%3Ak%5E2=P%5B1%5D%3Ak%5B1%5D%5E2 or

P%2Fk%5E2=P%5B1%5D%2Fk%5B1%5D%5E2

When given:

k=35, P=2200

Work out the power P%5B1%5D (to 1DP) when the speed is k%5B1%5D=40%28m%2Fs%29

so,

P=2200

 

k=35

k%5B1%5D=40

and you need P%5B1%5D

2200%2F35%5E2=P%5B1%5D%2F40%5E2

2200%2F1225=P%5B1%5D%2F1600

1.79592=P%5B1%5D%2F1600

1.79592%2A1600=P%5B1%5D

P%5B1%5D=2873.5 watts

If the speed is 30 m per second. Then the power of the car engine will be 1160.8 watts.

What is proportion?

A proportionate expression is one in which two items are equal.

The power, P (watts), of a car engine is proportional to the square of its speed s (m/s).

P ∝ s²

P = ks²

We have

s = 35

P = 1580

Then the value of k will be

1580 = (35)² × k

k = 1.2897

Then the equation will be

P = 1.2897s²

If the speed is 30 m per second. Then the power of the car engine will be

P = 1.2897 x 30²

P = 1160.8 watts

More about the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Find the values of x and y.

Answers

Answer:

x = 15; y = 21

Step-by-step explanation:

The vertical angles have the same measure.

The sum of the measures of the angles of a triangle is 180 deg.

Left triangle:

4y - 18 + y + 14 + 6x - 11 = 180     Equation 1

Right triangle:

6x - 11 + 81 + x + 5 = 180       Equation 2

Simplify Equation 1.

4y - 18 + y + 14 + 6x - 11 = 180

6x + 5y = 195      Equation 3

Simplify Equation 2.

6x - 11 + 81 + x + 5 = 180

7x = 105

Solve last equation for x.

7x/7 = 105/7

x = 15

Substitute 15 for x in Equation 3 and solve for y.

6x + 5y = 195

6(15) + 5y = 195

90 + 5y = 195

5y = 105

y = 21

Answer: x = 15; y = 21

PLEASE HELP ASAP!!! i’ll mark brainlessly

Answers

1.5 km per hour

ngl i could be wrong :/

What is the complete factprization -18a^2+8?

Answers

Answer:

(-6a+4)(3a+2)

Step-by-step explanation:

(-6a+4)(3a+2)

-18a^2+12a-12a+8 (checking answer)

-18a^2+8

Start by dividing out a -2, after that you can recognize you have a difference of squares which can be factored by square rooting both terms

How you Can find the area of a composite figure?​

Answers

Answer:

Here are the steps to find the area of a composite figure.

1. Split the composite figure into simpler shapes.

2. Find the area of each of the simpler shapes.

3. Add the area of all the simpler shapes together.

4. You'll have the area of the composite figure.

Let me know if this helps!

Evaluate 0.5m + 1.2m when m = 4

Answers

Plug in 4 for m.
So, 0.5(4)+1.2(4)
2+4.8
= 6.8.

Answer:6.8.

Step-by-step explanation: 0.5(4) + 1.2(4) 2 + 4.8= 6.8.


Enter equations one at a time in order to send a line
through the coins to "capture" them.

Answers

Answer:

y = x + 3

y = 3x + 1

Step-by-step explanation:

This does it in two equations.

y = x + 3 and  y = 3x + 1 equation will send 2 different lines through the coins to capture them

using the slope intercept equation,

y = mx + b

m = slope

b = y-intercept

let's pick 2 coordinate from the graph,

(-2, 1)(-1, 2)

m = 2 - 1 / -1 - (-2)  = 1 / 1 = 1

1 =  -2 + b

b = 3

Therefore,

y = x + 3

let check for another equation that will work for another line. Let's use the coordinates (-1, -2)(0, 1) to find slope.

Therefore,

m = 1 - (-2) / 0 - (-1) = 3 / 1 = 3

y = 3x + b

1 = 3(0) + b

b = 1

y = 3x + 1

Check here for similar problems: https://brainly.com/question/22490518?referrer=searchResults

What’s the answer laaalalalalalaaaaaa

Answers

Answer: The slope is -1/2, the y-intercept is 4, and the equation is y=-1/2x+4

Step-by-step explanation:

Leah leaves school to go home. She walks 5 blocks north and then 8 blocks west. How far is Leah from the school?

Answers

Answer:

13 Blocks Away From School

Step-by-step explanation:

5 + 8 Is 13

Answer: 13 blocks from school

Step-by-step explanation:

Rectangle A is 10 times as long as rectangle B.



If rectangle A is 80 units long, select all the ways to find the length of rectangle

Answers

Answer:

8

Step-by-step explanation:

80/10=8

A parent purchased a dictionary for $13.50 and a pack of printer paper for $4.50. The sales tax rate was 4%. What was the total bill, including the sales tax?

Answers

Answer:

$18.72

Hope this helps :)

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