WORTH 20 POINTS!!!
Find the discriminant of the quadratic equation x2 + 6x + 14 = 0 and use it to determine the number and types of solutions.

b2 − 4ac

−20; Two nonreal solutions
−20; One real solution
92; Two real solutions
92; One real solution

Answers

Answer 1

Answer:

-20;two nonreal solutions

Step-by-step explanation:

D=b^2-4ac=36-14*4=-20

because after that you need to write D^1/2 and D is <0,the solutions are unreal

Answer 2

Answer:

-20 and two nonreal solutions.

Step-by-step explanation:

The discriminant of a quadratic equation uses the equation:

[tex]b^2 - 4ac[/tex]

Where the value of this calculation can tell you what solutions there are, plug known values in:

[tex]x^2 + 6x + 14 = 0\\a = 1\\b = 6\\c = 14\\[/tex]

[tex]b^2 - 4ac\\6^2 - 4(1)(14)\\36 - (4 * 14)\\36 - 56 = -20[/tex]

As -20 < 0, this means that there is not a real solution, resulting in the first option being correct.

Hope this helps!


Related Questions

-2/9 as a decimal help

Answers

Answer:

-.222

Step-by-step explanation:

Hey there!

To find the decimal form of a number you have divide the numerator (top number) from the denominator (bottom number) and you should have your result then

a / b

= a ÷ b

= result

Equation: -2/9

= -2 ÷ 9

= -0.222222

Answer: -0.222222

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Meshal earns $750 per week. He has 1/5 of his income withheld for federal taxes, 1/15 of his income withheld for state taxes, and 3/25 of his income withheld for medical coverage. How much income is left each week after those deductions?

Answers

Answer:

$460 is the Income Left.

Step-by-step explanation:

1/5 of $750 is $150 so after Federal Taxes he has $600

1/15 of $750 is $50 so after State Taxes he has $550

3/25 of $750 is $90 so after Medical Coverage he has $460

Therefore after the Income that’s left after those deductions would be $460.

She ran 415 miles on Monday.
She ran a different distance on Tuesday.
She ran a total of 712 miles on both days

Answers

Answer:

she ran 297 miles on tuesday

Step-by-step explanation:

Answer:

Distance ran on Tuesday: 297 miles

Step-by-step explanation:

total distance ran = distance ran on Monday + distance ran on Tuesday

⇒ 712 = 415 + x

⇒ 712 - 415 = x

⇒ 297 = x

negative three over eight divided by five over nine..

Answers

Answer:

- 27/40

Step-by-step explanation:

A group of friends were working on a student film that had a budget of $1200. They use 63% of their budget on equipment. How much money did they spend on equipment?

Answers

Answer:

$756

Step-by-step explanation:

To find the percentage of a number just move the percentage amount decimal over two spaces and multiply like so

63%=.63

.63 x 1200

They used $756 on equipment

share 5,000 in the ratio of 1:2:3:4​

Answers

Answer:

500 : 1000 : 1500 : 2000

Step-by-step explanation:

sum the parts of the ratio , 1 + 2 + 3 + 4 = 10 parts

Divide the amount by 10 to find the value of one part of the ratio

5000 ÷ 10 = 500 ← value of 1 part of the ratio , then

2 parts = 2 × 500 = 1000

3 parts = 3 × 500 = 1500

4 parts = 4 × 500 = 2000

5000 = 500 : 1000 : 1500 : 2000 in the ratio 1 : 2 : 3 : 4

Total
1:2:3:4 10
500:1000:1500:2000 5000

Steps:

1+2+3+4=10
5000 divided by 10= 500
500x1=500
500x2=1000
500x3=1500
500x4=2000

So the final answer is

500:1000:1500:2000

Factor the trinomial
10x^2+11X-6

Answers

Answer:

The expression is not factorable with rational numbers.

10x2+11X−6

Step-by-step explanation:

PLS Brainliest

solve for b please. last one​ 33 points

Answers

Answer:

32

Step-by-step explanation:

6^2= b^2 + 2^2

b^2 = 36- 4

b^2= 32

b= √32

Answer:

√32

Step-by-step explanation:

The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.

6² - 2² = b²

36 - 4 = b²

32 = b²

help me with this guys

Answers

Let y = cos⁻¹(x), so that cos(y) = x.

For some angle y between 0 and π, cos(y) takes on some value between -1 and 1.

For the y in this range, we have cos(y) = -1/2 exactly when y = 2π/3.

Then

tan(cos⁻¹(-1/2)) = tan(2π/3) = sin(2π/3)/cos(2π/3) = (√3/2)/(-1/2) = -√3

A line includes the points (6,9) and (14, 17). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = x + 3

Step-by-step explanation:

Given: (6,9)  (14, 17)

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{17-9}{14-6}=\frac{8}{8}=1[/tex]

slope, m = 1

Equation of line ⇒ y=mx+b

y = 9 , x = 6 , m = 1, b = ?

9 = 1*6 + b

9 = 6 + b

b = 9 - 6 = 3

Therefore, the equation of line will be:

y = 1x + 3

y = x + 3

Systems of elimination for
2w-3q=8
3w-7q=7

Answers

i guess is by multiplying 3by the first equation and multiply 2by the second equation

what is the approximate area of a circle with a radius of 11m?

Answers

The answer to this is that the area≈380.13

What is a_50 of the arithmetic sequence 45, 40, 35, 30.

Answers

Answer:

5s

Step-by-step explanation:

45-5=40

Read the excerpt from the poem "Hide and Seek":

(21) I examine my hideout, the contours of the leaves,
(22) The blades of grass, a crawling caterpillar.
(23) The minutiae fascinate me, a world within my world.
(24) One touch from me, and the caterpillar lies curled.

(25) Isn't this a metaphor for life?
(26) I'm in a game within another game.
(27) We're all fascinated by ourselves, and our own life.
(28) How often do we acknowledge others' trouble and strife?

How does the point of view influence the description in lines 22-28?

A deeper connection is made and uses the setting to relate to life by the speaker.
A quick description of the hiding place is given at the end of the game by the speaker.
The other children's hiding spots are described by someone, not in the poem.
The setting is being described by someone who was not playing the game.

Answers

Answer:

A

Step-by-step explanation:

Help.....Me...........PLEASE

Answers

Answer:

~corresponding angles

~congruent

~7x-10=6x so x=10

~60⁰ and 60⁰

X2-7x-34=10 solve please

Answers

its -8 4/5, hope this helps

Answer:

x = 11

x = -4

Step-by-step explanation:

table value equation for y=2x + 4

Answers

Answer:

below

Step-by-step explanation:

All we need to do is substitute the x values given in the table to find each value of y thats blank.

When x = -1,

y = 2(-1) + 4

y = -2 + 4

y = 2

When x = 1,

y = 2(1) + 4

y = 2 + 4

y = 6

Whe x = 2,

y = 2(2) + 4

y = 4 + 4

y = 8

Best of Luck!

Twelve square tiles, each measuring 5 inches
on a side, are laid side by side. What is the total
width of the tiles?

Answers

Answer:

pretty sure 60, 5 x 12

Step-by-step explanation:

just do 5 x 12 if there's 12 tiles and their measurement is 5 inches each

Which expression is an equivalent expression for 2(6y – 4)?
A. 8x – 2
B. 12y – 8
C. 8y
D. 12y + 4

Answers

Answer:

B.

Step-by-step explanation:

Because you have to multiply 6y by 2 that is 12y and you have to multiply -4 by 2 that is - 8, you put it together and it's 12y - 8.

B, using distribution you would multiply 2 by 6y and get 12y, then 2 by -4 and get -8

Solve the slope for the table.

Answers

Answer:

The slope is 0

Step-by-step explanation:

All y-values are equal to 5 meaning the graph is a straight horizontal line. Slope is the rate at which a graph increases or decreases. Seeing as this graph doesn't do so, the slope is 0.

The slope is zero I think

There are 14 apples in a basket. 9 of these apples are green. The rest of them are red.
What is the ratio of red apples to green apples?

Answers

Answer:

9:5 is the ratio of green to red

9:5 is the ratio of green to red

27 x 9^3x can be written in the form 3^k where k is an expression in terms of x. Find k

Answers

Answer:

27 x 9^3x = 3^3 x 9^3x = 3^3 x (3^3)^3x = 3^3 x 3^9x = 3 ^3+9x

3^3+9x = 3k

ln(3^3+9x) = ln(3^k)

3+9x(ln3)=k(ln(3))

k= 3(1+3x)/ln(3)

Step-by-step explanation:

ln(x^n) = n(ln(x))

URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Answers

Answer:

I don't think soo that it make a function

No, as the graph fails the verticals line test

So the answer is A

Rearrange v=u+at to make t the subject of formula.
A. t=(u-v)/(a)
B. t=(v-u)/(a)
C. t=(u+v)/(a)
D. t=(v+u)/(a)

Answers

Answer:

t=(v-u)/a

hope it will help you

Express each ratio as a fraction in the simplest form:

8dm to 3.2 m and 0.3k to 500 m

Answers

Answer:

1/4, 3/5

Step-by-step explanation:

0.8/3.2=8/32=1/4

0.3/0.5=3/5

HELP PLS! At a raffle, 100 tickets are sold for 1 prize of $100 and 3 consolation prizes of $20. What prizes should the tickets be sold for if the goal is to make the raffle a fair game?

Answers

Step-by-step explanation:

I assume "fair game" means that there is no profit and the expenses are equal to the income or sales.

we have clear expenses :

1× $100

3× $20

that is in total : $160

now we need to make sure that we generate exactly $160 by selling the tickets.

we have 100 tickets that should lead to $160.

how much should 1 ticket cost ?

well, 160/100 = $1.60

What are the values of each variable?

Answers

x is 67
y is 63
z is 85

explanation-
x + 63 = 130 (exterior angle theorem)
-63 -63
x = 67

y and 63 are vertical angles so they are equal.

63 + 85 + z = 180 (triangle sum theorem)
148 + z = 180
- 148 -148
z = 32

write a linear equation that passes through the point (-3,3) and (9,-13)

Answers

Answer:

y=-4/3x-1

Step-by-step explanation:

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2 -{x}^{1} } } [/tex]

[tex] \frac{ - 13 - 3}{9 - - 3} = \frac{ - 16}{12\ }[/tex]

y=mx+b like this:

y=-4/3x+b

To find b:

y=-4/3x+b. 

You can use either (x,y) point you want..the answer will be the same

(-3,3). y=mx+b or 3=-4/3 × -3+b, or solving for b: b=3-(-4/3)(-3). b=-1.

(9,-13). y=mx+b or -13=-4/3 × 9+b, or solving for b: b=-13-(-4/3)(9). b=-1.

Find the vertex and the axis of symmetry.

Answers

Answer:for the vertex I believe it is y-9 and x-2 for axis of symmetry

Step-by-step explanation:

Answer:

a. Downwards

b1. x intercept = (-4,0) (8,0)

b2. Y intercept (0,8)

c. Vertex (2,9)

d. Axis of symmetry 2

Step-by-step explanation:

Question 6 of 10
Which graph or graphs appear to show a sinusoid?
A. I only
B. I and II only
C. Il only
D. III only

Answers

Answer: B. I and ll only

Step-by-step explanation:

The graph appear to show a sinusoid is Graph  I and II only.

What is Sinusoidal function?

A smooth, repeating oscillation characterises a sinusoidal function. Sine is an oscillation that is smooth and repeated, thus the name "sinusoidal." A pendulum swinging, a spring bouncing, or a guitar string vibrating are a few examples of commonplace objects that can be described by sinusoidal functions.

A sinusoidal function has a smooth periodic graph as its representation.

The graph repeats itself at every predetermined interval and is continuous along the x-axis.

We can tell from the graph that has been given to us that it is a sinusoidal graph || since it resembles a graph of sines.

Moreover, since graph I|I is not continuous, it cannot be a graph of sinusoidal graph.

Moreover, graph I represents a sinusoidal graph because it resembles a sine function graph.

Learn more about Sinusoidal function here:

https://brainly.com/question/12803060

#SPJ7

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