Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 + 5x + 6
** Remember y = 0 **
Real
o Complex
1

Use The Quadratic Formula To Solve For X And Then Determine Whether Your Solution Is Real Orcomplex.y

Answers

Answer 1

Answer:

[tex] x = -2 [/tex]   or   [tex] x= -3 [/tex]

The solution is real.

Step-by-step explanation:

x^2 + 5x + 6 = 0

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-5 \pm \sqrt{5^2 - 4(1)(6)}}{2(1)} [/tex]

[tex] x = \dfrac{-5 \pm \sqrt{25 - 24}}{2} [/tex]

[tex] x = \dfrac{-5 \pm \sqrt{1}}{2} [/tex]

[tex] x = \dfrac{-4}{2} [/tex]  or  [tex] x = \dfrac{-6}{2} [/tex]

[tex] x = -2 [/tex]   or   [tex] x= -3 [/tex]

The solution is real.


Related Questions

Which of these provides the best evidence that an environmental change has occurred?

Answers

Answer:

after a dry periods lasting many years only a few individuals of a tree population survive and then produce drought tolerant offspring.

Step-by-step explanation:

If you continue operating the tractor at its current level, how man
fertilize in the next hour?
A. 5.96 acres
B. 11.92 acres
C. 12.92 acres
D. 19.87 acres

Answers

Answer:

D. 19.87 acres

Step-by-step explanation:

do not put heart if wrong and put heart if correct

solve pls brainliest

Answers

Answer:

x = 6.4

Step-by-step explanation:

Step 1: Divide both sides by 4.

[tex]\frac{4x}{4}=\frac{25.6}{4}[/tex] [tex]x = 6.4[/tex]

Step 2: Check if solution is correct.

[tex]4(6.4)=25.6[/tex] [tex]25.6=25.6[/tex]

Therefore, x = 6.4.

Answer:

4x = 25.6

4x = 256 / 10

x = 256 / (10×4)

x = 64 / 10 (256 ÷ 4 = 64)

x = 6.4

so, answer is 6.4 .

Step-by-step explanation:

brainliest plz

I'm not sure how I can find my answer, any help?

Answers

Answer:

The next number would be 3

Step-by-step explanation:

As you can see its a repeating pattern of "1739"

Answer:

3

Step-by-step explanation:

1 7 3 9 1 7 3 9 1 7 3 9 1 7 3 9 ...

Solve the equation for X x - 5 = 12​

Answers

Answer:

X= 17

Step-by-step explanation:17-5 = 12 (Just add 12 and 5 for answer)

Answer: x=17

Add 5 on both sides

x-5+5=12+5

x=17

Step-by-step explanation: Hope this helps!

If you are having a tough time with math you can use:

khanacademy,

mathnation,

and many other free sources

solve pls brainliest

Answers

Answer: A= 304 feet B=1460

Step-by-step explanation:

What is the median of this data set 15, 33,51,51,75

Answers

The median would be 51

Answer:

51

Step-by-step explanation:

1. The median of a data set is the middle number within the data points.

2. As you can see, when you cross out each number from left to right then left to right again, you end up with 51 standing by itself. Therefore, the median is 51.

What is the equation of this line? A) y=-2x B)y=-1/2x C)y=2x D)y=1/2x

Answers

Answer:

y = -1/2 x

Step-by-step explanation:

Option B is the correct answer.

103.468 round this to the nearest liter

Answers

Answer:

103

Step-by-step explanation:

So the .4 in the tenths place is less than 5 it is rounded down/stays the same so its 103

Hope this helps!!

Have a nice day! :D

Heyyyyyyyy help meeeeeee fix

Answers

Answer:

A) Volume of prism: 4 * 8 * 9 = 288 cubic units

B) Area of shaded base: 4 * 8 = 32 squared units

   Volume of prism: 32 * 9 = 288 cubic units

Step-by-step explanation:

The volume of a prism can be calculated by multiplying its length, width, and height. The length of the prism is 8, the width is 4, and the height is 9. Thus, we get 8*4*9 = 288 cubic units. (cubic units because we are dealing with volume)

The area of the shaded base can be found by multiplying its length by its width. The length is 8 and the width is 4. Thus, 4*8 = 32 squared units (squared because we are dealing with area)

The volume of the prism using the area of the shaded base can be calculated by multiplying the area of the shaded base by the height, this is because the area of the shaded base is already the length * width and thus we only need to multiply by the height which is 9. Therefore we get 32 (area of shaded region) * 9 (height) = 288 cubic units.

I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!

Answers

Answer:

The first choice

Step-by-step explanation:

h=-3

hope it helps

Solution:

[tex]5h - 2 = 3h + 4 \\ = > 5h - 3h = 4 + 2 \\ = > 2h = 6 \\ = > h = \frac{6}{2} \\ = > h = 3[/tex]

Answer:

Option d. 3

Water expands when it freezes. Ice is less dense than water so it floats.If the increase in volume is 4% what volume of water will make an iceberg of 12 700000 m^3?​

Answers

Answer:

Volume of water would be 12,200,000 m^3

Step-by-step explanation:

hope that helps :D

a) The simplest form of 20
100
is _____________.

b) The mixed fraction of 80
9
is _____________.

c) When we convert 13 5
7
to an improper fraction, we get __________.

d) In a basket of 27 mangoes, 6 are rotten. This statement can be written as a fraction
as (give the answer in the simplest form) ___________.

Answers

[tex]a) \: \: \frac{20}{100} \\ = \frac{1}{5} \\ b) \: \: \frac{80}{9} \\ = 8 \frac{8}{9} \\ c)13 \frac{5}{7} \\ = \frac{96}{7} \\ d) \frac{6}{27} \\ = \frac{2}{9} [/tex]

The thermostat for a house is set to 70°F, but the actual temperature may vary by as much as 4°F. Use an
absolute value inequality to find the range of possible temperatures in the house.
The range of possible temperatures in the house (in degrees Fahrenheit)

Answers

Answer:

Step-by-step explanation:

74’F

Answer:

The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F

Step-by-step explanation:

To Find:

The range of possible temperatures in the house

Solution:

Given:

Thermostat is set to 70 °

Also actual temperature may by a much of 4°

If the temperature is 4°F lower, and actual temperature = 70°- 4° = 66° F

If the temperature is 4°F higher, actual temperature = 70°+4° = 74°

Therefore, The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F

What is the smallest number that rounds to 45 000 when round off to the nearest thousand​

Answers

The least number which can be rounded off to 45,000 is 44,500. While the largest is 45,499.

- BRAINLIEST answerer

Answer:

44 500

Step-by-step explanation:

When 44 499 is round off to nearest 1000,answer is 44 000.Therefore this is the smallest no. the rounds to 45 000

Is this sequence arithmetic? (Hint: determine if there is a common difference)


7, 18, 29, 40


A) yes

B) no

Answers

Yes because you add 11 each time
18-7=11
29-18=11 ……
Please mark brainelist

An engine runs for 5.8 hours. How many seconds did it run?

Answers

Answer: 20880 seconds.

Step-by-step explanation:

what equation is perpendicular to the equation 4y=x-36

Answers

Answer:

y=6 and x=9

Step-by-step explanation:

Ur dad left you IMAO go look for your dad

Please help me fast thank you for your help I’ll give 50 points

Answers

Answer:

C

Step-by-step explanation:

Answer:

It's option 3

Step-by-step explanation:

A farmer has 1804 feet of fencing available to enclose a rectangular area bordering a river. If no fencing is required along the river, find the dimensions of the fenced
area that will maximize the area. What is the maximum area?
What is the length of the fenced area?

Answers

Answer:

length: 601 1/3 area: 361601 7/9

Step-by-step explanation:

the maximum area would be a square, and we only need 3 sides, so we can divide the amount of fencing by 3

1804/3=601 1/3

the length is 601.(3)

square to find the area

(1804/3)^2

361601 7/9

area is 361601 7/9

The angles of a triangle are A, B and C.
Angle A is three times as big as angle B.
Angle B is half the size of angle C.
What is the size of angle A?

Answers

Answer:

∠A = 90°

Step-by-step explanation:

∠A = 3∠B

∠B = 1/2 × (∠C), this can also be written as ∠C = 2∠B

∠A + ∠B + ∠C = 180, because there are 180° inside a triangle

Write angle A, B and C in terms of angle B:

3 ∠B + ∠B + 2 ∠B = 180

Simplify:

6 ∠B = 180

∠B = 180 ÷ 6 = 30°

Work out angle A:

∠A = 3∠B = 3 × 30°

∠A = 90°

HELP!!!!! Someone answer ASAP PLEASE!!!!

Answers

Answer:

thay are independent

Step-by-step explanation:

I only know that they are independent but Don't really know how to explain and do step by step.

Answer:

a, =to 13 and B, is to 45 and C,13 D, 14 of tells

Box method sixty three
times thirty nine

Answers

Answer:

6237

Step-by step explanation

60 x 30 = 1800

30x3=90

9x60=540

9x3=27

1800+90+540+27=6237

what is the slope of a line parallel to the line on the graph?

Answers

Answer:

3/4

Step-by-step explanation:

To find the slope of a line parallel to this line, we first need to find the slope of this line. Using rise/run, you get that the slope is 6/8 which simplifies to 3/4.

The slope of any two parallel lines always is the same so the slope of a line parallel to the one given would be 3/4.

thanks for the answer

Answers

Answer:

there's no questions haha, ty sa points

Answer:can you plz give us the question

Step-by-step explanation:

plz mark brainliest i need 5 of them

Sorry I ain’t know why it look like that buh can someone help asap

Answers

Answer:

[tex]for \: \: dmain \: of \: {f}^{ - } \: \: is \: equal \: f \: range \\ y = \sqrt{x } - 5 \\y \: range \: is \: y \geqslant - 5\\ y + 5 = \sqrt{x} \\ x = {(y + 5)}^{2} \\ {f}^{ - 1} = {(x + 5)}^{2} \\ \\ dmain \: of \: \: {f}^{ - 1} \: x \geqslant - 5[/tex]

x(x+6)=-8 quadratic equation

Answers

Answer:

x=-2 or x=-6

Step-by-step explanation:

x^2+6x+8=0

(x+2) (x+6)=0

x=-2 or x=-6

HELP LAST ATTEMPT ??!!

Answers

Answer:

x=26

Step-by-step explanation:

x+11+2x+1+90=180 [Angles in a straight line]

3x=180-102

x=78/3

x=26

or,

x+11+2x+1=90 [Complementary angles]

3x=90-12

x=78/3

x=26

The larger trapezoid is dilated form the
smaller trapezoid

Answers

Answer:

are there any equations for this possibly? and if not it is just a smaller scale version of the dilated trapezoid.

If a square has a perimeter of 36cm how long is each side of the square

Answers

Answer:

9 cm

Step-by-step explanation:

→ Remember how many sides a square has

4

→ Divide it by the perimeter

36 ÷ 4 = 9

Step-by-step explanation:

you know what a square is ?

it is a closed shape with 4 sides.

all 4 sides are equally long.

all 4 inner angle are 90 degrees.

you know what a perimeter is ?

it is the circumference, the whole way one time around the shape, around the outline of a given structure.

if you don't know the terms, for heaven's sake, please ask your teacher, your friends, your parents or us here directly.

don't wait. don't be afraid or ashamed.

because this here is an extremely simple problem to solve, once you understand the words used.

so, as per the explanations, the perimeter of a square is the sum of the lengths of all sides. and because all sides are equally long, this means the perimeter is simply 4 times the length of one side.

36 = 4×side

side = 36/4 = 9cm

so, each side of the square is 9cm long.

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