For what values of k will the equation 4x² + 8x + k = 0 have two complex solutions?

Answers

Answer 1

Answer:

k = -4x² - 8x

Step-by-step explanation:

Subtract 4x²  from both sides of the equation.

8x + k = -4x²

Subtract  8x  from both sides of the equation.

k = -4x² - 8x

Answer 2

Answer:

k > 4

Step-by-step explanation:

Using the discriminant to determine the nature of the solutions

• If b² - 4ac < 0 then the solutions are not real, that is they are complex

Given

4x² + 8x + k = 0

with a = 4, b = 8, c = k , then

8² - (4 × 4 × k) < 0

64 - 16k < 0 ( subtract 64 from both sides )

- 16k < - 64

Divide both sides by - 16, reversing the symbol as a result of dividing by a negative quantity.

k > 4

Any value of k greater than 4 will mean the equation has 2 complex solutions


Related Questions

Which of the following tables represent functions? If the relation is not a function, indicate why it is not.

Answers

Step-by-step explanation:

1. the table on the left is a function, with the formula : y = x²

2. the table on the right is also a function, indicated by the values of the input are different each others

Find the simple interest principal 8000 rate 12% time 5 1/2 years

Answers

Answer:

5280

Step-by-step explanation:

12% of 8000 = 960

960 x 5.5 = 5280

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Explain how you would go about factoring the following?

3x^2 +17x-28

Answers

Answer:

[tex](x + 7) \times (3x - 4)[/tex]

Step-by-step explanation:

[tex] {3}^{2} + 17x - 28[/tex]

[tex]3 {x}^{2} + 21x - 4x - 28[/tex]

[tex]3 \times x(x + 7) - 4x - 28[/tex]

[tex]3x \times ( x + 7) - 4(x + 7)[/tex]

[tex](x + 7) \times (3x - 4)[/tex]

6-(-11) how to solve

Answers

Hi ;-)

Calculate

[tex]6-(-11)=6+11=\boxed{17}[/tex]

Answer:

17

Step-by-step explanation:

6-(-11)

Subtracting a negative is like adding

6+11

17

Solve 6(x - 3) = 11x +7

Answers

Answer:

x = -5

Step-by-step explanation:

Given,

6(x-3) = 11x + 7

=> 6x - 18 = 11x + 7

=> 11x - 6x = -18 - 7

=> 5x = -25

[tex] = > x = \frac{ - 25}{5} [/tex]

=> x = -5 (Ans)

[tex]\large\bf{\red{ \bullet}} \: \tt \:\: 6(x - 3) \: = \: 11x + 7[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \:\:6x \: - \: 18 \: = \: 11x \: + \: 7[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \:\: - 7 \: \: - 18 \: = \: 11x \: - \: 6x[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \: \: - 25 \: = \: 5x[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \: \cancel\frac{-25}{5} \: = \: x[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \: - 5 \: = \: x[/tex]

[tex]\large\bf{\red{ \bullet}} \: \tt \: \: x \: = \: - 5[/tex]

Find the arc length of the partial circle. Either enter an exact answer in terms of π or use 3.14 πpi and enter your answer as a decimal

Answers

Answer:

C (circumference) = 2 pi R for circle

A (arc length) = R * theta = pi R = pi * 9 = 28.27

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anyways, I subscribed to brainly plus
your answer will be deleted immediately if you don't answer it correctly​

Answers

MATH // ANSWER

Representation:

let x be the number:

first number xsecond number x+1third number x+2

Illustration:

(1st)² + (2nd)(3rd) = 46x² + (x+1)(x+2) = 46

Solution:

x² + (x + 1) (x + 2) = 46 + 3x + 2 = 462x² + 3x = 2 - 46 = 02x²+3x - 44 = 0x - 4 = 0 2x + 11 = 0x = 4 2x = -11x = -11/2

1st = 4

2nd = 4+1 = 5

3rd = 4+2 = 6

Checking:

4²+(5)(6) = 4616+30 = 4646 = 46

Answer

the numbers are 4, 5 and 6

HOPE THIS HELPS. GOODLUCK:)

Wyatt translates both lines 6 units
up and 2 units to the left. Which
of the following must be true?
A. After the translation, line f will not
intersect line g.
B. After the translation, line f will be
the same line as g.
C. After the reflection, line f will not
intersect the y-axis.
D. After the reflection, line g will not
intersect the x-axis.

Answers

The answer is A.

A translation is a rigid motion, so the shape and length of the figure will not be changed in any way, only the position. C and D can’t be the answer because there was no reflection, only a translation. And it can’t be B because both lines are being translated the same distance.

which equation can be used to solve for x in the following diagram?

Answers

Answer:

A

Step-by-step explanation:

We know that it is A because the two smaller angles are being added, and we know the sum is 90 degrees. The only equation that satisfies both of these is A.

Answer:

A

Step-by-step explanation:

because it is a right angled

Two trains leave stations 228 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 85
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Answers

Answer:

in 20 kilometers round they will meet

Which transformation were used to fcreate traianglemA’ B’ C?

Answers

9514 1404 393

Answer:

  (b) dilation by 2, reflection in y-axis

Step-by-step explanation:

Each of the dimensions of ΔA'B'C' is double the corresponding dimension of ΔABC, so dilation by a factor of 2 has occurred.

The sequence of vertices in ΔA'B'C' is CCW, opposite that of ΔABC. Hence, a reflection has taken place. (Rotation keeps the same order.)

The transformation is a dilation by a factor of 2 and a reflection across the y-axis.

what type of number is 4 plus 5 StartRoot 2 EndRoot?

Answers

Step-by-step explanation:

Adding \sqrt{-2}\,\,and\,\,\sqrt{-18}

−2

and

−18

we get 4\sqrt{2i}4

2i

Option C 4 StartRoot 2 EndRoot i is correct.

Step-by-step explanation:

We need to find the sum of: \sqrt{-2}\,\,and\,\,\sqrt{-18}

−2

and

−18

Finding sum:

\sqrt{-2}+\sqrt{-18}

−2

+

−18

\sqrt{-2}

−2

can be written as \sqrt{2}i

2

i

\sqrt{-18}

−18

can be written as \sqrt{18}i

18

i

We know 18 = 2x3x3 = 2x3^2 so,

\sqrt{2i}+\sqrt{2\times 3^2}i

2i

+

2×3

2

i

\sqrt{2i}+3\sqrt{2}i

2i

+3

2

i

Adding like terms:

4\sqrt{2i}4

2i

So, adding \sqrt{-2}\,\,and\,\,\sqrt{-18}

−2

and

−18

we get 4\sqrt{2i}4

2i

Option C 4 StartRoot 2 EndRoot i is correct.

Keywords: Square root

6 ice cream cones cost $10. How much will 9 cost?

Answers

Answer:

15 dollars

Step-by-step explanation:

We can write a ratio to solve

6 cones         9 cones

------------   = --------------

10 dollars       x dollars

Using cross products

6*x = 10 *9

6x = 90

Divide each side by 6

6x/6 = 90/6

x = 15

Write the ratio 2/3/4/5 in simplest form

Answers

Answer: The given ratio, in simplest form, is 4/7.

Step-by-step explanation:

Rewrite 2/3.5 as 4/7 by multiplying both the 2 and the 3.5 by 2.  This eliminates the decimal fraction.

The given ratio, in simplest form, is 4/7.

which of this shape will tessellate?​

Answers

Answer:  You can consult:

Triangles, squares and hexagons are the only regular shapes which tessellate by themselves. You can have other tessellations of regular shapes if you use more than one type of shape. You can even tessellate pentagons, but they won't be regular ones. Tessellations can be used for tile patterns or in patchwork quilts!

Step-by-step explanation:

I'm not sure but hope it helps.

Determine the volume of
the right rectangular prism
shown.
112 cm
4 cm
24 cm

Answers

Answer:

5376

Step-by-step explanation:

V=sh

In store A: A box of cotton candy costs 1 dollar, 12 boxes cost 12 dollars. In store B: 12 boxes cost 48 dollars. How much does each box cost in store B?

Answers

Answer:

$4

Step-by-step explanation:

To find the cost of each box divide the total cost by the number of boxes:

48/12 = 4

In store A:

→ A box of cotton candy cost = $ 1

→ 12 boxes cost = $ 12

In store B:

→ 12 boxes cost = $ 48

Now we have to,

find the cost of each box in the store B.

→ Total cost in B ÷ Total boxes in B

→ 48 ÷ 12 = 4

So, $ 4 is cost of each box in store B.

The volume of a cylinder is 64 cubic feet, and the height of the cylinder is 8 feet. What is the radius of the cylinder?

Answers

Answer:

V = pi R^2 * h       volume of cylinder    (area of base * height)

pi R^2 = 64 / 8 = 8

R^2 = 8 / pi = 2.865

R = 1.69 ft

The area of a rectangle is 18 m² if the length is 6 m less than five times the width then find the dimensions of the rectangle round off your answer to the nearest hundredth

Answers

Answer:

Step-by-step explanation:

width = w

L = 5w - 6

w(5w - 6) = 18

5w^2 - 6w = 18

5w^2 - 6w - 18 = 0

Using the quadratic equation formula

x = 2.58997 and

x = -1.38997   This root cannot be. (No rectangle has a minus length.

w = 2.58997

L = 5*2.58997 - 6

L = 6.94985

w = 2.59

L = 6.95

age at BBM 2019 Question Group 'A Brief answer questions; 1. Integrate the following: S(ax? + 2bx + c)3/2(2xa + 2b) dx 2.

Answers

If the integral is

[tex]\displaystyle \int (ax^2+2bx+c)^{3/2}(2ax+2b)\,\mathrm dx[/tex]

substitute [tex]u = ax^2+2bx+c[/tex] and [tex]\mathrm du=(2ax+2b)\,\mathrm dx[/tex]. Then you end up with

[tex]\displaystyle \int u^{3/2}\,\mathrm du = \frac25u^{5/2} + C[/tex]

which in terms of x is

[tex]\boxed{\dfrac25(ax^2+2bx+c)^{5/2} + C}[/tex]

Express the limit as a definite integral on the given interval.

n
lim Σ
n→[infinity] n i = 1 [3(xi*)3 − 7xi*]Δx, [2, 5]

Answers

9514 1404 393

Answer:

  [tex]\displaystyle\int^5_2 {(3x^3-7x)} \, dx[/tex]

Step-by-step explanation:

The interval of interest becomes the limits of integration. ∆x becomes dx, and the xi are replaced by the variable of integration, x.

What is 1 1/2 + 3/16

Answers

Answer: 27/16

Explanation:

1 1/2 + 3/16
= 3/2 + 3/16
= 24/16 + 3/16
= 27/16

What is this number sentence equal to?

If you could help, thank you so much!

Answers

the answer is 18.63 :)

Answer:

18.63

Step-by-step explanation:

[tex] \frac{6}{10} = 0.6 \\ \frac{3}{100} = 0.03[/tex]

[tex]10 + 8 + 0.6 + 0.03 = 18.63[/tex]

1/2. Divided by 2/12 picture

Answers

1/2 divided by 2/12 or 1/6 would be 3.The reciprocal of 1/6 is 6 and multiplied with 1/2 = 3.

Answer:

3

Step-by-step explanation:

[tex] \frac{1}{2} \div \frac{2}{12} [/tex]

➡️ [tex] \frac{1}{2} \times \frac{12}{2} [/tex]

➡️ [tex] \frac{1}{2} \times 6[/tex]

➡️ [tex] = 3[/tex] ✅

Phil wants to fence off his rectangular yard. If the yard is 65 feet by 80 feet, and fencing costs $6 per foot, how much will it cost Phil to fence the yard?

Answers

Answer:

Step-by-step explanation:

if Phil intents to surround the entire yard with fence then he needs

6(65)+6(80)870feet of fence >>> this is the parameter of the rectangle

and since the fence cost $6 per foot

total would 870x6= $5220

WHY DOES NO ONE ANSWER MY QUESTIONS?? Its kinda annoying that i answer others' questions but no one answers mine. Well if anyone feels like helping me heres my question:
A mathematician reported the results from a particular experiment to the researcher who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0.21. Based on this p-value, what should the researcher conclude?

The test was not statistically significant because 2 × 0.21 = 0.42, which is less than 0.5.
The test was statistically significant because a p-value of 0.21 is greater than a significance level of 0.05.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.
The test was statistically significant because p = 1 − 0.21 = 0.79, which is greater than a significance level of 0.05.

Answers

Answer:

The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.

Step-by-step explanation:

This is the right answer,since this result is only observed 21% of the time, so in general it's not significant, so the first 2 are eliminated. The 2 x 0.21 doesn't matter since, the percent is 21% not 42%, so it doesn't even matter. The last question we eliminate is:"The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time" 79% of the time is a pretty good amount to say it's significant, but it only says 21% of the time.So, it leaves us with:The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.

Hope this helps lol (: is this a psat or somethin?

Can we please have some help

Answers

I believe A=2 and B=6, sorry if I’m wrong

Name a pair of addends with a sum of 6?

Answers

Answer:

2 and 4

1 and 5

3 and 3

Step-by-step explanation:

Answer:

1 + 5

2 + 4

3 + 3

I hope I helped out

Can someone explain this and answer please :)

Answers

Answer:

day 8

Step-by-step explanation:

the rate of change is 2 (x2) which is making the amount saved double each day you can write a formula to represent this sequence:

f(n)=0.01x2^n-1

you put in the day number for n

f(n)=0.01x2^8-1

this gives you 1.28 which is the first day with an amount above 1.00

Please help with my question.

Answers

Answer:

C

Step-by-step explanation:

-4*(-2)=7(r+9)

8=7r+63

-7r=55

r=-55/7=-7 6/7

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