Find k such that 16x2 – 8 /3x+k=0 has a repeated real solution.

Answers

Answer 1

Answer:

k = [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Using the discriminant

Δ = b² - 4ac

For a repeated real solution then

b² - 4ac = 0

Given

16x² - [tex]\frac{8}{3}[/tex] x + k = 0

with a = 16, b = - [tex]\frac{8}{3}[/tex] , c = k

(- [tex]\frac{8}{3}[/tex] )² - ( 4 × 16 × k) = 0

[tex]\frac{64}{9}[/tex] - 64k = 0 ( subtract [tex]\frac{64}{9}[/tex] from both sides )

- 64k = - [tex]\frac{64}{9}[/tex] ( divide both sides by - 64 )

k = [tex]\frac{1}{9}[/tex]


Related Questions

2
Stuart uses 3 of a cup of sugar for a recipe. How many cups of sugar are needed for 7 recipes?
Express the amount as a mixed number.
cups
Blank 1:
Blank 2:

Answers

Answer:

Blank1=4   blank2=2\3

Step-by-step explanation:

2\3 for 1 recipe

For 7 recipe = 7 x 2\3

= 14\2 x 2\3 -> take out the 2

14\3 = 14 divided by 3 is 4 with remainder of 2

So, 4 2\3

Find the measure of one interior angle of a regular 16-gon.

Answers

Answer:

157.5

Step-by-step explanation:

14×180/16

= 315/2

= 157.5

Answer:

Step-by-step explanation:

16 sides  

n-2=14

14x 180 = 2250

2250/16 =157.5 = 158

14.127 divided by 5.1 show work please

Answers

The quotient of 14.127 divided by 5.1 is 2.77

14.127 ÷ 5.1

To make the calculation easier without the use of a calculator :

Multiply both sides such that bith the dividend and divisor are integer values :

Multiply both by 1000

14.127 × 1000 = 14127

14127 51 × 1000 = 5100

Hence,

14127 ÷ 5100 = 14127 / 5100 = 2.77

Hence, 14.127 ÷ 5.1 = 2.77

Learn more : https://brainly.com/question/21416852

Find the equivalent fraction of 2/3 having denominator 6 and 6 and numerator 10.​

Answers

Step-by-step explanation:

having denominator 6,

X/6= 2/3

X= 4

so, 4/6= 2/3

having numerator 10,

10/X= 2/3

X= 15

so, 10/15= 2/3

if 6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in how many minutes​

Answers

Answer:

It'll take 144 minutes for 5 pipes.

Step-by-step explanation:

[tex]{ \sf{6 \: pipes = 120 \: mins}} \\ { \sf{5 \: pipes = ( \frac{6}{5} \times 120) \: mins}} \\ \\ = { \sf{144 \: mins}}[/tex]

but practically, it seems to be abnormal. if 6 pipes take 120 mins, 5 pipes must takes a time greater than 120 mins cause amount of water flowing to the tank is decreasing.

But there is a possibility that pressure of water was increased for the case of five pipes, that's why it takes a time less than 120 mins. (t < 120)

Answer:

144 minutes

Step-by-step explanation:

here we use inverse proportion because the more pipes there are the less time is needed

the formula for inverse proportion is y = k/x

first we need to find k which is the constant

if y is the number of minutes and x is the number of pipes we can substitute these into the formula like so: 120 = k/6

to find k rearrange the formula to get k = 6 * 120 = 720

now that we have k we can substitute 720 (k) and 5 (x) into y = k/x

y = 720 / 5

y = 144

(y is the number of minutes in this case so the answer is 144 minutes)

A property sells for $140,000 two years after it was purchased. If the annual appreciation rate is 6%, how much did the original buyer pay for it?

Answers

Answer:

$123,200

Step-by-step explanation:

0.06 x 2 = 0.12

140,000 x 0.12 = 16,800

140,000 - 16,800 = 123,200

The original buyer paid the amount of $123,200 for the property.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

The property appreciated by 6% per year, so in two years it would have appreciated by 6% × 2 years = 12%.

Once we know the total appreciation, we can subtract that value from 100% to find the original purchase price as a percentage of the final sale price.

If the property appreciated by 12%, then the original purchase price must have been 100% - 12% = 88% of the final sale price.

Now, multiply the final sale price by the original purchase price as a percentage to find the original purchase price.

So, the original buyer paid the amount = 88% × $140,000 = $123,200

Therefore, the original purchase price was $123,200.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?

Answers

Answer:

9/10

Step-by-step explanation:

0.9 = 90/100 9/10

0.90 is the same as 90/100

If my answer is incorrect, pls correct me!

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

-Chetan K

x/5=13
how do you solve for x​

Answers

Answer:

X=65

Step-by-step explanation:

X/5=13

X=13×5

=65

hope it helps!!!

Draw a line segment of length 6.4 cm and divide it in to 4 equal parts. Write the length of each part. (Draw clearly) ​

Answers

Answer:

The line drawn has a length of 6.4 cm.

Also it is divided into 4 equal parts.

Hence let the measure of the each equal part be ' x '

So x * 4 parts = 6.4 cm

=> x = 6.4 cm / 4

=> x = 1.6 cm

Hence the measure of each equal part is 1.6 cm.

Hence solved !

Step-by-step explanation:

«
Use complete sentences to describe how simplifying expressions with multiple logarithms makes evaluating
expressions less complicated.

Answers

Step-by-step explanation:

bracket first in simplify

write -9.38 as a mixed number​

Answers

Answer:

-9/38/100=-9/19/50

hope it helps!!!!!

4. Write the equation of the line that
passes through (9,4) (0-5)

Answers

Answer:

Equation of line is y = x - 5

Step-by-step explanation:

general equation of a line:

[tex]y = mx + c[/tex]

m » slope

c » y-intercept

for the slope, m :

[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]

substitute in accordance of the points:

[tex]slope = \frac{ - 5 - 4}{0 - 9} = \frac{ - 9}{ - 9} \\ \\ m= 1[/tex]

for y-intercept :

[ consider point (0, -5) ]

[tex]y = mx + c \\ - 5 = (0 \times 1) + c \\ c = - 5[/tex]

Therefore, equation of line is

[tex]{ \boxed{y = x - 5}}[/tex]

1. If x = y and x + 2y = 6 then find value of 'y'.
T

Answers

Step-by-step explanation:

x=y

x+2y=6

y+2y=6

3y=6

y=2

Step-by-step explanation:

x=y

x+2y=6

y+2y=6

3y=6

y=2

4.) Which equations below have no solution? Select all that apply, and justify your response with work. a.) x - 9 = 2(x - 3) + 12 b.) 5(-2x + 7) + 3 = -10x + 38 1 c.) (6x - 4) = 3(x - 2) 1 d.) 0.01x + 0.001 = (x + 10) 100 e.) 3(x + 2) + 1 = x + 2(4 + x)​

Answers

Answer:  Equations (b) and (e) do not have solutions

Step-by-step explanation:  b)  The x cancels out (-10x + 35) = -10x + 318;  35 = 318???? NO.  e)  3(x + 2) + 1 = x + 2(4 + x)​;  3x + 7 = 3x + 8.  The x cancels out again.

The other s can be solved for x.

Hi! I'm happy to help!

To solve this, we need to simplify all of the equations. There are 3 ways equations like this can go, infinitely many solutions, 1 solution, or no solution. Infinitely many is something like 6=6, that could mean infinite solutions because 6 always equal 6, and would apply in infinitely many ways. (in the equation) One solution refers to something like x=6. This tells your exactly what x is, and that is your only solution. (for the equation) And no solution is something like 5=6, 5 will never equal 6, so that is no solution. (to the equation)

Now, let's start out with our first equation. To find if our equations have solutions or not, we need to simplify them. We do this by singling out x to see what the solution is (if there is one).

x-9=2(x-3)+12

We can multiply 2, by x and -3 inside of the parenthesis, to simplify:

x-9=2x-6+12

Since we have at least one x on both sides, we can subtract it to isolate it:

x-9=2x-6+12

-x    -x

-9=x-6+12

Combine -6 and twelve:

-9=x-6+12

-9=x+6

Now, we subtract 6 to fully isolate x:

-9=x+6

-6   -6

-15=x

We see we have 1 solution, so you should not pick option 1.

Second equation:

5(-2x + 7) + 3 = -10x + 38

We should first multiply the parenthesis:

-10x+35+3=-10x+38

Since we want to simplify, let's add 10x on both sides

-10x+35+3=-10x+38

+10            +10x

35+3=38

Add 35 and 3:

38=38

Since 38 will always equal 38, there are infinite solutions, and you should not pick option 2.

Third equation:

(6x - 4) = 3(x - 2)

Since there is nothing outside of the parenthesis (right side), we don't need them:

6x-4=3(x-2)

From here, multiply the parenthesis:

6x-4=3x-6

Subtract 3x from both sides:

6x-4=3x-6

-3x   -3x

3x-4=-6

Add 4 to both sides to isolate x:

3x=-2

Divide both sides by 3, to fully isolate x:

x=-[tex]\frac{2}{3}[/tex]

Since there is only 1 solution, you should not pick option 3.

Fourth equation: (not sure if the 100 is supposed to be there)

0.01x + 0.001 = (x + 10)

First, let's subtract 0.01x from both sides:

0.001=9.99x+10

Then, we subtract 10 from both sides to start isolating x:

-9.999=9.99x

Then, we divide both sides by 9.99:

        ______

1.000900900=x

Kind of a weird number, but regardless, you should not pick option 4, because it has 1 solution.

Fifth equation:

3(x + 2) + 1 = x + 2(4 + x)​

First, let's multiply the parenthesis on both sides:

3x+6+1=x+8+2x

Combine like terms:

3x+7=3x+8

Subtract 3x from both sides:

7=8

7 will never equal 8, there will be no solution, and you should pick option 5.

You should pick option e, because it has no solution.

I hope this was helpful, keep learning! :D

If other factors are held constant, how does sample size influence the likelihood of rejecting the null hypothesis and measures of effect size such as r^2 and Cohen's d?A) A larger sample increases both the likelihood and measures of effect size.B) A larger sample increases the likelihood but has little influence on measures of effect size.C) A larger sample decreases the likelihood but has little influence on measures of effect size.D) A larger sample decreases both the likelihood and measures of effect size.

Answers

Answer:

2000

Step-by-step explanation:

What is the slope of a line with the equation y-2=-3/4(x+5)?

Answers

Answer:

Gradient: m = -3/4

Step-by-step explanation:

Please view the PDF attached for full step by step explanation

616÷2=308. I got 38 instead of 308 when solved with long division​

Answers

Answer:

U forgot to add zero while dividing

Help!! Truth Table

Thank you!!

Answers

Answer:

Step-by-step explanation:

[tex]\begin{array}{c|c|c|c|c}p&q&r&p \vee q&(p \vee q)\ =>\ r\\---&---&---&---&------\\T&T&T&T&T\\T&T&F&T&F\\T&F&T&T&T\\T&F&F&T&F\\F&T&T&T&T\\F&T&F&T&F\\F&F&T&F&T\\F&F&F&F&T\\---&---&---&---&------\\\end{array}[/tex]

PLssssssss helppppppppppppppppppppppp

Answers

Answer:

6 ft

Step-by-step explanation:

What’s the answer ASAP

Answers

Answer:

none

Step-by-step explanation:

38×2=76

43×2=86

45×2=90

Jonathan drinks four and three sixths cups of water in the morning and three and two sixths in the evening. How much did Jonathan drink in all?

Answers

Answer:

2 cups

Step-by-step explanation:

3 + 3 = 6 (one cup)

4 + 2 = 6 (two cups)

Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?​

Answers

Answer:

they travel 115 km/h long


A wire 24 inches long is to be cut into four pieces to form a rectangle with one side of length x. Write the area A of the rectangle as a function of x.

Answers

Answer:

If the function is the Area, then Area = length*width = x*(12-x) = 12x - x^2Domain is x>0, since you can't have a rectangle with negative length.

0 < x<6, If x is 7 then width would be 5, but x must be shorter

Step-by-step explanation:

Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.

Answers

Answer:

Step-by-step explanation:

M=189

N = 48

A = M*N

A = 189 * 48

A = 9072

Solve for X: 2^3x + 1 = 2^10

please look at photo and give detailed steps!! thank you

Answers

Step-by-step explanation:

since the bases are the same all you have to do is just get the powers of both bases which is 3x + 1 and 10

you're then going to equate 3 x + 1 to 10 and then you have to make +1 cross to the other side making it become -1

you then can subtract 1 from 10 leaving you with 9

and at the LHS we have 3x

we are gonna get rid of the three by dividing it into itself and the 9 at the RHS then X = 3

Slope-Intercept Form
Directions: Re-write the equation of
the line in slope-intercept form.
Slope must be in simplest/fraction
form. Do NOT put any spaces in
your answer.
Standard Form
2x+y=8
3x-y=7
5x+2y=8
4x+3y=9
X-y=0
x+4y=16
4x-3y=6
x+2y=-10
x+y=3
3x-2y=9

Answers

(Please vote me Brainliest if this helps!):

y = -2x + 8y = 3x - 7y = [tex]-\frac{5}{2}x[/tex] + 4y = [tex]-\frac{4}{3}x[/tex] + 3y = x + 0y = [tex]-\frac{1}{4}x[/tex] + 4y = [tex]\frac{4}{3}x[/tex] - 2y = [tex]-\frac{1}{2}x[/tex] - 5y = -x + 3y = [tex]\frac{3}{2}x - \frac{9}{2}[/tex]

1. Write the following numbers in the expanded form:
(i) 20.03
(ii) 200.03
(iii) 2.034​

Answers

Answer:

(I). 20.03:

[tex] = 2.003 \times {10}^{1} [/tex]

(ii). 200.03

[tex] = 2.0003 \times {10}^{2} [/tex]

(iii). 2.034

[tex] = 2.034 \times {10}^{0} [/tex]

Wastewater is filling barrels at the rate of 11 quarts per hour. The recycling facility picks up 120 full barrels on each trip, and each barrel holds 12 quarts of wastewater. How many days are between each pickup?

Answers

Answer:

There are 6 days between each pick up days.

Step-by-step explanation:

What is 2 2/15 - 1 2/3=
I ended up with 2 3/21
Really need help with this!

Answers

Answer:

[tex]2 \frac{2}{15} - 1 \frac{2}{3}[/tex]

[tex] = \frac{32}{15} - \frac{5}{3} [/tex]

[tex] = \frac{32 \times 1 - 5 \times 5}{15} [/tex]

[tex] = \frac{32 - 25}{15} [/tex]

[tex] = \frac{7}{15} [/tex]

A falcon flies 300 kilometers per hour. A goose flies 140 kilometers per hour. If a falcon and a goose each fly for 2 hours, how many more kilometers will a falcon fly?​

Answers

Answer:

320

Step-by-step explanation:

Distance covered by falcon in 2 hours=300*2=600 km

Distance covered by goose in 2 hours=140*2=280 km.

Falcon flew 600-280=320 km more than goose

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