For what value of k does the equation 6(x+1)+2 = 3(k/5x + 1) +3 have no solution

Answers

Answer 1

This one is an interesting question.

Lets solve first the equation by isolation of the unknown x:

6x + 6 +2 = (3k / 5x )+3 +3

6x = (3k/5x) + 6 -6-2

6x = (3k/5x) -2

6x = (3k / 5x) - (10x / 5x)

6x = (3k-10x)/5x

6x*5x = 3k - 10x

30x² = 3k - 10x

30x² + 10x = 3k

30x² + 10x - 3k = 0

This is really interesting because this looks exactly like a polynomial function. So we know that there is no solution for a polynomial once the discriminant delta is strictly less than 0.

But delta = b² - 4ac where b = 10, a = 30 and c = -3k

So we need to solve delta < 0

100 - 4*30* (-3k) < 0

100 - 120*(-3)*k < 0

100 - (-360)k < 0

100 + 360k < 0

360k < -100

k < -100/360= -10/36

So there is no solution for all k strictly less than -10/36

Good luck


Related Questions

You have a recipe that indicates to use 6 parts of sugar for every 5 parts of flour. You use 24 cups of sugar. How much flour do you need?

Answers

I dunno tbh;-; soooooo I hope this helps
20 parts of flour

Because if you use 24 cups of sugar divide that by 6 resulting 4, which indicates that you used 6 parts 4 times, the multiply 5x4 giving you 20 which is how much flour you need

solve pls brainliest

Answers

Answer:

Ture

Step-by-step explanation:

.5/.2 = 2.5

1/.4 = 2.5

1.5/.6 = 2.5

The answers are all the same after we divide each x values to the y values.

Hope this is helpful.

Answer:

True

Step-by-step explanation:

.5/.2 = 3.5

1/.4 = 2.5

1.5/.6 = 2.5

the answer is all the same after we devide each x values to the y values.

Which graph is right?

Answers

Answer:

top one

Step-by-step explanation:

You are not including -2 (else it would be a greater or equal sign) so the dot has to be empty. You can rule out the middle options.

At this point you either remember that "greater than" means "to the right of" or you pick a convenient number, ie, 0. see that your inequality is true (zero is greater than -2) and you pick the graph where the solid line includes 0.

In the figure, parallelogram PQSR and Triangle PQT are standing
on the same base and between, the same parallel lines. The
area of triangle PQT is 50 cm?. Find the area of Triangle PRS.

Answers

Answer:

50 cm²

Step-by-step explanation:

We know that PQRS is a paralleogram so we know that RS = PQ.

We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²

Hi can u help me with my hw

Answers

Answer:

c) difficult

Step-by-step explanation:

1) w = 14/3

Steps:

1) Multiply the numbers

5w - 8/3 = 4w + 2

2) Add 8/3 to both sides of the equation

5w - 8/3 + 8/3  = 4w + 2 + 8/3

3) Simplify

A. Add the numbers

5w = 4w + 2 + 8/3

B. Add the numbers

5w = 4w + 14/3

4) Subtract 4w  from both sides of the equation

5w - 4w = 4w +14/3 - 4w

5) Simplify

A. Combine like terms

1w = 4w + 14/3 - 4w

B. Multiply by 1

w = 4w + 14/3 - 4w

C. Combine like terms

w = 14/3

2) ( x - 7 ) ( x + 7 )

Steps:

1) Use the sum-product pattern

x² + 7x - 7x - 49

2) Common factor from the two pairs

x (x + 7)  = 7 (x + 7)

3) Rewrite in factored form

(x-7) (x+7)

3) [tex]3x^{4} y^{\frac{3}{2} }[/tex]

Steps:

[tex]9^{\frac{1}{2} }( x^{8} )^{\frac{1}{2} (y^{3} )\frac{1}{2}[/tex]

Markups
1 A popular gaming console that retails for $299,
was sold out for quite some time. Jake finally
found it on a resale platform, but it was marked
un 40%.
point
mould he used to find the price of

Answers

Answer:

418.6

Step-by-step explanation:

you set the price to equal 300 dollars, so marking up 40% would equal taking 300 x 1.4

this equals 420, however you need to substract 1.4 because you rounded 299 to 300 giving 418.6

Answer:

299 ×40%=119.6

so the final price is 299+119.6=418.6

How do I solve this?

Answers

Answer:

Step-by-step explanation:

Could somebody help me with this problem

Answers

Answer:

  72.8 cm³

Step-by-step explanation:

The relevant formula is ...

  V = Bh

Using the given values, you find the volume to be ...

  V = (10.4 cm²)(7 cm) = 72.8 cm³

wHICH ONE IS BETTER!!!!!!!!??????????????

Answers

red car is the best for suree

please help, please and ty.

Answers

Answer:

l.y=4

m.y=-2x+4

n.1x-1

p.x=-4

Step-by-step explanation:

The equations of the lines given in the graph will be,

y = x - 1

y = -2x +4

y = 4

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

For line one the points are:-

( 3,2 ) and ( 1,0)

Slope = ( 0 -2 ) / ( 0 - 3 )

Slope = 1

The equation will be,

y = x + c

0 = 1 + c

c = -1

For line two the points are:-

(0,4) and (2,0),

Slope = ( 0 - 4 ) / ( 2 - 0 )

Slope = -2

The y-intercept will be,

y = mx +c

y = -2x + c

c= 4

The equation can be written as:-

y = -2x +4

The equation of the line parallel to x-axis is,

y = 4

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

ANSWER QUICKLY
will give brainliest

Answers

Answer:

i only have 1

Step-by-step explanation:

Answer: Ok

Step-by-step explanation:

Answer these questions

Answers

Answer:

y < 5

Step-by-step explanation:

Subtract 22 from both sides.

7y < 5y + 12 - 2

7y < 5y + 12 − 2

2 Simplify  5y + 12 - 25y + 12 − 2  to  5y + 105y + 10.

7y < 5y + 10

7y < 5y + 10

3 Subtract 5y5y from both sides.

7y - 5y < 10

4 Simplify  7y - 5y7y − 5y  to  2y.

2y<10

Divide both sides by 22.

y < 10/2

 

Then Simplify 10/2 to 5

y < 5

find the length of segment AB

Answers

Answer:

E. 214

Step-by-step explanation:

Since the other angles of the triangle are congruent, and separated creates 2 right triangles, this means that segment (because i cant put the actual names for some reason) A to F and segment F to B are equal

8x - 37 = 5x + 17

3x = 54

x = 18

Now substitute to check

8(18) - 37 = 5(18) + 17

107 = 107

So if this is true, to find the segment A to B, just add segments A to F and F to B together

107 + 107 = 214

The length of segment AB is 214

pls help asap MIDSEGMENTS

Answers

Answer:

RT and KS

Step-by-step explanation:

isosceles triangle

The FM radio station KAMB broadcast from an antennae atop a 150 meter tall radio tower at a frequency of 90 MHz with a total radiated power of 40 kilowatts. Neighbors have complained about problems they attribute to excessive radiation from the tower, but the city engineer who measured the radiation level near the base of the tower found it to be well below the accepted standard. You have been hired by the HOA to assess the engineer's report. You know a few things about electromagnetic radiation and therefore conclude that we must find the optimum place on the ground to measure the maximum radiation emitted from the antennae. From your extensive knowledge in physics, you know that the intensity of radiation, I, is given by the formula:
I=12/32π*Psin2(θ)/r^2
where P is the power output, r is the distance from the top of the tower to the point on the ground, and θ is the angle measured from the tower to r.

Find the distance R from the base of the tower to the optimum location for taking the radiation reading. (m)
What is the maximum radiation reading from the ground in kw/m^2
If the city code requires that electromagnetic radiation be under 200 microwatts per square meter, is this antenna operating within city code? Yes or No

Answers

Answer: 150 m, 5.305*10^-5 kW/m^2, No

Step-by-step explanation:

See attachment, hope this helps

Using the radiation intensity formula we will have to:

a) [tex]150 m[/tex]

b) [tex]5.305*10^{-5} kW/m^2[/tex]

c)No

From the data informed, we have:

[tex]h=150m\\P=40KW[/tex]

Using the given formula and performing some mathematical operations:

[tex]I=\frac{12Psin^2(\theta)}{32(\pi)r^2} \\I= \frac{12(40)(R/r)^2}{32(\pi)r^2} \\= \frac{15R^2}{r^2\pi } \\= \frac{15R^2}{(R^2+150^2)^2\pi} \\[/tex]

deriving the given equation, we will have:

[tex]=\frac{(R^2+150^2)^22R-R^2(2(R^2+150^2))2R}{(R^2+150^2)^2}[/tex]

So from this equation we have that the answer of the letter A corresponds:

[tex]R=150[/tex]

For letter B we will have to develop this equation:

[tex]I= 5.30X10^{-5}[/tex]

As for the letter C, when converting the value found, it should give 200 microwatts, which is false.

Learn more: brainly.com/question/10148635

What is the midpoint of KL?

Answers

Answer:

Find the midpoint between the two points.

(4,4),(-1,2)

Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?

Answers

Step-by-step explanation:

12 to 39 divide each by 3

4 to 13 is the simpliest ratio

identify an equation in point-slope form for the line perpendicular to y = 2x + 8 that passes through (-3,9)​

Answers

Answer:

y - 9 = m(x + 3)

Step-by-step explanation:

Given a line whose slope is m, the slope of a new line that is perpendicular to the given line is the negative reciprocal of m:  -1/m

Given y = 2x + 8, we see that the slope is 2 and figure that the negative reciprocal of that is -1/2.  This is the slope of the desired perpendicular line.

We can write the equation of this perpendicular line most easily by using the point-slope form y - k = m(x - h), where (h, k) represents the point:

y - 9 = m(x + 3)

85/8 rounded to the nearest tenth

Answers

Answer:

85/8 = 10.625

= 10.6

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

does anyone know how to solve this

Answers

Answer:

46

240

Step-by-step explanation:

Substitute the given values for the variables, and evaluate the expressions.

1.

n = -5; m = 4

2n² - m = 2(-5)² - 4 = 2(25) - 4 = 50 - 4 = 46

2.

H = 60; Q = 40; V = 10

HQV/100 = (60)(40)(10)/100 = 6(4)(10) = 240

Answer:

46

240

Step-by-step explanation:

1) Put n = -5 and m = 4 into the equation, you'll then have;

2(-5)²-4

2(25)-4

50-4=46

2) Put H=60, Q=40 and V=10 into the equation, then you'll have that;

(60×40×10)/100

24000/100

=240

What is the estimated total of 674, 692, 724, and 739?

Answers

Answer:

2800 is a good estimate

Step-by-step explanation:

Rounding to the nearest hundred

674 = 700

692 = 700

724 = 700

739 = 700

700+700+700+700 = 2800

a hiking trail marks every 1/4 of mile along the path if the trail is 22 miles how many markers will the trail have?

Answers

Answer:

88 markers long just take 22 and divide it by .25

Kaitlin,Tony y David tienen un total de 77 en sus bolsillos. Tony tiene $7 menos que Kaitlin. David tiene 2 veces lo que Kaitlin tine¿cuanto dinero tiene cada uno?

Answers

Answer: Tony has 70

kaitlin has 77 david has 79

Step-by-step explanation:

i hope this helped im not sure if this is right i tried to do the math but pls leave a thanks if helped

(A) Find the dimensions of the rectangle with area 324 square inches that has minimum perimeter, and then find the minimum perimeter.

Answers

A = L*w

324 = L*w

324/w = L

P = 2*( L + w)

= 2 * ( 324/w + w)

= 648/w + 2w

= (648 + 2w^2)/w

Anyone know how to answer this

Answers

Answer:

21

Step-by-step explanation:

The average rate of change of function f(x) from x = a to x = b is

[tex] \dfrac{f(b) - f(a)}{b - a} [/tex]

Here we have

a = -1

b = 2

f(a) = f(-1) = 1

f(b) = f(2) = 64

[tex] \dfrac{f(b) - f(a)}{b - a} = [/tex]

[tex] = \dfrac{f(2) - f(-1)}{2 - (-1)} = [/tex]

[tex] = \dfrac{64 - 1}{2 + 1} [/tex]

[tex] = \dfrac{63}{3} [/tex]

[tex] = 21 [/tex]

Evaluate the following formula for

Please help
I will mark as brainliest if its correct :)



NO LINKS YOU WILL BE REPORTED AND BANNED MARK MY WORD

Answers

Answer:

Step-by-step explanation:

Using provided formula and filling in the variables:

z = [tex]\frac{(0.6-0.7)-(0)}{\sqrt{\frac{0.615782*0.384218}{88}+\frac{0.615782*0.384218}{82} }}[/tex]

Filling in in calculator:

z ≈ -1.34

7200(3)2t+2 write an equivalent function of the form W(t)=ab^t

Answers

im sorry i dont understand what u r asking but here is what i think u are asking?

43200t+2?

A curve has the equation y = x^3 – 3x + 2

Find the coordinates of the two turning points. Please help ❤️

Answers

Answer:

PLEASE MARK ME BRAINLIEST!!!

Step-by-step explanation:

moddedcraftxdepic

02/28/2021

Mathematics

High School

answered

Y= x^3 + 8x^2 +5x

work out the coordinates of the two turning points 1  

Why cant it sign me in at this time im to young or sum like im 11, sorry i just need help and quick i really think this is a rare app and it will make me fly through my work and plus i have a lot to do

Answers

Answer:

well if you managed to ask this question then you're signed in. but maybe next time you might wanna lie your age...

I need help finding surface area

Answers

Answer:

[tex]603.2km^{2}[/tex]

Step-by-step explanation:

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