2/3 - 5bx = bx + 1/3 In the equation shown above, b is a constant. For what value of b = NO SOLUTIONS? A. 5 B. 0 C. -5 D. 2/5

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Here, we want to know at what values of b does the equation becomes not solvable

Now looking at the left hand side, we have;

2/(3-5bx) and also the right hand side bx + 1/3

For this expression if we insert b = 0, then automatically x cancels out on both sides of the equation and we shall be left with nothing to solve

Answer 2

Answer:

−5

Step-by-step explanation:

First, we observe that this is a linear equation.

A linear equation in one variable will have no solutions if the equation reduces to an equation of the form:

\blue a x+\red b=\blue c x + \red dax+b=cx+dstart color #6495ed, a, end color #6495ed, x, plus, start color #df0030, b, end color #df0030, equals, start color #6495ed, c, end color #6495ed, x, plus, start color #df0030, d, end color #df0030

where \blue a=\blue ca=cstart color #6495ed, a, end color #6495ed, equals, start color #6495ed, c, end color #6495ed and \red b\neq \red db

=dstart color #df0030, b, end color #df0030, does not equal, start color #df0030, d, end color #df0030.

In this case, the equation will reduce to the statement \red b=\red db=dstart color #df0030, b, end color #df0030, equals, start color #df0030, d, end color #df0030, which is not true for any value of xxx.

Hint #2

Since \red {\dfrac23}\neq \red {\dfrac13}

3

2

 

=

3

1

start color #df0030, start fraction, 2, divided by, 3, end fraction, end color #df0030, does not equal, start color #df0030, start fraction, 1, divided by, 3, end fraction, end color #df0030 , the equation will have no solutions if \blue b=\blue {-5}b=−5start color #6495ed, b, end color #6495ed, equals, start color #6495ed, minus, 5, end color #6495ed.

Let's check that this is the case. If we add \blue {5}{x}5xstart color #6495ed, 5, end color #6495ed, x to both sides, we get

\begin{aligned} \red{\dfrac23}\blue{-5}x&= \blue{-5} x+\red{\dfrac13}\\\\ \red{\dfrac23}\blue{-5}x+\blue5x&= \blue{-5}x+\blue{-5}x+\red{\dfrac13} \\\\ \red{\dfrac23}&=\red{\dfrac13} \end{aligned}

3

2

−5x

3

2

−5x+5x

3

2

 

=−5x+

3

1

=−5x+−5x+

3

1

=

3

1

which is not true for any value of xxx, so there are no solutions.

For all other values of b,b,b, comma there will be one solution.

Hint #3

If b=-5b=−5b, equals, minus, 5, the equation will have no solutions.


Related Questions

Max has 8 8 boxes of cans for a food drive. ​Each box has 17 17 cans. ​Max ​gives half of the boxes to his teacher. ​ ​Write an expression that ​represents the total number of cans in all the boxes that his teacher ​has. ​

Answers

Answer:

Total cans = 17 (4)

Step-by-step explanation:

If Max has 8 boxes and gives half of the boxes to his teacher, then the teacher has 4 boxes.

Now, the teacher has 4 boxes but each box has 17 cans inside. To represent how many cans the teacher has, we will need to multiply the number of boxes by the number of cans each box has,

Then, the Total number of cans = [tex]17(4)[/tex] = 68.

Thus, the expression that represents the total number of cans in all the boxes that the teacher has would be: Total cans = 17 (4)

Simplest form w^3-w(w^2+2w-1)+2w

Answers

Answer:

[tex] - 2 {w}^{2} + 3w[/tex]

Solution,

[tex] {w}^{3} - w( {w}^{2} + 2w - 1) + 2w \\ = {w}^{3} - {w}^{3} - 2 {w}^{2} + w + 2w \\ = - 2 {w}^{2} + 3w[/tex]

Some rules:

[tex]( + ) \times ( + ) \ = ( + ) \\ ( - ) \times ( + ) = ( - ) \\ ( + ) \times ( - ) = ( - ) \\ ( - ) \times ( - ) = ( + )[/tex]

Hope this helps...

Good luck on your assignment..

Find the distance between the points (4, 0) and (–3, 4).

Answers

Answer:

[tex]\huge\boxed{\sqrt{65}\approx8.062}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (4, 0) and (-3, 4).

Substitute:

[tex]d=\sqrt{(-3-4)^2+(4-0)^2}=\sqrt{(-7)^2+4^2}=\sqrt{49+16}=\sqrt{65}[/tex]

Pleas Help 9th grade work

Consider the reflectional symmetry of the shape.
How many lines of symmetry does the shape have?
2
3
4
5

Answers

Answer:

4.

Step-by-step explanation:

One line of symmetry is horizontal ( through the centre of the horizontal part of the cross).

Another is a vertical line through the centre of the vertical part.

Then there are 2 diagonal lines of reflectional symmetry.

The answer is 4 lines of symmetry

the sum of the digits of a two digit number is 7 if the digits are reversed the new number was increased by 3 equals 4 times the original number find the number​

Answers

Answer:

16

Step-by-step explanation:

61+3=64

16*4=64

64=64

PLEASE HELP WILL GIVE EXTRA POINTS
A study is performed involving two remedies for midwest farm crops who experienced the worst drought in years. In the midwest, 450 crop fields were given randomly one of two remedies. Specifically, 220 were given Remedy A and 230 were given Remedy B. A total of 74 of the 450 crop fields were salvageable, 35 from Remedy A group and 39 from Remedy B group.

A significance test was performed for the following hypotheses and resulted in a p-value of 0.3822:
H0: Salvage rates are the same for Remedy A and B
Ha: Remedy B has a greater salvage rate

Part A: Interpret the p-value in terms of the context.
Part B: Using a significance level of α = 0.05, what can you conclude from the context of this study?

Answers

Answer:

Part A

The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed  being equal to 0.3822

Part B:

Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B

Step-by-step explanation:

The p-value

The test statistic is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

[tex]\hat p_1[/tex] = 35/220 = 7/44

[tex]\hat p_2[/tex] = 39/230

[tex]\hat p[/tex] = 74/220 = 37/110

We get our test statistic z = -0.2996381

Part A

The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed  being equal to 0.3822

Part B:

Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B.

if the length is 4 inches, the width is 5 inches, and the height is 10 inches, what are the units for the volume

Answers

Answer:

Step-by-step explanation:

V=lwh=4*5*10=200 cubic inch or in^3

Change each of the following angles in degrees to angles in radians
(d) 〖150〗^0 (e) 〖240〗^0 (f) 〖300〗^0

Answers

Answer:

d: 2.6179, e: 4.1887, f: 5.2359 all in rad

Step-by-step explanation:

(d): 150°degrees

150° × π / 180°

= 0.83333333333π rad

= 2.6179 rad

(e):240°degrees

240° × π / 180°

= 1.3333333333π rad

= 4.1887 rad

(f): 300°degrees

300° × π / 180°

= 1.6666666667π rad

= 5.2359 rad

If all my stuff is correct please give me an 5/5 and a thanks. :)

For every 1000 hits a channel gets it makes £16 from ad revenue. How much will the channel make from each hit?

Answers

Hi there! Hopefully this helps!

The answer is: 0.016

Here is how I got that answer:

16/1000=0.016

Answer:

Step-by-step explanation:

£16÷1000=0.016p

The probability of pulling out a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answers

THIS IS THE COMPLETE QUESTION BELOW;

The probability of pulling a green marble out of a bag of colored marbles is 2:5. If you were to pull colored marbles out of the bag one at a time, and putting the marble back each time for 600 tries, approximately how many time would you select a green marble?? ( explanation too) 7th grade Math

Answer:

We would approximately pick a green marble 240 times

Step-by-step explanation:

Given from the question the probability of pulling a green marble out of a bag of colored marbles is 2:5

Let us denote the number of trials as X

Now the approximately number of times a green marble can be selected would be

=2/5 times

From the question we are given 600 trials

which implies our x=600

Therefore, the number of times we would pick a green marble is:

2/5 × 600 times

≈ 240 times

Therefore, we would approximately pick a green marble 240 times

If i make $8.00 per hour and work 6 hours a day 5 days per week how much would my check be bi-weekly?

Answers

Answer:

480$

Step-by-step explanation:

Bi-weekly means every other week. So it is 6 times 5, because u work 30 hours a week. Than 30 (hours) times 8 (money per hour). This is 240 a week. So 240 times 2 is 480.

This is about the domain and range. PLEASE HELP ME!

Answers

Answer:

[tex]\boxed{\mathrm{B}}[/tex]

Step-by-step explanation:

The domain is the set of all possible values for x (input).

There are no restrictions on x.

The domain is all real numbers.

The range is the set of possible values for y (output).

Let x = 0.

[tex]F(0)=5-(0)^2[/tex]

[tex]F(0)=5[/tex]

The maximum value of y is 5.

Let x = 50

[tex]F(50)=5-(50)^2[/tex]

[tex]F(50)=5-2500[/tex]

[tex]F(50)=-2495[/tex]

The minimun value of y is [tex]- \infty[/tex] from observation.

The values of x can be a negative number.

[tex]F(-5)=5-(-5)^2[/tex]

[tex]F(-5)=5-25[/tex]

[tex]F(-5)=-20[/tex]

The range of the function is less than or equal to 5 and greater than or equal to [tex]- \infty[/tex].

Write the answer using scientific notation.
(2 x 10^13)^-2

Answers

Answer:

2.5 * 10^-27.

Step-by-step explanation:

(2 x 10^13)^-2

= 2^-2 x 10^-26

= 1/2^2 x 10^-26

= 0.25 x 10^-26

= 2.5 * 10^-27.

━━━━━━━☆☆━━━━━━━

▹ Answer

2.5 x 10⁻²⁷

▹ Step-by-Step Explanation

(2 x 10¹³)⁻²

2⁻²(10¹³)⁻²

0.25 x (10¹³)⁻²

0.25 x 10⁻²⁶

2.5 x 10⁻²⁷

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

The water usage at a car wash is modeled by the equation W(x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.

Write a function, C(x), to model the water used by the car wash on a shorter day

Answers

Answer:

The second option.

Step-by-step explanation:

We are trying to find what is W(x) - D(x).

(4x^3 + 6x^2 - 11x + 7) - (x^3 + 2x^2 + 15)

= 4x^3 - x^3 + 6x^2 - 2x^2 - 11x + 7 - 15

= 3x^3 + 4x^2 - 11x - 8

This corresponds to the second option.

Hope this helps!

A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

What is an equation?

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The water usage at a car wash is modelled by the equation W(x) = 4x³ + 6x² − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The amount of decrease in water used is modelled by D(x) = x³+ 2x² + 15, where D is the amount of water in cubic feet and x is time in hours.

Now the amount of water is cut from the total water usage so to find out the new model c(x) we need to subtract the decrease in water from the total water usage.

We are trying to find what

C(x)  =  W(x)   -    D(x)

C(x)  =   (  4x³   +   6x²  −   11x   +  7, )  -  (  x³   +  2x²  +  15  )

C(x)   =   4x³  -  x²  +  6x²  -  2x³  - 11x  +  7  - 15

C(x)   =   3x³  +  4x²  -  11x  -   8

Therefore A function, C(x), to model the water used by the car wash on a shorter day will be 3x³ + 4x² - 11x - 8

To know more about equations follow

https://brainly.com/question/2972832

#SPJ5


A baker is making cookies. She uses 3 cups of flour for every 8 oz of chocolate chips
How many cups of flour are needed with 192 oz of chocolate chips?

Answers

Answer: 72cups

Step-by-step explanation:

there are 8oz in a cup, so 8oz x 3cups = 24oz

[tex]\\ \frac{24}{8} \ = \frac{x}{192} \\(24) (192) = 8x\\(3) (192) = x\\576=x\\[/tex]

[tex]\frac{576}{8} = 72cups[/tex]

The baker will need 72 cups of flour for 192oz of chocolate chips.

Draw a picture of the standard normal curve and shade the area that corresponds to the requested probabilities. Then use the standard normal table to find the following probabilities. Enter the probabilities as decimals. Enter the final answer only.
1.P(z>1.38)=
2.P(1.233.P(z<−0.42)=
3.P(z<−0.42)=
4. P(−2.645.P(z<3.04)=
5. P(z<3.04)
6.P(07.P(z>−2.43)=
7.P(z>−2.43)=

Answers

Answer:

(1) P (z > 1.38) = 0.08379

(2) P (z < - 0.42) = 0.33724

(3) P (z < 3.04) = 0.99882

(4) P (z > -2.43) = 0.00755

Step-by-step explanation:

(1)

Compute the value of P (z > 1.38) as follows:

[tex]P(z>1.38)=1-P(z<1.38)\\=1-0.91621\\=0.08379[/tex]

(2)

Compute the value of P (z < -0.42) as follows:

[tex]P(z<-0.42)=1-P(z<0.42)\\=1-0.66276\\=0.33724[/tex]

(3)

Compute the value of P (z < 3.04) as follows:

[tex]P(z<3.04)=0.99882[/tex]

(4)

Compute the value of P (z > -2.43) as follows:

[tex]P(z>-2.43)=1-P(z<2.43)\\=1-0.99245\\=0.00755[/tex]

In the diagram below, AB is parallel to cd what is the value of x?

Answers

Answer:

45 degrees

Step-by-step explanation:

corresponding angles have are equal

Helppp!!!! please!!!

Answers

Answer:

[tex]\boxed{Area = 32.5 mm^2}[/tex]

Step-by-step explanation:

Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where base = 13 mm, Height = 5 mm

Area = 1/2 (13)(5)

=> Area = 1/2 (65)

=> Area = 32.5 mm^2

Answer:

c. 32.5 mm²

Step-by-step explanation:

The equation for the area of a triangle is a=1/2bh. In this equation you basically multiply the length of the base of the triangle times the height of the triangle and divide that by 2 to get the area. So, you would take 13, the base, and multiply it by 5, the height to get 65. Then, you would divide that by 2 to get 32.5 mm².

Gabriela has dinner at a cafe and the cost of her meal is
$
45.00
$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a
15
%
15%15, percent tip.
What is her total bill including tip?

Answers

Answer: 51.75

Step-by-step explanation: 15 precent of 45 is 6.75

                                              Then add 45+6.75

Answer:

Her total including the bill will be $51.75

Step-by-step explanation:

15% of $45

= $6.75

$45 + $6.75 = $51.75

What is the area of the triangle below?
3
16
O A. 24 sq. units
O B. 19 sq. units
O C. 48 sq. units
O D. 16 sq. units​

Answers

Answer:

answer is 24

area of triangle=1/2 base*height

1/2*16*3=24

Answer:

24 sq. units

Step-by-step explanation:

Area of a triangle = Base x height ÷ 2

Base = 16

Height = 3

Therefore 16 x 3= 48 ÷2 = 24

I really hope this helps:)

Please solve part h you have to find thr value of x

Answers

Answer:

x=301

Step-by-step explanation:

first thing you must know the sum of angle

for this question the polygon has 6 sides (if you connect B and D)

so based on formula (n-2)×180; n is number of side

(6-2)×180=720

so the sum of angle in the polygon is 720

to find x you just need to subtract 720 with all the angle given in the diagram. (and don't forget the 90 degree that made from connected line B and D)

x=720-118-87-34-90-90

x=301

Identify the fallacies of relevance, weak induction, presumption, ambiguity, and illicit transference committed by the following arguments, giving a brief explanation for your answer. If no fallacy is committed, write "no fallacy." When I visited Dr. Ames about my cholesterol, she insisted that I go on a statin drug. She says everybody should be on a statin. And when I saw Dr. Collins for depression, he prescribed Prozac. And when the Prozac gave me nausea, he prescribed Zofran to stop the nausea. Doctors are all the same. They all take their orders from the pharmaceutical industry.

Answers

Answer:

Hasty generalization fallacy

Step-by-step explanation:

Fallacy can be said to be a reasoning which leads to the wrong interpretation of a statement or an argument. Although some people intentionally make fallacious statements just to score cheap points or to please the listening audience, but some make fallacious unknowingly, either due to carelessness or by being lackadaisical.

In this case the writer, without enough investigation and proof, comes to a very hasty conclusion that "all doctors are the same". This is termed a hasty conclusion because the writer only had dealings with just two docotors(Dr. Ames and Dr. Collins). So saying all doctors are the same just because of two instance is a rather rash statement.

Therefore, the fallacy commited by the writer here is a fallacy of hasty generalization.

Hasty generalization fallacy occurs when someone has a limited information on a population but makes a conclusion based on a larger population than he/she should.

x+2y=8 under it is x-3y =6 solve it using simultaneous equation,substitution method.​

Answers

Answer:

Step-by-step explanation:

x +2y = 8  ----- (I)

 x = 8 - 2y

x - 3y = 6 -------(II)

Substitute x = 8 - 2y in equation (II)

8 - 2y - 3y = 6    {add like terms}

8 - 5y = 6

Subtract 8 form both sides

 -5y = 6- 8

 -5y = -2

Divide both sides by -5

 -5y/-5 = -2/-5

y = 2/5

Substitute y = 2/5 in equation (I)

[tex]x+2*\frac{2}{5}=8\\\\x+\frac{4}{5}=8\\\\x=8- \frac{4}{5}\\\\x=\frac{8*5}{1*5}-\frac{4}{5}\\\\x=\frac{40}{5}-\frac{4}{5}\\\\x=\frac{36}{5}[/tex]

x = 36/5

The product of a number and its inverse is 1. Represent it in algebraic form.

Answers

Answer:

Step-by-step explanation:

Hello

first of all we assume that this number is different from 0 as dividing by 0 is not allowed

let's not n this number

its inverse is

[tex]\dfrac{1}{n}[/tex]

and we can write

[tex]n*\dfrac{1}{n}=1[/tex]

hope this helps

Answer:

x * 1/x = 1

Step-by-step explanation:

Let x be the number

1/x is the inverse

x * 1/x = 1

Stephanie wants to buy 's' tomato plants, and Diego wants to by 'd' tomato plants. Each plant costs $7. Stephanie will use a coupon that will give them $25 off the total cost of all their plants. Which expression represents the total cost of all the plants with the discount? *

Answers

Answer:

7·(s + d) - 25

Step-by-step explanation:

if each plant cost $7

and there are two plants so its 7 times (s+d)

and then the discount so its -25

hope this helps

como resuelvo este ejercicio de matematica x +824 = 6 789 en propiedad uniforme

Answers

estero que esto de ayudo

what is an slope? like in general

Answers

Answer:

A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface

Step-by-step explanation:

Question 23 HELP ME PLEASE Write an equation in slope-intercept from for the parallel to y=3x-2 that passes through the point (5,-2). Type your equation in form y=mx+b

Answers

Answer:

y = 3x - 17

Step-by-step explanation:

Parallel lines have the same slope so the equation would be y = 3x + b

plugging in the points you get -2 = 3(5) + b

this is -17 = b

s the ordered pair (6, 5) a solution to the equation 3x − 4y = −2?

Answers

Answer:

Yesh.

Step-by-step explanation:

3x - 4y = -2

3 * 6 - 4 * 5 = -2

18 - 20 = -2

-2 = -2

So, the ordered pair is a solution to the equation.

Hope this helps!

Answer:

Yes, it is

Step-by-step explanation:

If you add in the numbers, you get

(3*6)- (4*5)=-2.

then solving it, you get

18-20= -2

which is correct. (18-20 IS -2)

so, the ordered pair is a solution to the problem. Hope this helps :)

Find the following information using the given image.

Answers

Answer:2.9

3

Step-by-step explanation:

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