Determine the value(s) for which the rational expression -3z+6/6z^2+14z-80 is undefined.

Answers

Answer 1

Answer:

[tex]z= 2 \ and \ z = \frac{-20}{3}[/tex]

Step-by-step explanation:

For the given expression to be undefined, it means that the denominator of the expression must be equal to zero

Hence;

[tex]6z^2+14z-80 = 0[/tex]

On factorizing:

[tex]6z^2+14z-80=0\\3z^2+7z-40 = 0\\3z^2-6z+20z-40 = 0\\3z(z-2)+20(z-2) = 0\\(3z+20)(z-2) =0\\(z-2)=0 \ and \ (3z+20)=0\\z= 2 \ and \ z = \frac{-20}{3}[/tex]


Related Questions

a test has 10 multiple-choice questions with 6 choices each, followed by 35 true/false questions. if a student guesses on each equation, how many ways can he answer the questions on the test

Answers

Answer:

6¹⁰×2³⁵

Step-by-step explanation:

he has 6 choices for the first multiple choice question.

and for each of those he had again 6 more choices to answer the second question. 6×6 = 36

so, for all 10 multiple choice questions he answer in

6¹⁰ different ways = 60466176 ways

then there are 35 true/false questions, which are Bausch again multiple choice questions but with only 2 options instead of 6.

so we get 2³⁵ different possibilities. a huge number.

and they're possible for each of the 60466176 ways of the multiple choice part.

so, in total we have

6¹⁰×2³⁵ different answer possibilities.

Which expression is equivalent to sqrt of (6x^5 z)^3/ 4x^4 z^2

Answers

Answer:

[tex]\frac{(6x^{5}z) ^{3} }{4x^{4} {z}^{2} } = \frac{216 {x}^{15}z^{3} }{4 {x}^{4} {z}^{2} } = \frac{4x ^{4} {z}^{2} (54x ^{11}z) }{4 {x}^{4} {z}^{2} } = 54 {x}^{11} z[/tex]

I hope I helped you^_^

please help me with this question!

Answers

I am un able to see the photo please re try so I can help

Multiply:

2 × (–21) × 7


A)

294

B)

–273

C)

–7

D)

–294

Answers

Answer:

[tex]2\times \left(-21\right)\times \:7[/tex]

PEMDAS order of operations:

[tex]2\times \left(-21\right)=-2\times \:21=-42[/tex]

[tex]=-42\times \:7[/tex]

[tex]=-294[/tex]

D) -294 is your answer

OAmalOHopeO

Use pemdas order & that’ll get you to your answer which is D) -294

Mr. Howe ate 1/3 of a pizza and then Mr. Kurt ate 1/8 of the same pizza. How
much of the pizza has been eaten? *

Answers

12/24

Step One: We need to convert 1/3 and 1/8 so both have the same denominator, so we need to find the a number that is able to be multiply by 3 and 8 for the process.

Step Two: 1/3 x 8= 8/24 and 1/8x3= 3/24

Step Three: Add our new fractions: 3/24+8/24= 12/24

Step Four: Subtract 12 by 24: 24-12= 12; our answer is 12/24 or half the pizza was eaten

I hope I've help!

A data set includes data from student evaluations of courses. The summary statistics are n=89​, x=3.44​, s=0.67. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.
What are the null and alternative​ hypotheses?
A.
H0​: μ=3.50
H1​: μ>3.50
B.
H0​: μ=3.50
H1​: μ<3.50
C.
H0​: μ≠3.50
H1​: μ=3.50
D.
H0​: μ=3.50
H1​: μ≠
(I also need the test statistic and p-value) thank you so much in advance :)

Answers

We're told that "the claim that the population of student course evaluations has a mean equal to 3.50". So this means μ=3.50 makes up the null H0

The alternative would be H1: μ ≠ 3.50 since it's the opposite of the claim made in the null.

We go with answer choice D to form the null and alternative hypotheses.

The sign ≠ in the alternative hypothesis tell us that we have a two tail test.

---------------------------------------

Let's compute the test statistic

z = (xbar - mu)/(s/sqrt(n))

z = (3.44 - 3.50)/(0.67/sqrt(89))

z = -0.84483413122896

z = -0.84

The test statistic is roughly -0.84

---------------------------------------

Despite not knowing what sigma is (aka the population standard deviation), we can see that n > 30 is the case. So we can use the Z distribution. This is the standard normal distribution. When n > 30, the T distribution is fairly approximately the same as the Z distribution.

Use a calculator or a Z table to determine that

P(Z < -0.84) = 0.2005

which is approximate

Because we're doing a two-tail test, this means we double that result to get 2*0.2005 = 0.401

The p-value is roughly 0.401

-----------------------------------------

Since the p-value is larger than alpha = 0.05, we don't have enough evidence to reject the null. So you can say that we fail to reject the null, or we accept the null.

The conclusion based on that means that μ=3.50  must be true (unless other evidence comes along to disprove this). In other words, the mean evaluation score from students appears to be 3.50

If f(x)=x-2 and g(x)=2x-6, then g(4)/f(3)

Answers

Answer:

2

Step-by-step explanation:

g(x) = 2x - 6

g(4) = 2*4 - 6

g(4) = 2

f(x) = x - 2

f(3) = 3 - 2

f(3) = 1

Thus g (4) / f (3) = 2 / 1 = 2

The value of the function g (4) / f (3) is 2.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

We are given the function as;

f(x)=x-2 and g(x)=2x-6, then we need to find g(4)/f(3)

Therefore, g(x) = 2x - 6

g(4) = 2*4 - 6

g(4) = 2

Similalry,

f(x) = x - 2

f(3) = 3 - 2

f(3) = 1

Thus we have the value of function as

g (4) / f (3) = 2 / 1

g (4) / f (3) = 2

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10 times as much as 9

Answers

Answer:

90

Step-by-step explanation:

10 x 9

=> 90

10 times 9 is 90.

Process control and acceptance sampling procedures are most closely related to _____. a. analysis of variance procedures b. hypothesis testing procedures c. interval estimation procedures d. linear regression procedures

Answers

b. hypothesis testing procedures

Use the formul

a (a+b)2=a2+2ab+b2 to expand the (4x+3y)2​

Answers

Answer:

[tex] {(4x + 3y)}^{2} \\ = {(4x)}^{2} + 2 \times 4x + 3y + {(3y)}^{2} \\ 16 {x}^{2} + 24xy + 9 {y}^{2} \\ thank \: you[/tex]

Express 18 hours to 2 days in its lowest term

Answers

Answer:

1 : 3

Step-by-step explanation:

We know that 1 days is 24 hours

2 days = 2*24 = 48 hours

16 hours : 48 hours

Divide each by 16

16/16 : 48/16

1 : 3

Answer:

[tex]3 : 8[/tex]

Step-by-step explanation:

[tex]18h : 2d \\ 18h : 2 \times 24h \\ 18 :48 \\ 3 : 8[/tex]

How much state tax is withheld from $36,200 if the tax rate is 4%?

Answers

Answer:

$1448

Step-by-step explanation:

Tax=rate*amount=(4/100)*36200=1448

if a pendrive is bought for 1200 and sold at 25% profit find the profit amount​

Answers

Answer: Profit = $300

Step-by-step explanation:

Given information

Original Price = $1200

Profit rate = 25%

Given expression

Profit amount = Profit rate × Original price

Substitute values into the expression

Profit amount = 25% × 1200

Profit amount = $300

Hope this helps!! :)

Please let me know if you have any questions

Suppose that appearances of a foe to battle (that is, a random encounter) in a role-playing game occur according to a Poisson process, and the average rate equals one appearance per two minutes. Measured in minutes, the time T until the next encounter is Exponential with what rate parameter?

Answers

Answer:

Rate parameter of [tex]\mu = 0.5[/tex]

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

One appearance per two minutes.

This means that [tex]m = 2[/tex]

Measured in minutes, the time T until the next encounter is Exponential with what rate parameter?

[tex]\mu = \frac{1}{m} = \frac{1}{2} = 0.5[/tex]

So

Rate parameter of [tex]\mu = 0.5[/tex]

find the two intersection points

(x+1)^2 +(y+2)^2 = 16

3x+ 4y = 1
Show your steps please

Answers

Answer:

Our two intersection points are:

[tex]\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)[/tex]

Step-by-step explanation:

We want to find where the two graphs given by the equations:

[tex]\displaystyle (x+1)^2+(y+2)^2 = 16\text{ and } 3x+4y=1[/tex]

Intersect.

When they intersect, their x- and y-values are equivalent. So, we can solve one equation for y and substitute it into the other and solve for x.

Since the linear equation is easier to solve, solve it for y:

[tex]\displaystyle y = -\frac{3}{4} x + \frac{1}{4}[/tex]

Substitute this into the first equation:

[tex]\displaystyle (x+1)^2 + \left(\left(-\frac{3}{4}x + \frac{1}{4}\right) +2\right)^2 = 16[/tex]

Simplify:

[tex]\displaystyle (x+1)^2 + \left(-\frac{3}{4} x + \frac{9}{4}\right)^2 = 16[/tex]

Square. We can use the perfect square trinomial pattern:

[tex]\displaystyle \underbrace{(x^2 + 2x+1)}_{(a+b)^2=a^2+2ab+b^2} + \underbrace{\left(\frac{9}{16}x^2-\frac{27}{8}x+\frac{81}{16}\right)}_{(a+b)^2=a^2+2ab+b^2} = 16[/tex]

Multiply both sides by 16:

[tex](16x^2+32x+16)+(9x^2-54x+81) = 256[/tex]

Combine like terms:

[tex]25x^2+-22x+97=256[/tex]

Isolate the equation:

[tex]\displaystyle 25x^2 - 22x -159=0[/tex]

We can use the quadratic formula:

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

In this case, a = 25, b = -22, and c = -159. Substitute:

[tex]\displaystyle x = \frac{-(-22)\pm\sqrt{(-22)^2-4(25)(-159)}}{2(25)}[/tex]

Evaluate:

[tex]\displaystyle \begin{aligned} x &= \frac{22\pm\sqrt{16384}}{50} \\ \\ &= \frac{22\pm 128}{50}\\ \\ &=\frac{11\pm 64}{25}\end{aligned}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x_1 = \frac{11+64}{25} = 3\text{ and } x_2 = \frac{11-64}{25} =-\frac{53}{25}[/tex]

We have our two x-coordinates.

To find the y-coordinates, we can simply substitute it into the linear equation and evaluate. Thus:

[tex]\displaystyle y_1 = -\frac{3}{4}(3)+\frac{1}{4} = -2[/tex]

And:

[tex]\displaystyle y _2 = -\frac{3}{4}\left(-\frac{53}{25}\right) +\frac{1}{4} = \frac{46}{25}[/tex]

Thus, our two intersection points are:

[tex]\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)[/tex]

What is the minimum perimeter of a rectangle with an area of 625 mm^2

Answers

130 mm^2 your welcome

How many real solutions does this system of equations have? x2 +3 = y
3х — у+1 = 0

Answers

Answer:

Step-by-step explanation:

y = x²+3

y = 3x+1

x² + 3 = 3x +1

x² - 3x + 2 = 0

(x-2)(x-1) = 0

x = 2, 1

Two solutions

(2,7) and (1,4)

Solve for y 2y+1>-9/5y-6

Answers

Answer: All real numbers

Step-by-step explanation:

Let's find the critical points of the inequality.

2y2+1=

−9

5

y−6

2y2+1−(

−9

5

y−6)=

−9

5

y−6−(

−9

5

y−6)(Subtract (-9)/5y-6 from both sides)

2y2+

9

5

y+7=0

For this equation: a=2, b=1.8, c=7

2y2+1.8y+7=0

y=

−b±√b2−4ac

2a

(Use quadratic formula with a=2, b=1.8, c=7)

y=

−(1.8)±√(1.8)2−4(2)(7)

2(2)

y=

−1.8±√−52.76

4

Refer to this design web of a car manufacturer’s experiment. Which of the following statements are true? Check all that apply.

A confounding variable is the use of cruise control.
A confounding variable is the weather conditions.
A confounding variable is the participants’ reporting on their fuel efficiency.
There are no confounding variables in this experiment.
A confounding variable is the speed at which the participants drive on the course.

Answers

Answer:

2.3,5

Step-by-step explanation:

Both the 2nd and 3rd statement is true. Because of both statement is closely analyzed up during design process of automobile.

How do car manufacturers design cars?The process of creating the outside (and, to some degree, interior) of motor vehicles, such as cars, motorbikes, trucks, buses, coaches, and vans, is known as automotive design.Although a big team from many various disciplines, including automotive engineering, normally works on the functional design and development of a contemporary motor vehicle, design jobs are not always linked to educational requirements for professional- or chartered-engineer status. In this context, automotive design primarily focuses on improving the visual appeal or aesthetics of vehicles while also getting involved in the development of product concepts. Designers with degrees in industrial design or transportation design who have an artistic background often work in the field of automotive design professionally.

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3)
Write an inequality for the graph below. If necessary, use
<= for < or >= for.



Kinda stuck and running out of time

Answers

Answer:

Step-by-step explanation:

on a 25 square grid how many squares need to be shaded to make 60% shaded

Answers

Answer:

15 squares

Step-by-step explanation:

60/100 * 25 = 15

A(3, 7), B(5, 7), C(3-7), D(5, -7)
what is the area ?

Answers

Answer:

28 square units.

Step-by-step explanation:

This is a rectangle with sides (7 - (-7) and (5 - 3)

= 14 by 2

= 28 unit^2.

A scientist is studying the growth and development of an epidemic virus with a growth rate of 9% per month that has infected 3,124 people. If this rate continues, what will be the number of infected people in another 9 months? Round your answer to the nearest whole number.

Answers

Answer:

About 6,785 people will be infected about nine months.

Step-by-step explanation:

We can write an exponential function to represent the situation. The standard exponential function is given by:

[tex]\displaystyle f(x) = a(r)^x[/tex]

Where a is the initial value, r is the rate, and x, in this case, is the time that has passed in months.

3,124 people have already been infected. Thus, our initial value a = 3124.

And an additional 9% will be infected per month. Therefore, our rate r will be 1 + 9% or 1.09.

Hence, our function is:

[tex]\displaystyle f(x) = 3124(1.09)^x[/tex]

Then after nine months, the total amount of infected people will be f(9):

[tex]\displaystyle f(9) = 3124(1.09)^{(9)}[/tex]

Use a calculator:

[tex]\displaystyle f(9) \approx 6785[/tex]

About 6,785 people will be infected about nine months.

Answer:

7,022

Step-by-step explanation:

Find the remainder when f(x) = –2x3 + x2 - 4x + 1 is divided by x + 3.

Answers

Answer:

Step-by-step explanation:

The remainder when f(x) is divided by x + 3 would be 76.

What is remainder theorem for polynomials?

If there is a polynomial p(x), and a constant number 'a', then

[tex]\dfrac{p(x)}{(x-a)} = g(x) + p(a)[/tex]

where g(x) is a factor of p(x).

We have been given a function;

[tex]f(x) = -2x^3 + x^2 - 4x + 1[/tex]

We need to find the remainder when f(x) is divided by x + 3.

So, Let p(x) = x + 3

p(x) = 0

x + 3 = 0

x = -3

Substitute in the given function f(x);

[tex]f(x) = -2x^3 + x^2 - 4x + 1\\\\f(-3) = -2(-3)^3 + (-3)^2 - 4(-3) + 1\\\\f(-3) = 54 + 9 + 12 + 1\\\\f(-3) = 76[/tex]

Thus, the remainder when f(x) is divided by x + 3 would be 76.

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Hi I need help :( I can’t figure these out

Answers

Step-by-step explanation:

I do don't either ok wjshjddshsj

Answer:

Part A: A scatter diagram (Also known as scatter plot, scatter graph, and correlation chart) is a tool for analyzing relationships between two variables for determining how closely the two variables are related. One variable is plotted on the horizontal axis and the other is plotted on the vertical axis. The dots in a scatter plot not only report the values of individual data points, but also patterns when the data are taken as a whole. Identification of correlational relationships are common with scatter plots.

Part B: There are three types of correlation: positive, negative, and none (no correlation).

Part C: A scatter plot is a graph of points that show the relationship between two different pieces of data, while a line graph is a graph that shows information via a connected line.

Please mark me brainliest:))

Working at home: According to the U.S Census Bureau, 34% of men who worked at home were college graduates. In a sample of 500 women who worked at home, 170 were college graduates. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) Find a point estimate for the proportion of college graduates among women who work at home. Round the answer to at least three decimal places. The point estimate for the proportion of college graduates among women who work at home is .

Answers

Answer:

The answer is "0.340".

Step-by-step explanation:

[tex]n = 500\\\\x = 170[/tex]

Using formula:

[tex]\to \hat{p} = \frac{x}{n} = \frac{170}{500}=\frac{17}{50} =0.340[/tex]

For an ordered pair left parenthesis x comma y right parenthesis in a relation, the x element represents the

Answers

Answer:

the x éléments représente the domain

x represents the value on the x-axis and the coordinate is also known as abscissa.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

For an ordered pair left parenthesis x comma y right parenthesis in a relation that is (x, y).

Here x represents the value on the x-axis and the coordinate is also known as abscissa.

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A telephone call arrived at a switchboard at random within a one-minute interval. The switch board was fully busy for 10 seconds into this one-minute period. What is the probability that the call arrived when the switchboard was not fully busy

Answers

Answer:

50/60 = .8333=  83.33%

Step-by-step explanation:

The probability that the call arrived when the switchboard was not fully busy is 0.75.

What is Normal Distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

Given:

Here X follows uniform distribution with parameter a and b.

Where,

a = 0 and b = 1.

Then,

The density function of Y is given by:

P( 15 < Y ≤ 60)

or, P( 0.25 < Y ≤ 1)

So,  P( 0.25 < Y ≤ 1) = [tex]\int\limits^{1}_{0.25}{f(y) \, dy[/tex]

                                = [tex][y]^1 _ {0.25}[/tex]

                                = (1- 0.25)

                                = 0.75

Hence, The probability that the call arrived when the switchboard was not fully busy is 0.75.

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n rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=11, what is the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your answer.

Answers

*see attachment for clearer diagram

Answer:

16.5

Step-by-step explanation:

BC = 11

AB = 3

Area of the shaded region = area of ∆AEB + area of ∆CED

Area of a triangle is given as,

A = ½*base*height

Find the area of each triangle and add together

✔️Area of ∆AEB = ½*bh

Where,

base (b) = 3

height (h) = ½(BC) = ½(11) = 5.5

Area of ∆AEB = ½*3*5.5 = 8.25

✔️Area of ∆CED = ½*bh

Where,

b = 3

h = ½(BC) = ½(11) = 5.5

Area of ∆CED = ½*3*5.5 = 8.25

✅Area of the shaded region = area of ∆AEB + area of ∆CED

= 8.25 + 8.25

= 16.5

Which polynomial function is best represented by the graph?

ƒ(x) = –x(x – 1)4
ƒ(x) = x2(x + 1)3
ƒ(x) = x2(x – 1)3
ƒ(x) = x(x – 1)4

Answers

Answer: ƒ(x) = x2(x – 1)3

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