Use the quadratic formula to find the solutions to the equation.
3x^2-10x+5=0

Use The Quadratic Formula To Find The Solutions To The Equation. 3x^2-10x+5=0

Answers

Answer 1

Answer:

option a is correct by using quadratic formula


Related Questions

Create a quadratic equation in one variable of the form ax^2+bx+c=0 that meets the following criteria. A=1, b=0 , c=-100. 20 points.

Answers

Answer:

Equation is x^2-100=0

Step-by-step explanation:

I'm assuming everything is in standard form. Just plug in the values.

1(x)^2+(0)x+(-100)=0

0 times x is 0, so it simplifies to

x^2-100=0

what is the distance in the image below?

Answers

The distance is:

5 + 3 = 8 units

Since the segment is completely horizontal we need not to use formula for computing the length of a segment in 2D euclidean space.

Instead we can simplify the problem to a single dimension, only considering the x-coordinates of the endpoints of the segment.

The x-coordinates are -5 and 3.

Subtracting and applying absolute value yields the answer,

[tex]\mathrm{abs}(-5-3)=\boxed{8}[/tex].

Hope this helps.

Method of Least Squares, Evaluation of Cost Equation Lassiter Company used the method of least squares to develop a cost equation to predict the cost of moving materials. There were 80 data points for the regression, and the following computer output was generated:
Intercept $17,350
Slope 12.00
Coefficient of correlation 0.92
Standard error $220
The activity driver used was the number of moves.
Required:
1. What is the cost formula?
2. Using the cost formula, predictthe costofmovingmaterialsif340movesaremade.Nowpreparea95 percent con?dence interval forth is prediction.(Round to the nearest dollar.)
3. What percentage of the variability in moving cost is explained by the number of moves? Do you think the equation will predict well? Why or why not?

Answers

Solution :

1). The cost of the formula is given as :

   $ 19,350 + $12 x

2). 95% [tex]\text{confidence interval}[/tex] for the prediction is :

    [tex]$21430 - 1.96 \times 220 < \text{Yf} < 21430+1.96 \times 220$[/tex]

     [tex]$20998.8 < \text{Yf} < 21861.2$[/tex]

     [tex]$20999 < \text{Yf} < 21861$[/tex]    (rounding off)

3). r = 0.92

Therefore, [tex]$r^2 = 0.8464$[/tex]

That is 84.64 % of the variability in the moving cost is best explained by the number of moves.

prime factorization of a 4- digit number with at least three distinct factors
Need two examples. SHOW ALL STEPS

Answers

Answer:

We know that every number can be written as a product of prime numbers.

The method to find the factorized form of a number depends on the number, we just try to find the different factors by dividing by them, for example for the number 1000 we have:

1000 is an even number, then we can divide it by 2 (2 is a prime number)

1000 = 2*500   (so we already found a prime factor)

500 is also an even number, so we can divide it by 2

1000 = 2*500 = 2*2*250  (we found another prime factor)

dividing by 2 again we get:

1000 = 2*2*250 = 2*2*2*125

1000 = (2*2*2)*125

now we just need to factorize 125

we know that 125 is a multiple of 5, such that:

125 = 5*25 = 5*5*5

(5 is a prime number, so it is completely factorized).

Then the factorization of 1000 is:

1000 = (2*2*2)*(5*5*5) = 2^3*5^3

Now with another example, 1422

1422 is an even number, so we again start using the factor 2:

1422 = 2 = 711

then:

1422 = 2*711

we already found a factor.

711 is a multiple of 3 (the sum of its digits is a multiple of 3), then:

711/3 = 237

We can write our number as:

1422 = 2*3*237

237 is also a multiple of 3

237/3 = 79

then:

1422 = 2*3*3*79

and 79 is a prime number, so we already have 1422 completely factorized.

Solve the portion
6/x = 18/27

Answers

Answer:

x=9 answer...

Step-by-step explanation:

6/x=18/27162=18xx=162/18x=9

hope it helps.stay safe healthy and happy..

Answer:9

Step-by-step explanation: 18/6=3 so 27/3 should equal the answer. If u know ur multiplication, the answer would be 9

What is the solution to the system of equations below

Answers

Answer:

A

Step-by-step explanation:

1/2x-4=-2x-9...u vil get the ans

Ralph bought a computer monitor with an area of 384 square inches. The length of the monitor is six times the quantity of five less than half its width.

Complete the equation that can be used to determine the dimensions of the monitor in terms of its width, w.

Answers

Answer:

w= 103.5 inches

Step-by-step explanation:

384=w+3w-30

414=4w

w=414/4=103.5 inches

Answer:

first drop box 384

second drop box 3

third drop boc 30

384 = 3 [tex]w^{2}[/tex] – 30 w

Step-by-step explanation:

Correct answer on Plato/Edmentum test

Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

C

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Simplify this plz thanks

Answers

Answer:

[tex]\frac{1}{g^{5nd+10v+20dv} }[/tex]

Step-by-step explanation:

Which answers describe the shape below? Check all that apply.
A. Rectangle
B. Rhombus
C. Quadrilateral
D. Square
E. Parallelogram
F. Trapezoid

Answers

Answer:

E and C

Step-by-step explanation:

Assuming the probability of a single sample testing positive is 0.15​, find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely​ necessary?

Answers

Answer:

[tex]P(Positive\ Mixture) = 0.2775[/tex]

The probability is not low

Step-by-step explanation:

Given

[tex]P(Single\ Positive) = 0.15[/tex]

[tex]n = 2[/tex]

Required

[tex]P(Positive\ Mixture)[/tex]

First, we calculate the probability of single negative using the complement rule

[tex]P(Single\ Negative) = 1 - P(Single\ Positive)[/tex]

[tex]P(Single\ Negative) = 1 - 0.15[/tex]

[tex]P(Single\ Negative) = 0.85[/tex]

[tex]P(Positive\ Mixture)[/tex] is calculated using:

[tex]P(Positive\ Mixture) = 1 - P(All\ Negative)[/tex] ---- i.e. complement rule

So, we have:

[tex]P(Positive\ Mixture) = 1 - 0.85^2[/tex]

[tex]P(Positive\ Mixture) = 1 - 0.7225[/tex]

[tex]P(Positive\ Mixture) = 0.2775[/tex]

Probabilities less than 0.05 are considered low.

So, we can consider that the probability is not low because 0.2775 > 0.05

2•^4= ?

A) 1/16

B) 1/8

C) 1

Answers

Answer:

1/16.

Step-by-step explanation:

2^-4 = 1/2^4

= 1/16.

A person participates in a weekly office pool in which he has one chance in ten of winning the prize. If he participates for 5 weeks in succession, what is the probability of winning at least one prize.

Answers

The probability of winning at least one prize is 0.40951.

What is probability?

Probability is the likelihood that an event will occur.

The following information can be deduced:

P = probability of winning = 1/10

q = probability of not winning = 1- (1/10) = 9/10

x = no. of winning

then, p (x ≥ 1) = 1 - p (x < 1)

= 1 - p (x=0)

= 1 - ⁵C₀ (1/10)^⁰ (9/10)^(5-0)

= 1 - (1) (1) (9/10)^5

=  1 - (9/10)^5

= 1 - 0.59049

= 0.40951

Therefore, the probability is 0.40951.

Learn more about probability on:

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Imagine a couple who is ready to start a family. They plan to have exactly four children. Assuming no multiple births (twins, triplets, etc.), use the information provided in Pascal's triangle to determine how many different ways they may have exactly three boys and one girl (regardless of birth order).

Answers

Answer:

4 different ways

Step-by-step explanation:

Total number of children = 4

Distribution of the 4 children :

Number of boys = 3 ; Number of girls = 1

Boy = B ; Girl = G

Possible combinations :

BBBG ; GBBB ; BBGB ; BGBB

From the pascal triangle number of e; number of outcomes = 2

Having exactly 3 boys and 1 girl

Hence, of any of the 4 four total children, 3 must be boys and 1 girl ;

An employment agency specializing in temporary construction help pays heavy equipment operators $123 per day and general laborers $89 per day. If thirty-one people were hired and the payroll was $3507, how many heavy equipment
operators were employed? How many laborers?
The number of heavy equipment operators hired was
The number of general laborers hired was

Answers

Answer:

The number of operators is 22 and the number of laborers is 9

Step-by-step explanation:

This is a 2 line equation system

I'll call the laborers "L" and the equipment operators "E"

The first line of the system is pretty much telling me that the number of laborers plus the number of operators is 31:

L + E = 31

Now we need to calculate the money:

Since we know that laborers are paid $89 per day we're gonna multiply them by that. Same thing with the operator, but the value is now $123

89L + 123E = 3507

Our two line system is like this:

L + E = 31

89L + 123E = 3507

We need either L or E to be the same in both of the equations so that when I subtract one from another I can find the value of one of the variables

I'll choose L cause it's the lower number, so I'll multiply the upper equation:

L+E=31 === *89 ====> 89L + 89E = 2.759

Now we have these equations:

89L + 89E = 2.759

89L + 123E = 3507

Now I'm gonna subtract the lower equation from the upper one:

89L - 89L + 123E - 89E = 3507 - 2759

Since L is now zero it disappears, and by making the other calculations we have:

34E = 748

E = 22

Since E = 22, we can use the value in our first equation:

E+L=31 ===> 22+L=31 ===> L=9

Got it! The number of operators is 22 and the number of laborers is 9.

If you wanna double check this you can calculate the amount of money they're paid, which should add up to $3507:

22 operators * $123 = $2706

9 laborers * $89 = $801

2706+801 = $3507

We're good

If this helped you at all, would it be too much asking for brainliest?

I would really appreciate it

Have a great one

the law which states that the ratio of the sine of an angle to the side opposite it is constant is the

Answers

Answer:

The law which states that the ratio of the sine of an angle to the side opposite it is constant is the Law of Sines.

Step-by-step explanation:

The Law of Sines states that in any given triangle, the ratio of the length of any side to the sine of its opposite angle is the same for all three sides of the triangle and has a constant value.

The law which states that the ratio of the sine of an angle to the side opposite it is constant is the Law of sine.

Here,

We have to find, the law which states that the ratio of the sine of an angle to the side opposite it is constant.

What is Law of sine?

If A, B, and C are the measurements of the angles of an oblique triangle, and a, b, and c are the lengths of the sides opposite of the corresponding angles, then the ratios of the a side's length to the sine of the angle opposite the side must all be the same.

Now,

The law which states that the ratio of the sine of an angle to the side opposite it is constant is known as Law of sine.

Learn more about the Sine rule of law visit:

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Which of the following is an even function?
g(x) = (x – 1)2 + 1
g(x) = 2x2 + 1
g(x) = 4x + 2
g(x) = 2x

Answers

Answer:  Choice B

Consider that choice B is the same as saying 2x^2+1x^0.

The exponents 2 and 0 are both even, which is sufficient to say that the entire polynomial function itself is also even.

Something like choice A expands out and simplifies to x^2-2x+2, and that's equivalent to saying x^2+2x^1+2x^0. The presence of the x^1 term, with its odd exponent, is what makes choice A not even (it's not odd either).

Similarly, choices C and D also have exponents of 1, so they aren't even either.

Answer:

G(x)=2x2+1

Step-by-step explanation:

What is the y-intercept of y = 3x-
2?

Answers

Answer:

-2

Step-by-step explanation:

y = mx + b

y = 3x -  2

y-intercept = b

A chemical company makes two brands of antifreeze the first brand contains 65% pure antifreeze and the second brand contains 80% pure antifreeze in order to obtain 60 gallons of a mixture that contains 70% pure antifreeze how many gallons of each brand of antifreeze must be used

Answers

Answer:

30 gallons of each brand

Step-by-step explanation:

1 gallon of 60% + 1 gallon of 80% = 2 gallons 70% (60/2 = 30)

First the store raised the price of a pot by 20%. Then they announced a 20% discount on the pot. Is the customer going to pay more or less for the pot now than before.

Answers

Answer:

less

Step-by-step explanation:

An increase of 20% makes the price 120% of the original price.

A discount of 20% makes the discounted price 80% of the previous price.

Original price: x

20% increase in price: 1.2 * x

20% discount over the raised price: 0.8 * 1.2 * x

Now we multiply the numbers in the last expression and compare the result with x.

0.8 * 1.2 * x = 0.96x

0.96 is less than x, so the customer pays less than the original price.

PLEASE HELP ASAP! So the answer I got for this problem is 50.26. Can someone make sure that is the correct answer? Please let me know how to solve this problem if it is wrong.

Answers

Answer:

Step-by-step explanation:

every thing looks good,  except the question says  "round"   and soooooo,  if you are rounding to the 2nd decimal place,  then the next two decimal places are  54,      or  50.2654   so, to round that, round up , so your final answer would look like   50.27   :)  see?

9514 1404 393

Answer:

  50.24 inches  (or 50.2 inches)

Step-by-step explanation:

The formula for circumference in terms of radius is ...

  C = 2πr

Using the given values for radius and for pi, the circumference is ...

  C = 2(3.14)(8 in) = 50.24 in

__

Additional comment

If you use a more accurate value of pi, the rounded value is 50.27 in. That is not the value requested by this problem. It helps to follow directions.

If you like, you can round to 50.2, since only one decimal place is required in the result.

The measure of angle theta is 7x/6. The measure of its reference angle is _ °, and sin theta is _​

Answers

Answer:

30° and -1/2. This is pretty easy to do on a piece of paper but I recommend googling "unit circle" and clicking images, it tells you everything you need to know.

Step-by-step explanation:

what is completely factored form or this expression?

y^2-12y+32

a.(y+4)(y+8)
b.(y-4)(y-8)
c.(y+18)(y+2)
d.(y-18)(y-2)

Answers

Answer :)

[tex]\sf{y^{2}-12y+32 }[/tex]

[tex]\sf{y^{2}-(8+4)y+32 }[/tex]

[tex]\sf{y^{2}-8y-4y+32 }[/tex]

[tex]\sf{ y(y-8)-4(y-8) }[/tex]

[tex]\sf{(y-8)(y-4) }[/tex]

[tex]\sf{(y-4)(y-8) }[/tex]

[tex]\\\\\\[/tex]

Therefore

[tex]\sf{option~ B~ is ~correct }[/tex]

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

Answer:

(y-4) (y-8)

Step-by-step explanation:

y^2-12y+32

What two numbers multiply to 32 and add to -12

-8*-4 = 32

-8+-4 = -12

(y-4) (y-8)

The time between surface finish problems in a galvanizing process is exponentially distributed with a mean of 41 hours. A single plant operates three galvanizing lines that are assumed to operate independently. Round your answers to four decimal places (e.g. 98.7654).
(a) What is the probability that none of the lines experiences a surface finish problem in 41 hours of operation?
(b) What is the probability that all three lines experience a surface finish problem between 24 and 41 hours of operation?

Answers

Answer:

a) The probability that none of the lines experiences a surface finish problem in 41 hours of operation is 0.0498.

b)The probability that all three lines experience a surface finish problem between 24 and 41 hours of operation is 0.0346.

Step-by-step explanation:

[tex]Mean = \frac{1}{\lambda} = 41\\P(X\leq x)= 1-e^{-\lambda x}[/tex]

[tex]P(X>x)= e^{-\lambda x}[/tex]

a)

[tex]P(x> 41, y>41, Z>41) = (P(X>41))^{3}\\\\P(X>41)=e^{^{-\frac{41}{41}}}=e^{-1}[/tex]

[tex]P(x> 41, y>41, Z>41) = \left (e^{-1} \right )^{3}\\\\P(x> 41, y>41, Z>41) = e^{-3} = 0.0498.[/tex]

b)

[tex]\lambda =\frac{24}{41}\\P(X=1)=e^{-\lambda }\cdot \lambda =\left ( e^{-0.585} \right )\left ( 0.585 \right )\\P(X=1)=0.326[/tex]

For 3 where, P(X=1, Y==1, Z=1)

                     [tex]= (0.326)^{3} \\\\= 0.0346[/tex]

41:41
How many solutions does this linear system have?
y=-6x+2.
-12x - 2y = -4
O one solution: (0,0)
one solution: (1, -4)
O no solution
O infinite number of solutions
Answer is C

Answers

Answer:

Answer: B

Step-by-step explanation:

just solve keep up learning!

answer C
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After heating a fixed volume of gas at 50 psia from 300° R to 600°R, its pressure will be:

Answers

Answer:

100 psia

Step-by-step explanation:

Applying,

Pressure law,

P/T = P'/T'................. Equation 1

Where P = initial pressure, P' = Final pressure, T = initial temperature, P' = Final temperature.

make P' the subject of the equation

P' = PT'/T............ Equation 2

From the question,

Given: P = 50 psia, T = 300°R = (300×5/9)K = 166.66 K, T' = 600°R = (600×5/9)K = 333.33 K

Substitute these values into equation 2

P' = (50×333.33)/166.66

P' ≈ 100 psia

P ≈ 100 psia

A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that more than 47% do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.05 level to support the company's claim

Answers

Answer:

The p-value of the test is 0.015 < 0.05, which means that there is sufficient evidence at the 0.05 level to support the company's claim.

Step-by-step explanation:

The company's promotional literature claimed that more than 47% do not fail in the first 1000 hours of their use.

At the null hypothesis, we test if the proportion is of 47% or less, that is:

[tex]H_0: p \leq 0.47[/tex]

At the alternative hypothesis, we test if the proportion is of more than 47%, that is:

[tex]H_1: p > 0.47[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.47 is tested at the null hypothesis:

This means that [tex]\mu = 0.47, \sigma = \sqrt{0.47*0.53}[/tex]

A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use.

This means that [tex]n = 1300, X = 0.5[/tex]

Value of the statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.5 - 0.47}{\frac{\sqrt{0.47*0.53}}{\sqrt{1300}}}[/tex]

[tex]z = 2.17[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.5, which is 1 subtracted by the p-value of z = 2.17.

Looking at the z-table, z = 2.17 has a p-value of 0.9850

1 - 0.985 = 0.015

The p-value of the test is 0.015 < 0.05, which means that there is sufficient evidence at the 0.05 level to support the company's claim.

Which rule describes the transformation shown?

1. (x,y) → (-y, x+7)

2. (x,y) → (x+7,-y)

3. (x,y) → (-x, y+7)

4. (x,y) → (y+7, -x)

Answers

Answer:

2. (x,y) → (x+7,-y)

Step-by-step explanation:

Point A:

The original coordinate of point A was (-6,-6).

The coordinate after the transformation is A'(1,6), which eliminates option 3.

Point B:

The original coordinate of point B was (-2,4).

After the transformation, we have B'(5,-4), which eliminates option 1 and option 4. This means that the correct answer is:

2. (x,y) → (x+7,-y)

The following is a list of costs that were incurred in producing book:
a. Insurance on the factory building and equipment
b. Salary of the vice president of finance
c. Hourly wages of printing press operators during production
d. Electricity used to run the presses during the printing of the Book.
e. Sales commissions paid to book representatives for each book sold
f. Paper on which the text is printed
g. Book covers used to bind the pages
h. Straight-line depreciation on an office building
i. Salaries of staff used to develop artwork for the text
j. Glue used to bind pages to cover
Instructions: With respect to the manufacture and sale of this text, classify each cost as either a product cost or a
period cost. Indicate whether each product cost is a direct materials cost, a direct labor cost, or a factory overhead
cost. Indicate whether each period cost is a selling expense or an administrative expense.

Answers

its B Salary of the vice president of finance
Yep yep looks right

The diameter of one circle is represented by 12x. The diameter of another circle is represented by 6x2y what is the ratio of the radiu of the two circles. 2:x3y 2x:y x:2y 2:xy

Answers

9514 1404 393

Answer:

  (d)  2 : xy

Step-by-step explanation:

A common factor of 6x can be removed from the elements of the ratio. The ratio of radii is the same as the ratio of diameters.

  12x : 6x²y = (6x)(2) : (6x)(xy) = 2 : xy

Answer:D

Step-by-step explanation:

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