Bob owns a watch repair shop. He has foundthat the cost of operating his shop is given byc=2x2-192x+54, where c is cost and x is thenumber of watches repaired. How manywatches must he repair to have the lowestcost?

Answers

Answer 1

The solution for the quadratic equation, c(x) = [tex]2x^{2} -192x+54[/tex] is +48.

Bob must repair 48 watches to have the lowest cost.

What is axis of symmetry?

The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form.

We have, c(x) = [tex]2x^{2} -192x+54[/tex]

As we know the axis of symmetry, using the formula:

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

In the above equation a = 2; b = -192

x = [tex]\frac{-(-192)}{2 * 2}[/tex]

x= [tex]\frac{192}{4}[/tex]

x = +48

Hence, the number of watches for lowest cost bob must sold is 48 watches.

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Related Questions

Stefon is paid $25 to mow a lawn. This amount is $4 less than twice the amount he received when he first began mowing. Use the model to determine x, the amount Stefon received when he first began mowing

Answers

Answer:

He used to receive $14.50.

Step-by-step explanation:

Let x = amount he used to receive.

Now he receives 2x - 4.

Now he receives $25.

2x - 4 = 25

2x = 29

x = 14.5

Answer: He used to receive $14.50.

Answer:14.5

If you want a full step explanation:   https://brainly.com/question/19345016            

before his shopping spree, Ahab owned 11 hats. Then he bought 33 more hats. what is the ratio of hats purchased to the resulting total number of hats.

Answers

Answer: 3:4
First step: 33 hats are purchased
Second step: for total number of hats you would do 33+11=44
Third step: simplify the ratio 33:44 —> 3:4

Please do help me with this math problem.

Answers

y = -1/6 x+1


Y= (slope)x + y- intercept
Slope is decreasing by -1/6

What is 8 divided by 1/2

Answers

It’s 4 cause half of 8 is 4

Answer:

[tex]8 \div \frac{1}{2} = 8 \times \frac{2}{1} = 8 \times 2 = 16[/tex]

Question is in image below. ​

Answers

Answer:

-9/25, -0.bar 3, √24, 4.92

Answer:

[tex]-\frac{9}{25} < -0.3 < \sqrt{24} < 4.92[/tex]

Step-by-step explanation:

We first have to expand -0.3, -9/25, and sqrt(24). Then we determine which is least and which is greater.

-0.3 = -0.3333...
-9/25 = -0.36

[tex]\sqrt{24}[/tex] ≈ 4.8989799486

4.92

[tex]-\frac{9}{25} < -0.3 < \sqrt{24} < 4.92[/tex]

Peter is packing toys into boxes each box holds 30 toys they are 94 toys and 3 boxes how many toys are there left

Answers

Answer:

4

Step-by-step explanation: You want to divide 94 by 30 and you 3 with a remainder of 4.

Answer: 4 toys

Step-by-step explanation:

     We will multiply 3 by 30 for how many toys he can currently put into boxes.

3 * 30 = 90

     Now we will subtract this from the total number of toys for our answer.

94 - 90 = 4

          There are 4 toys left.

distributive property​

Answers

Answer:

9 x 6=  9 x ( 3+3 )

= 9 x 3 + 9 x 3

= 27 + 27

= 54

Step-by-step explanation:

3x + 14 / 8 = -5

And also need to do the check ‍♀️

Answers

-9/4 or -2 1/4

Hope this helps

Can someone please help me ASAP
Find the length of the unknown side of each triangle.

Answers

Answer: Using the Pythagorean Theorem

Step-by-step explanation:

The Pythagorean theorem states that a^2+b^2=c^2.

For 51, Here would be the step by step (you would do the same thing for 52, follow the formula)

[tex]6^{2} + 3^{2} =c^{2} \\36+9= c^{2} \\45=c^{2} \\\sqrt{45} =\sqrt{c^{2} } \\c= 6.7[/tex]

For 53 (and 54), c is already provided. Instead of adding, do this (again, follow the formula):

[tex]a^{2} + 3^{2} = 7^{2} \\a^{2} + 9 = 49\\a^{2} + 9 = 49\\a^{2}= 40\\\sqrt{a^{2}} =\sqrt{40} \\a= 6.32[/tex]

I hoped this had helped.

What is the slope of the line shown below?
(-6,3)
(12,6)
A. -1/6
B. -6
C. 6
D. 1/6

Answers

Answer:D

Step-by-step explanation:

The slope of a line will be 1/6. Then the correct option is D.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

Slope = (y₂ - y₁) / (x₂ - x₁)

The points are given below.

(-6,3) and (12,6)

(x₁, y₁) = (-6,3)

(x₂, y₂) = (12,6)

Then the slope of a line will be

Slope = (6 – 3) / (12 + 6)

Slope = 3 / 18

Slope = 1/6

Then the correct option is D.

More about the slope link is given below.

https://brainly.com/question/3605446

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Paul works at at the bucket of Cracker Barrel and makes $8.25 an hour plus tips. Paul averages $110 in tips during an 8 hour shift. Paul typically works 40 hours A week and he works 48 weeks out of the year the other 2 weeks he gets paid vacation time during this time he earns his base hourly rate for 40 hours a week what is his gross annual income?

Answers

Answer:

330.00

Step-by-step explanation:

i think thats the answer someone would have to double check but this is what i did the get that

How much overtime pay do you get for working 40 hours if you get the following pay scale:

8.25 for all hours up to 40

110 for all hours in excess of 40

Calculate Total Pay

Total Wages = Regular Rate x 40 Hours + Overtime Rate x (Hours - 40)

Total Wages = 8.25 x 40 Hours + 110 x (40 - 40) Hours

Total Wages = 8.25 x 40 Hours + 110 x (0) Hours

Total Wages = 330 + 0

Total Wages = 330.00

HELP ME WITH THIS LOL

Find the value of X if a = 25 and b = 11, Round to the nearest tenth.

Answers

Answer:

x = 19.9

Step-by-step explanation:

These kinds of problems have a specific formula.

Formula: outside (whole) = outside (whole)

We could substitute our variables into this.

For the first line, our outside segment is b and the whole thing is a + b

For the second line, our outside segment is x, and the whole thing is x.

[tex]b (a+b) = x(x)\\11 (25+11) = x^2\\11 (36) = x^2\\396 = x^2\\\\x=\sqrt{396}[/tex]

The [tex]\sqrt{396}[/tex] = 19.8997487421

Rounding to the nearest tenth, your answer is 19.9

This solid is a hemisphere with a 90° slice removed and a radius of 12

Answers

Answer:

Step-by-step explanation:

u don't know this silly question

by how much is (3/4 + 1/12 + 2/3) greater than 1 ​

Answers

Hey there!

3/4 + 1/12 + 2/3

= 5/6 + 2/3

= 5/6 + 4/6

= 5 + 4 / 6

= 9 / 6

= 9 ÷ 3 / 6 ÷ 3

= 3/2
≈ 1.5


1.5 - 1 = 0.5

Therefore, your answer is: 0.5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

don't understand at all

Answers

Step-by-step explanation:

you would have to add the the sides and use context to find out the blank rectangles

3.5
B
S
A
7
ΔΑΒC ~ ΔQRS
Find the value of t.
Τ
4
C
R

Answers

Answer:

x = 0.5

Step-by-step explanation:

3.5/x = 7/4

3.5/x * 1/3.5 = 7/4 * 1/3.5

x = 7/14

x = 1/2

x = 0.5

If x - 3/x = 7 find i) x² + 9/x²
ii) x + 3/x
iii) x² - 9/x²

Answers

[tex]\text{Given that,}\\\\x-\dfrac 3x = 7\\\\\\\textbf{i).}\\\\\\x^2 + \dfrac 9{x^2}\\\\\\=x^2 + \left(\dfrac 3 x \right)^2\\\\\\=\left(x- \dfrac 3x \right)^2 + 2 \cdot x \cdot \dfrac 3x\\\\\\=7^2 +6\\\\\\=55[/tex]

[tex]\textbf{ii)}\\\\~~~~~\left(x+\dfrac 3 x \right)^2 = \left( x - \dfrac 3x \right)^2+4 \cdot x \cdot \dfrac 3x\\\\\\\implies \left(x+\dfrac 3 x \right)^2 = 7^2 +12\\\\\\\implies \left(x+\dfrac 3 x \right)^2 =61\\\\\\\implies x+ \dfrac 3x = \pm\sqrt{61}\\\\\\[/tex]

[tex]\textbf{iii)}\\\\\\x^2 -\dfrac 9{x^2}\\\\\\=x^2 - \left(\dfrac 3{x} \right)^2\\\\\\=\left( x-\dfrac 3x \right)\left( x+\dfrac 3x \right)\\\\\\=7\sqrt{61}~~ \text{or}~~ -7\sqrt{61}[/tex]

If a = 12 feet, b = 6 feet, c = 2 feet, d = 15 feet, and e = 3 feet, what is the area of the object?

Answers

Answer:9282

Step-by-step explanation:

Consider the trinomial x2 + 10x + 16. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?

Answers

Answer:

(x + 2)(x + 8)

Step-by-step explanation:

x² + 10x + 16

consider the factors of the constant term (16) which sum to give the coefficient of the x- term.

the factors are + 2 and + 8 , since

+ 2 × + 8 = + 16 and + 2 + 8 = + 10 , then

x² + 10x + 16 = (x + 2)(x + 8) ← in factored form

Answer:

answer in picture

Step-by-step explanation:

How many real-number solutions does the equation have?

0=-7x² +6x+3

A: one solution
B: two solutions
C: no solutions
D: infinitely many solutions​

Answers

The answer would be B. Two solutions

Answer: B. two solutions

im guessing

Select all of the inequalities that are true if x = 4. (Select all that apply.) x<2 x<10 x<4 x>4 x>8​

Answers

Answer:

x<10

Step-by-step explanation:

I think that's the only one

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

I WILL GIVE BRAINLIEST!!!
Logan calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: geography, math, English, and theater.

geography: MAD of 3.5

math: MAD of 1.36

English: MAD of 1.8

theater: MAD of 3.15

In which class were his scores the closest together?


A. math

B. theater

C. English

D. geography

Answers

Answer: the answer is Math and i took the test

1+3+5+7+...+25 is subtracted from 2+4+6+8+...+26. The answer is​

Answers

[tex]S_1 = 2+4+6+8+...+26 \\\\~~~~=2(1+2+3+4+...+13)\\\\~~~~=2 \cdot \dfrac{13(13+1)}2~~~~~~~~;\left[\text{Sum of consecutive positive integers }= \dfrac{n(n+1)}2 \right] \\\\~~~~=13 \cdot 14\\\\~~~~=182\\\\S_2 = 1+3+5+7+...+25\\\\\text{It is an arithmetic series wihere}\\\\\text{First term, a =1, ~Common difference, d = 2,~ number of terms = n} \\\\~~~~\text{Nth term} = a+(n-1)d\\\\\implies 25 = 1+(n-1)2\\\\\implies 2n-2 = 24\\\\\implies 2n = 24+2\\\\\implies 2n= 26\\\\[/tex]

[tex]\implies n = \dfrac{26}2 \\\\\implies n= 13\\\\\text{S} _2= \dfrac{\text{n(First term+ Last term)}}{2}\\\\~~~~~~=\dfrac{13(1+25)}2\\\\~~~~~~=\dfrac{13 \times 26}2\\\\~~~~~~=13 \times 13\\\\~~~~~~=169\\\\\text{Hence,}~~ S_1 - S_2 =182 - 169 =13[/tex]

Answer:

13

Step-by-step explanation:

2 + 4 + 6 + 8 + ...... + 26

n = 13

Sum of first 'n' even numbers = n( n +1)

                                                 = 13 * 14

                                                  = 182

1 + 3 + 5 + 7 + .....+25

n = 13

Sum of first 'n' odd numbers = n²

                                               = 13 * 13

                                               = 169

2 + 4 + 6 + 8 + ... + 26 - (1 + 3 + 5 + 7 + ......+25) = 182 - 169

                                                                            = 13

Evaluate the lender's good faith estimate. a. the lender made an excellent estimate; it was equal to the actual closing costs. b. the lender made a very good estimate; it was within 0.25% of the actual closing costs. c. the lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs. d. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.

Answers

The lender's good faith estimate is D. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.

Who is a lender?

It should be noted that a lender simply means an individual or an organization that lends people money.

In this case, the lender's good faith estimate is that the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.

Learn more about lender on:

https://brainly.com/question/25882989

Answer:

It's

A: The lender made a very good estimate; it was within 0.25% of the actual closing costs.

Step-by-step explanation:

Which is the same as dividing a number by 10?

pls help I need it pls

Answers

Answer:

Splitting that number into 10 equal wholes.

Step-by-step explanation:

(fractions)

Ayana's favorite brownie recipe calls for
1
2
of a cup of flour for every
1
3
of a cup of cocoa powder. For a bake sale, she plans to make a larger batch with 1 cup of cocoa powder. How much flour should she use?

Answers

Answer: 12-233 24353252345

Step-by-step explanation:

Ayana's favorite brownie recipe calls for

1

2

of a cup of flour for every

1

3

of a cup of cocoa powder. For a bake sale, she plans to make a larger batch with 1 cup of cocoa powder. How much flour should she use?

Please read the picture

Answers

45.6 please give brainliest

What is the equation of a line, in point slope form, that passes through (5, 3)and has a slope of ⅔​

Answers

Answer:

y - 3 = 2/3(x - 5)

Step-by-step explanation:

Formula:

y - y1 = m(x - x1)

It doesn't apply to this problem but keep in mind that two negatives make a positive so instead of writing, for example, y - (-5), you can just write y +5.

Makes it a lot cleaner and easier to work with.

Hope this helps you :)

What is the solution of x = 2 startroot x minus 2 endroot? x = 2 x = 3 x = 2 or x = 3 no solution

Answers

Radical expression are expressions that contains square root. The value of x from the given radical expression is 3

Radical equations and expression

Given the equation expressed as:

x = 2 + √x - 2

Subtract 2 from both sides

x - 2 = √x - 2


Square both sides

(x-2)^2 = x - 2

x - 2 = 1

x = 1 + 2

x = 3

Hence the value of x from the given radical expression is 3

Learn more on radical expression here: https://brainly.com/question/738531

Answer:

B x = 3

Step-by-step explanation:

Taffy Twists candy company keeps the same ratio of pieces of strawberry candy to banana candy in their packs. The Mega Pack has 40 strawberry candies and 50 banana candies. The Party Pack has 20 strawberry candies.
How many banana candies are in the Party Pack?

Answers

Answer:

25 bananas

Step-by-step explanation:

You halved the strawberry number (from 40 to 20) ....half the banana number = 25

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he primary coil in a transformer has 250 turns; the secondary coil has 500. Which is correct?a. This is a step-down transformer.b. The voltage in the secondary coil will be higher than in the primary.c. The power in the secondary coil is greater.d. The power in the primary coil is greater. HELP MY GRADE IS AN F AND I NEED TO GET IT UP FAST!At the end of an investigation, a student writes, Plants watered with the boiling water grew little. However, plants watered with warm water grew larger over the same period. Therefore, boiling water decreases plant growth.What part of scientific investigation is this?evidence and logical reasoninghypothesis and observationquestion and experimentevaluation and critique How have deforestation, desertification, and damming negatively affected the environment? The amount of money that college students spend on food each week during the academic year is normally distributed witha mean of $31.28 and a standard devitation of $11.42.What is the probability that one randomly selected student will spend less than $25 per week on food?If you randomly select 10 students, what is the probability that their mean will be less than 525? Two sides of a right triangle measure 7 units and 3 units A ________ monitors, maintains, fixes, and tunes computer networks. Select one: A. systems analyst B. chief information security officer C. chief security officer D. network administrator E. server administrator please help me asap!!!!!!! Margot needs to gallons of paint for his living room he has 10 quarts of paint is that enough Michelle bought 3000 shares of a stock at $24 per share. The company paid annualdividends of $0.42 per share. What is the total annual dividend? ! PLEASE ONLY CORRECT ANSWERS !Which source is an example of a secondary source? A. Data from a study about the effectiveness of a vaccine B. A report about the number of people who have been vaccinated C. A transcript of an interview with a scientist who developed a vaccine D. A photograph of someone receiving a vaccine Follow these steps.1. Circle three details in the image. Each one should be a clue about each of the three topics above. 2. Near each detail you circled, write a note explaining what it tells about the topic. 3. Draw a line from each detail to its note. what is the number for x x-2=4 Jack is a forensic specialist who wants to examine a network router for potential evidence in a case. What is the first step he should take to safely examine the router The parts of a solid are faces, vertices and __________. help pls no wrong answers Helpppppp plssss!!!!!! Which aspect of American culture in the late 19th century was a major cause aof the "plexus of social problems" that W. E. B. Du Bois refers to in 'The Studyof the Negro Problems"?A. Racial segregation resulted in African Americans being deniededucational opportunities that were available to white students.B. Low self-esteem among African Americans kept them from pursuing the careers that were available to them.C. African Americans struggled to adjust to political freedom andcontinued to vote for politicians who ignored their interests.D. During the Civil War, several regiments of the Union Armyconsisted of only African American soldiers. a small pizza has a diameter of 8 inches what is the circumference Read Jessicas argument about pet ownership:Although pet ownership is a huge responsibility, pets can help people become physically and psychologically healthier. Studies show pet owners tend to have lower blood pressure, reducing their risk of heart disease and stroke. Studies also show that pet owners suffer fewer and less severe instances of depression and anxiety.How can Jessica better introduce her claim? A. State her reasons separately from her claim. B. Move her reasons and evidence into separate paragraphs. C. Provide background information, such as statistics about how many people in the United States own pets. D. Give details from the studies she mentions, such as statistics about the health of pet owners versus the health of non-pet owners. The time during which a person is most likely to infect and spread a disease to others is referred to as:A. Warm-up period B. The infectious period C. The route of entryD.Incubation period