5 male friends are of different ages, go by different nicknames, drive different cars, have different jobs, and root for different pro football teams.Using the clues below, can you determine the age, vehicle, job, and favorite pro football team of the man nicknamed Tubba?

1. The man who drives a station wagon roots for the Raiders.
2. The man who drives a Hummer is 42.
3. The man who roots for the Bengals is a flea trainer.
4. The man who roots for the Cowboys has a 2-year age difference with the competitive eater.
5. The man who dives an SUV is a toothpick tester.
6. The man who dives an RV has a 2-year age difference with the 40-year old man.
7. The man who roots for the Browns is nicknamed Dubba.
8. The oldest man is 4 years older than the apple dewormer.
9. The 38-year old man roots for the Steelers.
10. The man whose age is in the middle is an apple dewormer.
11.The man nicknamed Rubba has a 2-year age difference with the man who roots for the Steelers.
12. The man who drives an RV is the youngest.
13. The 44-year old man is a beer-bottle capper.
14. The man who roots for the Cowboys has a 2-year age difference with the man nicknamed Hubba.
15. The man who drives a pickup is nicknamed Bubba.

Answers

Answer 1

Answer: the man nicknamed Tubba is 44-year-old beer-bottle capper who drives a station wagon and roots for the Raiders.

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Josh practices free throws during basketball practice on Monday and Tuesday. On Monday, he attempts 15 free throws and 6 basketballs went in the basket. Over both days, Josh wants at least 80% of his balls to go in the basket. If he makes every free throw on Tuesday, what is the minimum number of free throws required on Tuesday to reach his goal?

If the radius of a circle with an area of 45 inches squared is multiplied by 6, what is the area of the new circle ?

Answers

A circle is drawn with all it's points equidistant from a fixed point. The fixed point is called the center of the circle and the distance from the center point to the outside is called the radius.

$Area = \pi *r^2$

$r^2 = Radius$

$45*6^2= New \ Area$

$= 1620$

45X6²=1620 because the area of circle=r² $\pi$

What is the domain of f(x)=3x-2?

Answers

Answer:

the answer is: {x|x>0}

Molly is on a game show. To win $1,000,000, she must answer this question: What key features are necessary—and how are the features used—to create the sketch of a polynomial function? What is Molly's winning answer? Explain in complete sentences.

Answers

- Find the y-intercept
- Find the roots (i.e. x - intercepts)
- Determine where the function increases and where it increases, along with the maximum and minimum values.
- Determine where the function changes concavity along with the inflection points.
- Determine the special points, where the value of the function is not defined and try to find the limit when the value of x approachs to this values
- Determine the limits of the function when x approachs to positive infinity and negative infinity

- For some of those steps you need to know some concepts of calculus: limits and derivatives along with the rules that let you know if a point is a maximum, a minimum or an inflection point.

With that information you can sketch a polynomial function.

Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges. Part A: write equations to represent Company A's and Company B's total charges for cleaning number windows. Define the variable used in the equations.

Part B: which company would charge less for cleaning 8 windows? Justify your answer.

Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows?

Answers

Part A
Company A: c=6w+12
Company B: c=5w+15
c=cost w=# of windows
Part B
Company A: c=6(8)+12 c=$60
Company B: c=5(8)+15
c=$55
So Company B is the cheaper option by 5 dollars.

Part A:
y is how much they charge in total
x is the amount of windows
Company A is (6*x)+ 12= y
Company B is (5*x)+15=y

Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park. Write and solve an equation to find how far Joey walked to get to Armando's home.

Answers

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

$(9)/(10) = x + (3)/(5)$

$x = (9)/(10) - (3)/(5) = (9)/(10) -(6)/(10) = (3)/(10)$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=(9)/(100) \textrm{ or } c^2=(9)/(4)$

$c=(3)/(10) \textrm{ or } c=(3)/(2)$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

The equation x2 + y2 − 2x + 2y − 1 = 0 is the general form of the equation of a circle. What is the standard form of the equation?

Answers

Answer:

$(x-1)^2+ (y+1)^2=3$

Step-by-step explanation:

$x^2 + y^2 - 2x + 2y - 1 = 0$

Standard form of the equation is $(x-h)^2 + (y-k)^2= r^2$

To get standard form we apply completing the square method

$x^2-2x+ y^2+ 2y - 1 = 0$

Take coefficient of x and y . Divide it by 2 and then square it

$(2)/(2) =1$ and 1^2=1

Add and subtract 1

$(x^2-2x)+(y^2+ 2y) - 1 = 0$

$(x^2-2x+1-1)+(y^2+ 2y+1-1) - 1 = 0$

$(x^2-2x+1)+(y^2+ 2y+1)-1-1- 1 = 0$

$(x^2-2x+1)+(y^2+ 2y+1)-3= 0$

Now write the parenthesis in square form

$(x-1)(x-1)+ (y+1)(y+1)-3= 0$

$(x-1)^2+ (y+1)^2-3= 0$ , add 3 on both sides

$(x-1)^2+ (y+1)^2=3$ is the standard form

x^2 + y^2 - 2x + 2y - 1 = 0

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

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

(x - 1)^2 + (y + 1)^2 - 3 = 0

(x - 1)^2 + (y + 1)^2 = 3

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