anybody can help me with math??? "Graphing Radical Functions"

Answer: [tex]\bold{y = \sqrt{900-x^2}}[/tex]

Step-by-step explanation:

The general form of a circle is: (x - h)² + (y - k)² = r² ; where

Since the roller coaster is centered at the origin, then (h, k) = (0, 0)

Since the height of the roller coaster is 30, then radius (r) = 0

Equation of the circle is: (x - 0)² + (y - k)² = 30²

⇒ x² + y² = 900

To find the equation of the semicircle, solve for "y"

x² + y² = 900

      y² = 900 - x²

      [tex]\sqrt{y^2}=\sqrt{900-x^2}[/tex]

      [tex]y = \pm\sqrt{900-x^2}[/tex]

Since we are looking for the top half of the semicircle (because it is above ground), then use the positive root:  [tex]y = \sqrt{900-x^2}[/tex]

Answer:

x^2+y^2=900Step-by-step explanation:

1.Write the equation that models the height of the roller coaster.

x^2+y^2=30^2

2.Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points)

x^2+y^2=900

3.Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)

y= √(900-x^2)

1 ║ 4               6                  -1

                      4                  10

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

    4               10                 [tex]\boxed{9}[/tex] 

⇒ The Remainder is 9

Answer:

670 animals

Step-by-step explanation:

First, round both numbers to the nearest ten. Remember that the numbers 4 and under round down (e.g. 143 = 140) and the numbers 5 and above round up (e.g. 145 = 150).

218 = rounds up = 220

454 = rounds down = 450

Finally, add the rounded numbers together.

220 + 450 = 670

The zoo has approximately 670 animals.

Final answer:

To estimate the total number of animals at the zoo, round the number of animals in the outdoor and indoor exhibits to the nearest tenth and add them together for the estimation.  The estimated total number of animals at the zoo is 670

Explanation:

The zoo has 220 animals in the outdoor exhibits and 450 animals in the indoor exhibits.

To estimate the total number of animals, you need to round each number to the nearest tenth:

Round 218 to the nearest tenth: 220

Round 454 to the nearest tenth: 450

By rounding, the estimated total number of animals at the zoo is 670.

Answer: The quadrilateral used here is a trapezium.

Answer: 4x - 8 ; 12 yrs old

Step-by-step explanation:

sister: x

Ana: 4x - 8

when x = 5, Ana = 4(5) - 8

                           = 20 - 8

                           = 12

Answer:

5/8

Step-by-step explanation:

well we 1 14/8 so lets turn that to a whole number which is 12/8 (you multiply the denominator by 1 and add the 4)

12/8 - 7/8 =  5/8    ( since both denominators are the same numbers you can simply subtract the numerator )

Answer:

10.: B. C(n) = 0.75n - 0.5; $7.00

12.: A. 90 light bulbs

Step-by-step explanation:

10. One soda costs 0.75. n sodas cost 0.75n. Then you subtract the coupon amount, so you pay 0.75n - 0.5.

The cost function is:

C(n) = 0.75n - 0.5

The cost of 10 sodas is:

For 10 sodas, n = 10.

C(10) = 0.75 * 10 - 0.5

C(10) = 7.5 - 0.5

C(10) = 7

Answer: B. C(n) = 0.75n - 0.5; $7.00

12. b(n) = 6n

The number of chandeliers is n.

If n = 15, then you have:

b(15) = 6 * 15

b(15) = 90

Answer: A. 90 light bulbs

Answer:

 10.   B. C(n) = 0.75n - 0.5; $7.00

12 A. 90 lightbulbs

Step-by-step explanation:

10.  Cost of the purchase = number of cans * cost per can - coupon

We know the cost per can is .75 and the coupon is a one time coupon for .50

                            C(n)                = n * .75 - .5

If we let n=10 to buy 10 cans

C(10) = 10*.75 -.50

          = 7.50 - .5

          = 7.00  is the cost of 10 cans

12.  b(n) = 6n   where n is the number of chandeliers

                       b(n) is the number of light bulbs

If we have 15 chandeliers how many light bulbs do we need?

b(15) = 6*15 = 90

We will need 90 light bulbs

Answer:

Step-by-step explanation:6*3 7*3 8*3 9*3

Answer:

1/5

Step-by-step explanation:

Experimental probability is the actual times it happens divided by the number of trials

Actual times red occurs:2

Trials: 10

Experimental probability: 2/10 = 1/5

Answer:1/5

Step-by-step explanation:Experimental probability is the actual times it happens divided by the number of trials

Actual times red occurs:2

Trials: 10

Experimental probability: 2/10 = 1/5

Answer:

The fourth graph.

Step-by-step explanation:

The best way to do this is to first convert the equation to slope-intercept form. Then it is easy to see the slope and y intercept.

-3x  + 5y = 15

5y = 3x + 15

y   =  3/5x  + 3  is slope intercept form.

The slope is 3/5 and the y-intercept is at y = 3.

It is the fourth graph.

Answer: 6 and -6

Step-by-step explanation:

6 Is the distance from zero, since distance cannot be negative, it does not matter if we go left or right on the number line, it will still be 6 units away from zero.

The numbers 6 units from zero on a number line are -6 and 6. These numbers are at an equal distance from zero but in opposite directions, with -6 being on the left (negative side) and 6 on the right (positive side) of zero.

The numbers that are 6 units from zero on a number line are -6 and 6. Both of these numbers are at an equal distance from zero, but in opposite directions. The number -6 is to the left of zero, representing a negative value, and the number 6 is to the right of zero, representing a positive value.

Therefore, the correct answers are -6 and 6.

The numbers 12 and 3 mentioned in the question are not 6 units from zero; 12 is much farther than 6 units away, and 3 is closer than 6 units to zero.

Answer:

Jane is 12 years old and Harvey's is 36 years old .

Step-by-step explanation:

Given :

Jane is  [tex]a_{0}[/tex]  years old.

Harvey is   [tex]a_{1}[/tex] years old.

Harvey is 3 times as old as Jane.

The sum of their ages is 48 years.

To find : The ages of Harvey and Jane.

Solution :

Jane 's age :

[tex]a_{0}[/tex]

Harvey  's age:

[tex]a_{1}[/tex]  

Since we are given that sum of their ages is 48 years

⇒[tex]a_{1} + a_{0} = 48[/tex]  ----(A)

We are also given that  Harvey is 3 times as old as Jane.

⇒[tex]a_{1} = 3a_{0}[/tex]  --- (B)

Solving (A) and (B) using substitution method

Substitute value of [tex]a_{1}[/tex]  from (B) in (A) :

⇒[tex] 3a_{0}+ a_{0} = 48[/tex]

⇒[tex] 4a_{0} = 48[/tex]

⇒[tex]a_{0} = \frac{48}{4}[/tex]

⇒[tex]a_{0} = 12[/tex]

Thus , Jane 's age is 12 years .

Substitute this value in (B) to find Harvey,s age :

⇒[tex]a_{1} = 3(12)[/tex]

⇒[tex]a_{1} = 36[/tex]

Thus, Harvey,s age is 36 years .

Hence Jane is 12 years old and Harvey's is 36 years old .

Answer:

59-12 would be 47 points and by all means you would have an F

Step-by-step explanation:

59-12=47

Answer:

The bike will cost $108.75

Step-by-step explanation:

In order to find the amount, you must multiply the cost by the percentage being paid. Since the mark down is 25%, you are paying 75% of the overall cost. So multiply 75% by $145.

75% * $145 = $108.75

Let's assume the opposite is the case. So let's assume that a = b is true. If so, then f(a) and f(b) would be the same output. This is because we can replace 'b' with 'a', or vice versa. In other words, f(a) = f(b) would be true. But this contradicts the original inequality that f(b) < f(a)

So that is why 'a' cannot equal b. We don't know if a > b or if a < b (unless we are told if the function is strictly decreasing or increasing on the interval from x = a to x = b), so we just leave it as [tex]a \ne b[/tex]

Answer:

8.14$

Step-by-step explanation:

each pound is for 2.20

2.5 x 2.20 = 5.50$ on Monday

1.2 x 2.20 = 2.64$ on Tuesday

5.50 + 2.64 = 8.14$ in total

Answer:

Answer is selling price of second horse is Rs 30400.

Step-by-step explanation:

Maulik bought one horse at Rs 40000 and sold it with a gain of 15%

So the selling price of one horse will be 40000+15% of 40000

                                                      = 40000+6000

                                                      = Rs 46000

Second horse is costing Rs 40000 and had suffered a loss of Rs 3600 on selling both so selling price of both will be = 40000×2-3600

                                                                       = 80000-3600

                                                                       = 76400

  Now selling price of second horse will be selling price of both - selling price of first = 76400-46000 = Rs 30400

Answer:

The selling price of the second horse is Rs 30,400.

Step-by-step explanation:

Cost Price of first horse([tex]CP_{1}[/tex])= Rs. 40,000

Cost Price of second horse([tex]CP_{2}[/tex])= Rs. 40,000

Total cost price=[tex]CP_{1}+CP_{2}[/tex]=Rs (40,000+40,000)=Rs 80,000

First horse is sold at 15% gain.

This means selling price of first horse([tex]SP_{1}[/tex])= [tex]\dfrac{115}{100} \times40000[/tex]

                                                              = Rs. 46,000

also total there is a loss of Rs 3600

selling price of both the horses(SP)=80000-3600=Rs 76400

now, [tex]SP=SP_{1}+SP_{2}[/tex]

where [tex]SP_{2}[/tex] is the selling price of the second horse.

[tex]SP_{2}=SP-SP_{1}[/tex]

[tex]SP_{2}=76400-46000[/tex]

[tex]SP_{2}=30400[/tex]

Hence the selling price of the second horse is Rs 30,400.

Answer:

Segment AB!

hope this helps

Step-by-step explanation:

Answer:

Segment XY≅  segment AB.

Step-by-step explanation:

Given : ABC is congruent to triangle XYZ.

To find : which of the following is congruent to segment XY.

Solution : We have given that triangle ABC ≅ ΔXYZ.

By the congruent rule of triangle  : congruent triangle have congruent corresponding sides .

So. side AB ≅ XY

Therefore, Segment XY≅  segment AB.

So to find the potential roots, we will be using the rational root theorem. The rational root theorem is [tex]\pm \frac{p}{q}[/tex] , with p = factors of the constant and q = factors of the leading coefficient. In this case, our constant is 12 and our leading coefficient is 1:

[tex]p=1,2,3,4,6,12\\q=1\\\\\pm\frac{1,2,3,4,5,6,12}{1}\\\\\pm1,\pm\ 2,\pm\ 3,\pm\ 4,\pm\ 6,\pm\ 12[/tex]

In short, our potential roots are: ± 1, ± 2, ± 3, ± 4, ± 6, and ± 12.

Answer:

2,4,3,6,12

Step-by-step explanation:

i just did it.  

Answer:The numerator represents the total cost for renting the truck over a three-day period.

Step-by-step explanation:

The numerator of the rational expression represents:

x represent the number of miles driven during the rental period.

Also, the fixed charge of the truck when it is rented for a three day period is: $ 115

The charge per mile is: $ 0.83

This means when the car is driven x miles in three day period then the cost is: $ 0.83x

Total cost of the truck in the rental period is: 115+0.83x

This means that the  average cost per mile for a three-day period is :

Ratio of total cost of truck to the number of miles driven.

i.e.

[tex]Average\ cos\ per\ mile=\dfrac{115+0.83x}{x}[/tex]

Hence, the numerator represent Total cost of truck during the rental period.

We don't know anything about the x coordinate of point B other than it cannot be zero (which is what the slash through the equal sign means). You can pick any value you want for x as long as it's not zero. So I'm going to pick x = 1. Point B is located at (x,y) = (1,-7)

Find the slope of the line through A(-5,5) and B(1,-7). Use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-7-5)/(1 - (-5))

m = (-7-5)/(1 + 5)

m = (-12)/(6)

m = -2

Use this slope value with (x,y) = (-5,5) to find the y intercept b

y = mx+b

y = -2x + b

5 = -2(-5) + b

5 = 10 + b

5-10 = 10+b-10

-5 = b

b = -5

So y = mx+b turns into y = -2x-5 which is the equation of the line through the two points A(-5,5) and B(1,7). The graph is shown below.

note: this answer will be different if you pick a different x coordinate for point B

Answer:

A

Step-by-step explanation:

First term = 6 + (1 -1)(-4) = 6 + 0 = 6.

2nd term = 6 + (2 - 1)(-4) = 6 + (-4) = 2.

a3 = 6 + (3 - 1)(-4) =  6 + (-8) = -2.

Its Choice A.

[tex]a_n=6+(n-1)(-4)=6+(n)(-4)+(-1)(-4)=6-4n+4=10-4n[/tex]

Put n = 1, n = 2 and n = 3 to the equation:

[tex]a_1=10-4(1)=10-4=6\\\\a_2=10-4(2)=10-8=2\\\\a_3=10-4(3)=10-12=-2[/tex]

Answer:

12

Step-by-step explanation:

60 divided by 5 is 12, so Bobby jo would give her teachers 48 and 12 to her family

Final answer:

To find the number of cookies for Bobby Jo's family, subtract the number of cookies for her teachers from the total number of cookies she made.

Explanation:

To find the number of cookies for Bobby Jo's family, we need to subtract the number of cookies for her teachers from the total number of cookies she made. Bobby Jo made 60 holiday cookies and 4/5 of these are for her teachers. To calculate the number of cookies for her teachers, we multiply 60 by 4/5:

Number of cookies for her teachers = 60 x 4/5 = 48 cookies

Since the rest of the cookies are for her family, we subtract the number of cookies for her teachers from the total number of cookies to find the number of cookies for her family:

Number of cookies for her family = 60 - 48 = 12 cookies

Answer: The bar graph could work.

Answer:

Step-by-step explanation: A box plot takes a large amount of data and clearly identifies the median, first quartile, and third quartile. The first quartile identifies the 25th percentile, and the third quartile identifies the 75th percentile.

To determine how the height of the student compares to 25% of his class, the value of the first quartile of the heights is needed.

Therefore, the best graph type to show how the student compares to 25% of his class is a box plot.