MATHEMATICS HIGH SCHOOL

Songs.com charges $10 to become a memberand $1 per album. If you buy 25 albums,
how much do you spend?
y= rate • + constant

Answers

Answer 1
Answer:

Answer:

y = 25($1) + $10

y = 25 + 10

y = $35

Step-by-step explanation:

Related Questions

Factor 3x^3y^6-81 no clue man
Dominick lives 1 3/4 miles from his school.  If his mother drives him half the way, how far will Dominick have to walk to get to school?
Solve each of thr following sytem of equations by substitution!! 4x+3y=37 y=x-4
Adam buys a bigger turkey than he needs the turkey he buys weighs 7kg the cooking instructions are:less than 4kg-allow 20 minutes per kg, plus 70 minutes over 4kg allow 20 minutes per kg, plus 90 minutes always leave the turkey to rest for 30 minutes before carving to retain moisture. he plans to carve the turkey at 17:15. what time should he start cooking the turkey?
Your parents are renting an apartment for you when you go away to college an annual contract is $502.00/month with a 2 month penalty if you break the lease the month to month contract is 615.00/month how much is the difference in payments if you stay the whole year

A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point(6,6) and ends at the point (8. - 4).
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain

Answers

Final answer:

The system of equations to model the problem is y = 0.5(x - 16) for the water taxi's path and y = -5x + 36 for the water skier's path. No collision is possible between the water skier and the taxi.

Explanation:

a. System of Equations:

To model the problem, we need to find the equation of the water skier's path.

Using the two given points, we can find the slope of the water skier's path:


  2.  
  3. Find the change in y-coordinates: -4 - 6 = -10

  5.  
  6. Find the change in x-coordinates: 8 - 6 = 2

  8.  
  9. Calculate the slope: slope = -10 / 2 = -5

Now that we have the slope, we can use the point-slope formula to find the equation of the water skier's path:

y - y1 = m(x - x1)

Substituting the values x1 = 6, y1 = 6, and m = -5:

y - 6 = -5(x - 6)

Simplifying:

y = -5x + 36

Therefore, the system of equations to model the problem is:

y = 0.5(x - 16) - Equation of the water taxi's path

y = -5x + 36 - Equation of the water skier's path



b. Possibility of Collision:

To determine if the water skier could collide with the taxi, we need to solve the system of equations. If the x-coordinate at the point of intersection is within a certain range, then a collision is possible.



Substitute the second equation into the first equation:

0.5(x - 16) = -5x + 36

Solve for x:

0.5x - 8 = -5x + 36

5.5x = 44

x = 8



The x-coordinate of the point of intersection is 8. Since the water skier's path does not pass through the point x = 8, there is no collision between the water skier and the taxi.

Learn more about System of equations here:

brainly.com/question/35467992

#SPJ2

I realize that the equation is different, but do it in the same way, it'll help! It is given that the water​ taxi's path can be modeled by the equation y =0.5(x - 14)^2. ​Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water​ skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the​ y-intercept of the line.  The​ y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the​ taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of​ equations, solve the system using substitution.​ First, write the equation that models the water​ taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for  y in the equation and then solve for  x. As the expression on the left side of the equation cannot easily be​ factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.

In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.

If y varies directly with x and x=4 when, y=20, find k, the constant of variation.

Answers

Direct variation means [ y = k x ]

Given . . . 20 = k 4

k = 20/4 = 5 .

Which of the following is the parent function of all absolute value functions?f(x) = 3x
f(x) = |x|
f(x) = 2|x|
f(x)=x^2

Answers

Hello, 

The parent function of all absolute value functions is the f(x) = |x|.
I'll explain why. 
f(x) = 3x is a linear function.
f(x) = 2|x| is an absolute value function, but it has a vertical stretch by a factor of 2, and we want to find the parent function, it needs to be in the most simplest form. 
f(x) = x² is a quadratic function.

So, the final answer is choice 2, f(x) = |x|. 

Answer:

B

Step-by-step explanation:

I took the test

4x+6 is greater than or equal to 18
find the solution

Answers

Answer:

4x+6 ≥ 18

Step-by-step explanation:

x≥3

(3x+8)+x>3x-12 can someone tell me how to solve it because already know the answer which is x>-20

Answers

(3x + 8) + x > 3x - 12
  3x + x + 8 > 3x - 12
        4x + 8 > 3x - 12
      - 3x        - 3x
          x + 8 > -12
              - 8     - 8
                x > -20

Solution Set: (-∞, -20)

Please help gang gang

Answers

Answer:

A, a centimeter is smaller so therefore it is more accurate.

Other Questions
Twice a number is added to three times its square. if the result is 16, find the number
The probability of getting disease X (event A) is 0.65, and the probability of getting disease Y (event B) is 0.76. The probability of getting both disease X and disease Y is 0.494. Are events A and B dependent or independent?
A taxi driver charges a $2 gas fee plus $1.25 for each mile. He charges a customer$17 for a ride. Write and solve an equation to find the distance the customertraveled in the taxi. *
A company has three operational departments namely weaving, processing and packing with capacity to produce three different types of clothes namely suiting’s, shirting’s and woolens yielding a profit of rupees 2 ,4and 3 per meter respectively.1 meter of suiting requires 3 minutes in weaving, 2 minutes in processing and 1 minute in packing. Similarly 1 meter of shirting requires 4 minutes in weaving ,1 minute in processing and 3 minutes in packing.1 meter of woolen requires 3 minutes in each department .In a week total run time of each department is 60,40 and 80 hours for weaving, processing and packing respectively. Formulate this as LPP and find the solution.