Tutors Answer Your Questions about Equations (FREE)
Question 1198830: A ball is thrown off the top of a building. At time t (in seconds) its height (in feet) follows the path described by the function f(t)=-3t^2 + 24t +60. What is the ball maximum height?
The correct answer is one of the following. Which one is it?
A) 8 feet
B) 24 feet
C) 60 feet
D) 108 feet
Click here to see answer by ikleyn(52781)   |
Question 1198830: A ball is thrown off the top of a building. At time t (in seconds) its height (in feet) follows the path described by the function f(t)=-3t^2 + 24t +60. What is the ball maximum height?
The correct answer is one of the following. Which one is it?
A) 8 feet
B) 24 feet
C) 60 feet
D) 108 feet
Click here to see answer by math_tutor2020(3817) |
Question 1198797: 3. The parabola f(x)=x2 is transformed as described. State the equation that would represent each of the following.
a) The parabola is compressed by a factor of 0.5 and shifted 3 units right.
b) The parabola is stretched by a factor of 2, reflected about the x-axis, shifted 5 units left and 2 units up.
4. Describe the transformations applied to f(x)=x2 to produce the function f(x)=2(x-5)2+10
5. Convert the following equation into vertex form by completing the square.
f(x) = 2x2+12x-4
Click here to see answer by MathLover1(20849)  |
Question 1198943: If 38800 dollars is invested at an interest rate of 5 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent.
a(annual)
b(semiannual)
c(monthly)
d(daily)
Click here to see answer by MathLover1(20849) |
Question 1198737: It takes Calvin 2 hours longer to complete the promotional logo for a male business entrepreneur than it takes Francesca. The two of them work together for 3 hours then Francesca left, and Calvin finished the job in 1 hour. How long would it take each of them, working alone, to finish the job?
Click here to see answer by MathTherapy(10552)  |
Question 1198843: 7. Graph the equation in Desmos or Geogebra. Then answer the following questions. A person throws a ball straight up in the air. The height of a ball, h, in meters, can be modelled by h=-4.9t2+10.78t+1.071, where t is the time in seconds since the ball was thrown.
a)What is the maximum height the ball can reach?
b)How tall is the person that throws the ball up in the air?
c)If the thrower also wants to catch the ball, what time do you think that will occur at?
Click here to see answer by htmentor(1343)  |
Question 1199194: James spent $6780 on some watches and clocks. The amount spent on watches was $2820 more than the amount spent on the clocks. He bought 3/5 as many clocks as watches. Each clock cost $25 less than each watch. What was the total number of watches and clocks bought by James?
Click here to see answer by math_tutor2020(3817) |
Question 1199194: James spent $6780 on some watches and clocks. The amount spent on watches was $2820 more than the amount spent on the clocks. He bought 3/5 as many clocks as watches. Each clock cost $25 less than each watch. What was the total number of watches and clocks bought by James?
Click here to see answer by MathTherapy(10552) |
Question 1199194: James spent $6780 on some watches and clocks. The amount spent on watches was $2820 more than the amount spent on the clocks. He bought 3/5 as many clocks as watches. Each clock cost $25 less than each watch. What was the total number of watches and clocks bought by James?
Click here to see answer by ikleyn(52781) |
Question 1199217: Solve for x.
x^4 - 5x^2 -12 = 0
I can write x^4 like this: (x^2)^2.
Let u = x^2.
u^2 - 5u - 12 = 0
After using the quadratic formula, I got the following:
u = (5 + sqrt{73})/2 and (5 - sqrt{73})/2.
I back-substituted for u.
x^2 = (5 + sqrt{73})/2 and x^2 = (5 - sqrt{73})/2.
Taking the square root on both sides, I got:
x = [(5 + sqrt{73}/2)]^(1/2)
x = [(5 - sqrt{73}/2)]^(1/2)
The textbook Answer for x are -2, -1, 1, 2.
Why is my answer wrong?
Click here to see answer by ikleyn(52781) |
Question 1199217: Solve for x.
x^4 - 5x^2 -12 = 0
I can write x^4 like this: (x^2)^2.
Let u = x^2.
u^2 - 5u - 12 = 0
After using the quadratic formula, I got the following:
u = (5 + sqrt{73})/2 and (5 - sqrt{73})/2.
I back-substituted for u.
x^2 = (5 + sqrt{73})/2 and x^2 = (5 - sqrt{73})/2.
Taking the square root on both sides, I got:
x = [(5 + sqrt{73}/2)]^(1/2)
x = [(5 - sqrt{73}/2)]^(1/2)
The textbook Answer for x are -2, -1, 1, 2.
Why is my answer wrong?
Click here to see answer by greenestamps(13200)  |
Question 1199266: Solve for x.
x^2 + 3x + sqrt{x^2 + 3x} = 6
Moving x^2 + 3x to the right, I got this:
sqrt{x^2 + 3x} = -x^2 - 3x + 6
Squaring both sides leads to the following:
x^2 + 3x = x^4 + 6x^3 - 3x^2 - 36x + 36
I then moved every term on the left to the right side.
x^4 + 6x^3 - 4x^2 -39x + 36 = 0
Stuck here. . . .
According to the textbook, the answers for x are as follows: x = -4, x = 1.
Click here to see answer by ikleyn(52781) |
Question 1199324: Transform the quadratic function defined by y = ax + bx + c into the form y = a(x - h)² + k
Ka Ditha, one of the makers of Kakanin in Barangay Balite, City of Malolos, makes Sumang Murwekos, a rice cake she learned from her aunt, Nana Elena. She sells Sumang Murwekos to the barrio for additional income. As anyone who sells things can tell you, deciding on an appropriate price is very important. If your price is too low, you will not make much of a profit. If your price is too high, you will also probably not make much of a profit because fewer people will buy what you are selling. The best price is the price that leads to the maximum profit.
the maximum profit. Suppose Ka Ditha's profit y can be found by y=x 2 + 24 = 60, where x represents the price of each Suman Murwekos. What price should she charge to receive the maximum profit
please help me, this math problem will complete my grade. thankyou!
Click here to see answer by Theo(13342)  |
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