90.  In precalculus, you learned a formula for the position of the maximum or minimum of a quadratic equation y=ax2+bx+c, which was h=−b(2a). Prove this formula using calculus.

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A: As per company's norm we are allowed to solve only one question at a time. Repost the rest question…

Q: True or false: x° + 1000y is the sum of two cubes.

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Q: 4) What is the number of solutions of: Show -12x? + 5x + 2 = 0 Discriminant ---> Type of Solution

A: We can find the discriminant and type of solution in the following steps.

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A: Solution...

Q: 8. Explain, without solving, why -2 = V-5æ - 6 has no solution.

A: Our Aim is to show that -2=-5x-6 -(i) has no solution.

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Q: 2. Solve X' - 3x – 4x+12 2 0 algebraically (number line)

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Q: What is the number of non-negative integer solutions to the equation x+y+z+w=15?

A: Number of non-negative integral solutions for x1+x2+...+xn=m is given by Cn-1n+m-1 We have:…

Q: At 3:00 PM a man 139 cm tall casts a shadow 148 cm long. At the same time, a tall building nearby…

A: At 3:00 PM a man 139 cm tall casts a shadow 148 cm long The ratio of height to the shadow is  139148…

Q: 1.", The difference of the squares of two consecutive even integers is 92. What are these numbers?…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

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Q: Solve 2 [-[-530] = x(0) = 6, y(0) = = - 22 10 1 [3] 1-18-18- 16 = +

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Q: 7.) Solve а) y'+y'-by=0 6-) у"-ну' +13y=0 с.) у" -бу' +ац=0

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Q: True or false: 4 is a solution of V5x + 16 = x + 2.

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Q: What value of x is in the solution set of 2x – 3 > 11 – 5x

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Q: Please help Solve by elimination method 2x + 3y = 11, 3x + y = 11

A: Given, 2x + 3y = 11----equation 1 3x + y = 11-----equation 2

Q: Suppose that you have entered an 87-mile biathlon that consists of a run and a bicycle race. During…

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Q: How do I solve 1/2h(b1+b2) if h=3, b1=4, and b2=6?

A: In order to solve the given expression, first of all put the value of h, b1 and b2 in the given…

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Q: Suppose your car averages 38 miles per gallon on the highway if your average speed is 55 miles per…

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Q: Example 4: Solve iii) y" + 2y' – 3y = 7x – 3x?. -

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Q: What is 2x+y= 5 and 4x+2y=-6 written in substitution form and how many solutions. (Please show…

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Q: solve 3/2 61/3 69. (a) (b) 8:4 ab- xly (9st)작2 (b) (27s *) 4; -1 3s 70. (а) .1/3

A: a x32y-12 x-2y3=x32x4y-12x4 x-2y3=x6y-2 x-2y3                            =x6-2y-2+3…

Q: 9. Solve using u-substitution: 2x-2 + 5x-1– 12 = 0

A: Given 2x-2+5x-1-12=0 Solve using u- substitution

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Q: Suppose your car averages 32 miles per gallon on the highway if your average speed is 60 miles per…

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Q: 7. If the distance traveled is (3x° – 2x2 + 3x + 8) kilometers and the speed is (x +1) km/h, what is…

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Q: 2 ( y' V(4-y') (4-у?)3

A: To evaluate : I=∫02y34-y23dy I=∫02y24-y23ydy Let 4-y2 = t ⇒-2ydy =dt ⇒ydy =dt-2 Now for, y=0, t=4…

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A: I have stated the used formula in the solution.

Q: A bouncy ball is dropped such that the height of its first bounce is 7 feet and each successive…

A: The bounces of the ball represents a geometric sequence with First term=a=7Common ratio=r=67100=0.67

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Q: Solve а) 2х - у—42 — 2 4x – 2y – 6z = 5 6x – 3y – 8z = 8 y

A: according to our terms and condition i have solved first question for next part repost.

Q: Solve for u. -6 (u - 3) = 7u + 31

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