To determine the appropriate landing speed of an airplane, the formula D = .1x 2 − 3x + 22 is used, where x is the initial landing speed in feet per second and D is the distance needed in feet. If the landing speed is too fast, the pilot may run out of runway; if the speed is too slow, the plane may stall. What is the appropriate landing speed if the runway is 800 feet long? Show all of your work or explain how you came up with your solution

Answers

Answer 1

Answer: $800=0.1x^2-3x+22\n0.1x^2-3x-778=0\n\Delta=(-3)^2-4\cdot0.1\cdot(-778)=9+3112=3121\n√(\Delta)=√(3121)\nx_1=(-(-3)-√(3121))/(2\cdot0.1)=(3-√(3121))/(0.2)=15-5√(3121)\approx-264.3\nx_2=(-(-3)+√(3121))/(2\cdot0.1)=(3+√(3121))/(0.2)=15+5√(3121)\approx294.3$

Approx. 294.3 ft/s

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Can anyone help please

Hayden brought 4 tickets to a football game. He paid 5% service charge for buying them from a broker. His total cost was $105.00. What was the price for each ticket, not including the service charge?

Answers

Answer: The price for each ticket is $525.

Step-by-step explanation:

Since we have given that

Number of tickets = 4

Total cost = $105.00

Rate of service charge = 5%

Let the original cost be 'x'.

According to question, we get that

$4x+0.05* 4x=105\n\n4x+0.2x=105\n\n4.2x=105\n\nx=(105)/(4.2)\n\nx=\$525$

Hence, the price for each ticket is $525.

4x + 0.05(4x) = 105.00

x = $25

Convert 70% to a number when the whole is 150

Answers

Answer:

46 2/3 or 46.67

Step-by-step explanation:

100/150×70=46.67

use hundred n available positions,in this case 70 is the percentage and 150 is the whole so multiply the percent by hundered and then divide by 150 to get ur answer

NEED HELP ASAP WILL MARK BRAINLIEST!!!!!!!!!What is the solution to the system of equations

-4x - 5y - z = 18
-2x - 5y -2z=12
-2x + 5y +2z=4

A) (4,0,2)
B) (-4,0,-2)
C) (-4,2,0)
D) (-4,0,2)

Answers

Answer:

Step-by-step explanation:

When we have multiple answers, we can check each to find the solution. Each ordered pair is written as (x,y,z). We substitute each into the equations to find which satisfy all equations and which do not.

A) (4,0,2)

-4(4)-5(0)-(2)=18

-16-0-2=18

$-18\neq18$

Not a solution

B) (-4,0,-2)

-4(-4)-5(0)-(-2)=18

16-0+2=18

18=18 is true. We now try the other equations.

-2(-4)-5(0)-2(-2)=12

8-0+4=12

12=12

We try the last equation.

-2(-4)+5(0)+2(-2)=4

8+0+-4=4

4=4

We no longer need to try C or D because a system of equations only has one solution. B is the solution.

Which is greater: -999 + (-1)?

Answers

Step-by-step explanation:

To determine which is greater between -999 and -1 when added together, we can simply perform the addition:

-999 + (-1) = -1000

Therefore, -1000 is the result of adding -999 and -1.

What is the value of x, when -25(x - 4) = -55(x - 10)?A) x = 5
B) x = -5
C) x = 8 1/8
D) x = 15

Answers

-25(x-4)=-55(x-10)
-25x+100 = 55x-550 |+25x
100 = 80x-550 |+550
650 = 80x | /80
65/8 = x
x = 8 1/8
C

Answer:

Step-by-step explanation:

The answer is d i took the test

What is the algebraic expression for the following word phrase the quotient of 3 and z

Answers

Answer:

$(3)/(z)$ .

Step-by-step explanation:

Given : phrase the quotient of 3 and z.

To find :what is the algebraic expression for the following word phrase .

Solution : We have given

Phrase the quotient of 3 and z.

We get the quotient when we divide the two terms.

So , We need to divide 3 and z to get the quotient.

Quotient = $(3)/(z)$ .

Therefore, $(3)/(z)$ .

The algebraicexpression for the word phrase "the quotient of 3 and z" is 3/z or 3 ÷ z.

We have,

The word "quotient" indicates division, so we know that we need to perform a division operation.

In this case, we are dividing the number 3 by the variable z.

In algebraic notation, the division is typically represented using the forward-slash (/) or the division symbol (÷).

Therefore, we can write "the quotient of 3 and z" as 3/z or 3 ÷ z.

Both expressions convey the idea that we are dividing 3 by the value of z.

Thus,

The algebraicexpression for the word phrase "the quotient of 3 and z" is 3/z or 3 ÷ z.

Learn more about expressions here:

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