An airplane has begun its descent for a landing. When the airplane is 150 miles west of its destination, its altitude is 25,000 feet. When the airplane is 90 miles west of its destination, its altitude is 19,000 feet. If the airplane's descent is modeled by a linear function, where will the airplane be in relation to the runway when it hits ground level?

Answers

Answer 1

Answer: The airplane has descended (25,000 - 19,000) = 6,000 feet
while flying (150 - 90) = 60 miles.

If the descent is modeled by a linear function, then the slope
of the function is

(-6000 ft) / (60 miles) = - 100 ft/mile .

Since it still has 19,000 ft left to descend, at the rate of 100 ft/mi,
it still needs to fly

(19,000 ft) / (100 ft/mile) = 190 miles

to reach the ground.

It's located 90 miles west of the runway now. So if it continues
on the same slope, it'll be 100 miles past the runway (east of it)
when it touches down.

I sure hope there's another airport there.

Answer 2

Answer:

Answer:

airplane will over shoot the runway by 100 miles (for USA Test Prep people)

Step-by-step explanation:

slope =

25,000 - 19,000

150 - 90

= 100

y = mx + b

25,000 = 100(150) + b

25,000 - 15,000 = b

b = 10,000

thus,

y = mx + b

0 = 100x + 10,000

-10,000 = 100x

x = -100

When the plane is at ground level (y = 0), it will be 100 miles past the end of the runway.

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Solve for x: 2x^2+4x-16+=0

Answers

$2x^2+4x-16=0\ /:2\n \nx^2+2x-8=0\n \nx^2-2x+4x-8=0\n \nx(x-2)+4(x-2)=0\n \n(x-2)(x+4)=0\ \ \ \Leftrightarrow\ \ \ x-2=0\ \ \ \vee\ \ \ x+4=0\n \n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=2\ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-4$

$2x^2+4x-16=0|:2\n x^2+2x-8=0\n \Delta=36\Rightarrow√(\Delta)=6\n x_1=(-b+√(\Delta))/(2a)\ \vee\ x_=(-b-√(\Delta))/(2a)\n x_1=2\ \vee\ x_2=-4$

72. What is the prime factorization of 714?F. 2 • 357
G. 2 • 3 • 119
H. 2 • 7 • 51
J. 6 • 7 • 17
K. 2 • 3 • 7 • 17

Answers

Hello,
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Answer K

In the clip from the Simpsons, Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso. It costs $40 to travel from Tucson to Flagstaff, and $90 to travel from Albuquerque to El Paso. So, how much does Bart need to pay?

Answers

Answer:

$20.

Step-by-step explanation:

Given:

In the clip from the Simpsons, Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso.

It costs $40 to travel from Tucson to Flagstaff,

And $90 to travel from Albuquerque to El Paso.

Question asked:

How much does Bart need to pay ?

Solution:

Fair to travel from Tucson to Flagstaff = $40

Fair to travel from Albuquerque to El Paso = $90

As Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso.

$Bart\ need\ to\ pay=2 *\$40 - (2)/(3) *\$90\n \n$

$=80-(180)/(3) \n \n =80-60\n \n =20$

Thus, Bart need to pay $20.

Read the real-world problem.Jonah wants to buy two copies of a book.
Which algebraic expression could Jonah use to find the value of the items?

A.
2b

B.
b • b

C.
b + d

D.

Answers

2 copies = b + b = 2b

answer is A.
2b

What is the product of 4 2/3 and 11 1/4? A. 8 3/7 B. 52 1/2 C. 44 2/12 D. 56/135

Answers

we know that

$4(2)/(3) =(4*3+2) /3\n \n =(14)/(3)$

$11(1)/(4) =(11*4+1) /4\n \n =(45)/(4)$

$4(2)/(3) *11(1)/(4)$

is equal to

$((14)/(3) )*((45)/(4) )=(630)/(12) \n\n = 52.5\n \n =52(1)/(2)$

therefore

the answer is

$52(1)/(2)$

It is to be noted that the product of 4 2/3 and 11 1/4 is 52 1/2. The correct answer is B.

Why is this so?

To find the product of 4 2/3 and 11 1/4, we can multiply the whole numbers and fractions separately, and then add the results.

4 2/3 = (4 * 3) + 2 = 14/3

11 1/4 = (11 * 4) + 1 = 45/4

Now, we multiply the fractions -

(14/3) * (45/4) = (14 * 45) / (3 * 4) = 630/12 = 52 1/2

So, it is correct to state that the product of 4 2/3 and 11 1/4 is 52 1/2. The correct answer is B.

Learn more about product at:

brainly.com/question/1712056

#SPJ6

Joe solved this linear system correctly.6x+3y=6

y=−2x+2

These are the last two steps of his work.

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6=6

Which statement about this linear system must be true?

a) x must equal 6

b) y must equal 6

c) there is no solution to this system

d) there are infinitely many solutions to this system

Answers

There are infinitely many solutions because the first two equations are actually the same just arranged differently so there's not enough information to know what x or y are in other words they could be anything.

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