All categories

2 years ago

Offering 25 pts and a mark for real answers please!!! Flying against the jetstream, a jet travels

Mathematics

1 answer:

almond37 [142]2 years ago

4 0

Answer:

plane: 850 mph
jet stream: 150 mph

Step-by-step explanation:

The speed of the plane is the average of the two speeds. The speed of the jet stream is half their difference.

against: (5600 mi)/(8 h) = 700 mi/h

with: (4000 mi)/(4 h) = 1000 mi/h

Plane's speed = (700 + 1000)/2 mi/h = 850 mi/h

jetstream speed = (1000 -700)/2 mi/h = 150 mi/h

The rate of the jet in still air is 850 mi/h; the rate of the jetstream is 150 mi/h.

You might be interested in

Pleas help me with this

Pavel [41]

I think it is 6/16 because if you add 1/4 with 5/12

7 0

3 years ago

Read 2 more answers

Need Help With Functions. Screenshot attatched

FinnZ [79.3K]

Answer:

4x² -29x +51

Step-by-step explanation:

Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.

... g(x) = 4x² -5x = x(4x -5)

Substituting, we have

... g(x-3) = (x -3)(4(x -3) -5)

... = (x -3)(4x -17) . . . . . simplify right factor

... = 4x² -12x -17x +51

... g(x -3) = 4x² -29x +51

3 0

2 years ago

Can somebody please clearly (and correctly) explain how to successfully work out this question?

STatiana [176]

Answer:

Step-by-step explanation:

To calculate the number of tiles needed

divide 4m by 0.2m for row of tiles ⇒ 20 tiles per row

divide 3m by 0.2m for column of tiles ⇒ 15 tiles per column

number of tiles = 20 × 15 = 300

number of packs = 300 ÷ 10 = 30

cost = 30 × £34.99 = £1049.70

Since she has £1000 to spend and £1049.70 > £1000

She does not have enough to cover the wall

6 0

3 years ago

Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f

vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

$f(x)=ax^3+bx^2+cx+d$

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

$y = x^3 - x$

Equate y to 0

$x^3 - x = 0$

Expand

$x(x^2 - 1) = 0$

Express $x^2 - 1$ as difference of two squares

$x(x - 1)(x +1 ) = 0$

x = 0 or 1 or -1

For 2 x intercepts

$y = x^3 - x$

$y =(x-5)^2)(x+7)$

Equate y to 0

$(x-5)^2(x+7) = 0$

Expand

$(x-5)(x-5)(x+7) = 0$

x= 5 or x = -7

For 1 x intercept

$y = x^3$

Equate y to 0

$x^3 = 0$

Take cube roots of both sides

$x = 0$

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

$y = x^2 + x + 17$

The above function has no x intercept.

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

$y = x^2- 6x + 9$

Equate y to 0

$x^2- 6x + 9 = 0$

Expand

$x^2 - 3x - 3x + 9 = 0$

$(x - 3)(x-3) = 0$

$x = 3$

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0

2 years ago

Millie works 8 hours on Saturday and earns £6.50 an hour. She spends £2.75 on bus fares travelling to work and £4.25 on her lunc

Fudgin [204]

I think it is 42 because 2.75 + 4.25 is 7 x 6= 42

3 0

3 years ago