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3 years ago

Please help 20 points

Mathematics

1 answer:

kenny6666 [7]3 years ago

6 0

The y-intercept is the point where the graph crosses the y-axis.

The line crosses the y-axis at $(0, -6)$

So, the y-intercept is $-6$

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A family is taking a picture, with everyone in the family standing in a row. In the family, there are two sets of twins. In how

Wittaler [7]

Answer:

376320.

Step-by-step explanation:

Given:

There are two sets of twins in a family.

Total family member = 9

Solution:

Let family members = AA BB C D E F G

AA and BB are two set of twins .

First of we will find the arrangements of 5 family member ( 9 - 4 = 5 )

No of ways 5 family member can seat = $^{5}P_{5}$

Now, we will find the arrangements of BB.

As given that nobody is sitting next to their twin, means A twins cannot seat together.

Therefore, they can seat in these blank places given below:

......B.......B......C......... D...... E........ F........ G.......... in $^{8}P_{2}$

Similarly, B twins cannot seat together.

Therefore, they can seat in these blank places given below:

......A.......A......C......... D...... E........ F........ G.......... in $^{8}P_{2}$

Total number of arrangements of all family members = $^{5}P_{5}$ $\times$ $^{8}P_{2}$ $\times$ $^{8}P_{2}$

$=\frac{5!}{5-5!} \times\frac{8!}{8-2!} \times\frac{8!}{8-2!}\\=\frac{5!}{0!}\times\frac{8!}{6!} \times\frac{8!}{6!}\\\\=5!\times\frac{8\times7\times6!}{6!} \frac{8\times7\times6!}{6!}$

$=5\times4\times3\times2\times1\times56\times56\\=376320$

Therefore, Total number of arrangements of all family members is 376320.

5 0

4 years ago

What's the simplified radical of √26?

slava [35]

Its already fully simplified.

7 0

4 years ago

Read 2 more answers

Solve (x+1<5) n (x-4> -3). A (all real numbers) B [x|1 C [x|x<4 or x> 1)

katovenus [111]

Answer:

1 < x < 4 . . . . {x | x < 4 and x > 1}

Step-by-step explanation:

We want to write the answer as a compound inequality, if possible. As it is written, we can solve each separately.

x + 1 < 5

x < 4 . . . . . . . subtract 1

x -4 > -3

x > 1 . . . . . . . add 4

So, the solution is ...

(x < 4) ∩ (x > 1) . . . . . . the intersection of the two solutions

As a compound inequality, this is written ...

1 < x < 4

_____

Comment on the problem

The two answer choices shown don't make any sense. You might want to have your teacher demonstrate the solution to this problem.

7 0

3 years ago

A model rocket is launched with an initial velocity of 240 ft/s. The height, h, in feet, of the rocket t seconds after the launc

Setler [38]

Answer:

About 1.85 seconds and 13.15 seconds.

Step-by-step explanation:

The height (in feet) of the rocket t seconds after launch is given by the equation:

$h = -16t^2 + 240 t$

And we want to determine how many seconds after launch will be rocket be 390 feet above the ground.

Thus, let h = 390 and solve for t:

$390 = -16t^2 +240t$

Isolate:

$-16t^2 + 240 t - 390 = 0$

Simplify:

$8t^2 - 120t + 195 = 0$

We can use the quadratic formula:

$\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}$

In this case, a = 8, b = -120, and c = 195. Hence:

$\displaystyle t = \frac{-(-120)\pm \sqrt{(-120)^2 - 4(8)(195)}}{2(8)}$

Evaluate:

$\displaystyle t = \frac{120\pm\sqrt{8160}}{16}$

Simplify:

$\displaystyle t = \frac{120\pm4\sqrt{510}}{16} = \frac{30\pm\sqrt{510}}{4}$

Thus, our two solutions are:

$\displaystyle t = \frac{30+ \sqrt{510}}{4} \approx 13.15 \text{ or } t = \frac{30-\sqrt{510}}{4} \approx 1.85$

Hence, the rocket will be 390 feet above the ground after about 1.85 seconds and again after about 13.15 seconds.

4 0

3 years ago

Round 765.09 to the nearest tenth

inn [45]

765 rounded to the nearest tenth

6 0

4 years ago

Read 2 more answers