Write an equation for the relationship shown in the table. E 0 2 3 -0.3 3.7 5.7

Decide whether or not it is a function.

MariettaO [177]

Function because nothing repeats in the domain

3 0

3 years ago

Let f(x) = x/(x-6). Find a function y=g(x) so that (f o g)(x)=2x.

earnstyle [38]

Solve as a simultaneous equation maybe?
f(x) + g(x) = 2x or x/(x-6) + y =2x
and then solve so it becomes 2x^2 + 5x =y
then factorise into brackets or use quadratic formula

5 0

3 years ago

To estimate the height of a mountain, two students find the angle of elevation from a point (at ground level) b = 800 meters fro

Nady [450]

Answer: The height of the mountain is 1,331.4 meters (approximately)

Step-by-step explanation: From the information given, the students were standing at point b which is 800 meters from the base of the mountain and the angle of elevation from that point is 59°. Assuming that the ground is level, we can derive a right angled triangle from this set of details and hence we have triangle ABC, where angle β is the reference angle, (59 degrees), BC is the distance from the students to the base of the mountain (800 meters) and the line AC is the height of the mountain.

The line AC is the opposite, since angle B is the reference angle, therefore we shall use the trigonometric ratio as follows;

Tan β = opposite/adjacent

Tan 59 = AC/800

Tan 59 x 800 = AC

1.6643 x 800 = AC

1331.44 = AC

AC ≈ 1331.4

Therefore the height of the mountain is approximately 1,331.4 meters

6 0

3 years ago

Read 2 more answers

Y = −(x + 4)2 − 7 vertex

ICE Princess25 [194]

Answer:

The vertex (h,k) is (-4,-7).

Step-by-step explanation:

I assume you are looking for the vertex $y=-4(x+4)^2-7$ .

The vertex form of a quadratic is $y=a(x-h)^2+k$ where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.

Anyways if you compare $y=-4(x+4)^2-7$ to $y=a(x-h)^2+k$ , you should see that $a=-4,h=-4,k=-7$ .

So the vertex (h,k) is (-4,-7).

3 0

3 years ago

Read 2 more answers

The Fibonacci sequence is defined by $F_1 = F_2 = 1$ and $F_{n + 2} = F_{n + 1} + F_n$. Find the remainder when $F_{1999}$ is di

zavuch27 [327]

Answer:

The remainder is 1

Step-by-step explanation:

Given the Fibonacci sequence

F_1 = F_2 = 1, and

F_(n + 2) = F_(n + 1) + F_n

We want to find the remainder when F_(1999) is divided by 5.

Let us write the first 20 numbers of the sequence in (mod 5). They are

F_1 = 1,

F_2 = 1,

F_3 = 2,

F_4 = 3,

F_5 = 5 = 0 (mod 5),

F_6 = 3,

F_7 = 3,

F_8 = 1

F_(9) = 4

F_(10) = 0

F_(11) = 4

F_(12) = 4

F_(13) = 3

F_(14) = 2

F_(15) = 0

F_(16) = 2

F_(17) = 2

F_(18) = 4

F_(19) = 1

F_(20) = 0

We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0

Now, 1999 = 19(mod 20)

The 19th number in the sequence is 1.

So, the remainder is 1.

6 0

3 years ago

Write an equation for the relationship shown in the table. E 0 2 3 -0.3 3.7 5.7​

Write an equation for the relationship shown in the table. E 0 2 3 -0.3 3.7 5.7