PLS HELP ME !! MARKING BRAINLIST IF CORRECT!! :) HELP WITH BOTH PROBLEMS

If a sentence is defined recursively by f(0)=3 and f(n+1) = f(n) +5 for n ? 0, then f(2) is A) 2 B) 3 C) 5 D) 8

VladimirAG [237]

The recursive formula $f(n+1)=f(n)+5$ means that the next term in the sequence is 5 more than the previous one.

So, we know that we start from $f(0)=3$ , which means that the next term is

$f(1) = f(0)+5 = 3+5 = 8$

Similarly,

$f(2) = f(1)+5 = 8+5 = 13$

8 0

3 years ago

Which shapes could this hexagon be decomposed into to find its area? Choose all that apply (3 points).

Scilla [17]

You can do:

-two trapezoids
-six triangles
-two parallelograms

You can't put it into one rectangle, that will definitely not work.

As you can see from the attachment, triangles work, trapezoid as well, and two parallelograms. The one rectangle would not work.

I hope this helps!
~kaikers

3 0

3 years ago

I am so lost, please help

skelet666 [1.2K]

Answer:

$u=\frac{9}{t}-\frac{1}{2} a t$

Step-by-step explanation:

Step 1: Given equation: $9=\frac{1}{2} a t^{2}+u t$

To get u, by subtraction equality property subtract both sides of the equation by $\frac{1}{2} a t^{2}$ .

$\Rightarrow 9-\frac{1}{2} a t^{2}=\frac{1}{2} a t^{2}+u t-\frac{1}{2} a t^{2}$

$\Rightarrow 9-\frac{1}{2} a t^{2}=u t$

Step 2: By division equality property, divide both sides of the equation by t.

$\Rightarrow \frac{9-\frac{1}{2} a t^{2}}{t}=\frac{u t}{t}$

$\Rightarrow \frac{9}{t}-\frac{1}{2} a t=u$

Therefore, $u=\frac{9}{t}-\frac{1}{2} a t$ .

So, in Emily’s physics class, she got $u=\frac{9}{t}-\frac{1}{2} a t$ .

7 0

2 years ago

Manuel hizo un viaje en el coche, en el cual consumió 20 litros de gasolina. El trayecto lo hizo en dos partes: en la primera, c

Alona [7]

Responder:

24 litros; 16 litros; 4 litros

Explicación paso a paso:

Dado que:

Gasolina consumida = 20 litros

Sea la cantidad de gasolina en el tanque = x

Primera parte del viaje = 2/3 de x

Segunda parte del viaje = 1/2 de (x - 2x / 3)

Cantidad de gasolina en el tanque:

2x / 3 + 1/2 (x - 2x / 3) = 20

Solución para x

2x / 3 + x / 2 - x / 3 = 20

(4x + 3x - 2x) / 6 = 20

5 veces / 6 = 20

5 veces = 20 * 6

5 veces = 120

x = 120/5

x = 24

Cantidad de gasolina en el tanque = 24 litros

Litros consumidos en cada etapa:

Primera parte = 2/3 de 24 = 48/3 = 16 litros

2a parte = 0.5 de (24 - 16) = 0.5 * 8 = 4 litros

3 0

3 years ago

The point-slope form of the equation of a line that passes through points (8,4) and (0, 2) is y-

Oksi-84 [34.3K]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

While the point-slope equation of a line is given by:

$y-y_ {0} = m (x-x_ {0})$

Where:

m: It's the slope

$(x_ {0}, y_ {0}):$ It is a point through which the line passes

In this case we have a line through:

(8,4) and (0,2)

Therefore, its slope is:

$m = \frac {2-4} {0-8} = \frac {-2} {- 8} = \frac {1} {4}$

Its point-slope equation is:

$y-4 = \frac {1} {4} (x-8)$

Then, we manipulate the expression to find the equation of the slope-intersection form:

$y-4 = \frac {1} {4} x- \frac {8} {4}\\y-4 = \frac {1} {4} x-2\\y = \frac {1} {4} x-2 + 4\\y = \frac {1} {4} x + 2$

Therefore, the cut-off point with the y-axis is $b = 2$

ANswer:

$y = \frac {1} {4} x + 2$

7 0

3 years ago