Answer:
f(n)= 2,000+150n
Step-by-step explanation:
hope this helps.
Responder:
x = 4.48
y = 4.86
z = -1.04
Explicación paso a paso:
Dadas las ecuaciones simultáneas;
6X + 8Y - 4Z = 5 .... 1
1X + 2Y + 5Z = 9 ... 2
9X - 3Y + 3Z = 6 .... 3
Primero necesitamos reducir el sistema de ecuaciones
Ecuación 1 * 1
Ecuación 2 * 4
__________
6X + 8Y - 4Z = 5
4X + 8Y + 20Z = 36
Restar
6x-4x - 4z-20z = 5-36
2x-24z = 31 ... 4
también
ecuación 2 * 3
ecuación 3 * 2
_______________
1X + 2Y + 5Z = 9 * 3
9X - 3Y + 3Z = 6 * 2
_______________
3x + 6y + 15z = 27
18x - 6 años + 6z = 12
Agregar
3x + 18x + 15z + 6z = 27 + 12
21x + 21z = 39 ...... 5
Resolviendo 4 y 5
2x-24z = 31 ... 4 * 21
21x + 21z = 39 ...... 5 * 2
____________
42x - 504z = 651
42x + 42z = 78
Sustraer
-504x - 42z = 651-78
-546z = 573
z = -573/546
z = -1.05
Sustituye z = -1.05 en 4
De 4;
2x-21z = 31
2x - 21 (-1,05) = 31
2x + 22,04 = 31
2x = 31-22.04
2x = 8,96
x = 8,96 / 2
x = 4,48
Obtener y
De 2:
X + 2Y + 5Z = 9
4.48 + 2y + 5 (-1.04) = 9
2 años + 4,48-5,2 = 9
2y = 9 + 0,72
2 años = 9,72
y = 9,72 / 2
y = 4,86
Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)
Just divide 5 by 37 and you get: .1351 or .14 rounded up.
Answer:
Step-by-step explanation:
A product is formed by multiplying the factors. Here, you want the product of -2 and x, so that is indicated as ...
-2x
You want that product greater than 30. The symbol for "greater than" is >, so you have ...
-2x > 30 . . . . the desired inequality
__
The most straightforward way to solve this is to divide by the coefficient of x. Because that is negative, you must reverse the inequality symbol from "greater than" to "less than."
x < 30/(-2)
x < -15 . . . . . . the desired solution
_____
<em>Additional comment</em>
It may not be clear why multiplying or dividing an inequality causes the symbol to be reversed. You can think of it as reflecting the inequality over the point x=0 on the number line. Where larger numbers were on the right, they get reflected to points farther left, so as negative numbers, they are smaller numbers.
Consider ...
1 < 2
-1 > -2
To solve this problem you must follow the steps below:
1. The problem says that:
- The<span> hot air balloon is at an altitude of 240 feet.
- It descends at 30 feet per minute.
2. Therefore, you have:
x: the time in minutes.
y: the altitute in feet.
3. Keeping all this information on mind, you can write the following equation:
y=240-30x
4. Therefore, as you can see, the answer is:
</span>
y=240-30x