Answer:
Option B is correct
No solution
Step-by-step explanation:
Given the system of equation:
......[1]
......[2]
We can write equation [2] as
y =8-x
Substitute this in [1] we have;
![3(8-x)+3x =2](https://tex.z-dn.net/?f=3%288-x%29%2B3x%20%3D2)
Using distributive property: ![a\cdot (b+c) = a\cdot b+ a\cdot c](https://tex.z-dn.net/?f=a%5Ccdot%20%28b%2Bc%29%20%3D%20a%5Ccdot%20b%2B%20a%5Ccdot%20c)
![24-3x+3x = 2](https://tex.z-dn.net/?f=24-3x%2B3x%20%3D%202)
Combine like terms;
false.
⇒ the system of equations does not have any solution.
Using Graphing calculator:
You can see the the graph of the system of equations as shown below:
The graph of the lines do not intersect, so the graphs are parallel and there is no solution.
For this case we have a function of the form:
![y = A * (b) ^ x](https://tex.z-dn.net/?f=%20y%20%3D%20A%20%2A%20%28b%29%20%5E%20x%20%20)
Where,
A: initial value of an autographed baseball
b: growth rate
x: number of years
Substituting values we have:
![y = 300 * (1.05) ^ x](https://tex.z-dn.net/?f=%20y%20%3D%20300%20%2A%20%281.05%29%20%5E%20x%20%20)
For the moment when the value is at least 650 $ we have the following inequality:
![300 * (1.05) ^ x \geq 650](https://tex.z-dn.net/?f=%20300%20%2A%20%281.05%29%20%5E%20x%20%5Cgeq%20650%20%20%20)
Answer:
a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650 is:
![300 * (1.05) ^ x \geq 650](https://tex.z-dn.net/?f=%20300%20%2A%20%281.05%29%20%5E%20x%20%5Cgeq%20650%20%20)
Answer:
15/2= faction form
7.5= number form
Step-by-step explanation:
use the KCF
Keep Change Flip
Keep the first number which is 3
Change the division to multiplication
Flip the fraction
So basically 3 times 5 over 2
The multiply straight across
Since 3 isn't a fraction it would be 3 over 1
<span>P(4, -4) ----> (-4, 7)
x- axis from 4 to -4 ; move to the left 8 units.
y-axis from -4 to 7 ; move up 11 units
</span><span>D. left 8; up 11
</span><span>C(3, -1) translated to the left 4 units and up 1 unit.
from 3 of x-axis move to the left 4 units to arrive at -1
from -1 of y-axis move up 1 unit is to arrive at 0.
(xy) </span>→ (x-4, y + 1) (-1,0) Choice D.
Answer:
$128
Step-by-step explanation:
60% of 320 is 192
320
- <u>192</u>
128
$128 is the cost of the tv during the sale