-4x - 11 = 2(x - 3x) + 13
-4x - 11 = 2x - 6x + 13
-4x - 11 = -4x + 13
-4x + 4x = 13 + 11
0 = 24...incorrect......no solutions for this problem
There are 210 different possible combinations
<h3>How to determine the number of possible combinations?</h3>
The given parameters are:
- Types of candy, n = 10
- Candies to taste, r = 6
The number of possible combinations is calculated using:
Combination = nCr
This gives
Combination = 10C6
Apply the combination formula
Combination = (10!)/((10 - 6)!6!)
Evaluate
Combination = 210
Hence, there are 210 different possible combinations
Read more about combination at:
brainly.com/question/11732255
Answer:
y - 2 = 1/2(x + 6)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (-6, 2)
Slope <em>m</em> = 1/2
<u>Step 2: Find</u>
- Substitute in variables [Point-Slope Form]: y - 2 = 1/2(x - -6)
- Simplify: y - 2 = 1/2(x + 6)
Time taken to reach a person located 5m from the source is 0.2s
<u>Explanation:</u>
Given:
Frequency, f = 10Hz
Wavelength, λ = 2.5m
Distance, d = 5m
Time, t = ?
We know:
velocity = f X λ
v = 10 X 2.5
v = 25 m/s
We know:
Distance = speed X time
On substituting the value we get:
5 = 25 X t
t = 0.2 seconds
Therefore, time taken to reach a person located 5m from the source is 0.2s
Answer:
The answer is D.
Step-by-step explanation:
The first thing I did was substitute the variables in for x and y. This is the numbers in the answer choices: (x,y). I don't know if there is an easier way to do this, but you can replace the two numbers in for the variables since it's multiple choice.
For example,
A: -2+2*4=6 Isn't right
B: 1+2*-1= -1 Nope
C: (0,0) you can already tell it's not right because anything multiplied by 0 is 0.
D: -4+2*1=-2 This is the correct answer.