Answer:
k > 1 is the solution.
Step-by-step explanation:
We are given that 'Negative 5 is fewer than 6 less than a number k', so algebraically it means that - 5 < k - 6.
Then this is a linear inequality of single variable k and we have to solve it.
Now, we have
- 5 < k - 6
⇒ - 5 + 6 < k - 6 + 6 {Adding 6 to both sides}
⇒ 1 < k
⇒ k > 1
This is the solution of the given inequality. (Answer)
Answer:
A
Step-by-step explanation:
Answer:
y = 5
Step-by-step explanation:
Step 1: Write equation
-(4y + 2) - (-3y - 6) = -1
Step 2: Solve for <em>y</em>
- Distribute: -4y - 2 + 3y + 6 = -1
- Combine like terms: -y + 4 = -1
- Subtract 4 on both sides: -y = -5
- Divide both sides by -1: y = 5
Step 3: Check
<em>Plug in y to verify it's a solution.</em>
-(4(5) + 2) - (-3(5) - 6) = -1
-(20 + 2) - (-15 - 6) = -1
-22 - (-21) = -1
-22 + 21 = -1
-1 = -1
Answer:
Directions - Identify the key components, create an exponential equation, then answer the questions.
Exponential Form: y=a\cdot b^{x},\ a\ is\ the\ \textit{starting}\ \textit{value},\ b\ is\ the\ base\ (rate).\y=a⋅b
x
, a is the starting value, b is the base (rate).
In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?
1) a = 15
4) Dogs after 1 years = 45
2) b = 3
5) Dogs after 2 years = 135
3) Equation:
y= 15 ×3x
6) Dogs after 3 years =
405
Step-by-step explanation:
First you will use the slope formula:
M= Rise/Run = Y2-Y1/X2-X1
(0,13) (-4,10)
10-13
——— = -3/4 = 3/4
-4-0.
