<span>3n + 4 = 7
</span><span>3n = 7 - 4
3n = 3
n = 1</span>
Answer:
Step-by-step explanation:
You are given the relation 
This means that
The input values of this relation are 
, so the domain of this relation is 
The output values of this relation are 
, so the range of this relation is
Answer:
-2x² - 8x + 15 = 0
Step-by-step explanation:
Given the following algebraic expression;
x² – 7x + 5
-3x² - x + 10
To add the equation together;
x² – 7x + 5 + (-3x² - x + 10) = 0
x² – 7x + 5 - 3x² - x + 10 = 0
Collecting like terms, we have;
(x² - 3x²) - (7x + x) + (5 + 10) = 0
-2x² - 8x + 15 = 0
3x
We need to substitute x with 5 because the question is asking how many squats Carlos has completed if he completed 5.
3 x 5 = 15
Therefore, Carlos completed 15 squats as part of his football workout.
By the way, this question is very simple and basic. I recommend reviewing Algebra for your benefit/
Answer:
$3364.65
Step-by-step explanation:
The volume of the cone is given by the formula ...
V = (1/3)πr²h
Filling in the given numbers, we find the volume to be ...
V = (1/3)π(1.5 m)²(7 m) = 5.25π m³ ≈ 16.49336 m³
The cost of the rice will be the product of this volume and the price per cubic meter:
cost = (16.49336 m³)($204/m³) = $3364.65
The cost of the rice necessary to fill the volume is $3364.65.
_____
<em>Comment on pi</em>
If you use the value 3.14 for pi, the cost comes to $3362.94. A 3-digit value of pi only gives an answer good in its first 3 digits.
