Based on the calculations, the slowest rate is equal to 4 gallons per minute.
<u>Given the following data:</u>
- Distance from shore = 12 km.
- In-rate = 3 gallons per minute.
- Rowing rate = 24 km per hour.
<h3>How to calculate the slowest rate.</h3>
Let's assume the boat would sink if it takes in more than 20 gallons of water.
<u>Conversion:</u>
- 24 km/h to km/min =
= 0.4 km/min.
Translating the word problem into an algebraic expression, we have;
Therefore, the slowest rate is equal to 4 gallons per minute.
Read more on distance here: brainly.com/question/10545161
Answer:
D) 0 = 2(x + 5)(x + 3)
Step-by-step explanation:
Which of the following quadratic equations has no solution?
We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.
A) 0 = −2(x − 5)2 + 3
0 = -2(x - 5) × 5
0 = (-2x + 10) × 5
0 = -10x + 50
10x = 50
x = 50/10
x = 5
Option A has a solution of 5
B) 0 = −2(x − 5)(x + 3)
Take each of the factors and equate them to zero
-2 = 0
= 0
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Option B has a solution by one of its factors as a positive value of 5
C) 0 = 2(x − 5)2 + 3
0 = 2(x - 5) × 5
0 = (2x -10) × 5
0 = 10x -50
-10x = -50
x = -50/-10
x = 5
Option C has a solution of 5
D) 0 = 2(x + 5)(x + 3)
Take each of the factors and equate to zero
0 = 2
= 0
x + 5 = 0
x = -5
x + 3 = 0
x = -3
For option D, all the values of x are 0, or negative values of -5 and -3.
Therefore the Quadratic Equation for option D has no solution.
It is $2.25 for 1 pound of apples and $9 for 4 pounds of apples
Answer:
X is equal to 7
Step-by-step explanation:
Open parenthesis.
3/4x +63/4=21/2
take common denominator
3/4x=42/4-63/4
Solve
3/4x=-21/4
3x=21
x=7
