Hello there! Given the equation, we can solve through a series of steps:
1. Convert
In this step, we convert the mixed numbers to make them improper:
2 x 4 + 1 = 9, which means -4 1/2 = -9/2
4 x 3 + 3 = 15, which means -3 3/4 = -15/4
2. Multiply
Now that we have the improper fractions, we can multiply accordingly:
(-9/2 • -15/4) = -135/8
3. Simplify
Since we have our result, we can simplify to a mixed number:
-135/8 = 16 7/8
Your final answer is 16 7/8. Hope this helps!
Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
A) 2 units
B) yes
For A) |5-3|=|2|=2 is the distance from his house to school.
For B)
The distance from his house to school is 2 units; the distance from school to the grocery store is |3--9|=|12|=12. The total distance is 2+12 = 14.
The distance from his house to school is 2 units; the distance from school to the community center is |-4-6|=|-10|=10. The total distance is 2+10 = 12.
The distance from the house to the school to the grocery store is greater.
