D. All rational numbers are integers
Answer:
-q + p
Step-by-step explanation:
p - (p - q) - q - (q - p) = p - p + <u>q -q</u> - q + p
= 0 + 0 - q + p
= -q + p
Answer:
The function increasing ⇒ 3 ≤ x ≤ 6 answer C
Step-by-step explanation:
∵ The vertex of the parabola is (3 , -6)
∴ The minimum value = -6 at x = 3
∵ The left part of the parabola is decreasing because the value of y decreased from 3 to -6 when 0 ≤ x ≤ 3
∵ The right part of the parabola is increasing because the value of y increased from -6 to 3 when 3 ≤ x ≤ 6
∴ The function is increasing at interval 3 ≤ x ≤ 6
the table :
(-3,8.5) .....x1 = -3 and y1 = 8.5
(-1,5.5) ....x2 = -1 and y2 = 5.5
slope = (y2 - y1) / (x2 - x1) = (5.5 - 8.5) / (-1 - (-3) = - 3 / (-1 + 3) = -3/2
coordinate plane :
(-3,0), (2,0)
notice how u have the same y values of 0....this means u have a horizontal line where no matter what x is, y will always be 0. A horizontal line has a slope of 0. And ur y intercept is (0,0)
the linear function that is in the table contains a negative slope and also has a steeper slope then the one on the coordinate plane <===
The ratio of Julia's to Vlada's peas was 3:2.
1. Julia gave Vlada 15 peas.
2. Vlada had how many peas?
3. Vlada had 4:2 peas after Julia gave her 15 more peas. (3:2+15=4:2)
4. Julia still had 15 more than Vlada.
5. Julia had 5:7 because (4:2+15=5:7)
6. To find out the amount of peas she had BEFORE she gave Vlada the peas, you subtract 5:7 from 15. That would equal 4:2.