Answer:
8 hours
Steps:
Train 1:
Hours: 1, 2, 3, 4, 5, 6, 7, 8
Miles: 75, 150, 225, 300, 375, 450, 525, 600
Train 2:
Hours: 1, 2, 3, 4, 5, 6, 7, 8
Miles: 0, 0, 100, 200, 300, 400, 500, 600
Answer:
The number of cards Paul had at the beginning was 64 cards
Step-by-step explanation:
Here we have a word problem as follows
Paul traded 13 baseball card to Dan for 4 new packs of 6 card each
Number of cards received from Dan = 6 × 4 = 24
Number of cards traded to Dan = 13
Net number of cards traded = 24 - 13 = 11
Total number of cards Paul now has = 75 cards
Therefore since Paul gained 11 cards to make his total number of cards = 75, then;
The initial amount of cards Paul had = 75 - 11 = 64 cards.
Answer:
4
Step-by-step explanation:
WA times AX = YA x YZ
8x5=40
because they have to equal each other we just have to divide 40 by 10
40/10=4 so segment YZ=4
Complete the square:
F(x) = -3x² - 6x - 5
F(x) = -3 (x² + 2x) - 5
F(x) = -3 (x² + 2x + 1 - 1) - 5
F(x) = -3 ((x + 1)² - 1) - 5
F(x) = -3 (x + 1)² + 3 - 5
F(x) = -3 (x + 1)² - 2
The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :
F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5
The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.
The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from
(x + 1)² ≥ 0 ⇒ -3 (x + 1)² ≤ 0 ⇒ -3 (x + 1)² - 2 ≤ -2
This is to say, every point on the parabola has a y-coordinate no greater than -2.
As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.