Answer:
2x-7
Step-by-step explanation:
Answer:
Step-by-step explanation:
To make a guess as to the volume, it may be easier to guess in cups rather than centimeters or inches. One may visualize that a 12 ounce soda can is about 1.5 cups. This is equivalent to 354.88 cubic centimeters or 21.656 cubic inches.
Answer:
t=40
Step-by-step explanation:
The sum of all angles in a triangle will always equal 180°. This means that:
(2t-42)+(4t-49)+(2t-49) = 180°
Let's solve this equation!
(2t-42)+(4t-49)+(2t-49) = 180
First we simplify what's on the left side:
2t-42+4t-49+2t-49 = 180
2t+4t+2t-42-49-49 = 180
8t-140 = 180
*Add 140 to both sides
8t = 180+140
8t = 320
Divide both sides by 8 to know what t means:
t = 320/8
t = 40
Answer: x = 1
Step-by-step explanation: In short, 0 is the only number such that for any number x, x + 0 = x. ... Well, it's the only number which can be multiplied by any other number without changing that other number. In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x.
Part A
We have

. To solve for the x-intercept, we set f(x) equal to 0. That is

Take the square root of both sides,
The x-intercept is (-2,0).
To solve for the y-intercept, we set x=0. That is
The y-intercept is (0, 8)
The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is
(-3, -1).
Part B.
We have

.
Factor out -2

Complete the square

Simplify

Part C
We have

.
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.