Answer:
See explanation
Step-by-step explanation:
An equation that represents the path of a diver jumping off a diving board is

The diver jumped to the water when x = 0.
Then

The jumper reached the water when y = 0, then

So, point where the jumper reached the water is

Answer: Third option.
Step-by-step explanation:
By definition, Exponential functions have the following form:

Where "b" is the base (
and
), "a" is a coefficient (
) and "x" is the exponent.
It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.
Then, for an input value 0 (
) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 (
).
You can observe in the Third option shown in the image that when
,
Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.
Answer:
2
Step-by-step explanation:
We are given that a decimal number d
d=0.12345678...
Where d is formed by writing in succession all the positive integers in increasing order after decimal point.
We have to find the 100th digit of d to the right of the decimal point.
Place of first digit 1 after decimal=Tenth
Place of second digit 2 after decimal=Hundredth
Place of third digit 3 after decimal=Thousandth
Therefore, 100th digit of d to the right of the decimal point=2
Answer:
2x³ + x² - 11x - 15
Step-by-step explanation:
Step 1: Write out expression
2x³ + x² + 7x - 6 - (-2x + 10x + 10x + 9)
Step 2: Distribute negative
2x³ + x² + 7x - 6 + 2x - 10x - 10x - 9
Step 3: Combine like terms (x)
2x³ + x² + 9x - 10x - 10x - 9 - 6
2x³ + x² - x - 10x - 9 - 6
2x³ + x² - 11x - 9 - 6
Step 4: Combine like terms (constants)
2x³ + x² - 11x - 15