Which shows the factored form of x2 – 12x – 45?

The train descends at twice the speed compared to its ascent, and it travels at 2/3 of the speed uphill relative to flat terrain.
If its speed downhill is measured at 120 miles per hour, its uphill speed would be 120 divided by 2, equaling 60 miles per hour, and its speed on flat ground would be 60 divided by (2/3), simplified to (60 times 3) divided by 2, resulting in 90 miles per hour.
Consequently, for the train to cover 45 miles on flat terrain, the time required is calculated as 45 divided by 90, which is equal to 0.5 hours, or 30 minutes.

Answer:

Step-by-step explanation:

Based on the fact that Seymour’s age is double that of Cassandra. If 16 is added to Cassandra’s age and 16 is deducted from Seymour’s age, both will be of the same age.

We need to determine their current ages.

Let Cassandra's current age be x years

Given that Seymour is twice as old as Cassandra

Thus, Seymour's current age=2x years

According to the problem, if 16 is added to Cassandra's age and 16 is subtracted from Seymour's age, their ages will equal each other.

⇒

Answer:

The recorded temperature is -0.675ºC.

Detailed explanation:

To tackle problems involving normally distributed samples, the z-score formula can be utilized.

In a distribution with mean and standard deviation , the z-score for a specific measure X is calculated as follows:

The Z-score indicates how many standard deviations a given measure deviates from the mean. Once the Z-score is determined, we refer to the z-score table to obtain the corresponding p-value. This p-value represents the likelihood that the measure's value is less than X, thereby indicating the percentile of X. By taking 1 minus the p-value, we find the probability that the measure's value exceeds X.

For this scenario, we know that:

Assuming the thermometer readings follow a normal distribution with a mean of 0◦ and a standard deviation of 1.00◦C, this leads us to

We need to determine P25, which is the 25th percentile.

This represents the value of X corresponding to Z with a p-value of 0.25, thus we utilize , applicable between and .

The recorded temperature is -0.675ºC.

Answer:

• 35,694
• 35,981
• 35,102

Step-by-step explanation:

If you compare numbers based on the hundreds digit, the digits to the left (thousands and ten-thousands) remain the same, while the hundreds digit differs.

This applies for any five-digit numbers structured like:

(3)(5)(not 7)(any digit)(any digit).

Digits to the right of the decimal point, as well as those in the tens and ones places, don't impact this comparison.

Answer:

(1, 3)

Step-by-step explanation:

Provided:

A circle containing these specified points-

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

A function resembles a mechanism that produces an output for each unique input. Each input must yield a distinct output.

The function's input is characterized as the domain, and the output corresponds to its range.

The domain is indicated by the 'x' coordinate while the range is represented by the 'y' coordinate.

This means the domain serves as the independent variable, and the range is contingent upon the domain’s values.

In this case, a relation or set of points constitutes a function only if every 'x' in the ordered pairs is unique.

Within the described relation, the pairs (1, 1) and (1, 3) share the same input. Thus, removing either one will convert the relation into a function.

Therefore, choosing (1, 3) is the right answer.