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CaHeK987 [17]
3 years ago
11

Which expression concerts 100 inches per minute to feet per minute

Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

Answer:

The third choice, or 100 in/ 1 min × 1 ft/ 12 in.

Step-by-step explanation:

When converting, you want to use the proper units.

When going from inches to feet, note that 1 foot = 12 inches.

100 in/ 1 min × 1 ft/ 12 in

(the inches cancel, and you are left with ft per min.)

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Which equation represents the graph of y= cosx reflected across the x-axis then shifted vertically down by 2 units?
Phoenix [80]

Answer:

  y = -cos(x) -2

Step-by-step explanation:

Multiplying the function value by -1 reflects it across the x-axis. Adding -2 to the function value shifts it down by two units.

reflected: y = -cos(x)

then shifted: y = -cos(x) -2

6 0
3 years ago
determine if the ordered pair is a solution of the equation is (2,4) a solution of y = 10 -3×? true or false​
anzhelika [568]

Answer:

False

Step-by-step explanation:

4 = 10 - 3²

4 = 10 - 9

4 = 1

7 0
3 years ago
in the function y-1=1/2(x-6)^2 what effect does the number 6 have on the graph, as compared to the graph y=x^2
butalik [34]

Answer: The graph is shifted 6 units to the right.

Step-by-step explanation:

It is important to remember that:

When f(x-k), then the function is shifted "k" units to the right.

Knowing this and given the quadratic parent function y=x^2 and the function y-1=\frac{1}{2}(x-6)^2, you can observe that one of the transformations is the following:

f(x-k)

Where:

k=6

Therefore, you can notice that the effect is:

The graph is shifted 6 units to the right.

7 0
3 years ago
Which of the following is NOT a linear factor of the polynomial function?
Natalija [7]

Answer:

Among the four choices, (x + 5) is the only one that is not a linear factor of this polynomial function.

Step-by-step explanation:

Let a denote some constant. A linear factor of the form (x - a) is a factor of a polynomial f(x) if and only if f(a) = 0 (that is: replacing all x in the polynomial f(x) \! with the constant a\! would give this polynomial a value of 0.)

For example, in the second linear factor (x - 2), the value of the constant is a = 2. Verify that the value of f(2) is indeed 0. (In other words, replacing all x in the polynomial f(x) \! with the constant 2 should give this polynomial a value of 0\!.)

\begin{aligned}f(2) &= 2^3 - 5\times 2^2 - 4 \times 2 + 20 \\ &= 8 - 20 - 8 + 20 \\ &= 0 \end{aligned}.

Hence, (x - 2) is indeed a linear factor of polynomial f(x).

Similarly, it could be verified that (x - 5) and (x + 2) are also linear factors of this polynomial function.

Rewrite the first linear factor (x + 5) in the form (x - a) for some constant a: (x + 5) = (x - (-5)), where a = -5.

Calculate the value of f(5).

\begin{aligned}f(5) &= (-5)^3 - 5\times (-5)^2 - 4 \times (-5) + 20 \\ &= (-125) - 125 + 20 + 20 \\ &= -210\end{aligned}.

f(5) \ne 0 implies that (x - (-5)) (which is equivalent to (x + 5)) isn't a linear factor of this polynomial function.

3 0
3 years ago
How do u find the mean median mode and range?
seropon [69]
Mean is the average. So you add up all the numbers and divide by how many numbers there were.

Mode is the number that occurred the most.

Median is the number that is in the middle when you list the numbers from least to greatest or greatest to least.

Range is calculated when you subtract the biggest number in the group by the smallest number.
6 0
3 years ago
Read 2 more answers
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