An expression is not considered a polynomial if it meets any of the following criteria:
1. It contains a variable raised to a negative power or a fractional power. For example, x^-2 or x^(1/3).
2. It contains a variable inside a radical (square root, cube root, etc.). For example, √x or ∛x.
3. It contains a variable in the denominator of a fraction. For example, 1/x.
4. It contains a variable multiplied by itself with a coefficient that is not a constant. For example, 2x^2 or 3x*x.
5. It contains a variable raised to a non-integer power. For example, x^π or x^√2.
6. It contains a variable in the exponent of another variable. For example, x^y.
If any of these conditions are met, the expression is not a polynomial.
Which of the following would make an expression not a polynomial
11 answers
Write down an expression for the mean of the marks 92,85,65 and x
The expression for the mean of the marks 92, 85, 65, and x can be written as:
(92 + 85 + 65 + x) / 4
(92 + 85 + 65 + x) / 4
What is the net force on a 25.1 kg slider accelerating at 3.04 m/s/s? Round answer to 1 decimal place, include units.
To find the net force, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.
Formula:
Net Force = Mass × Acceleration
Given:
Mass (m) = 25.1 kg
Acceleration (a) = 3.04 m/s²
Calculating:
Net Force = 25.1 kg × 3.04 m/s²
Net Force = 76.304 N
Rounded to 1 decimal place:
Net Force = 76.3 N
Therefore, the net force on the 25.1 kg slider accelerating at 3.04 m/s² is 76.3 N.
Formula:
Net Force = Mass × Acceleration
Given:
Mass (m) = 25.1 kg
Acceleration (a) = 3.04 m/s²
Calculating:
Net Force = 25.1 kg × 3.04 m/s²
Net Force = 76.304 N
Rounded to 1 decimal place:
Net Force = 76.3 N
Therefore, the net force on the 25.1 kg slider accelerating at 3.04 m/s² is 76.3 N.
400 is 2×2×2×2×5×5 when written as a product of its prime factors write 800 as a product of its prime factors
To write 800 as a product of its prime factors, we need to find the prime numbers that can divide evenly into 800.
First, we divide 800 by the smallest prime number, 2:
800 ÷ 2 = 400
Next, we divide the quotient, 400, by 2 again:
400 ÷ 2 = 200
Next, we divide the quotient, 200, by 2 again:
200 ÷ 2 = 100
Next, we divide the quotient, 100, by 2 again:
100 ÷ 2 = 50
Now, we try dividing the quotient, 50, by the next prime number, 5:
50 ÷ 5 = 10
Finally, we divide the quotient, 10, by 2:
10 ÷ 2 = 5
At this point, we can see that 5 is a prime number and cannot be factored any further.
Therefore, the prime factorization of 800 is:
800 = 2 × 2 × 2 × 2 × 5 × 5
In exponential form, this can be written as:
800 = 2^4 × 5^2
First, we divide 800 by the smallest prime number, 2:
800 ÷ 2 = 400
Next, we divide the quotient, 400, by 2 again:
400 ÷ 2 = 200
Next, we divide the quotient, 200, by 2 again:
200 ÷ 2 = 100
Next, we divide the quotient, 100, by 2 again:
100 ÷ 2 = 50
Now, we try dividing the quotient, 50, by the next prime number, 5:
50 ÷ 5 = 10
Finally, we divide the quotient, 10, by 2:
10 ÷ 2 = 5
At this point, we can see that 5 is a prime number and cannot be factored any further.
Therefore, the prime factorization of 800 is:
800 = 2 × 2 × 2 × 2 × 5 × 5
In exponential form, this can be written as:
800 = 2^4 × 5^2
- f(x) = 2x² +5; Translation 2 units down and 3 units left
write a g function whose graph represents the indicated transformation of the graph of f
write a g function whose graph represents the indicated transformation of the graph of f
To translate the graph of the function f(x) = 2x² + 5, 2 units down and 3 units left, we need to adjust the equation to incorporate these translations.
To move the graph 2 units down, we subtract 2 from the original function:
f(x) - 2 = 2x² + 5 - 2
To move the graph 3 units to the left, we substitute (x - 3) for x in the function:
f(x - 3) - 2 = 2(x - 3)² + 5 - 2
Simplifying further, we have:
f(x - 3) - 2 = 2(x² - 6x + 9) + 3
Expanding and combining like terms, we get:
f(x - 3) - 2 = 2x² - 12x + 18 + 3
Combining like terms again, we have:
f(x - 3) - 2 = 2x² - 12x + 21
Therefore, the function g(x) that represents the indicated translation of the graph of f is:
g(x) = 2x² - 12x + 21.
To move the graph 2 units down, we subtract 2 from the original function:
f(x) - 2 = 2x² + 5 - 2
To move the graph 3 units to the left, we substitute (x - 3) for x in the function:
f(x - 3) - 2 = 2(x - 3)² + 5 - 2
Simplifying further, we have:
f(x - 3) - 2 = 2(x² - 6x + 9) + 3
Expanding and combining like terms, we get:
f(x - 3) - 2 = 2x² - 12x + 18 + 3
Combining like terms again, we have:
f(x - 3) - 2 = 2x² - 12x + 21
Therefore, the function g(x) that represents the indicated translation of the graph of f is:
g(x) = 2x² - 12x + 21.
Which statement is the best description of the scientific method? (This is for science)
Responses
1. It is a way of convincing people that certain facts are true.
2. It involves continuing to collect data until you get the results you want.
3. It involves collecting data and observations to test ideas.
4. It is a way of explaining natural phenomena.
Responses
1. It is a way of convincing people that certain facts are true.
2. It involves continuing to collect data until you get the results you want.
3. It involves collecting data and observations to test ideas.
4. It is a way of explaining natural phenomena.
The best description of the scientific method is:
3. It involves collecting data and observations to test ideas.
The scientific method is a systematic approach used by scientists to gather empirical evidence, make observations, form and test hypotheses, and draw conclusions based on evidence. It involves gathering data and conducting experiments to test ideas and theories, with the goal of gaining a better understanding of the natural world.
3. It involves collecting data and observations to test ideas.
The scientific method is a systematic approach used by scientists to gather empirical evidence, make observations, form and test hypotheses, and draw conclusions based on evidence. It involves gathering data and conducting experiments to test ideas and theories, with the goal of gaining a better understanding of the natural world.
1 answer