The polynomial written in standard form is the second one: x⁴y² + 4x⁴y⁵ + 10x².
In standard form, polynomials are arranged in descending order of the exponents of the variables, and the coefficients are written without any exponents. The given polynomial follows this format with the terms arranged in descending order of the exponents of x and y, and the coefficients are written as 1, 4, and 10. The exponents for x are 4, 4, and 2, while the exponents for y are 2, 5, and 0 (since any variable raised to the power of 0 is 1).
In conclusion, the second polynomial x⁴y² + 4x⁴y⁵ + 10x² is written in standard form as it follows the arrangement of terms with descending exponents of variables and coefficients written without exponents.
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Final Answer:
The expression 4a - 3b + c, when a = 2, b = 3, and c = 5, evaluates to 4.
Explanation:
To evaluate the expression 4a - 3b + c when a = 2, b = 3, and c = 5, we substitute these values into the expression:
Substitute the values of a, b, and c into the expression:
4(2) - 3(3) + 5
Perform the operations in order:
8 - 9 + 5
Calculate the final result:
-1 + 5 = 4
So, the expression evaluates to 4 when a = 2, b = 3, and c = 5.
Substituting values into expressions: When you have variables in an expression, you can substitute specific values for those variables to find the result. This is a fundamental concept in algebra and mathematics in general, used for solving equations and evaluating expressions.
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Answer:
4
Step-by-step explanation:
given the expression
4a - 3b + c ← substitute a = 2, b = 3, c = 5 into the expression
= 4(2) - 3(3) + 5
= 8 - 9 + 5
= - 1 + 5
= 4
Answer:
5 I’m guessing
Step-by-step explanation:
If it’s a degrees warmer and to the right of a number line is warm in weather then it would be 5.
The height of the object after 2 seconds is 254 feet.
The height of an object after 2 seconds can be found by substituting t = 2 into the equation for height:
h(2) = -16(2)² + 64(2) + 190
h(2) = -64 + 128 + 190
h(2) = 254
Therefore, the height of the object after 2 seconds is 254 feet.
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3 5/6
312/1000
3 3/25
Answer:
3 3/25
Step-by-step explanation:
The number 3.12 has a decimal number of 0.12. We know that numbers after the point is divided by 100. Therefore 0.12 is:
We can simplify this by dividing by 4. Four goes into twelve 3 times and into a hundred 25 times:
Theforet the answer is 3 3/25.
The decimal 3.12 as a fraction in lowest terms is (d) 3 3/25
From the question, we have the following parameters that can be used in our computation:
Number = 3.12
Express 3.12 as the sum of numbers 3 and 0.12
So, we have the following representation
Number = 3 + 0.12
Express 0.12 as a fraction
So, we have the following representation
Number = 3 + 12/100
Simplify
Number = 3 + 3/25
Evaluate the sum
Number = 3 3/25
Hence, the fraction 3.12 as a fraction in lowest terms is (d) 3 3/25
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