Help Please !What polynomial identity should be used to prove that 133 = 125 + 8?
Difference of Cubes
Difference of Squares
Square of Binomial
Sum of Cubes
Answers
Since there is sign +, we expect it to be the sum. Among all choices, only the last one includes summation, and that is sum of cubes.
Let's check it out.
Sum of cubes can be expresses as:
a³ + b³ = (a + b)(a² - ab + b²)
Let's see what are cube roots of 125 and 8:
∛125 = ∛5·5·5 = ∛5³ = 5 ⇒ a = 5
∛8 = ∛2·2·2 = ∛2³ = 2 ⇒ b = 2
Now, let's implement that in the equation of sum of cubes:
5³ + 2³ = (5 + 2)(5² - 5·2 + 2²)
125 + 8 = 7 · (25 - 10 + 4)
133 = 7 · 19
133 = 133
Therefore, sum of cubes is the right answer.
Related Questions
Divide 10 by 4and then subtract 6.2
Rewrite the equation by completing the square. 4x2 + 28x + 49 = 0 (x+) =
Variable g is 8 more than variable w. Variable g is also 4 less than w. Which pair of equations best models the relationship between g and w? A) g=w-8 , q=w+4 B) w=8g , w=g-4 C) g=w+8 , g=w+4 D) w=8g , w=g+4
What's the value of log2 (1/8) ?
(8 + 2 x 6)2 =
the two at the end of the brackets is squared it a small two
Answers
Answer: 1600
Step-by-step explanation:
2(8+2x6)
2(8+12)
2(20)
40
1600
Mark me as the brainiest answer.
= (8+12)2^2
=(20)2^2
=20x4
=80
Answers
We can write the range of the function f(x) as -
Range → (- ∞, 4].
What is function?
A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a parabola as shown in the image.
Range is the set of {y} values i.e. the values of the function f{x} in entire
domain of the function. So, from the definition of range, we can write the
range of the function as -
Range → (- ∞, 4].
Therefore, we can write the range of the function f(x) as -
Range → (- ∞, 4].
To solve more questions on functions, visit the link below-
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Answer:
C. y < or = to 5
Step-by-step explanation:
the function stops at 5, so the numbers below are apart of the function, including 5. So, it is C.
have a great day
Answers
Aptitude tests often deal with solving issues using logical reasoning and behavior when solving problems.
The correct answer is:
B. Test your actual skills, such as typing
Explanation:
There are four different types of aptitude tests.
Skills tests are usually easy tasks relating to an important function of the job, such as typing speeds or data entry.
Knowledge tests are designed to measure how much a prospective employee knows about a particular aspect of the job to ensure he or she has the required level of knowledge for the job.
Ability tests are used to measure cognitive or mental ability, and are based on presenting candidates with workplace scenarios and asking them to explain what they would do in a particular situation.
The most commonly used personality tests measure five basic factors of personality – openness to experience, extroversion, agreeableness, conscientiousness, and emotional stability. This is often used for sales positions to predict performance.
Answers
Final answer:
You can find the number of part-time employees by multiplying the total employees by the fraction of part-time workers. In this case, that results in 36 part-time employees.
Explanation:
To determine the number of employees who work part-time, we need to multiply the total number of employees (which is 288) by the fraction representing part-time workers (1/8).
So, 288 * 1/8 = 36. Therefore, there are 36 employees who work part-time in your office.
Learn more about Fraction Multiplication here:
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26pts
if there is a way to give medals can someone tell me I will medal you for answering this.
Solve for the following equation step by step and justify your steps when using an exponential property.
(7^x)^4= 7^2*7^3/7^x3
Answers
Answer:
(7^x)^4 = (7^2 * 7^3)/7^3x
7^4x = 7^5/7^3x
7^4x = 7^5-3x
4x = 5 - 3x
7x = 5
x = 5/7
PLEASE MARK BRAINLIEST!