MATHEMATICS HIGH SCHOOL

What is this equation in slope intercept form?
-4x + 3y = 2

Answers

Answer 1
Answer: Since the formula you are looking for is y=mx+b that means you have to leave the y alone. Your first step is to move the -4 to the other side which means your new equation is 3y=4x+2. Now you want to leave the y alone so what you have to do is divide everything by 3 so that would be y=4/3x+2/3.
Answer 2
Answer: 1. Place y variable on one side:

3y = 2 + 4x

2. Simplify to make y variable one.

y = 2/3 + 4/3 x

3. Rearrange in the form Y = mX + c, where c is the y intercept and m is the slope.
 
y = 4/3 x + 2/3

Thus, slope is 4/3 and y intercept is 2/3

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The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of the prism? (Show all steps.)

Answers

If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² =  3n³ + 13n² + 16n + 4 / 3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4

Therefore, the area of the square base is n² + 4n + 4.

What's the verbal expression for the algebraic expression 1/8y .?

Answers

your answer is going to be one over eight times y

Put these numbers in order from least to greatest.
9.5,9 3/10, and 9.9

Answers

9 3/10, 9.5, 9.9

9 3/10 is equal to 9.3

Which of the following represents the probability of 3 successes in 5 trials?a. 3C5P(S)*P(775
c. 3C5P(S)?P(A15
b. 5C3P(S)3P(F2
d. 5C3P(S)3P(F)5

Answers

Final answer:

The probability of 3 successes in 5 trials is represented by '5C3P(S)³P(F)²'. This equation reflects the combination of possible successful events, multiplied by the probability of success raised to the number of successes, and the probability of failure raised to the number of failures.

Explanation:

The correct answer is d. 5C3P(S)³P(F)².

Probability of success in binomial problems is given by the equation P(S) = nCr * (p)ⁿ * (q)ⁿ-r where n is the number of trials, r is the number of successful trials, p is the probability of success, and q is the probability of failure (1-p). In this case, there are 5 trials and 3 successes, so your p to the power of 3 (P(S)³) represents the probability of success and the your q to the power 2 (P(F)²) represents the probability of failure. The 5C3 in front is a combination which shows how many ways 3 successes can occur in 5 trials.

Learn more about Probability here:

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Answer: option B: 5C3P(S)3P(F)2

Step-by-step explanation:

correct on Edge 2020

How many zeros does the function f(x) = 2x14 − 14x6 27x3 − 13x 12 have?

Answers

Answer:

14 zeros

Step-by-step explanation:

For functions, the highest power is the amount of zeros. The highest power in this equation is 14 so it has 14 zeros.

Answer:

The function f(x) has 14 zeros.

Step-by-step explanation:

We know that by Fundamental Theorem of Algebra :

Any polynomial equation of degree n with complex coefficient has exactly 'n' complex roots counting multiplicity.

Here we are given a polynomial function f(x) as:

f(x)=2x^(14)-14x^6+27x^3-13x+12

So, this polynomial function is of degree 14.

Hence, the given polynomial function f(x) has exactly 14 zeros.

The sum of two numbers is 17 and their differences is 29. What are the two numbers?

Answers

x + y = 17
x - y = 29

x = 17 - y
x - y = 29

x = 17 - y
17 - y - y = 29

x = 17 - y
17 - 2y = 29

x = 17 - y 
- 2y = 29 - 17

x = 17 - y
-2y = 12

x = 17 - y 
y = -6

x = 17 - (-6)
y = -6

x = 17 + 6
y = -6

x = 23
y = -6

Answer:

x + y = 17

x - y = 29

x = 17 - y

x - y = 29

x = 17 - y

17 - y - y = 29

x = 17 - y

17 - 2y = 29

x = 17 - y 

- 2y = 29 - 17

x = 17 - y

-2y = 12

x = 17 - y 

y = -6

x = 17 - (-6)

y = -6

x = 17 + 6

y = -6

x = 23

y = -6

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Step-by-step explanation:
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