Simplify into one fraction: 3/x + 1/7

Simplify into one fraction:

3/x + 1/7

Expert Solution

3/x + 1/7

= (3 * 7 + 1 * x)/7x

= (21 + x)/7x

= (x + 21)/7x

milcah answered 2 years ago

Simplify the following equation.(5y + 7) (7y - 3)

Simplify the following equation. (5y + 7) (7y - 3)

Maria says that 4 2/3 x 7 1/5 = 4 x 7 + 2/3 x 1/5....

Maria says that 4 2/3 x 7 1/5 = 4 x 7 + 2/3 x 1/5. Explain why Maria has made a good attempt, but her answer is not correct. Explain how to work with what Maria has already written and modify it to get the correct answer. In other words, don’t just start from scratch and show Maria how to do the problem, but rather take what she has already written, use it, and make it mathematically correct. Which...

7-bit float to fraction Consider a 7-bit float representation with 3 exponent bits. that k is...

7-bit float to fraction Consider a 7-bit float representation with 3 exponent bits. that k is the number of exponent bits, and the bias is computed as 2k-1-1. For each problem, convert the given float value (provided as a series of bits) into the equivalent base 10 fraction. Simplify each fraction as much as possible. If there is a whole number part and a fractional part, put a space between them. Here are some example values in the correct format:...

discrete structures problems 1.Find a limit to show that x(In(x2))3 is O(x2). Simplify when possible to...

discrete structures problems 1.Find a limit to show that x(In(x2))3 is O(x2). Simplify when possible to avoid doing more work than you have to. You will need to use L'Hôpital's rule at least once. 2.Suppose that f is o(g). What is lim(f(n)/g(n)) as n→ ∞? 3.Suppose that algorithm has run-time proportional to log n and takes 1 millisecond to process an array of size 3,000. How many milliseconds will it take to process an array of size 27,000,000,000 ? Hint:...

1. (8pt) Consider the function f(x) = (x + 3)(x + 5)^2 √ (7 − x)...

1. (8pt) Consider the function f(x) = (x + 3)(x + 5)^2 √ (7 − x) whose first and second derivatives are f'(x) = ((x + 5)(139 + 12x − 7x^2))/2 √ (7 − x) , f''(x) = (35x^3 − 225x^2 − 843x + 3481)/ 4(7 − x)^3/2 . Note: 35x 3 − 225x 2 − 843x + 3481 has three roots: x1 ≈ 7.8835, x2 ≈ −4.3531 and x3 ≈ 2.8982. (a) (1pt) What is the domain of f(x)?...

Consider the function: f(x) = (x-1)4(x+1) a) Differentiate and simplify completely b) Find all the Critical...

Consider the function: f(x) = (x-1)4(x+1) a) Differentiate and simplify completely b) Find all the Critical Numbers (if any). If there are no CNs, write “none.” Explain why. c) Construct the correct sign diagram and formally write the intervals where f increases and the intervals where f decreases. d) Find f′′ (x) and simplify it completely e) Use the second derivative test to classify the CNs as Relative Maximizers or Relative Minimizers of f (x). If the second derivative test...

1, 1, 1, 1, 1, 3, 3, 3, 3, 6, 6, 6, 7, 7, 7, 12,...

1, 1, 1, 1, 1, 3, 3, 3, 3, 6, 6, 6, 7, 7, 7, 12, 12, 13, 17 1) Use three arguments to explain the character of the shape of the distribution. 2) Determine the presence of outliers in either bound of the distribution by the Fences Criterion. 3) Determine the presence of outliers in either bound using the Z-scores criterion. 4) Summarize data in general.

Digital Logic Simplify: F = (x’∙ y’∙ z’) + (x’∙ y ∙ z’) + (x ∙...

Digital Logic Simplify: F = (x’∙ y’∙ z’) + (x’∙ y ∙ z’) + (x ∙ y’ ∙ z’) + (x ∙ y ∙ z) F = (x + y + z’) (x + y’ + z’) (x’ + y + z’) (x’ + y’ + z)

Step 2 Data Set A x 1 2 3 4 5 6 7 y 7 7...

Step 2 Data Set A x 1 2 3 4 5 6 7 y 7 7 7 9 9 9 10 Data Set B x 1 2 3 4 5 6 7 8 9 10 11 y 4 6 6 6 8 9 9 9 10 10 10 Step 2 Find the equation for the least-squares line, and graph the line on the scatter plot. Find the sample correlation coefficient r and the coefficient of determination r2. Is r significant?...

X(Y'+Z)+[X(Y'+X)]'=1 State which of the following theorems is used to simplify A) Idempotent B) Law of...

X(Y'+Z)+[X(Y'+X)]'=1 State which of the following theorems is used to simplify A) Idempotent B) Law of Complementary C) Operations involving 1&0 D) Involution

Question