Mathematics, 01.07.2019 13:00 nickwwe13

The table below represents a linear function f(x) and the equation represents a function g(x). x f(x) −1 −11 0 −1 1 9 g(x) g(x) = 5x + 1 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

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Answer from: homer57idkiminatest

The slope of f(x) is 10 the slope of g(x) is 5. g(x) has a greater y-intercept.

Explanation:

From the table it is noticed that the line f(x) passes through the points (-1,-11) and (0,-1).

Slope of the line,

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-1-(-11)}{0-(-1)} =\frac{10}{1}=10$

Therefore the slope of f(x) is 10 and the y intercept is (0,-1).

y=mx+b

Where m is the slope and b is the y-intercept.

g(x)=5x+1

On comparing g(x) with slope intercept form we get,

m=5,b=1

Therefore slope of g(x) is 5 and the y intercept is (0,1).

Therefore the slope of f(x) is greater than g(x) and the function g(x) has a greater y-intercept.

Answer from: Quest

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: $\sqrt{\frac{ {72x}^{16} }{ {50x}^{{{36} }}}} = \frac{ { \sqrt{72}x}^{ {16}^{ (\frac{1}{2}) } } }{ { \sqrt{50} x}^ {{36}^{ (\frac{1}{2}) } }}$ multiply exponents per exponent rules to get: $\frac{ { \sqrt{72}x}^{8} }{ { \sqrt{50}x}^{18} }$ remember you subtract exponents from the denominator and add exponents in the numerator so: $\sqrt{ \frac{72}{ 50}} \times ( {x}^{(8 - 18) } ) = \sqrt{ \frac{36}{25} } \times ( {x}^{ - 10} )$ simplify further: $\frac{6}{5} {x}^{ - 10} = \frac{6}{5 {x}^{10} }$ so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.
Plz hurrywhat is the simplified form of ? assume x ≠ 0.

Plz hurrywhat is the simplified form of  ? assume  x  ≠ 0.

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

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