Mathematics, 04.12.2020 23:10 bibigardeax

The table below (in the image) represents a linear function f(x) and the equation represents a function g(x): 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).

PART B: Which function has a greater y-intercept? Justify your answer.

Please answer both questions <3<3<3

The table below (in the image) represents a linear function f(x) and the equation represents a func

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Answer from: dstyle

9514 1404 393

A) The slope of f(x) is the amount of change in f(x) when x changes by 1. The slope of g(x) is the coefficient of x. The slope of f(x) is greater than the slope of g(x).

B) The y-intercept of f(x) is -1. The y-intercept of g(x) is -7. The y-intercept of f(x) is greater.

Step-by-step explanation:

A) The slope of a function is the ratio of the change in function value to the change in input value. For f(x), we can use the convenient inputs 0 and 1 and look at the change in output (f(1) -f(0)) = (3 -(-1)) = 4. The slope of f(x) is 4.

When the function is given by a linear equation, the slope is the coefficient of x. For g(x), the coefficient of x is 2, so the slope of g(x) is 2.

The slope of f(x) (4) is greater than the slope of g(x) (2).

B) The y-intercept is the function value for an input of 0. The table shows f(0) = -1. The equation shows g(0) = -7.

The y-intercept of f(x) (-1) is greater than the y-intercept of g(x) (-7).

Answer from: Quest

think about it deeply and passionately about this property

i am sorry

Find the size of angle xyz give your answer to one decimal place. rectangle triangle (angle 90°) and

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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