Mathematics, 11.02.2021 17:00 naynay394

Kerri said that the quotient of 4.2 divided by 5 is about 8 tenths because 4.2 divided by 5 is close to 40 tenths divided by 5. Do you agree with Kerri's reasoning?

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Answer from: Quest

the answer is. -82562234434584

step-by-step explanation:

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

Answer from: Quest

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

$y=-\dfrac{1}{2}x+8$

is for x = 0. substitute:

$y=-\dfrac{1}{2}(0)+8=0+8=8$

y-intercept is 8 → point (0, 8).

10 points and brainliest its for my semester test

Answer from: Quest

let f (x ) is a function and c be a positive real number, the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1, the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

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Kerri said that the quotient of 4.2 divided by 5 is about 8 tenths because 4.2 divided by 5 is close...

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