Mathematics, 23.10.2021 06:00 coolgirl10020031

Question 1 (100 points) Write the letter of the term that best describes each example or description.

Column A

Column B

1.

a discrete relation

(x) = x² - 6

D = {-2.4), R= {3,4,7)

2

b. continuous relation

3. f(x) = 4x + 3

Conto function

4. b

d. dependent variable

The type of relation defined by the function

y = -5x + 10

D={-3,-2), R= {1}

5.

e quadratic function

f. absolute value function

6.

The f(x) in f(x) - [[x]] +1.

7.

8. one-to-one function

8.

1

h. independent variable

The x in y = -2(x + 3) + 5.

[x+3 if x < 0

(2-x if xzo

8-5

i piecewise-linear function

9.

j. rate of change

10.

a

The type of relation defined by the points (0,

4). (2,5), (3, 3).

Answers: 3

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Answers

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

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation:

Answer from: Quest

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m 60 second 60 minutes

* * = 54000 meters/ hour

second 1 minute 1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m 1 km

* = 54 km / hours

hour 1000m

Answer from: Quest

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180

same as (2x + 16) + (x) = 180

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Question 1 (100 points) Write the letter of the term that best describes each example or descripti...

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