MATH SOLVE

2 months ago

Q:
# I will Make Brainliest Please Help!!!!!!!1) Is the function described by the points in this table linear or nonlinear?x y−2 40 81 102 123 14a)linearb)nonlinear2) Which table could be a partial set of values for a linear function?x y0 01 22 83 18x y0 31 52 73 9x y0 91 82 53 0x y0 11 22 53 103) Is this function linear or nonlinear?y=2x2−4a)nonlinearb)linear4)Select linear or nonlinear to correctly classify each function.Function Linear Nonlinear72=x3+y y+1=5(x−9) 7y + 2x = 12 4y = 24 5) A function is represented by the values in the table.x y22 2620 2216 2014 1810 14Choose from the drop-down menu to complete the statement. The function represented in the table lineara)isb) is not

Accepted Solution

A:

1)Answera) linearExplanationThere is a simple way to tell if a function is linear from a table: look at the x and y-values; if the y-values are increasing or decreasing by the same amount when their corresponding x-values increases or decreases by the same amount, you have a linear function; otherwise, you don't. Look at the table From 0 to 1 x is increasing by 1; from 8 to 10 (the corresponding values), y is increasing by 2From 1 to 2 x is increasing by 1; from 10 to 12, y is increasing by 2So, every time that x increases by 1, y increases by 2; therefore, we have a linear function.Notice that form -2 to 0 x is increasing by 2; from 4 to 8 increasing by 4, which is the same rate as before (when x increases 1, y increases 1)2)Answerx y

0 3

1 5

2 7

3 9ExplanationWhen x increases by 1, y increases by 2; therefore we have a linear function. If you look at the first and third tables, y increases at different amounts every time x increases by 1; therefore, they are not linear functions.In the first table when x increases by 1, y increases by 2, 4, or 10. Therefore, the table is not a linear function.Similarly, in the third table when x increases by 1, y increases by 1, 3, or 5. Therefore, the table is not a linear function.3)Answera) nonlinearExplanationA linear function is function of the form: [tex]y=mx+b[/tex] or [tex]Ay+Bx=C[/tex] where [tex]x[/tex] is the independent variable and [tex]y[/tex] is the dependent variable. In a linear function the coefficient of the variables is always 1.Notice that the coefficient of the independent variable [tex]x[/tex], in the function [tex]y=2x^2-4[/tex], is 2; therefore the function is nonlinear.4)Answer2=x3+y Nonlineary+1=5(x−9) Linear7y + 2x = 12 Linear4y = 24 Linear Explanation 2=x3+y The coefficient of the independent variable, x, is 3; therefore, the function is not linear. y+1=5(x−9) We can simplify the expression to get:y+1=5x-45y=5x-46 Since y=5x-46 is in the form y=mx+b, we have a linear function.7y + 2x = 12Since 7y + 2x = 12 is a function of the form Ay + Bx = C, it is a linear function4y = 24 We can siplify to get:[tex]y=\frac{24}{4}[/tex][tex]y=6[/tex]Since y=6 is a function of the form y = mx+b (with m=0), it is a linear function.5)Answerb) is notExplanationFrom 22 to 20, x decreases by 2; from 26 to 22, y decreases by 4. So, when x decreases by 2, y decreases by 4.From 16 to 14, x decreases by 2; from 20 to 18, y decreases by 2. So, when x decreases by 2, y decreases by 2.When x decreases by 2, y decreases by 4 or 2; therefore the function represented in the table is not a linear function.

0 3

1 5

2 7

3 9ExplanationWhen x increases by 1, y increases by 2; therefore we have a linear function. If you look at the first and third tables, y increases at different amounts every time x increases by 1; therefore, they are not linear functions.In the first table when x increases by 1, y increases by 2, 4, or 10. Therefore, the table is not a linear function.Similarly, in the third table when x increases by 1, y increases by 1, 3, or 5. Therefore, the table is not a linear function.3)Answera) nonlinearExplanationA linear function is function of the form: [tex]y=mx+b[/tex] or [tex]Ay+Bx=C[/tex] where [tex]x[/tex] is the independent variable and [tex]y[/tex] is the dependent variable. In a linear function the coefficient of the variables is always 1.Notice that the coefficient of the independent variable [tex]x[/tex], in the function [tex]y=2x^2-4[/tex], is 2; therefore the function is nonlinear.4)Answer2=x3+y Nonlineary+1=5(x−9) Linear7y + 2x = 12 Linear4y = 24 Linear Explanation 2=x3+y The coefficient of the independent variable, x, is 3; therefore, the function is not linear. y+1=5(x−9) We can simplify the expression to get:y+1=5x-45y=5x-46 Since y=5x-46 is in the form y=mx+b, we have a linear function.7y + 2x = 12Since 7y + 2x = 12 is a function of the form Ay + Bx = C, it is a linear function4y = 24 We can siplify to get:[tex]y=\frac{24}{4}[/tex][tex]y=6[/tex]Since y=6 is a function of the form y = mx+b (with m=0), it is a linear function.5)Answerb) is notExplanationFrom 22 to 20, x decreases by 2; from 26 to 22, y decreases by 4. So, when x decreases by 2, y decreases by 4.From 16 to 14, x decreases by 2; from 20 to 18, y decreases by 2. So, when x decreases by 2, y decreases by 2.When x decreases by 2, y decreases by 4 or 2; therefore the function represented in the table is not a linear function.