Answered

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Select all the functions whose graph includes the point (10, 5)
a. y = 3x
b. y = x2
c. y = x + 5
d. y = x – 5
e. y = ½ x

Sagot :

MrRoyal

Answer:

[tex]y = x - 5[/tex] and [tex]y = \½x[/tex]

Explanation:

Given

[tex](x,y) =(10,5)[/tex]

Required.

Select all functions that apply to this coordinate

To do this, we substitute 10 for x in each of the given functions. If y = 5, then the function includes the point

[tex]a.\ y = 3x[/tex]

Substitute 10 for x

[tex]y = 3 * 10[/tex]

[tex]y = 30[/tex]

This function does not apply because [tex]y \ne 5[/tex]

[tex]b.\ y = x^2[/tex]

Substitute 10 for x

[tex]y = 10^2[/tex]

[tex]y = 100[/tex]

This function does not apply because [tex]y \ne 5[/tex]

[tex]c.\ y = x + 5[/tex]

Substitute 10 for x

[tex]y = 10+5[/tex]

[tex]y = 15[/tex]

This function does not apply because [tex]y \ne 5[/tex]

[tex]d.\ y = x - 5[/tex]

Substitute 10 for x

[tex]y = 10 - 5[/tex]

[tex]y = 5[/tex]

This function includes the given points

[tex]e.\ y = \frac{1}{2}x[/tex]

Substitute 10 for x

[tex]y = \frac{1}{2} * 10[/tex]

[tex]y = 5[/tex]

This function includes the given points

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