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3 years ago

What is the slope of a line that is parellel to y=3x+5?

Mathematics

2 answers:

Dafna11 [192]3 years ago

8 0

Answer:

Step-by-step explanation:

remember the equation y=m*x+b? well, b and m are both numbers

in this case, m is 3, since 3x= 3*x and b=5.

m is the slope, and b is the y intercept (what y is when x is equal to 0)

a line is parallel if the slope doesn't change but the y intercept changes, aka moving the line up or down. ask me questions in the comment section if you have any

cestrela7 [59]3 years ago

7 0

Answer:

The slope m, is 3

i.e. Y=Mx+c where m is slope

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3 years ago

The tables represent the functions f(x) and g(x).

dolphi86 [110]

A function assigns the values. The correct option is C, x=-6.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

A.) When the value of x is -12,

f(-12) = 2/3(-12) + 7 = -1

g(-12) = 2(-12) + 15 = -9

B.) When the value of x is -9,

f(-9) = 2/3(-9) + 7 = 1

g(-9) = 2(-9) + 15 = -3

C.) When the value of x is -6,

f(-6) = 2/3(-6) + 7 = 3

g(-6) = 2(-6) + 15 = 3

D.) When the value of x is -3,

f(-9) = 2/3(-3) + 7 = 5

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Hence, the correct option is C, x=-6.

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2 years ago

Which graph is the graph of this fucntion

OverLord2011 [107]

<h2>Answer:</h2>

Graph C

<h2>Step-by-step explanation:</h2>

This is a piecewise-defined function because it is defined by two equations over a specified domain and this domain is $[0,5]$ . The first function comes from the pattern of the square root function $f(x)=\sqrt{x}$ and the second one is a linear function.

The graph of $3\sqrt{x+1}$ has been shifted one unit to the left of $f(x)=\sqrt{x}$ and stretched vertically where each y-value is multiplied by 3.

Moreover, we can prove that:

The graph of $3\sqrt{x+1}$ passes through points (0,3) and (3,6):

$y= 3\sqrt{x+1} \\ \\ \\ \bullet \ (0,3): \\ \\ let \ x=0: \\ \\ y= 3\sqrt{0+1} \therefore y=3\sqrt{1} \therefore y=3(1) \therefore y=3 \\ \\ \\ \bullet \ (3,6): \\ \\ let \ x=3: \\ \\ y= 3\sqrt{3+1} \therefore y=3\sqrt{4} \therefore y=3(2) \therefore y=6$

It passes through these points.

The graph of $5-x$ passes through points (5,0) and (3,2):

$y=5-x \\ \\ \\ \bullet \ (5,0): \\ \\ let \ x=5: \\ \\ y=5-0 \therefore y=5 \\ \\ \\ \bullet \ (3,2): \\ \\ let \ x=3: \\ \\ y=5-3 \therefore y=2$

It passes through these points.

____________________

<h3>Finally, the graph is shown bellow and matches Graph C.</h3>

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