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Tom [10]
3 years ago
13

Find the equation of the line. Write the equation using function notation. Through (-3,-9); parellel to 5x+3y=8

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0

Answer:

The equation of a parallel line in point-slope form would be f(x) = -5/3x - 14

Step-by-step explanation:

To find this, we must first find the slope of the original line. We can do this by solving for y.

5x + 3y = 8

3y = -5x + 8

y = -5/3x + 8/3

Now that we have the slope of the original line, we can use the point and slope and put them into the base form of point-slope form. Then we solve for y to get the final result.

y - y1 = m(x - x1)

y + 9 = -5/3(x + 3)

y + 9 = -5/3x - 5

y = -5/3x - 14

Then to get the function notation, we need to replace the y with f(x).

f(x) = -5/3x - 14

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HOPE I HELPED!!!


8 0
3 years ago
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zavuch27 [327]
Given:  <span>f(x) = log3 (x + 1), look for f^-1 (2)

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6 0
3 years ago
Which is an equation of the inverse of y=3/2x?
Elenna [48]

Answer:

y

=

3

2

x

Rewrite in slope-intercept form.

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y

=

3

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Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

3

2

y-intercept:  

(

0

,

0

)

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

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x

y

0

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2

3

Graph the line using the slope and the y-intercept, or the points.

Slope:  

3

2

y-intercept:  

(

0

,

0

)

x

y

0

0

2

3

image of graph

Step-by-step explanation:

7 0
3 years ago
Solve 3x2 + 4x = −5.
Alla [95]
Move the -5 over by adding 5 to both sides
3x^2+4x+5=0
must use quadratic formula

for an equation in the form
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}

a=3
b=4
c=5

x=\frac{-4+/- \sqrt{4^2-4(3)(5)} }{2(3)}
x=\frac{-4+/- \sqrt{16-60} }{6}
x=\frac{-4+/- \sqrt{-44} }{6}
x=\frac{-4+/- 2\sqrt{-11} }{6}
remember that√-1=i
x=\frac{-4+/- 2i\sqrt{-11} }{6}
x=\frac{-2+/- i\sqrt{-11} }{3}

x=\frac{-2+ i\sqrt{-11} }{3} or x=\frac{-2- i\sqrt{-11} }{3}


4 0
3 years ago
Help me find the answer please
elena-s [515]

Answer:

60

Step-by-step explanation:

m∠1=(55+65)/2=60

5 0
3 years ago
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