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Scorpion4ik [409]
3 years ago
14

Write the equation of a line in point-slope form that has a slope of 3 and goes through the point (2, -4)

Mathematics
1 answer:
Savatey [412]3 years ago
6 0

Answer:

Step-by-step explanation:

y=mx+b

we know your slope is 3.

so to finish the equation you need to by b

-4=3(2)+b

-4=6+b

2=b

equation y=3x+2

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Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
2 years ago
Which rational number represents a decrease in water level from 8 feet to 6 feet?
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-6/8...I guess so
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Write this in slope intercept form<br><br> (-3,-1) , (4,-1)<br><br> Thanks in advance!
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Mr. phill stopped to fill his car with gas on the way to New York. It took 1 ¼ minutes to fill a 15 liters of gas in his tank. A
KatRina [158]

Answer:

  • 4 1/6 min or 4 min 10 sec

Step-by-step explanation:

<u>Filling rate is:</u>

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<u>Total volume is 50 l, time required to fill is:</u>

  • 50/12 = 4 2/12 = 4 1/6 min or 4 min 10 sec
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3 years ago
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