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3 years ago

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.

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

Answer Check

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.

Answer

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

8 0

2 years ago

Which rational number represents a decrease in water level from 8 feet to 6 feet?

Alexxx [7]

-6/8...I guess so
Tell me if it is right or not

6 0

3 years ago

Write this in slope intercept form (-3,-1) , (4,-1) Thanks in advance!

bearhunter [10]

Y= -1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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3 years ago

There are 62rows of 9 chairs in the movie theater about how many chairs are there

dem82 [27]

It's easy it's just 62×9 it equals 558

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3 years ago

Read 2 more answers

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:

Filling rate is:

15 ÷ 1 1/4 = 15 ÷ 5/4 = 15 × 4/5 = 12 l/min

Total volume is 50 l, time required to fill is:

50/12 = 4 2/12 = 4 1/6 min or 4 min 10 sec

4 0

3 years ago