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3 years ago

Create a quartic polynomial function in standard form with zeros 3, –4, –4, and 1? Show work.

Mathematics

1 answer:

Vilka [71]3 years ago

3 0

The polynomial is the expansion of (x-3)(x-1)(x+4)²

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Which equation in slope-intercept form represents a line that passes through the point (6,−1) and is perpendicular to the line y

damaskus [11]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

By definition, if two lines are perpendicular then the product of their slopes is -1.

If we have: $y = 2x-7$

$m_ {1} = 2\\2 * m 2 = - 1\\m_ {2} = - \frac {1} {2}$

Thus, the equation is of the form:

$y = - \frac {1} {2} x + b$

We substitute the point:

$-1 = - \frac {1} {2} (6) + b\\-1 = - \frac {1} {2} (6) + b\\-1 = -3 + b\\-1 + 3 = b\\b = 2$

Finally, the equation is:

$y = - \frac {1} {2} x + 2$

Answer:

$y = - \frac {1} {2} x + 2$

6 0

3 years ago

Bob and Cam are scuba diving. Bob is 15 meters below the surface of the water. Cam is 4 meters above Bob.

Lana71 [14]

Answer: -11 meters

Step-by-step explanation:

so for the waters surface, we are going to call that 0. if bob is at 15 meters below 0, then -15+4=-11, so he would be at-11 meters in relation to the waters surface.

6 0

3 years ago

-3(x-5)-2x=-10...... solve for x

Veseljchak [2.6K]

-3(x-5)-2x=-10

Distribute.

-3x+15-2x=-10

Combine like terms.

-5x+15=-10

Subtract 15 on both sides.

-5x=-25

Divide by -5 on both sides.

x=5

I hope this helps!
~kaikers

3 0

3 years ago

PLS ANSWER ASAP

rosijanka [135]

Answer:

7/16

Step-by-step explanation:

4 0

4 years ago

How do you solve the following equation <br> : X/-3 + 2=4

goblinko [34]

Answer:

For this equation you be inverse operation giving you the answer -6

further information down below :)

Step-by-step explanation:

Your goal for this is to isolate the variable which is x.

First, find the operation opposite of addition which is subtraction

When you add that operation to both sides with the constant(2)

2 and 2 cancel each other out, but to the for the term(4) 4-2=2

after that you have your new term which is x/-3=2

You do the same thing but to in division because the opposite of multiplication is division in this case you multiply -3 to both sides -3*-3 cancel each other out, now you have-3*2= negative times a positive equal negative in anyway so, overall you get -6.

<em>To check:</em>

you do the full equation now that you have isolated the variable, you now can do the operations normally which are. -6/-3=2 because when you divide a negative by a negative you get a positive end out with 2+2=4 which is correct and match the sum.

This means that our answer is correct :)

5 0

3 years ago