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lutik1710 [3]
3 years ago
10

How do I find the equation for a parabola

Mathematics
1 answer:
aalyn [17]3 years ago
5 0

Answer:

The easiest way to find the equation of a parabola is by using your knowledge of a special point, called the vertex, which is located on the parabola itself.

Step-by-step explanation:

If you see a quadratic equation in two variables, of the form y = ax2 + bx + c, where a ≠ 0, then congratulations! You've found a parabola. The quadratic equation is sometimes also known as the "standard form" formula of a parabola.

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When a certain polynomial is divide by binomial x-3, the result is 4x-5+6/x-3. What is the polynomial
Dmitry_Shevchenko [17]
\frac{p(x)}{x-3} = 4x-5 + \frac{6}{x-3}

The polynomial p(x) can be found by multiplying 'x-3' to every term
p(x) = (4x-5)(x-3) + 6

Now distribute and you have your answer.
p(x) = 4x^2 -12x-5x+15 +6 \\  \\ p(x) = 4x^2 -17x+21


7 0
3 years ago
Write an equation for the line that has a slope of 6 and passes through the point 4, 4
Rudik [331]

Answer:

y = 6x - 20

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 6, thus

y = 6x + c ← is the partial equation

To find c substitute (4, 4) into the partial equation

4 = 24 + c ⇒ c = 4 - 24 = - 20

y = 6x - 20 ← equation of line

8 0
3 years ago
Solve for w: 2w<9+5w
sertanlavr [38]

Answer:

w > -3

Step-by-step explanation:

2w<9+5w

Subtract 5w from each side

2w-5w<9+5w-5w

-3w <9

Divide each side by -3 remembering to flip the inequality

-3w/-3 > 9/-3

w > -3

5 0
3 years ago
Read 2 more answers
Find the value of x so that the function has the given value. f(x) = 6x + 9; f(x) = 21
Olin [163]

Answer:

x = 2

Step-by-step explanation:

We need to find the value of x so that the value of given function becomes 21 .

We have ,

f(x)=21\\\\ f(x)= 6x + 9

Now , for finding x ,

6x +9 = 21 \\\\ 6x = 21 -9 \\\\ 6x = 12 \\\\ x = 2

3 0
3 years ago
PLEASE HELP! I will award brainliest to the most helpful answer. I need an in depth explanation, not just the answer. How do you
Svetradugi [14.3K]

Answer:

y ≤ -4x+25

Step-by-step explanation:

First we need to figure out the equation for the line

The y intercept is  25

Next figure out the slope

slope = (y2-y1)/((x2-x1)

      = (49-25)/(-6-0)

      = 24/-6

    = -4

The equation for a line in slope intercept form is y = mx+b

y = -4x+25

This is a solid line so our inequality will have an equals in it.

It is shaded below, so y is less than.

If it was shaded above, y would be greater than

y ≤ -4x+25

8 0
3 years ago
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