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3 years ago

Write the point-slope form of the equation of the line that passes through the point

Mathematics

1 answer:

N76 [4]3 years ago

5 0

The Point-slope form of a line is:

(y-y1)=m(x-x1), where m is the slope and (x1,y1) is a point...in this case:

(y-4)=(-1/2)(x+6)

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Given the rational expressions 7/(x ^ 2 - 12) and (2x - 1)/(x + 2) which of the following is true?

goldenfox [79]

Answer:

option C

Step-by-step explanation:

$\frac{\frac{2x-1}{x+2}}{\frac{7}{x^{2}-12}}=\frac{2x-1}{x+2}*\frac{x^{2}-12}{7}\\\\\\=\frac{(2x-1)(x^{2}-12)}{7(x+2)}$

3 0

2 years ago

Determine whether the given number is a solution of the given equation.

poizon [28]

Answer:

Yes

Step-by-step explanation:

Switch x for 6:

(6)-8=-2

Subtract 6 from 8:

-2=-2

-2 does equal -2 so 6 is a solution.

4 0

2 years ago

A number k is greater than 3. Which of the following is true about 승 ? 1 It is between 3 3 It is equal to 1 It is greater than 1

Alekssandra [29.7K]

If the number k is greater than 3, we have the following inequality:

$k>3$

In order to evaluate k/3, let's divide the inequality by 3:

$\begin{gathered} k>3 \\ \frac{k}{3}>\frac{3}{3} \\ \frac{k}{3}>1 \end{gathered}$

So the expression k/3 is greater than 1, therefore the correct option is D.

3 0

7 months ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

2 years ago

Madi has 5 apples and 15 oranges. what is a true statement

AlexFokin [52]

Answer:

The true statement is that the answer is 75

Step-by-step explanation:

7 0

2 years ago