If 2/3n = -6, then 1/3n =

Which scenario is best represented by the graph below

ryzh [129]

I will guest that it will be these answers:
The best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3 are the following: -The quadratic function, y = x2, has an x-intercept at the origin -From x = -2 to x = 0, the average rate of change for both functions is negative
-For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

4 0

4 years ago

A sixteen-sided number cube (numbered 1-16) is rolled once. Find the probability of rolling an even number or 3

Nikitich [7]

Answer: 1/16

Step-by-step explanation:

5 0

3 years ago

The dimensions of the triangle are decreased to 75% Of there original measurements what is the area of the new triangle ?

Alenkasestr [34]

Answer:

Area of the new triangle = 0.28125ab square units.

Step-by-step explanation:

Take an example of a right-angled triangle with sides a, b and c.

Where a is the height and b is the base and c is the hypotenuse.

Area of the original triangle is given by: $\frac{1}{2}$ × base × height

In our case, area = $\frac{1}{2}$ × a × b

After the dimensions of our triangle have been decreased to 75%, new area becomes:

$\frac{1}{2}$ × 0.75a × 0.75b = 0.28125ab square units.

8 0

3 years 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

3 years ago

Katie types 600 words in 5 minutes. She compared her typing speed to the record typing speed for her school shown in the table.

Zepler [3.9K]

Answer:

a

Step-by-step explanation:

since the school recorded is in two minutes, they wrote 420 words, and Katie in 5 minutes wrote 600 words, if you put the average to the person who wrote 420 words in 2 minutes to-

in every too minutes they write 420 words.

so in four minutes they would of typed 840 words, which is more words than Katie in less minutes.

7 0

4 years ago