All categories

3 years ago

Simplify the expression: 2f+-1+-8+-4+-3f^2

Mathematics

1 answer:

mamaluj [8]3 years ago

5 0

$2f+-1+-8+-4+-3f^2 = 2f-1 -8-4-3f^2 \\ \\ =\boxed{-3f^2+2f-13}$

You might be interested in

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

Explain what the mean absolute deviation is in general. Explain what the MAD means in the context of Robin and Evelyn’s data.

sergij07 [2.7K]

Answer: The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.

Step-by-step explanation: Add 8+1+5+0+12 and divide it by 5 and get 5.2

6 0

2 years ago

Can someone help with this please

qwelly [4]

B

= 6m^4n^6

c

2/x^-4
= 2x^4

e
3^4 w^-8
= 81 w^-8
= 81/w^8

f
m^-3
= 1/m^3

6 0

3 years ago

Please Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!! 20% of your family likes marshmallows melted on top of the sweet potato casserole. If

Allisa [31]

Answer:

Step-by-step explanation:

let's say the 18 was the 100 and x was the 20% of that 100, if they equal the same just take 20% of 18 (you will get 3.6)

Therefore is C : x/18 = 20/100.

5 0

3 years ago

How many triangles can be constructed with side lengths of 7 cm, 10 cm, and 18 cm?

lora16 [44]

B. Only one can be made but can be rotated to look like different.

3 0

3 years ago

Read 2 more answers