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3 years ago

Write the polynomial in standard form. Then name the polynomial on its degree and numbers of terms. 8-4x^2+10x^2+2x

1 answer:

6 0

8-4x^2+10x^2+2x
8+6x^2+2x
6x^2+2x+8

This is a quadratic equation since it has three terms. Now, a=6 (that is, a≠0) and therefore, it is a quadratic trinomial equation.

The correct answer is C.)

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Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

melisa1 [442]

Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ 7x -1$

The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{7}{2}$

$(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}$

Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

6 0

3 years ago

3(-0.4n-0.7)=-3.2n-2.58

svlad2 [7]

Answer:

$n=-0.24$

Step-by-step explanation:

$3\left(-0.4n-0.7\right)=-3.2n-2.58$

Use distributive property.

$-1.2n-2.1=-3.2n-2.58$

$-1.2n-2.1+2.1=-3.2n-2.58+2.1$

$-1.2n=-3.2n-0.48$

$-1.2n+3.2n=-3.2n-0.48+3.2n$

$2n=-0.48$

$\frac{2n}{2}=\frac{-0.48}{2}$

$n=-0.24$

3 0

3 years ago

Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).

vodomira [7]

Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.

$18/3 = 6
$

Therefore the common ratio is 6.

4 0

3 years ago

A System of linear equations has one or more _________ functions graphed in the same plane.There can be _______solution, no solu

Liula [17]

First Blank : Linear
Second Blank: One solution
Third Blank: Infinite solutions
Fourth Blank: (i don't know) but i am thinking that it is a single point which marks the intersection of the two (or more) graphed lines. its like the point of intersection

3 0

3 years ago

2 Points<br> What is the measure of ZBPU?<br> ОВ. 40°<br> PREVIOUS

irakobra [83]

I dont know im sorry

7 0

3 years ago