Mathematics: Solve the equation below for x. 0.2 (3x + 2) + 4 = 26

Solve the equation below for x. 0.2 (3x + 2) + 4

Ответ:

kayeeii

13.01.2022

Mathematics

x= 36

Step-by-step explanation:

0.2(3x+2)+4=26

0.6x+0.4+4=26

0.6x+4.4=26

0.6x=21.6

x=36

0,0(0 оценок)

Ответ:

thakidd4567

16.05.2021

Mathematics

Part A) The vertex is the point (-1,0)

Part B) The axis of symmetry is x=-1

Step-by-step explanation:

Part 1)

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to the x-coordinate of the vertex

x=h -----> equation of the axis of symmetry

In this problem we have

$f(x)=-x^{2}-2x-1$

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+1=-x^{2}-2x$

$f(x)+1=-(x^{2}+2x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+1-1=-(x^{2}+2x+1)$

$f(x)=-(x^{2}+2x+1)$

Rewrite as perfect squares

$f(x)=-(x+1)^{2}$ -----> equation in vertex form

The vertex of the parabola is the point (-1,0)

Is a vertical parabola open downward

The axis of symmetry is equal to

x=-1

see the attached figure to better understand the problem

Identify the axis of symmetry and vertex of f(x) = –x^ 2 –2x–1. axis of symmetry: x = – 1; vertex:

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Solve the equation below for x.
0.2 (3x + 2) + 4 = 26

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