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3 years ago

Which equation is not equivalent to 2x + 14 = 4x - 6

Mathematics

2 answers:

nasty-shy [4]3 years ago

7 0

D.). X=10. It is the same equation, only simplified.

LuckyWell [14K]3 years ago

6 0

2x + 14 = 4x - 6
14 = 2x - 6
20 = 2x
10 = x

a) 14 + 6 = 2x
20 = 2x
10 = x

b) -2x = 20
x = -10

c) 2x - 4x = -20
-2x = -20
x = 10

d) x = 10

b is the only one that doesn’t equal 10.

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Likurg_2 [28]

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4 years ago

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Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

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https://vm.tiktok.com/ZSej1BhxL/

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