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3 years ago

What is the simplified form of the quantity of x plus 3, all over 4 + the quantity of x plus 2, all over 4?

Mathematics

1 answer:

Naily [24]3 years ago

4 0

x+3
4+(x+2)
4
or
x+3 * 1
x+6 4

x+3
4x+24

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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

3 0

5 months ago

Please help me and show your work thank you

Furkat [3]

Answer:

She has walked <u>7233.6 ft</u>

Step-by-step explanation:

13.7 miles ÷ 10 = 1.37 miles

1 mile = 5280 ft

5280 x 1.37 = 7233.6 ft (or 7234 if rounded to the nearest ft)

6 0

2 years ago

C more than 5 as an algebraic expression??????

Natasha_Volkova [10]

C more than 5 as an algebraic expression c>5

3 0

1 year ago

Read 2 more answers

Charlie picks 468 tomatoes from his garden. He puts 12 tomatoes in each bag. He sells each bag for $8. What TWO equations can Ch

jeka57 [31]

Answer:

Step-by-step explanation:

5 0

2 years ago

Solve for x: -4x - 12 < 12

aliina [53]

Seems like you are an imposter ;). This is Middle School math.

Anyways...

Answer:

x>6

Step-by-step explanation:

-4x-12<12

Add 12 on both sides.

-4x<24

Divide both sides by -4 to isolate x. Remember that if you are dividing by a negative, flip the sign!

x>6

Hope this helps!

6 0

2 years ago