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2 years ago

F(x) = | 3x +4 |+2 g(x)=4 Find (f +g)(x)

Mathematics

1 answer:

iVinArrow [24]2 years ago

8 0

Answer:

|3x + 4 | + 6

Step-by-step explanation:

(f+g)(x)= f(x) + g(x)

= |3x+4| + 2 + 4

= | 3x + 4 | + 6

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a beverage is made by mixing 3 parts of water with 5 parts of fruit juice how many parts of water are mixed with 1 part on fruit

Fittoniya [83]

Answer:

$\frac{3}{5}=0.6$

Step-by-step explanation:

Given the initial ratio of 3 parts water to 5 parts fruit juice, you can set up a proportion (equivalent ratios) to determine the amount of water needed with just 1 part of fruit juice:

$\frac{water}{fruit}=\frac{3}{5}=\frac{x}{1}$

cross multiply: 5x = 3

divide: 5x/5 = 3/5 or x = 3/5

3/5 = 0.6 parts water

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2 years ago

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1.Define phase shift. Could every sine function be expressed as a phase shifted cosine function? Explain.

Ann [662]

A phase shift is defined as the amount of x by which sinusoid is shifted to the left or right.

And yes, every sine function be expressed as a phase shifted cosine function:

sin(t)=cos(90-t)

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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2 years ago

(x + 4)2 – 3(x + 4) – 3 = 0 Select the solution(s) of the original equation.

Aneli [31]

Answer:

x=−7

Step-by-step explanation:

(x+4)(2)−3(x+4)−3=0

(x)(2)+(4)(2)+(−3)(x)+(−3)(4)+−3=0(Distribute)

2x+8+−3x+−12+−3=0

(2x+−3x)+(8+−12+−3)=0(Combine Like Terms)

−x+−7=0

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2 years ago

What number must you add to complete the square? x^2 + 2x = -1

Andru [333]

$\large\begin{array}{l} \textsf{You must add 1 to complete the square.}\\\\ \textsf{There is a very common special product: (square of a sum)}\\\\ \mathsf{(a+b)^2=a^2+2ab+b^2}\\\\\\ \textsf{Take the given equation:}\\\\ \mathsf{x^2+2x=-1\qquad(i)}\\\\\\ \textsf{The first term is a square (x squared)}\\\\ \textsf{The second term is a product of 2, x and 1.} \end{array}$

$\large\begin{array}{l}\\\\\\ \textsf{We need to find a proper value for b, so that if we add it to}\\\textsf{the left side of the equation, we get a perfect square.}\\\\ \textsf{So,}\\\\ \begin{array}{cccccccccc} \mathsf{a^2}&\!\!\!+\!\!\!&\mathsf{2}&\!\!\!\cdot\!\!\!&\mathsf{a}&\!\!\!\cdot\!\!\!&\mathsf{b}&\!\!\!+\!\!\!&\mathsf{b^2}&=\mathsf{(a+b)^2}\\\\ \mathsf{\downarrow}&&&\!\!\!\!\!&\downarrow&\!\!\!\!\!&\downarrow&&\downarrow\\\\ \mathsf{x^2}&\!\!\!+\!\!\!&\mathsf{2}&\!\!\!\cdot\!\!\!&\mathsf{x}&\!\!\!\cdot\!\!\!&\mathsf{1}&\!\!\!+\!\!\!&\mathsf{1^2}&=\mathsf{(x+1)^2} \end{array}\\\\\\ \textsf{Just by comparing the expressions above, we can conclude that}\\\textsf{b must be equal to 1, so we get a perfect square:}\\\\ \mathsf{(x+1)^2=x^2+2x+1} \end{array}$

$\large\begin{array}{l}\\\\\\ \textsf{Back to (i), adding 1 to both sides:}\\\\ \mathsf{x^2+2x+1=-1+1}\\\\ \boxed{\begin{array}{c} \mathsf{(x+1)^2=0} \end{array}} \end{array}$

$\large\begin{array}{l}\\\\\\ \textsf{If you want to solve this equation for x, you will find}\\\\ \mathsf{x+1=0}\\\\ \mathsf{x=-1}\quad\longleftarrow\quad\textsf{(solution)} \end{array}$

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$\large\begin{array}{l} \textsf{Any doubt? Please, comment below.}\\\\\\ \textsf{Best regards! :-)} \end{array}$

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2 years ago

Read 2 more answers

2x^2+9x+6=0 quadtratic equation

Studentka2010 [4]

Hello from MrBillDoesMath!

Answer:

x = ( -9 + sqrt(33) ) /4

and

x = ( -9 - sqrt(33) ) /4

Discussion:

Using the quadratic formula with a = 2, b = 9 and c = 6 gives

x = ( -b +\- sqrt(b^2-4ac) )/2a

x = ( -9 +\- sqrt(9^2 - 4*2*6)) / (2*2) =>

x = ( -9 +\- sqrt (81- 48)) / 4 =>

x = ( -9 +\- sqrt(33) ) /4

Thank you,

MrB

5 0

2 years ago