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Masteriza [31]
3 years ago
6

Given g(x) = f(x) + k. Identify a value of k that transforms finto g. Round your answer to the nearest integer. g 2 X - 14 -2 O

2 2 f k =​
Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

Answer:

  • k = -5

Step-by-step explanation:

We can see the lines are parallel

The function f(x) has y-intercept of 2 at point (2, 0) and the function g(x) has y-intercept of -3 at point of (-3, 0)

If f(x) = mx + 2, then g(x) = mx - 3

<u>The value of k is the difference of y-intercepts as slopes are same due to lines being parallel:</u>

  • g(x) = f(x) + k
  • k = g(x) - f(x)
  • k = (mx - 3) - (mx + 2)
  • k = -3 - 2
  • k =  -5

So the answer is k = -5

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What is two thirds divided by seven
Westkost [7]

Answer:

\frac{2}{21} i think

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Consider he function f(x)=2x-4 a.find the inverse of (x) and name it g(x) . Show your work &lt;br /&gt;&lt;br /&gt; B. Use funct
inna [77]

A.\\f(x)=2x-4\to y=2x-4\\\\\text{change x to y and y to x}\\\\x=2y-4\\\\\text{solve for y}\\\\2y-4=x\qquad|+4\\\\2y=x+4\qquad|:2\\\\y=\dfrac{1}{2}x+2\\\\f^{-1}(x)=g(x)=\dfrac{1}{2}x+2\\B.\\\text{Verifying if two functions are inverses of each other is a simple two-step process.}\\1.\ \text{Plug}\ f(x)\ \text{into}\ g(x)\ \text{and simplify}\\2.\  \text{Plug}\ g(x)\ \text{into}\ f(x)\ \text{and simplify}\\\\If\ g[f(x)]=f[g(x)]=x,\ then\ functions\ are\ inverses\ of\ each\ other.

f(x)=2x-4,\ g(x)=\dfrac{1}{2}x+2\\\\g[f(x)]=\dfrac{1}{2}(2x-4)+2=\dfrac{1}{2}(2x)+\dfrac{1}{2}(-4)+2=x-2+2=x\\\\f[g(x)]=2\left(\dfrac{1}{2}x+2\right)-4=2\left(\dfrac{1}{2}x\right)+2(2)-4=x+4-4=x\\\\\text{Since the results above came out OK, both}\ x,\text{ then we can claim}\\\text{that functions f (x) and g (x) are inverses of each other.}

6 0
4 years ago
The length of a rectangle is 3 more inches than the width. Find the length and width of the rectangle is the perimeter of the re
n200080 [17]

Part A:

Let the width of the rectangle be = x inches

As given, the length of a rectangle is 3 more inches than the width so let the length of the rectangle be = x+3 inches

Perimeter is given as = 54 inches

Perimeter = 2(l+b)

Equation becomes:

2(x+3+x)=54

2(2x+3)=54

Part B:

Solving the equation we get

4x+6=54

4x=54-6

4x=48

x=12

Hence, the width of the rectangle is 12 inches

Length = x+3 = 12+3 = 15 inches

Hence, length of the rectangle is 15 inches.


5 0
4 years ago
how does kasey situation change . the function? write a new function k(t) to represent kaseys account balance to any year t
rjkz [21]

CK-12 Foundation is a non-profit organization with a mission to reduce the cost of textbook materials for the K-12 market both in the U.S. and worldwide. Using an open-content, web-based collaborative model termed the FlexBook®, CK-12 intends to pioneer the generation and distribution of high-quality educational content that will serve both as core text as well as provide an adaptive environment for learning, powered through the FlexBook Platform®.

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6 0
3 years ago
2. Seiji and Gavin both worked hard over the summer. Together they earned a total of $425. Gavin earned $25 more than Seiji. (a)
Alja [10]
Let Gavin be G
Let Seiji be S

G + S = 425
G = 25 + S


I can't really graph, but plug in some numbers to G and S that works in BOTH equations. Then graph it.

G + S = 425
G = 25 + S

(25 + S) + S = 425
2S + 25 = 425
2S + 25 (-25) = 425 (-25)
2S = 400
2S/2 = 400/2
S = 200

Seiji made 200 dollars

Now choose one of the equations to use (the easier the better) in this case i will choose this one:

G = 25 + S

pug in 200 into S (because that is how much Seiji made)

G = 25 + (200)
G = 225

Seiji made 200, Gavin made 225

200 + 225 = 425, which is the total amount the made

hope this helps
7 0
4 years ago
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