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mrs_skeptik [129]
3 years ago
7

NEED HELP PLEASE!!!! 15 POINTS!

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

69

Step-by-step explanation:

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Which graph represents y = StartRoot x minus 4 EndRoot?
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The answer is for a fact c
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For all values of x,<br>f(x) = x^2 + 3x and g(x) = x - 4<br>Show that fg(x) = x^2 - 5x + 4​
Westkost [7]

Answer:

f(g(x)) =  x² - 5x +4

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that the functions

         f(x) = x² + 3 x   and g(x) = x-4

     f(g(x)) = f(x -4)   (∵ g(x) = x-4)

              = (x-4)² + 3(x-4)

              = x² - 2(4)x + 4² + 3x -12

             = x² - 8 x + 16 + 3x -12

             = x² - 5x +4

∴ f(g(x)) =  x² - 5x +4

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Elena is trying to draw a triangle with side lengths of 4 inches and 3 inches what could be the length of the third side in orde
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Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.

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The function f is linear. If f(2) = 2 and f(-6)=6 find f(6)
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The\ slope-intercept\ form:y=mx+b\\\\f(2)=2\to for\ x=2\to y=2\\f(-6)=6\to for x=-6\to y=6\\\\put\ in\ equation\ of\ the\ line:\\\\  -\left\{\begin{array}{ccc}2=2m+b\\6=-6m+b\end{array}\right\ \ \ |subtract\ sides\ of\ the\ equations\\----------\\.\ \ \ -4=8m\ \ \ \ \ |divide\ both\ sides\ by\ 8\\.\ \ \ \ \boxed{m=-\frac{1}{2}}\\\\put\ m=-\frac{1}{2}\ to\ equation\ 2=2m+b:\\\\2=2\cdot(-\frac{1}{2})+b\\2=-1+b\ \ \ \ |add\ 1\ to\ both\ sides\\\boxed{b=3}\\\\\boxed{\boxed{y=-\frac{1}{2}x+3}}

therefore:f(x)=-\frac{1}{2}x+3\Rightarrow f(6)=-\frac{1}{2}\cdot6+3=-3+3=0\\\\Answer:\boxed{f(6)=0}
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How are polynomials like other number systems such as whole numbers and integers?
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