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LenaWriter [7]
3 years ago
12

Find (g-f)(6) where f and g are the following functions:f(x)= x+7 and g(x)=x^2+2x-5

Mathematics
1 answer:
Kay [80]3 years ago
5 0
X^2+2x-5-(x+7)
x^2+x-12
plug in 6 for x
6^2+6-12
36+6-12=30
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2.5

Step-by-step explanation:

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6 0
2 years ago
PLEASE HELP! I'll give 5 out of 5 stars, give thanks, and give as many points as I can.
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Answer:

\boxed{\boxed{x=\dfrac{\pi}{3}\ \vee\ x=\pi\ \vee\ x=\dfrac{5\pi}{3}}}

Step-by-step explanation:

\cos(3x)=-1\iff3x=\pi+2k\pi\qquad k\in\mathbb{Z}\\\\\text{divide both sides by 3}\\\\x=\dfrac{\pi}{3}+\dfrac{2k\pi}{3}\\\\x\in[0,\ 2\pi)

\text{for}\ k=0\to x=\dfrac{\pi}{3}+\dfrac{2(0)\pi}{3}=\dfrac{\pi}{3}+0=\boxed{\dfrac{\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=1\to x=\dfrac{\pi}{3}+\dfrac{2(1)\pi}{3}=\dfrac{\pi}{3}+\dfrac{2\pi}{3}=\dfrac{3\pi}{3}=\boxed{\pi}\in[0,\ 2\pi)\\\\\text{for}\ k=2\to x=\dfrac{\pi}{3}+\dfrac{2(2)\pi}{3}=\dfrac{\pi}{3}+\dfrac{4\pi}{3}=\boxed{\dfrac{5\pi}{3}}\in[0,\ 2\pi)\\\\\text{for}\ k=3\to x=\dfrac{\pi}{3}+\dfrac{2(3)\pi}{3}=\dfrac{\pi}{3}+\dfrac{6\pi}{3}=\dfrac{7\pi}{3}\notin[0,\ 2\po)

7 0
3 years ago
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Find the area of rectangle with sides 2 5/6 and 4 4/7
g100num [7]
<h3><u>Given</u><u> </u><u>:</u></h3>

  • Length = \sf2\dfrac{5}{6} cm.
  • Breadth = \sf4\dfrac{4}{7} cm.

<h3><u>To</u><u> </u><u>Find</u><u> </u><u>:</u></h3>

The area of rectangle.

<h3><u>Solution</u><u> </u><u>:</u></h3>

Area of rectangle = Length × Breadth

\sf=2\dfrac{5}{6}\times4\dfrac{4}{7}

\sf=\dfrac{17}{6}\times\dfrac{25}{7}

\sf=\dfrac{17\times25}{6\times7}

\sf=\dfrac{425}{42}

<h3><u>Area</u><u> </u><u>of</u><u> </u><u>rectangle</u><u> </u><u>is</u><u> </u><u>4</u><u>2</u><u>5</u><u>/</u><u>4</u><u>2</u><u> </u><u>cm</u><u>²</u><u>.</u></h3>
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3 years ago
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Step-by-step explanation: hopefully that helps you mark me brainlest please

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san4es73 [151]

Answer:

y = x + 7

Step-by-step explanation:

x = number of weeks

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<em>Cole has already taken 7 quizzes = </em>+ 7

<em>he expects to have 1 quiz during each week of this quarter = </em>1x

y = 1x + 7

y = x + 7

7 0
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