What is the range of this function?

1 answer:

7 0

You order the y-values from greatest to least, which are 2, 2, 3, and 4. You don't need to duplicate the same y-values, so the range is {2, 3, 4}

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Find a1, for the arithmetic series<br> with S14 = - 420 and d = -6.

faust18 [17]

$\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} n = 14\\ d= -6 \end{cases} \\\\\\ a_{14}=a_1+(14-1)(-6)\implies a_{14}=a_1+(13)(-6)\implies a_{14}=a_1-78 \\\\[-0.35em] ~\dotfill$

$\bf \textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ \cline{1-1} n= 14\\ S_{14}=-420\\ a_{14}=a_1-78 \end{cases}\implies S_{14}=\cfrac{n(a_1+a_{14})}{2} \\\\\\ -420=\cfrac{14[a_1+(a_1-78)]}{2}\implies -420=7(2a_1-78)\implies \cfrac{-420}{7}=2a_1-78 \\\\\\ -60=2a_1-78\implies 18=2a_1\implies \cfrac{18}{2}=a_1\implies 9=a_1$

8 0

3 years ago

A circle with a radius of 1 unit

oee [108]

Answer:

C= 6.28 A: 3.14

Step-by-step explanation:

Circumference of a circle is 2* pi * r

Based on this, we can subsitute r for 1

2* pi * 1= 2pi which is around 6.28 units

Area of a circle is pi* r* r

Based on this, we can subsitute r for 1

pi* 1* 1= pi= 3.14 units squared

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3 years ago

I need help with trig

Taya2010 [7]

Answer:

sinθ = p/h = 4/6= 2/3

θ = 41 degrees

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3 years ago

Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke’s mean score increase

nexus9112 [7]

86, 90, and 92

Explanation:add all numbers together and divide it by the amount of numbers there are (5) and it comes out with 85.6 so it has to be higher since it increased

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3 years ago

Hi please help thank you i’ll give brainliest

Sergio [31]

Answer:

ok so first start with 97 and 45 put together 57/97 and

Step-by-step explanation:

4 0

3 years ago