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2 years ago

If Jill's best friend jumped farther than 6.5 feet, then she beat the school record and

Mathematics

2 answers:

shusha [124]2 years ago

6 0

Answer:

What is this.

Step-by-step explanation:

I guess 7th?

tigry1 [53]2 years ago

3 0

Answer:

what is this for?

Step-by-step explanation:

BTW: 7th graders

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You are hiking in the woods at a rate of 3 mph. The function y=3x describes how many miles y you walk in x hours. create an inpu

Finger [1]

Answer:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

Step-by-step explanation:

Given

$y = 3x$

Required

Create a table that represents this scenario

Because x represents time, x can not be negative. So, the domain of x is:

$x \geq 0$

Assume $x = 1$

$y = 3 * 1 = 3$

Assume x = 4

$y=3*4 = 12$

Assume x = 6

$y=3*6 = 18$

Hence, the table is:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

4 0

3 years ago

For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.

Flauer [41]

$\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\$

$\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276$

$\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}$