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Lina20 [59]
3 years ago
12

Write the linear equation in Slope-Intercept Form y = mx + b of the line that passes through the given points, then graph

Mathematics
1 answer:
natima [27]3 years ago
7 0

Answer:

y = 3x + 7.

To graph the line mark off the 2 points and draw a line through them.

Step-by-step explanation:

The slope = (-2-7) / (-3-0)

= -9/-3

= 3.

The value of b is found using the point-slope form of a line:

y - y1 = m(x - x1)

using m = 3, (x1, y1) = (0, 7):

y - 7 = 3(x - 0)

y = 3x + 7.

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Compute the sums below. (Assume that the terms in the first sum are consecutive terms of an arithmetic sequence.)
riadik2000 [5.3K]

Answer:

=18975

Step-by-step explanation:

This is an arithmetic sequence

an = a1 +d(n-1)

a1 =9

d = 12-9 = 3

an = 9 +3 (n-1)

The sum of an arithmetic sequence is given by

Sn = n/2 (a1+an)

So we need to determine what number in the sequence 336 is

an = 9 +3 (n-1)

336 = 9 +3(n-1)

Subtract 9 from each side

336-9 =9+-9 + 3(n-1)

327 = 3(n-1)

Divide each side by 3

327/3 =3/3(n-1)

109 = n-1

Add 1 to each side

109+1= n-1+1

110 = n

336 is the 110  term

The sum from 9 to 336

Sn = n/2 (a1+an)

S 110 = 110/2 (9+336)

          = 55 (345)

          =18975

5 0
3 years ago
Using the order of operations, which operation should be performed first? 3(7+2^2)-5
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Answer:

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Step-by-step explanation:

4 0
3 years ago
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Scientific notation 0.0094592<br> Scientific notation 0.94592
Elenna [48]

Answer:

9.4592x10^{-3}

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Step-by-step explanation:

4 0
3 years ago
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The height, s, of a ball thrown straight down with initial speed 32 ft/sec from a cliff 48 feet high is s(t) = –16t2 – 32t + 48,
aalyn [17]
Remember that w<span>hen the ball hits the ground, s(t) = 0 
</span><span>So we have: -16t^2 - 32t + 48 = 0 </span>
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<span>t = (32 +/- sqrt(1024 + 3072)) / (-32) </span>
<span>t = (32 +/- sqrt(4096)) / (-32) </span>
<span>t = (32 +/- 64) / (-32) </span>
<span>t = (48 or -32) / (-32) </span>
<span>t = -1.5 or 1 </span>
<span>Since a negative number doesn't make sense, so t =1</span>
<span>Keep in mind that velocity is the derivative of the height, therefore: </span>
<span>s'(t) = -32t - 32 </span>
<span>s'(t) = -32*1 - 32 </span>
<span>s'(t) = -32 - 32 </span>
<span>s'(t) = -64 </span>
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8 0
3 years ago
The approximate value of 5.1 million x 2.2 thousand is? use scientific notation
Sliva [168]
11,220,000,000 is the answer for this question.
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