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2 years ago

Which of the following ordered pairs could represent the y-intercept of a function.

Mathematics

1 answer:

snow_lady [41]2 years ago

6 0

<h3>Answer: (0,5)</h3>

This is because the x coordinate is 0. For any y intercept, the x coordinate is always 0 as this indicates the point is on the y axis.

Contrast this with something like (9,0) and we see that y = 0 indicating this point is an x intercept (it is on the x axis).

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Write the sum using summation notation, assuming the suggested pattern continues.

Usimov [2.4K]

Answer:

Sum of the sequence will be 648

Step-by-step explanation:

The given sequence is representing an arithmetic sequence.

Because every successive term of the sequence is having a common difference d = -3 - (-9) = -3 + 9 = 6

3 - (-3) = 3 + 3 = 6

Since last term of the sequence is 81

Therefore, by the explicit formula of an arithmetic sequence we can find the number of terms of this sequence

$T_{n}=a+(n-1)d$

where a = first term of the sequence

d = common difference

n = number of terms

81 = -9 + 6(n - 1)

81 + 9 = 6(n - 1)

n - 1 = $\frac{90}{6}=15$

n = 15 + 1 = 16

Now we know sum of an arithmetic sequence is represented by

$\sum_{n=1}^{n}(a_{n})=\frac{n}{2}(a_{1}+a_{n})$

Now we have to find the sum of the given sequence

$S_{16}=\frac{16}{2}[-9 + (16-1)6]$

= 8[-9 + 90]

= 8×81

= 648

Therefore, sum of the terms of the given sequence will be 648.

6 0

2 years ago

Solve for x to the nearest tenth ? x2 + x - 5 = 0

Verizon [17]

1.79 and -2.79

When solving by x

6 0

2 years ago

Please help me ASAP:

gogolik [260]

If the first increase was 50%, that means that the price between the first and the second increase is 150% of the original. And as you need 6 (which is 4*150%) times the original, the price was increased for 450%. So, the last peecent increase is
$\frac{450}{150} \times 100\% = 300\%$

5 0

2 years ago

Read 2 more answers

Write a story that describes the graph below.

Veseljchak [2.6K]

I'm not going to write a story, but here are a few prompts and idea to use:

- person who lost their money to a gambling addiction

- person who had to deal with the expenses of an accident they were in

- person who lost thier success after a scandal and with their fame went their money

- or maybe someone who became a criminal who got caught, so they lost all their money

8 0

1 year ago

2 3/8 of 16 ______ <br><br> Ps. In simplest form

crimeas [40]

2 3 / 8 = ( 2*8 + 3 ) / 8 = 19 / 8 ;
19 / 8 of 16 is ( 19 / 8 ) * 16 = 304 / 8 = 38 ;

3 0

2 years ago