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IrinaVladis [17]
1 year ago
6

(1)

Mathematics
1 answer:
Agata [3.3K]1 year ago
6 0

<u>We know that,</u>

slope = \rm{\frac{(y2 - y1)}{(x2 - x1)} }

Let (0,1)=(x 1 ,y 1 ) and (1,2)=(x 2,y 2 )

So,

Slope of line = \frac{(2 - 1)}{(1 - 0)}  = 1

Now,

The required line equaqtion is given by,

==> y−y 1 = m(x-x1)

==> y−1=1(x−0)

==> y−1=x

==> y=x+1

You might be interested in
(3x+15) (6x+3) m&lt;1 is
Allisa [31]

Answer:

x = 4

Step-by-step explanation:

Simplifying

3x + 15 = 6x + 3

Reorder the terms:

15 + 3x = 6x + 3

Reorder the terms:

15 + 3x = 3 + 6x

Solving

15 + 3x = 3 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

15 + 3x + -6x = 3 + 6x + -6x

Combine like terms: 3x + -6x = -3x

15 + -3x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0

15 + -3x = 3 + 0

15 + -3x = 3

Add '-15' to each side of the equation.

15 + -15 + -3x = 3 + -15

Combine like terms: 15 + -15 = 0

0 + -3x = 3 + -15

-3x = 3 + -15

Combine like terms: 3 + -15 = -12

-3x = -12

Divide each side by '-3'.

x = 4

Simplifying

x = 4

8 0
2 years ago
The price of an item yesterday was 130. Today, the price fell to 91 . Find the percentage decrease.
Shalnov [3]

Answer:

30%

Step-by-step explanation:

130-91=39

39 / 130 =0.3

0.3x100=30

and you got the answer!

7 0
2 years ago
Read 2 more answers
Can someone please help me with this question?? (no links!!!)
Tpy6a [65]

Answer:

180ft

Step-by-step explanation:

By using the formula, we do Pi (3) x the radius which is 6² then x by the height, so, we do 3 x 6² x 5. 6² is 36. 3 x 36 = 108. Next, we do 5 x 108. This gives us 540. Now, we have to divide by 3. This makes our answer 180ft.

7 0
2 years ago
Michmoo Computer Company sells computers and computer parts by mail. The company assures its customers that products are mailed
Anastaziya [24]

Answer: (60.858, 69.142)

Step-by-step explanation:

The formula to find the confidence interval for mean :

\overline{x}\pm z_c\dfrac{\sigma}{\sqrt{n}} , where \overline{x} is the sample mean , \sigma is the population standard deviation , n is the sample size and z_c is the two-tailed test value for z.

Let x represents the time taken to mail products for all orders received at the office of this company.

As per given , we have

Confidence level : 95%

n= 62

sample mean : \overline{x}=65 hours

Population standard deviation : \sigma=18 hours

z-value for 93% confidence interval: z_c=1.8119  [using z-value table]

Now, 93% confidence the mean time taken to mail products for all orders received at the office of this company :-

65\pm (1.8119)\dfrac{18}{\sqrt{62}}\\\\ 65\pm4.142\\\\=(65-4.142,\ 65+4.142)\\\\= (60.858,\ 69.142)

Thus , 93% confidence the mean time taken to mail products for all orders received at the office of this company : (60.858, 69.142)

8 0
3 years ago
1. (a) Use the integral test to show that P[infinity] n=1 1/n4 converges. (b) Find the 10th partial sum, s10, of the series P[in
scZoUnD [109]

Answer:

Step-by-step explanation:

a) \int\limits^{\infty} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}

Substitute limits to get

= \frac{1}{3}

Thus converges.

b) 10th partial sum =

\int\limits^{10} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}

=\frac{-1}{3} (0.001-1)\\= 0.333

c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)

where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .

(question is not clear)

3 0
3 years ago
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