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astraxan [27]
2 years ago
12

Find a1 when d= - 1 and a7= -2

Mathematics
1 answer:
Pie2 years ago
5 0

Answer:

  • a₁ = 4

Step-by-step explanation:

<u>Given</u>

  • d = - 1
  • a₇ = - 2

<u>Find</u> a₁

Use the nth term equation of AP

  • aₙ = a₁ + (n - 1)d

Apply to the given case and solve for a₁

  • - 2 = a₁ + 6(- 1)
  • - 2 = a₁ - 6
  • a₁ = 6 - 2
  • a₁ = 4
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What is the slope of the line passing through the points (2, −5) and (4, 1)?
Yuri [45]

Slope =change of y over change of x


(2, −5) and (4, 1)


M= 1-(-5)/4-2

M=6/2

M=3


So the slope is 3.


If you need the equation


Y=mx+b


(4, 1)


1= 3(4)+b

1=12+b

1-12=b

-11=b


So equation


Y=3x-11

8 0
3 years ago
The daily water consumption for an Ohio community is normally distributed with a mean consumption of 722,500 gallons and a stand
Allisa [31]

Answer:

0.0060

Step-by-step explanation:

The z-score is given by

<em>z = (866,475-722,500)/57,429 = 2.51 </em>

The probability is given by the area under the Normal curve N(0,1) to the <em>right</em> of 2.51

In <em>Excel </em> this value is found with the formula

=1-NORMDIST(2.51,0,1,1)

and in <em>OpenOffice Calc </em>

=1-NORMDIST(2.51;0;1;1)

<em> (NORMDIST(2.51;0;1;1) gives the area to the left of 2.51, so 1-NORMDIST(2.51;0;1;1) gives the area to the right of 2.51) </em>

and equals 0.0060

8 0
3 years ago
Needs to show work.<br> Find the X intercept and the Y intercept for 2x-6y=12
liberstina [14]

Answer:

x: (6,0)

y: (0,-2)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y intercept, substitute in  0  for  x  and solve for  y .

Ex -

X : 2x -6(0)=12

2x=12

2 cancels out with 2

12/2 = 6

Y: 2(0 )- 6y =12

-6y=12

negative 6 times negative 6 cancels

12/-6 = -2

4 0
3 years ago
Read 2 more answers
Help what is the answer to number 1 plz
Serga [27]
The property shown there is the distributive property.
It states that a(b + c) = ab + ac
Or a(b - c) = ab - ac

8 0
3 years ago
Need Assistance With This Problem​
AnnZ [28]

Answer:

not sure how to really answer this question.

8 0
3 years ago
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