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DanielleElmas [232]
3 years ago
7

HOW TO FINISH IT? Complete the table and pattern. Determine the common difference. Write the explicit rule.

Mathematics
1 answer:
sp2606 [1]3 years ago
4 0

a_{n} = a_{1} + d(n - 1)   <em> a₁ is the first term, d is the difference, and n is the term</em>

a₁ = -5

d = -5

a_{n} = -5 - 5(n - 1)

a_{n} = -5 - 5n + 5  

a_{n} = -5n            <em>explicit formula</em>

a_{n} = -5a_{n-1}       <em>recursive formula</em>

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What is the slope of the line containing (-3, 5) and (6, -1)?
mario62 [17]

Answer:

-2/3

Step-by-step explanation:

The slope of a line can be represented as \frac{y_{2} -y_{1} }{x_{2}- x_{1} } where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:

\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}

3 0
3 years ago
Read 2 more answers
the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a
statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by P = 2l + 2w. We are given the perimeter of the pool along with the width.

P = 486

w = l - 35

From here, all we have to do is plug back into the original formula:

486 = 2l + 2(l - 35)

Which can be further simplified as:

486 = 2l + 2l - 70

486 = 4l - 70

From here, all we have to do is add 70 to both sides of the equation and divide by four:

556 = 4l

139 = l

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

P = 2l + 2w

P = 2(139) + 2(104)

P = 278 + 208

P = 486

And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.

5 0
2 years ago
Read 2 more answers
Determine whether the following function is one-to-one. f ( x ) = 6 x + 1
seraphim [82]

Answer:

one to one function

Step-by-step explanation:

f(x)=6x+1 can only be a one to one function when x1=x2

Now,

f(x1)=f(x2)

or, 6x1 + 1 = 6x2 + 1

or, 6x1 = 6x2

or, x1 = x2

So f(x)= 6x + 1 is a one to one function

4 0
2 years ago
The inverse of this equation
In-s [12.5K]

Answer:

{f}^{ - 1}(x)  =  \frac{x + 11}{ - 5}

Step-by-step explanation:

f(x) =  - 5x - 11 \\  - 5x - 11 =x \\  - 5x = x + 11 \\  {f}^{ - 1}(x)  =  \frac{x + 11}{ - 5}

7 0
3 years ago
There are 1,994 strawberries picked from the farmif the strawberries are sorted equally into six bins, how many strawberries wil
irakobra [83]

Answer:

332

the reason why I think it's $332 is because if you do 1,994 / 6 then that equals 332 I don't know if you get it right if you do great job if you don't I understand

7 0
2 years ago
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