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elena-s [515]
3 years ago
12

Using the expression for the nth term of a sequence, find the first five terms of the sequence. Begin with n = 1.

Mathematics
1 answer:
svetlana [45]3 years ago
6 0
3n2+2  n=1

3(1)2+2
 3(2)+2
6+2
12

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What is the equation of the line that passes through (5, 3) and (4, 5)
lara31 [8.8K]

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, 3) and (x₂, y₂ ) = (4, 5)

m = \frac{5-3}{4-5} = \frac{2}{-1} = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 5), then

5 = - 8 + c ⇒ c = 5 + 8 = 13

y = - 2x + 13 ← equation of line

7 0
3 years ago
Which expression is equivalent to 4+2(1+3x)
Leviafan [203]

Answer:

I'm glad you asked!

Step-by-step explanation:

OK,let's simplify the number for a equivalent expression.

4+2(1+3x)

Distribute:

=4+(2)(1)+(2)(3x)

= 4+2+6x

Combine Like Terms:

=4+2+6x

=(6x)+(4+2)

=6x+6

The Final Answer is : 6x+6

8 0
3 years ago
Simplify (4x − 6) + (5x + 1)
Basile [38]
9x-5, I guess, not sure, but I'm combining like terms. Hope it's right.
5 0
3 years ago
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How does the graph of g(x)= 1/x-5+2 compared to the graph of the parent function f(x)=1/x?
Finger [1]

Answer: The graph is shifted to the right by 5 units and shifted up from the parent function.

Step-by-step explanation:

1. By definition, a parent function is the simplest form of a function.

2. You have the following parent function given in the problem:

f(x)=\frac{1}{x}

2. The function g(x) is obtained from the function f(x)

g(x)=\frac{1}{x-5}+2

Where the subtraction of 5 indicates the horizotanl shift to the left and the addition of 2 indicates the vertical shift up.

3. Therefore, keeping the information above on mind, you can conclude that the answer is: the graph is shifted to the right by 5 units and shifted up from the parent function.

3 0
3 years ago
Solve the equation for the variable. Make sure your answer is in simplest form.
maks197457 [2]

Answer:

Here's your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

3 0
2 years ago
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