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Varvara68 [4.7K]
3 years ago
14

Write the​ slope-intercept equation of the function f whose graph satisifies the given conditions.

Mathematics
2 answers:
sergejj [24]3 years ago
6 0
3x-7y-14 = 0

7y = 3x-14

y = (3/7)x - 2

slope of perpendicular line = -1/(3/7) = -7/3

so function f which is perpendicular and has same y-intercept is

y = (-7/3)x - 2

viva [34]3 years ago
3 0

The general form for a straight line is y = mx + c where m is slope and c is y-intercept.

Two lines are perpendicular when the product of their slopes = -1

Given line 3x - 7y - 14 = 0, its slope = 3/7 and y-intercept = -14/7 = -2

So a line perpendicular to the given and has the same y-intercept is

y = (-7/3) x - 2


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Sonja [21]
The common factor is 3. You would write it out as... 3(5x-4)
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Find the sum.<br> (5-21) + (-7+81)
sergij07 [2.7K]
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(5-21)+(-7+81)
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Add
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6 0
3 years ago
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The box plot was created by using which pieces of data?
exis [7]

Answer:

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4 0
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Someeee one?????????????????
Ad libitum [116K]

Answer:

Option B) a_{n} = 2\cdot 4^{n-1}

Step-by-step explanation:

The given geometric sequence is

2, 8, 32, 128,....

The general form of a geometric sequence is given by

a_{n} = a_{1}\cdot r^{n-1}

Where n is the nth term that we want to find out.

a₁ is the first term in the geometric sequence that is 2

r is the common ratio and can found by simply dividing any two consecutive numbers in the sequence,

r=\frac{8}{2} = 4

You can try other consecutive numbers too, you will get the same common ratio

r=\frac{32}{8} = 4

r=\frac{128}{32} = 4

So the common ratio is 4 in this case.

Substitute the value of a₁ and r into the above general equation

a_{n} = 2\cdot 4^{n-1}

This is the general form of the given geometric sequence.

Therefore, the correct option is B

Note: Don't multiply the first term and common ratio otherwise you wont get correct results.

Verification:

a_{n} = 2\cdot 4^{n-1}

Lets find out the 2nd term

Substitute n = 2

a_{2} = 2\cdot 4^{2-1} = 2\cdot 4^{1} = 2\cdot 4 = 8

Lets find out the 3rd term

Substitute n = 3

a_{3} = 2\cdot 4^{3-1} = 2\cdot 4^{2} = 2\cdot 16 = 32

Lets find out the 4th term

Substitute n = 4

a_{4} = 2\cdot 4^{4-1} = 2\cdot 4^{3} = 2\cdot 64 = 128

Lets find out the 5th term

Substitute n = 5

a_{5} = 2\cdot 4^{5-1} = 2\cdot 4^{4} = 2\cdot 256 = 512

Hence, we are getting correct results!

6 0
3 years ago
Describe the relationship between n and 4 that will make the value of the expression 7xn4greater than7
valina [46]

Answer:

As per the statement: the value of the expression 7 x n/4 greater than 7.

To describe the relationship between n and 4.

"greater than" symbol is represented by '>'

The value of expression 7 \times \frac{n}{4} grater than 7 is;

7(\frac{n}{4}) > 7

Divide by 7 both sides we get;

\frac{n}{4} > 1

Multiply both sides of an equation by 4 we get;

n > 4

Therefore, the relationship between n and 4 is, n > 4



8 0
4 years ago
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