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bulgar [2K]
2 years ago
7

Solve the inequality. 4m – 3(m + 1) – 4 < 0 A) m < 7 B) m > 7 C) m < -1 D) m < -7

Mathematics
2 answers:
goldenfox [79]2 years ago
5 0

Answer:

A. M<7

Step-by-step explanation:

Solve for  m, by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

m < 7

Interval Notation:

( − ∞ , 7 )

agasfer [191]2 years ago
3 0

Answer:

A) m < 7

Step-by-step explanation:

4m – 3(m + 1) – 4 < 0

Distribute the 3

4m -3m -3-4<0

m-7 <0

Add 7 to each side

m-7+7 <0+7

m<7

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Find the oth term of the geometric sequence 7, 14, 28, ...
yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

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a_n=a_1\cdot r^{n-1}

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The ratio of all the adjacent terms is the same and equal to

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a_n=a_1\cdot r^{n-1}

a_n=7\cdot \:2^{n-1}

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a_n=7\cdot \:2^{n-1}

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2 years ago
Find an equation of the line passing through the given points (1,-3) and (3,3)
chubhunter [2.5K]

ANSWER: y= 3x - 6

STEP-BY-STEP EXPLANATION:

(1,-3) and (3,3)

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To find the slope of the line passing through these two points we need to use the slope  formula:

m = \frac{Y2-Y1}{X2-X1}

m= \frac{3-(-3)}{3-1}   m=\frac{6}{2} = 3

2)Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and  we get:

y= 3x+b

Next choose one of the two point to plug in for the values of x and y. It does not matter  which one of the two points you choose because you should get the same answer in either  case. I generally just choose the first point listed so I don’t have to worry about which  one I should choose.

y= 3x+b       point (1,-3)

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-6=b

3)Write the answer.

Using the slope of 3 and the y-intercept of -6 the answer is:

y = 3x - 6

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3 years ago
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