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Ratling [72]
3 years ago
14

4(-4x - 3) > 36 with the steps

Mathematics
2 answers:
Lena [83]3 years ago
8 0

Answer is x < -3


4(-4x-3) > 36

Expand the brackets

-16x - 12 > 36


Rearrange the inequality to get x on its own


-16x > 36 + 12


-16x > 48


Divide both sides by -16 in order to get x on its own. When dividing both sides of the inequality by a negative number, flip the inequality sign (as this is one of the laws of inequalities)


x < 48/-16


x < -3

Sergeu [11.5K]3 years ago
5 0

Answer:

x < -3

Step-by-step explanation:

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

−4x−3> 36/4

​Divide 36 by 4 to get 9.

−4x−3>9

Add 3 to both sides.

−4x>9+3

Add 9 and 3 to get 12.

−4x>12

Divide both sides by −4. Since −4 is negative, the inequality direction is changed.

x< 12/-4

​ Divide 12 by −4 to get −3.

x < -3

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Find the four terms of the sequence given by the following expression
soldi70 [24.7K]

Answer:

47, 40, 33, 26 are the first four terms of the sequence.

Step-by-step explanation:

Expression representing the sequence is,

a_n=46-7(n-1)

where n = number of term in the sequence

For n = 1,

a_1=47-7(1-1)

    = 47

For n = 2,

a_2=47-7(2-1)

    = 47 - 7

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For n = 3,

a_3 = 47 - 7(3 -1)

   = 47 - 14

   = 33

For n = 4,

a_4=47-7(4-1)

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Therefore, first four terms of the sequence are 47, 40, 33 and 26.

6 0
3 years ago
An arithmetic sequence has a first term of 10 and a common difference of 4.
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The sum of 18 terms is 792.

<h3>What is an Arithmetic Sequence ?</h3>

An arithmetic sequence is defined as the sequence of numbers in which the difference between two consecutive terms is same.

First Term is 10

Common Difference = 4

The partial sum of the arithmetic sequence is given by

\rm S_n = \dfrac{n}{2}( 2a+(n-1)d)

Here a is the first term , d is the common difference

\rm S_n = \dfrac{18}{2}( 2*10+(18-1) * 4)

Therefore the sum of 18 terms is 792.

To know more about Arithmetic Sequence

brainly.com/question/15412619

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