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Sav [38]
3 years ago
9

Solve the following inequality: 2. 4x + 6 < 38

Mathematics
1 answer:
seraphim [82]3 years ago
5 0

Answer- x<8

Solutions

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

4*x+6-(38)<0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

4x - 32 = 4 • (x - 8)

Equation at the end of step

1

:

STEP

2

:

2.1 Divide both sides by 4

Solve Basic Inequality :

2.2 Add 8 to both sides

x < 8

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What is the nth term for 7,11,15,19
Murrr4er [49]

Answer:

a_{n} = 4n + 3

Step-by-step explanation:

Note there is a common difference d between consecutive terms, that is

d = 11 - 7 = 15 - 11 = 19 - 15 = 4

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 4, thus

a_{n} = 7 + 4(n - 1) = 7 + 4n - 4 = 4n + 3

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3 years ago
On a piece if paper graph y_&gt;2x-3 Then determine which answer choice matches the graph you drew
alexandr1967 [171]

we have

y\geq 2x-3

Using a graph tool

see the attached figure

The solution of the inequality is the shaded area

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6 0
4 years ago
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The Great Pyramid is an example of a
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If a-b = 7 and ab = 8. Find the value of a^3 - b^3 (a cube - b cube)​
Leto [7]

Answer:

511

Step-by-step explanation:

a-b = 7 ____eq 1

ab = 8 ____eq 2

a = 7 + b ___eq 3

a = 8/b ___eq 4

using simultaneous equations :

7 + b = 8/b

7b + b^2=8

b^2 + 7b - 8 =0

factorize it

b^2 + 8b - b - 8 = 0

b(b+8) -1(b+8)=0

b = 1 , -8

then a = 8/1 = 8

a =8/-8 = -1

a = 8, -1

so,

a^3 - b^3

= (8)^3-(1)^3

= 511

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3 years ago
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