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4 years ago

Which of the following is the correct graph of the solution to the inequality −8 −5x + 2 > −38?

Mathematics

2 answers:

mojhsa [17]4 years ago

5 0

$-8-5x+2 > -38\\\\-5x+(-8+2) > -38\\\\-5x-3 > -38\qquad|+3\\\\-5x > -35\qquad|\text{change the signs}\\\\5x < 35\qquad|:5\\\\x < 7$

HACTEHA [7]4 years ago

3 0

Answer:

x < 6.4

Step-by-step explanation:

given,

-8 - 5 x + 2 > -38

- 5 x - 6 > -38

adding both side by 6

- 5 x - 6 + 6 > -38 + 6

- 5 x > -32

multiplying both side by (-1)

5 x < 32

on multiplying by negative sign the inequality direction changes

x < 6.4

the graph is shown in the figure attached below. the shaded region shows the required area.

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A sequence is defined recursively using the equation . If f(1)=100, what is f(6)?

Dennis_Churaev [7]

Step-by-step explanation:

A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100, what is f(6) ?

Since, A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100,we have to find the value of f(6).

Consider

f(n+1) = f(n)-8

Let n =1, we get

f(1+1) = f(2) = f(1) - 8 = 100-8 = 92

Let n =2, we get

f(2+1) = f(3) = f(2) - 8 = 92-8 = 84

Let n =3, we get

f(3+1) = f(4) = f(3)-8 = 84 - 8 = 76

Let n =4, we get

f(4+1) = f(5) = f(4)-8 = 76 - 8 = 68

Let n =5, we get

f(5+1) = f(6) = f(5) - 8 = 68-8 = 60

Therefore, the value of f(6) is 60.

4 0

3 years ago

Read 2 more answers

What is the slope of (-8, 2) and (1, -4).

Airida [17]

Answer:

-2/3

Step-by-step explanation:

To find the slope of two points

m = (y2-y1)/ (x2-x1)

= (-4-2)/(1--8)

= (-4-2)/(1+8)

= -6/9

-2/3

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4 years ago

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Mazyrski [523]

Answer:

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Step-by-step explanation:

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3 years ago

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kondaur [170]

7 is the most

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3 years ago

Solve for x. whats the solutions from least to greatest. 4x^2 + 48x + 128 = 0

Anastasy [175]

Answer:

$\boxed{\sf \ \ \ x = -8 \ or \ x = -4 \ \ \ }$

Step-by-step explanation:

Hello,

$4x^2+48x+128=0\\ 4(x^2+12x+32)=0\\ x^2+12x+32=0\\ (x+6)^2 - 36 + 32= 0\\\\ (x+6)^2-4=0\\ (x+6+2)(x+6-2)=0\\ (x+8)(x+4) = 0\\ x = -8 \ or \ x = -4$

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4 years ago