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3 years ago

Help plz show work

Mathematics

1 answer:

Sidana [21]3 years ago

7 0

Answer: see below

Step-by-step explanation:

7) Algebraic Inequality: x ≠ 3

--> -∞ < x < 3 and 3 < x < ∞

Graph: ←-----------o-----------→

Interval Notation: (-∞,3) ∪ (3, ∞)

8) This is a duplicate question of #7

9) Algebraic Inequality: x ≠ 2 and x ≠ 7

--> -∞ < x < 2 and 2 < x < 7 and 7 < x < ∞

Graph: ←-------o-------o-------→

2 7

Interval Notation: (-∞, 2) ∪ (2, 7) ∪ (7, ∞)

10) Algebraic Inequality: x ≠ -4 and x ≠ 0

--> -∞ < x < -4 and -4 < x < 0 and 0 < x < ∞

Graph: ←-------o-------o-------→

-4 0

Interval Notation: (-∞, -4) ∪ (-4, 0) ∪ (0, ∞)

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(show the supposition, proof and conclusion)

larisa86 [58]

Answer:

Step-by-step explanation:

We are given that a and b are rational numbers where $b\neq0$ and x is irrational number .

We have to prove a+bx is irrational number by contradiction.

Supposition:let a+bx is a rational number then it can be written in $\frac{p}{q}$ form

$a+bx=\frac{p}{q}$ where $q\neq0$ where p and q are integers.

Proof: $a+bx=\frac{p}{q}$

After dividing p and q by common factor except 1 then we get

$a+bx=\frac{r}{s}$

r and s are coprime therefore, there is no common factor of r and s except 1.

$a+bx=\frac{r}{s}$ where r and s are integers.

$bx=\frac{r}{s}-a$

$x=\frac{\frac{r}{s}-a}{b}$

When we subtract one rational from other rational number then we get again a rational number and we divide one rational by other rational number then we get quotient number which is also rational.

Therefore, the number on the right hand of equal to is rational number but x is a irrational number .A rational number is not equal to an irrational number .Therefore, it is contradict by taking a+bx is a rational number .Hence, a+bx is an irrational number.

Conclusion: a+bx is an irrational number.

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3 years ago

What is an equation of a line with a slope -2/3 and a y intercept of -4 ?

Gnesinka [82]

Written in slope intercept form y=mx+b.......m is the slope.......b is the y intercept or where the line crosses the y axis

y=-2/3x - 4

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3 years ago

Factor completely 4x^2 + 24x - 64

lara31 [8.8K]

First see you can factor out 4. What is left is x^2 + 6x - 16.
That can be factored as (x+8)(x-2) so the total factorization is

4(x+8)(x-2)

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3 years ago

The red blood cell counts (in millions of cells per microliter) for a population of adult males can be approximated by a norma

skad [1K]

Answer:

(a) Minimum red blood cells 5.744 million cells per micro liter

(b) Maximum red blood cells 5.068 million cells per micro liter.

Step-by-step explanation:

Z-score formula is = $\frac{x-u}{Standard deviation}$

Z-score = $\frac{x-5.5}{0.4}$

The value of z-score is 0.61 so then x will be;

x = 5.744

The minimum red blood cells count that can in top is 27% of count which is 5.744 million cells per micro liter.

Z-score = $\frac{x-5.5}{0.4}$

The value of z-score is 0.14 so then x will be;

x = 5.068

The maximum red blood cells count that can be in top is 14% of count which is 5.068 million cells per micro liter.

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3 years ago

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ehidna [41]

There's no question there. You didn't attach the pic

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3 years ago