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3 years ago

How do you graph 2x - 1/4y <1

1 answer:

6 0

1 Method is to solve for y so the inequality will resemble slope - intercept form: y = mx + b

$2x- \frac{1}{4} y\ \textless \ 1$
(1) Get rid of the fraction by multiplying the entire inequality by 4 (LCD)
Result: 8x - y < 1
(2) Use the opposite of 8x to move that term to the other side
Result: - y < - 8x + 1
(3) Divide each term by -1 (coefficient of y) *Remember to reverse inequality sign
Result: y > 8x - 1
(4) y-int (b = -1) plot this on the y-axis
(5) slope 8 or $\frac{8}{1}$ means from the y-int value move up 8 then to the right 1 and put a 2nd point
(6) Now it's time to draw a line thru the two points and if the inequality sign < or > you make a dashed (broken) line thru the points
(7) Now where to shade.... look at (3) y > so shade above the line

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I will mark that person brainliest if they answer correctly and must be well explained

Zolol [24]

it is 180

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3 years ago

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Given z^3 = 3 + square root 3i which letter represents z

Marianna [84]

The expression that represents the value of z is $\sqrt[3]{3 + i\sqrt 3 }$

<h3>What are complex numbers?</h3>

Complex numbers are numbers that have real and imaginary parts

A complex number (n) is represented as:

$n = a + bi$

From the above expression, we have:

a represents the real part
bi represents the imaginary part

Given that:

$z^3 = 3 + \sqrt 3 i$

Rewrite the above expression as:

$z^3 = 3 + i\sqrt 3$

Take the cube roots of both sides

$z = \sqrt[3]{3 + i\sqrt 3 }$

The letters are not given.

Hence, the expression that represents the value of z is $\sqrt[3]{3 + i\sqrt 3 }$

Read more about complex numbers at:

brainly.com/question/11089283

8 0

2 years ago

The statement “if a=b, then a+5 = b+5” is an example of what property?

Tju [1.3M]

The addition property of equality

7 0

4 years ago

Please help, would be greatful :)

IrinaVladis [17]

Answer:

x ≈ 31.0°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanx = $\frac{opposite}{adjacent}$ = $\frac{9}{15}$ , then

x = $tan^{-1}$ ( $\frac{9}{15}$ ) ≈ 31.0° ( to 1 dec. place )

7 0

3 years ago

Suppose a large shipment of compact discs contained 19% defectives. If a sample of size 343 is selected, what is the probability

Yuri [45]

Answer:

The value is $P( | \^p - p | < 0.04) = 0.9408$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.19$

The sample size is n = 343

Generally given that the ample size is large enough , i.e n > 30 then the mean of this sampling distribution is mathematically represent

$\mu_{x} = p = 0.19$

Generally the standard deviation is mathematically represented as

$\sigma =\sqrt{\frac{p(1- p)}{n} }$

=> $\sigma =\sqrt{\frac{0.19 (1- 0.19 )}{343 } }$

=> $\sigma = 0.0212$

Generally the the probability that the sample proportion will differ from the population proportion by less than 4% is mathematically represented as

$P( | \^p - p | < 0.04) = P( \frac{|\^ p - p |}{ \sigma_p } < \frac{0.04}{0.0212 } )$

$\frac{|\^ p - p |}{\sigma } = |Z| (The \ standardized \ value\ of \ |\^ p - p | )$

$P( | \^p - p | < 0.04) = P( |Z| < 1.887 )$

=> $P( | \^p - p | < 0.04) = P( Z < 1.887 )- P( Z < -1.887 )$

From the z table the area under the normal curve to the left corresponding to 1.887 and - 1.887 is

$P( Z < 1.887 )= 0.97042$

and

$P( Z < -1.887 )= 0.02958$

$P( | \^p - p | < 0.04) = 0.97042 - 0.02958$

=> $P( | \^p - p | < 0.04) = 0.9408$

3 0

3 years ago