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2 years ago

What are the value of x in the equation x^2+4-1 =0

Mathematics

2 answers:

melomori [17]2 years ago

5 0

Answer:

x = ±sqrt(3) i

Step-by-step explanation:

x^2+4-1 =0

Combine like terms

x^2 +3 = 0

Subtract 3 from each side

x^2 +3-3 = 0-3

x^2 = -3

Take the square root of each side

sqrt(x^2) = sqrt(-3)

x = ±sqrt(3) sqrt(-1)

x = ±sqrt(3) i

andrew-mc [135]2 years ago

5 0

Answer:

x = √3 Or 1.73

Step-by-step explanation:

x² + 4 - 1 = 0

combine like terms

x ² + 3 = 0

subtract 3 from both side

x ² + 3 - 3 = 3

x ² = 3

Take square root of both side

√x² = √ 3

x = √3

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1 year ago

A survey in Men’s Health magazine reported that 39% of cardiologists said that they took vitamin E supplements. To see if this i

zzz [600]

Answer:

$z=\frac{0.36 -0.39}{\sqrt{\frac{0.39(1-0.39)}{100}}}=-0.615$

The p value for this case would be:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39

Step-by-step explanation:

Information given

n=100 represent the random sample taken

X=36 represent the number of people that take E supplement

$\hat p=\frac{36}{100}=0.36$ estimated proportion of people who take R supplement

$p_o=0.39$ is the value that we want to test

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true proportion is equatl to 0.39 or not, the system of hypothesis are.:

Null hypothesis: $p=0.39$

Alternative hypothesis: $p \neq 0.39$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info we got:

$z=\frac{0.36 -0.39}{\sqrt{\frac{0.39(1-0.39)}{100}}}=-0.615$

The p value for this case would be:

$p_v =2*P(z$

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2 years ago

Which of the following is the domainof the given relation?{(-6, 3), (-4 ,5), (0, 0)}A {0, 4, -6}B {0, 3, 5)C {3, 4, 0}D {-6, -4,

Bas_tet [7]

The domain is the input, which is the x value in the relation (x, y)

Hence the domain in the given relation {(-6, 3), (-4 ,5), (0, 0) is :

{-6, -4, 0}

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9 months ago

Rewrite each equation in vertex form by completing the square. Then identify the vertex.

Cerrena [4.2K]

ANSWER

Vertex form:

$y = ( {x + 4)}^{2} - 11$

Vertex

V(-4,-11)

EXPLANATION

The given expression is

$y = {x}^{2} + 8x + 5$

We complete the square to get the vertex form.

Add and subtract half the square of the coefficient of x.

$y = {x}^{2} + 8x + 16 + 5 - 16$

$y = ( {x + 4)}^{2} - 11$

The vertex is

V(-4,-11)

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2 years ago

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