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3 years ago

2(x+3)^(2)+8=0 Solve.

Mathematics

1 answer:

olga2289 [7]3 years ago

7 0

Answer:

2i-3

Step-by-step explanation:

2(x+3)²=-8

(x+3)²=-4

x+3=2i

x=2i-3

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Through: (2, 2), parallel to y = x +4

dexar [7]

Answer:

y = x

Step-by-step explanation:

We can use slope-point form.

(y-y1) = m(x-x1)

m is a slope. If the line is parallel than slopes are the same.

y = x + 4, for this line slope = 1, so for line we have to find slope is also 1.

(y-y1) = m(x-x1)

m=1, x1 = 2, y1 = 2

(y - 2) = 1(x-2)

y - 2 = x - 2

y = x

8 0

3 years ago

In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th

deff fn [24]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

The sample size is n = 64

The average price is $\= x = \$ 112$

The population standard deviation is $\sigma = \$ 16$

The level of significance is $\alpha = 0.05$

The population mean is $\mu = \$ 108.5$

The null hypothesis is $H_o : \mu = 108.50$

The alternative hypothesis is $H_a : \mu \ne 108.50$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }$

=> $z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }$

=> $z = 1.75$

From the z table the area under the normal curve to the left corresponding to 1.75 is

$P( Z > 1.75) = 0.040059$

Generally p-value is mathematically represented as

$p-value = 2 * P( Z > 1.75)$

=> $p-value = 2 * 0.040059$

=> $p-value = 0.08012$

From the values obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the average room price is significantly different from $108.50

3 0

3 years ago

Please help me!

Zigmanuir [339]

Answer:

s = 14

Step-by-step explanation:

Step 1: Combine like terms.

$(\frac{2}{3}s + \frac{5}{6}s) = 21$
$(\frac{4}{6}s + \frac{5}{6}s) = 21$
$\frac{9}{6}s = 21$
$\frac{3}{2}s=21$

Step 2: Multiply both sides by 2/3.

$\frac{3}{2}s * \frac{2}{3} = 21 * \frac{2}{3}$
$s = \frac{42}{3}$
$s = 14$

8 0

2 years ago

Aaron borrows $150 from his friend Austin. He has to pay the money back in 4 monthly installments. Each month he wants to pay ha

Y_Kistochka [10]

Austin should pay $75 the first month, and 37.50 for the remaining of the 2 months

5 0

2 years ago

How does doubling the base effect the perimeter of the triangle

Contact [7]

i think it will make it smaller due to the base being longer which stretches out the two sides and makes less space inside of the triangle

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3 years ago