All categories

4 years ago

Please help ?!!! Solve the three equations in the table using any method of your choice. List the method you used.

Mathematics

2 answers:

Sav [38]4 years ago

4 0

Please Refer to the screenshot. Hope this helps!

KatRina [158]4 years ago

3 0

Step-by-step explanation:

$x = \frac{ - b \frac{ + }{ - } \sqrt{ {b}^{2} - 4ac } }{2a}$

The quadratic formula is honestly the most straightforward way of solving here.

Your other options are completing the square (which is the same thing as the quadratic formula but it's good to know that method if you have to take Integral Calculus at some point) or maybe factoring by grouping if it's appropriate. But the quadratic formula will work for you in all three equations:

1) a=1, b=0, c=8

This reduces pretty quickly into x=8i,-8i due to the negative under the radical. (Actually we didn't even really need the formula here.)

2) a=-9, b=4, c=-10

This reduces into x=(-4+i√(344))/-18, (-4-i√(344))/-18 and doesn't go any further because 344 isn't a perfect square.

3) a=1, b=8, c=17

This reduces to x=(-4+i), (-4-i)

So those are the answers for each.

You might be interested in

Find the measurement of either the leg or the hypotenuse: A = B = 21 C = 35

Varvara68 [4.7K]

Answer: x = 40.81 or 41

Step-by-step explanation:

A = B = 21

C = 35

Hypotenuse = x

Calculating Hypotenuse:

21^2 + 35^2 = x^2

=> 441 + 1225 = x^2

=> x^2 = 1666

=> x = 40.81 or 41

5 0

3 years ago

10p = 66 what is the value of p

Zepler [3.9K]

The value of p is 11. To find this, you must isolate the variable, p, so you divide 10 by both sides of the equation to get p=11.

6 0

3 years ago

Read 2 more answers

A/ How many hours does it take to fill the pool?

masya89 [10]

Sorry my bad, i m not good in maths.

5 0

3 years ago

Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p

Olegator [25]

Answer:

Reject H₀. There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.

The significance level of the test is, α = 0.02.

(1)

The hypothesis can be defined as follows:

H₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. $p_{1} - p_{2}= 0$ .

Hₐ: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. $p_{1} - p_{2}\neq 0$ .

(2)

Compute the sample proportions and total proportion as follows:

$\hat p_{1}=\frac{12}{189}=0.063\\\\\hat p_{2}=\frac{8}{429}=0.019\\\\\hat p=\frac{12+8}{189+429}=0.032\\$

Compute the test statistic value as follows:

$Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

$=\frac{0.063-0.019}{\sqrt{0.032(1-0.032)\times [\frac{1}{189}+\frac{1}{429}]}}\\\\=2.86$

The test statistic value is 2.86.

(3)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

$p-value=2\cdot P(Z>2.86)=2\times 0.00212=0.00424$

p-value = 0.00424 < α = 0.02.

The null hypothesis will be rejected at 0.02 significance level.

Reject H₀. There is a significant difference in drug resistance between the two states.

7 0

3 years ago

What is 86 divided by 2 (showing work)

DENIUS [597]

4 3
_______
2 )86
Because 2 goes into 8 4 times and 2 goes into 6 3 times. Hope this helped!

4 0

3 years ago