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aliya0001 [1]
3 years ago
13

5X(squared) - 4X = 6 Solve for X

Mathematics
2 answers:
Leto [7]3 years ago
7 0
5x^2 - 4x = 6

<span>5x^2 - 4x - 6 = 0 
</span>
Use the quadratic equation (I attached a photo of it)
Now, you can use this formula to know what to plug into the formula:
ax^2<span> + </span>bx<span> + </span>c<span> = 0
</span>
The easiest way to understand what to plug in is just to put your equation right next to this one:
ax^2 + bx + c<span> = 0
</span><span>5x^2 - 4x - 6 = 0 
</span>So, 
A= 5
B= -4
C= -6

So, plug it in a solve. Remember you cannot take the square root of a negative number or 0. If it does not come to a number that is easily square rooted you must simplify it to this for example: 5 times the square root of 7.  Also, your answer will be x plus or minus a number. This means that the number could be either negative or positive. <span>If you have anymore questions let me know.</span>

Andrews [41]3 years ago
7 0

Answer:

x=\frac{2+\sqrt{34}}{5} and x=\frac{2-\sqrt{34}}{5}

Step-by-step explanation:

5x^2-4x=6

To solve for x , we need to get 0 on the right side

Subtract 6 on both sides

5x^2-4x-6=0

Factor the left hand side

To solve for x , we apply quadratic formula

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

The value of a=5, b=-4, c= -6

x=\frac{4+-\sqrt{(-4)^2-4(5)(-6)}}{2(5)}

x=\frac{4+-\sqrt{136}}{10}

x=\frac{4+-2\sqrt{34}}{10}

Divide top and bottom by 2

x=\frac{2+-\sqrt{34}}{5}

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The solution for the following system of equations is shown on the graph. What is the solution?
Bingel [31]

The solution is (3 , 4) ⇒ 2nd answer

Step-by-step explanation:

The system of equations can be solved by:

  • Elimination method
  • Substitution method

The system of equations is:

y = 3 x - 5 ⇒ (1)

y = \frac{1}{3} x + 3 ⇒ (2)

By using the substitution method substitute y in equation (2) by equation (1)

3 x - 5 =  \frac{1}{3} x + 3

Subtract  \frac{1}{3} x from both sides

\frac{8}{3} x = 8

Divide both sides by \frac{8}{3}

x = 3

substitute x by 3 in equation (1)

y = 3(3) - 5

y = 9 - 5

y = 4

The solution is (3 , 4)

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

5 0
3 years ago
A national survey conducted in 2011 among a simple random sample of 1,507 adults shows that 56% of Americans think the Civil War
Drupady [299]

Answer:

a)z=4.658

p_v =P(z>4.65)=1-P(z  

b) Using the significance level assumed \alpha=0.05 we see that p_v so we have enough evidence at this significance level to reject the null hypothesis. And on this case makes sense the claim that the proportion of Americans who thinks that the Civil War is still relevant to American politics and political life is  higher than 50%.

c) The 90% confidence interval would be given (0.527;0.593).

We are confident that about 54% to 59% of all Americans think the Civil War is relevant.

Step-by-step explanation:

I )Part a

1) Data given and notation

n=1507 represent the random sample taken  

X represent the Americans who thinks that the Civil War is still relevant to American politics and political life

\hat p estimated proportion of Americans who thinks that the Civil War is still relevant to American politics and political life in the sample

p_o=0.5 is the value that we want to test since the problem says majority    

\alpha=0.05 represent the significance level (no given, but is assumed)  

z would represent the statistic (variable of interest)  

p_v represent the p value (variable of interest)  

p= population proportion of Americans who thinks that the Civil War is still relevant to American politics and political life

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion of Americans who thinks that the Civil War is still relevant to American politics and political life exceeds 50%(Majority). :  

Null Hypothesis: p \leq 0.5

Alternative Hypothesis: p >0.5

We assume that the proportion follows a normal distribution.  

This is a one tail upper test for the proportion of  union membership.

The One-Sample Proportion Test is "used to assess whether a population proportion \hat p is significantly (different,higher or less) from a hypothesized value p_o".

Check for the assumptions that he sample must satisfy in order to apply the test

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough

np_o =1507*0.5=753.5>10

n(1-p_o)=1507*(1-0.5)=753.5>10

3) Calculate the statistic  

The statistic is calculated with the following formula:

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

On this case the value of p_o=0.5 is the value that we are testing and n = 1507.

z=\frac{0.56 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1507}}}=4.658

The p value for the test would be:

p_v =P(z>4.65)=1-P(z  

II) Part b

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

Based on the alternative hypothesis the p value would be given by:

p_v =P(z>4.65)=1-P(z  

Using the significance level assumed \alpha=0.05 we see that p_v so we have enough evidence at this significance level to reject the null hypothesis. And on this case makes sense the claim that the proportion of Americans who thinks that the Civil War is still relevant to American politics and political life is  higher than 50%.

III) Part c

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 90% confidence interval the value of \alpha=1-0.9=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.56 - 2.58 \sqrt{\frac{0.56(1-0.56)}{1507}}=0.527

0.56 + 2.58 \sqrt{\frac{0.56(1-0.56)}{1507}}=0.593

And the 90% confidence interval would be given (0.527;0.593).

We are confident that about 54% to 59% of all Americans think the Civil War is relevant.

And this result agrees with the result of part b, since the interval not contains the value of 0.5 we can conclude that the proportion of Americans who thinks that the Civil War is still relevant to American politics and political life it's higher than 0.5 at 90% of confidence.

7 0
2 years ago
ASAP JSUT NEED ANSWER NOT WORK HURRY
crimeas [40]

Answer:

B

Step-by-step explanation:

4x + 11y = 3

11y = -4x + 3

y = -4/11x + 3/11

perp. 11/4

y - 7 = 11/4(x - 2)

y - 7 = 11/4x - 11/2

y -14/2= 11/4x - 11/2

y = 11/4x + 3/2

5 0
3 years ago
Help Me please it’s mathhh
enyata [817]

Answer: t = 5

4 = 2 + 2/ 5 t

4 = 2 +2/ 5

3 0
2 years ago
Please do this question
crimeas [40]
It would be 16 more 6th graders that are not in either band or orchestra.
  15 6th Graders in band
  9 6th Graders in both classes
+18 6th Graders in orchestra
-----
42 6th Graders in either class

  100 6th Graders in total
 -42 6th Graders in either class
-------
58 6th Graders in neither class
 58-42= 16 more 6th Graders that are not in either class
You're welcome :)

7 0
2 years ago
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