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2 years ago

How many solutions does the system have? y=−2x+1y=−2x2+1?

Mathematics

2 answers:

dexar [7]2 years ago

5 0

Answer:

Thanks but the answer was 2

Step-by-step explanation:

Flura [38]2 years ago

3 0

Set the equations to equal each other:
-2x²+1=-2x+1

Solve for x:

-2x²+1=-2x+1
-2x²+2x+1=-2x+2x+1
-2x+2x+1-1=1-1
-2x²+2x=0
2x (-x+1)=0

2x=0 and -x+1=0
2/2x=0/2 -x+x+1=0+x
x=0 1=x

There are two solutions, x=0,1

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Classify the real numbers as rational or irrational numbers.

loris [4]

Answer:

omg I'm working on this one too and I cant figure it out did you ever get the answer I can t find it anywhere and I'm not sure what it is all I have is 400 is rational

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required

Katyanochek1 [597]

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

The estimate is of $\pi = 0.61$ , while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}$

$\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2$

$n = 1015.5$

Rounding up, 1016 constituents are required.

More can be learned about the z-distribution at brainly.com/question/25890103

8 0

1 year ago

Which graph best represents the solution set of 2/3x + y ≤ − 2?

DochEvi [55]

Answer:

Step-by-step explanation:

The answer is D. Easy way to tell, the less than or equal to sign indicates a solid line in the graph. Equal=solid line. Also when you solve for y, the slope of the line (-2/3)is negative, indicating a line sloping downward.

6 0

3 years ago

If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and

anyanavicka [17]

Answer: 5%

Step-by-step explanation:

The number of employees that took Winter vacation = 75%

The number of employees that took Both winter and summer vacation = 40%

The number that took Neither = 20

The total number of employees (%) =Winter + Summer - Both + Neither = 100%

75%+ Summer - 40%+ 20%= 100%

Solving for Summer = 45%

Now we are interested in the employees that took summer but not winter = Summer only = Summer - Both(i.e. summer overlap with winter) = 45%-40%= 5%

5 0

2 years ago

I NEED HELP! I WILL MARK BRANLIEST! I need help with 11 & 12

antiseptic1488 [7]

Answer:

The answer is 17 and no

Step-by-step explanation:

#11 The room is a cube so...

cube root the volume 4913

³√4913=17

The length of the room is 17 feet.

#12

Square root 121

√121=11

Since the car is 13 feet the car will not fit in the garage which is 11ft.

6 0

2 years ago