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2 years ago

Solve x^2-6x+25 = 0 by completing the square.

Mathematics

1 answer:

Oksana_A [137]2 years ago

3 0

First, subtract both sides by 25:

x^2 - 6x = -25

Because we're completing the square, we subtract both sides by 9:

x^2 - 6x - 9 = -34

(x - 3) = 5.831 (about)

x = 8.831

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Unit 5. 8) Please help. Which of the two-dimensional cross sections listed below could be created by cutting a cube with a plane

inysia [295]

Answer:

The correct answers is rectangle and square.

4 0

2 years ago

A teacher deposits $3,000 in a retirement fund. If she doesn't add any more money to the fund, which earns an annual interest ra

Cloud [144]

Okay, let me explain:
Take 6% of 3000 and add it to 3000. So basically turn the 6% into a decimal which would be 0.06, and multiply the 3000 by it. So, 3000 x 0.06 which equals 3,180. I hope this time it helped :) message me if you need further instructions.

6 0

2 years ago

Last year, the mean running time for a certain type of light bulb was 8.5 hours. This year, the manufacturer has introduced a ch

Free_Kalibri [48]

Answer:

H0 : μ = 8.5

H1 : μ > 8.5

1 sample t test ;

Test statistic = 2.53

Pvalue = 0.994

No, we fail to reject the Null ;

There is no significant evidence to support the Claim that the mean running time of light bulb is greater Tha last year.

Step-by-step explanation:

H0 : μ = 8.5

H1 : μ > 8.5

Test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(8.7 - 8.5) ÷ (0.5 / sqrt40)

Test statistic = 2.53

The Pvalue :

P(Z < 2.53) = 0.9943

Pvalue = 0.994

Decison region :

Reject H0 ; if Pvalue < α

0.9943 > 0.05 ; We fail to reject the Null

5 0

2 years ago

I need help with this!! What is the answer???!

Natalija [7]

Answer:

Step-by-step explanation:

Sum of interior angles of a pentagon = 540°

Therefore,

2x° +2x° + 3x° + 3x° + 10 = 540°

10x° + 10° = 540°

10x° = 540° - 10°

10x° = 530°

10x = 530

x = 530/10

x = 53

7 0

2 years ago

Which represents a function?

VLD [36.1K]

Answer:

$\boxed{ \text{Option \: D}}$

Step-by-step explanation:

All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called vertical line test.

If the vertical line intersects the graph of a relation at one point , the relation is a function .
If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.

--------------------------------------------------

Let's check all of the options :

☐ Option A :

The vertical line cuts the graph at two points. So , the graph does not represent a function.

☐ Option B

No! This is also not a function as the vertical line cuts the graph at two points.

☐ Option C

Nah! This too can't be called a function as the vertical line cuts the graph at two points.

☑ Option D

Yep! The vertical line cuts the graph at one point. Thus , the graph represents a function.

Yayy!! We found our answer. It's ' Option D '.

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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4 0

2 years ago