Explain how to solve 5x^2-3x=25 by completing the square. What are the solutions?

Answers

Answer 1

Answer:

x1 = √(509) /100 + 3/10

x2  = -√(509) /100 + 3/10

Step-by-step explanation:

We do completing the square as follows:

1. Put all terms with variable on one side and the constants on the other side.

5x^2 - 3x = 25

2. Factor out the coefficient of the x^2 term.

5(x^2 - 3x/5) = 25

3. Inside the parentheses, we add a number that would complete the square and also add this to the other side of the equation. In this case we add 9/100 and on the other  side we add 9/20.

5(x^2 - 3x/5 + 9/100) = 25 + 9/20

4. We simplify as follows:

5(x^2 - 3x/5 + 9/100) = 25 + 9/20

5(x - 3/10)^2 = 509/20

(x - 3/10)^2 = 509/100

x1 = √(509) /100 + 3/10

x2  = -√(509) /100 + 3/10


Related Questions

8. Which expression stands for "32 more than a number d"?
A 32 xd
B 32 - d
C 32 +d
D 32 = d.

Answers

your answer will be C because we have to add 32 to a random number d which is 32+d :)

Answer:

c

Step-by-step explanation:

what is the answer to 4/5 x 5/8

Answers

Answer:

0.5

Step-by-step explanation:

I said soooosnsmmsmsms

the answer to this is 0.5! hope this helps

What number must you add to complete the square?
x2 + 16x = 3
O A. 16
B. 36
O C. 64
O D. 72

Answers

What number must you add to x² + 16x = 3 to complete the square 64: Option C

What is a perfect square?

You should be aware that a perfect square is a term that has two common factors

The given equation is x² + 16x = 3

To make the equation a perfect square, Add the square of half of the coefficient of s to both sides

This is to say that (16/2)² = 8² = 64

The equation becomes x²+16x+64 = 3+64

Then you can factorize the equation and simplify the right hand side

Learn more about perfect squares on https://brainly.com/question/385286

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5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). The probability that X is between 1.48 and 15.56 is _____________. Write out the probability notation for this question.

Answers

Answer:

The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.

This means that [tex]\mu = 8, \sigma = 4[/tex]

The probability that X is between 1.48 and 15.56

This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So

X = 15.56

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15.56 - 8}{4}[/tex]

[tex]Z = 1.89[/tex]

[tex]Z = 1.89[/tex] has a pvalue of 0.9706

X = 1.48

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.48 - 8}{4}[/tex]

[tex]Z = -1.63[/tex]

[tex]Z = -1.63[/tex] has a pvalue of 0.0516

0.9706 - 0.0516 = 0.919

Write out the probability notation for this question.

[tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

har says that ¼ of a cereal bar is larger than ⅓ of the cereal bar. Is he correct? Explain your thinking/reasoning.

Answers

No, because if we take 1/4 and turn it into a decimal, it is 0.25. 1/3 into a decimal is 0.33. This can also be correct if we use the least common denominator. The LCM of 4 and 3 is 12. So if we take 1/4 and multiply it by 3, you will get 3/12. 1/3 multiplied by 4 is 4/12.

is it true or false that all whole numbers are natural numbers​

Answers

Answer:it can very

Step-by-step explanation:

It depends on which definition of 'whole numbers' you use.

Some definitions say the whole numbers are the set of positive integers including zero; or the set of all non-negative integers. In this case, the answer would be 'false', since the set of integers includes negatives.

However, if you are using a definition of whole numbers which includes positive integers, including zero, and their negatives, the answer would be 'true'. Figure out how the term 'whole numbers' is being defined, then you can get your answer.

Answer:

every natural number is a whole number, but, every whole number is not a natural number.

Step-by-step explanation:

-17-x=8 pls answer bc I'm deparet

Answers

Answer:

x= -25

Step-by-step explanation:

Do 8 plus 17=25

x must be positive so -25

x=-25 if you are solving for x

Write an exponential equation with (1, 8) and (2,32)

Answers

Answer:

y=2(4^x)

Step-by-step explanation:

exponential equation in form y=ab^x

sub both point and solve

8=a(b^1)=ab...(1)

32=a(b^2)....(2)

equation (2)/(1):

32/8=b

b=4

a=2

The hanger image below represents a balanced equation.
30
26
g
Find the value of g that makes the equation true.
g=

Answers

4 because 26+4 is equal to 30

ready readyup here we go

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

all the other ones are incorrect.

HELP NEEDED PLEASE HELP

There were some apples in a box. 12% of the apples were rotten.
There were 36 rotten apples in the box. How many apples were there
in the box?

Answers

Answer:

300

it is given that 12% were rotten

12% = 36

then let total no of apple be X

then , x*12/100 = 36

x= 36*100/12

x = 300

hence total apple were. = 300

hope it helps

300

If: 12 = 36
Then: 100 = X

X= 100*36/12 = 300

Explain in words please.

Answers

Answer:

I don't know what you mean by "explain in words", but I'm assuming you were referring to point b.

Step-by-step explanation:

You have to see that the rate of change, the "speed" at which her elevation decreases is 0.25 feet/s, such that in 8 seconds she went down by 2 feet.

Thus, until 50, you just gotta do the calculation for that speed. You notice that she needs to go 30 feet, at a speed of 0.25 feet per second, or 1 foot every 4 seconds.

A ladder leans against a brick wall. The foot of the ladder is 7 feet from the wall. The ladder reaches a height of 22 feet on the wall. What is the angle the ladder makes with the wall? (to the nearest tenth)

Answers

Answer: 17.7

Step-by-step explanation:

[tex]tan x = \frac{7}{22} \\tan x = .318181\\inverse tan of .3181818= 17. 65[/tex]

Calculate the lateral surface area of the rectangular prism:

Answers

Find the area of all six rectangular faces of the prism. (A= l x b)

A1: 3.1 x 5 = 15.5
A2: 7.4 x 3.1 = 22.94
A3: 5 x 7.4 = 37
A4: 3.1 x 7.4 = 22.94
A5: 7.4 x 5 = 37
A6: 3.1 x 5 = 15.5

Add all answers together to get your answer of 150.88 cm^2.
Hope this helps!!

he dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.

Alternative text

Use each data set to make an inference about the number of fish caught each day.
A.


On average, most participants caught and released 5 or more fish.
B.


More participants caught 6 fish than any other number.
C.


The same participants who caught and released 1 fish the first day caught and released 1 fish the second day.
D.


On average, participants caught and released more fish on Day 2.

Answers

Answer:

B

Step-by-step explanation:

More participants caught 6 fish than any other number.

We have given that,

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.

What is the random sample?

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.

More participants caught 6 fish than any other number.

To learn more about the random sample visit:

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Solve for x. x^2 + 4x + 4 = 8

help me out i’ll give you the brainliest! :)

Answers

-4.828, 0.828 I hope this helps

3+(4x4+1)x2. Due tomorrow morning at 12:00!

Answers

3+(4x4+1)x2
=3+(17)x2
=3+34
=37

What is 5 with exponent of -3

Answers

0.008 is the correct answer

Answer:

the answer is .008 if my math is correct

Find the coordinates of the midpoint of each segment with the given endpoints.
S(13,7) and T(-2, -7)

Answers

The midpoint of those two would be (5.5, 0).

Answer:

This would be (5.5,0)

Step-by-step explanation:

Hope it helped!

what is the complement and supplement of 35 degrees​

Answers

Answer:

it's compliment is 55 degrees  (55+35 = 90 degrees)

it's supplement is 145 degrees (145 + 35 = 180 degrees)

Step-by-step explanation:

describe 3 fractions and explain your reasoning using full sentences?​

Answers

Answer:

gbrggbtgrrbfrhrhhhhhthrghrjwhrhr

Step-by-step explanation:

g

g

g

g

gg

g

rwribfebrgvebisbvfdfjndfinfvijnijnvdiniwdiengueinrugbvhbigb

FOOOOOOOOOOOOOT YEEEEEEEEEEEEEET

O is:
rational
irrational

Answers

There’s no picture, please post one

Phillip writes the following equation to show how many hours h he needs to work to earn $108 at $12 per hour: h12=108. Is his equation correct? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

He is correct because h which is how many hours he needs to work times $12 will give you $108 which is the total cost.

What is the value of the expression (2)6 ?​

Answers

Answer:

6x2 =12

Step-by-step explanation: when ever u see that just multiply

A complex shape with measurements 6 inches, 5 inches, 4 inches, 3 inches, 4 inches, 2 inches, 6 inches, 10 inches.
What is the perimeter of the shape?

30 inches
40 inches
60 inches
72 inches

Answers

The answer is 40,you just add them all together to get it

Answer:

40 B

Step-by-step explanation:

edge 2021

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

40 points? naw naw you scamming
no it’s not a solution bc 3+9 = 12 not 8

What's the inverse for -8x

Answers

Answer:

positive 8 i think

Step-by-step explanation:

-8=8


This diagram shows a right cylinder. Recall that the area
of a circle Is A = 7r. What is the formula for the
volume of the cylinder?
o V = arh
o
V=
arh
2
O V = 2rh
h
V = 2h

Answers

Picture would be very helpful.

Line g has a slope of
Line ris parallel to line q. What is the slope of line r?
Simplify your answer and write it as a proper fraction, improper fraction, or integer? Please I need help!!

Answers

Answer:

45

Step-by-step explanation:

45

Help does someone know the answer? I NEED IT NOW PLEASE

Point X is on a number line halfway between –5 and 11. Point Y

represents an integer that has the same absolute value as point X.

What integers could be represented by point Y?

please help asap

Answers

Answer:

[tex]y = 3[/tex] or [tex]y =-3[/tex]

Step-by-step explanation:

Given

x = midpoint of -5 and 11

y = absolute value of x

Required

Determine the value of y

First, calculate x.

[tex]x = \frac{1}{2}(-5 + 11)[/tex]

[tex]x = \frac{1}{2}(6)[/tex]

[tex]x = 3[/tex]

y can then be represented as:

[tex]|y| = x[/tex]

[tex]|y| = 3[/tex]

Split:

[tex]y = 3[/tex] or [tex]-y = 3[/tex]

[tex]y = 3[/tex] or [tex]y =-3[/tex]

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