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3 years ago

Solve the equation by completing the square. If necessary, round to the nearest hundredth.

2 answers:

8 0

Ax^2+bx=c
REMEMBER THIS

ok
first, make sure that a is 1
done

now take 1/2 of b and square it

-18/2=-9, (-9)^2=81
add that to both sides

x²-18x+81=19+81
x²-18x+81=99
factor perfect square
(x-9)²=100
square root both sides
don't forget positive and negative root
x-9=10
x-9=-10
ad 9 to both sides

x=19
x=-1

answer is -1; 19

2nd choice is answer

Kobotan [32]3 years ago

5 0

Answer:

Option B. x = -1, 19

Step-by-step explanation:

The given equation is x² - 18x = 19

We can get the value of x by factorizing the expression or by quadratic formula.

We will try to factorize the equation first. If we find no factors then we will apply quadratic formula to get the value of x.

x² - 18x - 19 = 0

x² - 19x + x - 19 = 0

x(x - 19) + 1(x - 19) = 0

(x - 19)(x + 1) = 0

x = 19, -1 will be the solutions.

So there is no need to apply quadratic formula.

Option B. x = -1, 19 is the answer.

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Factorize: x^2 + (a^2+1)/a x+1

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This is what I get not sure if the problem on numerator is together if it is then . X^2+(a^2+1) x^2+a^2+1. -----------------= ----------------- AX+1. Ax+1 Answer: a^2+x^2+1 ---------------- AX+1 If I wrote the actual problem wrong let me know. This is what I understood.

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2 years ago

A graduate school entrance exam has scores that are normally distributed with a mean of 560 and a standard deviation of 90. What

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26.8% of examinees will score between 600 and 700.

This question is based on z score concept.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

$z={x-\mu \over \sigma }$

where:

μ is the mean

σ is the standard deviation of the population

Given:

μ = 560

σ = 90

For

600≤ X≤700

for x = 700

Z score =x - μ/σ

=(700 - 560)/90

= 1.55556

P-value from Z-Table:

P(560<x<700) = P(x<700) - 0.5 = 0.44009

for x = 600

Z score =x - μ/σ

=(600 - 560)/90

= 0.44444

P-value from Z-Table:

P(560<x<600) = P(x<600) - 0.5 = 0.17164

∴ P(600<x<700) = P(560<x<700) - P(560<x<600)

= 0.44009 - 0.17164

=0.26845

∴26.8% percentage of examinees will score between 600 and 700.

Learn more about Z score here :

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1 year ago

Which relation is a function?

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Answer:

Step-by-step explanation:

if you don't have from same x different outcomes is a function

think that x is a day you count votes, you can not get for the same day different y number of votes ( something is fishy then)

A. not a function because (6, -3) and (6, 3)

B. not a function because (4,7) and (4,2)

C. is a function

D. not a function because (2, -1) (2,1) (2,3)

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2 years ago

if f(x)=2(x)^2+5sqrt(x+2), complete the follwoing statement ( round your answer to the nearest hundreth) : f(0)=_____

Maslowich

Answer:

$f(0)=7.07$

Step-by-step explanation:

We have the function $f(x)=2(x)^2+5\sqrt{(x+2)}$

In this case we want to find the value of f0)

To find f(0) you must replace the x in the function with the number 0 and solve as shown below

$f(0)=2(0)^2+5\sqrt{(0+2)}$

$f(0)=0+5\sqrt{(0+2)}$

$f(0)=5\sqrt{(2)}$

Therefore

$f(0)=7.07$

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3 years ago

Brady has a four square ball with a diameter of 12 inches when it is inflated what is the volume of the foursquare ball to the n

polet [3.4K]

Answer:

904.9 in^3

Step-by-step explanation:

Given data

We are told that the ball is 12 inches in diameter

R= diamter/2= 12/2= 6 in

The volume of a sphere is given as

V= 4/3πr^3

substitute

V= 4/3*3.142*6^3

V= 4/3*3.142*216

V=2714.688/3

V=904.9 in^3

Hence the volume is 904.9 in^3

4 0

2 years ago