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Mamont248 [21]
3 years ago
11

Rewrite the function by completing the square F(x)=2x^2+3x-2

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
6 0

y = 2 ( x + 3/4 )^2 − 25 8

siniylev [52]3 years ago
5 0

Answer:

\boxed{ \ 2(x+\dfrac{3}{4})^2-\dfrac{25}{8}\ }

Step-by-step explanation:

we should write this function

2x^2+3x-2

this way a(x-b)^2+c

let s check the first terms inx^2 and x

2x^2+3x

this is the beginning of

    2(x+\dfrac{3}{4})^2

indeed

   2(x+\dfrac{3}{4})^2=2x^2+3x+2(\dfrac{3}{4})^2=2x^2+3x+\dfrac{9}{8}

so we can write that

   2x^2+3x=2(x+\dfrac{3}{4})^2-\dfrac{9}{8}

then

   2x^2+3x-2=2(x+\dfrac{3}{4})^2-\dfrac{9}{8}-2=2(x+\dfrac{3}{4})^2-\dfrac{9+16}{8}=2(x+\dfrac{3}{4})^2-\dfrac{25}{8}

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NEED ANSWER ASAP THE TEST IS TIMED!!!!!!!
frosja888 [35]

Answer:

5/-1

Step-by-step explanation:

y1-y2/x1-x2

3 0
3 years ago
Read 2 more answers
What is the square root of 12 divided by 2 plus 16?
slavikrds [6]

Answer:

17.73205081

Step-by-step explanation:

Didn't use a calculator :) Please mark me as brainliest. Thanks!

4 0
3 years ago
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Heated-treated parts are specified to have a hardness of at least 45 (lower specification limit). Any parts that are below 45 ar
Nataly_w [17]

Answer:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(z

The figure shows the calculation for this case.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the hardness of a population, and for this case we know the distribution for X is given by:

X \sim N(48.5,2)  

Where \mu=48.5 and \sigma=2

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(z

The figure shows the calculation for this case.

5 0
3 years ago
The jar only contains nickels and dimes altogether there are 10 coins total of the value is 90 cents how many nickels and how ma
lilavasa [31]
Write a system of equations and solve.

x + y = 10
5x + 10y = 90

Multiply and combine equations

-5x - 5y = -50
5x + 10y = 90
------------------
5y = 40
y = 8
x = 2

There are 2 nickels and 8 dimes in the jar. Hope this helps! :)
3 0
2 years ago
Y2-x3 when x=2,y=4 x1+x3-y2 when x=3 y=5 x4 divide x3 x=6 please help am bad at this
Katen [24]

Answer:

8 , 5 , 5.785

Step-by-step explanation:

y^2 - x^3

first just plug in the numbers and you get

(4)^2 - (2)^3

Multiply

16-8 and this equals 8

x1 + x^3 - y^2

same pattern plug in the numbers

(3)^(1) + (3)^3 - (5)^2

multiply

3 + 27 - 25

P

E

M

D

Addition

Subtraction so do 3+27 first and you get

30 - 25 = 5

x^4 / x^3 plug it in

(6)^4 / (6)^3

multiply

1269  / 216  

divide this and you get

5.875

8 0
2 years ago
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