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Natasha2012 [34]

3 years ago

15

Find roots of 4x^2-2x+9

1 answer:

Korolek [52]3 years ago

4 0

discriminant= b^2-4ac= (-2)^2-4(4)(9)= -140<0

since discriminant <0, graph is always positive, x has no real roots

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(5, 3) and (8, -2) Write the standard form of the equation of the line that passes through the given points.

Lerok [7]

Slope = (y2 - y1) / (x2 - x1)
(5,3)...x1 = 5 and y1 = 3
(8,-2)..x2 = 8 and y2 = -2
now we sub
slope = (-2 - 3) / (8 - 5) = -5 / 3

y = mx + b
slope(m) = -5/3
use either of ur points..(5,3)...x = 5 and y = 3
now we sub and find b, the y int
3 = -5/3(5) + b
3 = -25/3 + b
3 + 25/3 = b
9/3 + 25/3 = b
34/3 = b

ur equation is y = -5/3x + 34/3...but we need it in standard form

y = -5/3x + 34/3
5/3x + y = 34/3
5x + 3y = 34 <=== standard form

3 0

3 years ago

Read 2 more answers

Paul bought a total of 24 sandwiches for his birthday party.The amount of turkey sandwhiches was three times the amount of ham s

mario62 [17]

I hope this helps you

3 0

3 years ago

Write the coordinates of the vertices after a reflection over the x-axis. 1072

Liula [17]

The reflection about x-axis results in same x coodinate with oppositive of y coordinate. It can be expressed as,

$(x,y)\rightarrow(x,-y)$

Determine the coordinates of the vertices after reflection over the x-axis.

$Q(6,-8)\rightarrow Q^{\prime}(6,8)$ $R(7,-8)\rightarrow R^{\prime}(7,8)$ $S(7,-5)\rightarrow Q^{\prime}(7,5)$ $T(6,-5)\rightarrow T^{\prime}(6,5)$

6 0

10 months ago

For which value of x is the equation 3(x+2)+x=2x+16 true?

Arturiano [62]

Answer:

1) take the first part of the equation and work it by multiplying (x+2) by 3

3(x+2)+x

3x +6+x

2)put the answer you got into the question you were given

3x + 6+x =2x +16

3)group the x variables and the non x variables

3x +x -2x =16 -6

4) Now work the equation you have

3x+x-2x=16-6

4x-2x=16-6

2x=16-6

2x=10

5) you divide both sides by the x variable

2x=10

2x/2 =10/2

x=5

therefore x is 5

3 0

3 years ago

A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of

Studentka2010 [4]

Answer:

The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099

Step-by-step explanation:

A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of 8 dollars.

$Mean = \mu = 87$

Standard deviation = $\sigma = 8$

We are supposed to find proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars i.e.P(104.60<x<108.20)

$Z=\frac{x-\mu}{\sigma}$

At x = 104.60

$Z=\frac{104.60-87}{8}$

Z= 2.2

At x=108.20

$Z=\frac{108.20-87}{8}$

Z= 2.65

Refer the z table for p value :

P(x<108.20)-P(x<104.60)=P(Z<2.65)-P(Z<2.2)=0.9960-0.9861=0.0099

Hence The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099

4 0

3 years ago