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konstantin123 [22]
3 years ago
13

A quadratic equation is shown below: 3x2 − 16x + 2 = 0 Part A: Describe the solution(s) to the equation by just determining the

radicand. Show your work. Part B: Solve 9x2 + 3x − 2 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0
<span>i think you mean discriminant in part A  </span>
Δ=b^2-4ac=256-4*2*3=256-24=232
it is positive so it has two answers.
Part B
you can find Δ
Δ=b^2-4ac=9-4*9*(-2)=81
x1=-3+9/18=6/18=1/3
x2=-3-9/18=-12/18=-2/3



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The manufacturer of hardness testing equipment uses​ steel-ball indenters to penetrate metal that is being tested.​ However, the
kumpel [21]

Answer:

Check the explanation

Step-by-step explanation:

Let X denotes steel ball and Y denotes diamond

\bar{x_1} = 1/9( 50+57+......+51+53)

=530/9

=58.89

\bar{x_2}= 1/9( 52+ 56+....+ 51+ 56)

=543/9

=60.33

difference = d =(60.33- 58.89)

=1.44

s^2=1/n\sum xi^2 - n/(n-1)\bar{x}^2

s12 = 1/9( 502+572+......+512+532) -9/8 (58.89)2

=31686/8 - 9/8( 3468.03)

=3960.75 - 3901.53

=59.22

s1 = 7.69

s22 = 1/9( 522+ 562+....+ 512+ 562) -9/8 (60.33)2

=33295/8 - 9/8 (3640.11)

=4161.875 - 4095.12

=66.75

s2 =8.17

sample standard deviation for difference is

s=\sqrt{[(n1-1)s_1^2+ (n2-1)s_2^2]/(n1+n2-2)}

 = \sqrt{[(9-1)*59.22+ (9-1)*66.75]/(9+9-2)}

= \sqrt{1007.76/16}

=7.93

sd = s*\sqrt{(1/n1)+(1/n2)}

=7.93*\sqrt{(1/9)+(1/9)}

=7.93* 0.47

=3.74

For 95% confidence level Z (\alpha /2) =1.96

confidence interval is

d\pm Z(\alpha /2)*s_d

=(1.44 - 1.96* 3.75 , 1.44+1.96* 3.75)

=(1.44 - 7.35 , 1.44 + 7.35)

=(-2.31, 8.79)

There is sufficient evidence to conclude that the two indenters produce different hardness readings.

3 0
3 years ago
Please help me don't understand :(
qaws [65]

Answer:

I think it's the last one. Sorry if I'm wrong

8 0
3 years ago
2) 1 - 3p+2p - 9<br> Your<br> answer<br> This is a required question
Pavlova-9 [17]

Answer:

-p - 8

Step-by-step explanation:

1 - 3p + 2p - 9 = -p - 8

7 0
3 years ago
Use the Rational Zeros Theorem to write a list of all potential rational zeros f(x) = 14x^3 + 56x^2 + 2x - 7
Crank
The factors of 7are -1 and 7 or 1 and -7, the factors of 14 are 1, 2, 7, and 14, or -1,  -2, -7,-14. so the list of potential zeros are: 1/1, 1/2, 1/7, 1/14, 7/1,7/2, 7/7, 7/14, which can be simplified into 1, 1/2,1/7, 1/14, 7, 7/2
add the negative ones: -1, -1/2,-1/7, -1/14, -7, -7/2
I believe there are a total of 12 potential zeros
reference: 
http://www.sparknotes.com/math/algebra2/polynomials/section4.rhtml

3 0
3 years ago
If fix)=x2-2 and g(x) = x-3, what is(f•g)(x)?
borishaifa [10]

Answer:

The last option is correct. (f*g)(x) = x² - 5

Step-by-step explanation:

Since is f * g you have to multiply them together.

x² - 2 * x - 3 (x)

Next ust simplify.

x² -5x

6 0
3 years ago
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