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3 years ago

What is the solution set of -x^2-6<0 ?

Mathematics

1 answer:

natita [175]3 years ago

3 0

Answer:

All real numbers

Step-by-step explanation:

Let's solve your inequality step-by-step.

−x2−6<0

Let's find the critical points of the inequality.

−x2−6=0

−x2−6+6=0+6(Add 6 to both sides)

−x2=6

−x2

−1

(Divide both sides by -1)

x2=−6

x=±√−6(Take square root)

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3 years ago

Someone please help me !

Leni [432]

Answer:

Can't tell if it went through...

1. Shop A = 2x

2. Shop B = 2x - 580

3. Total = Shop A + Shop B

1949 = 2x + 2x - 580

4. Combine like terms

2x + 2x = 4x

1949 = 4x - 580

5. Add 580 to both sides (to remove -580 from right side)

1949 + 580 = 4x - 580 + 580

2529 = 4x

6. Divide both sides by 4 (to get x)

2529 / 4 = 4x / 4

632.25 = x

7. Shop A = 2x

2 * 632.25 = 1264.50

Shop A = 1264.50

8. Shop B = 2x - 580

2 * 632.25 - 580 = 684.50

Shop B = 684.50

Check: Shop A + Shop B = 1949

1264.50 + 684.50 = 1949

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Shop B = 684.50

Step-by-step explanation:

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3 years ago

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.

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3 years ago