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spin [16.1K]
2 years ago
5

Evaluate if x = 1 , y = 3 , and z = 5 |5z - 2y|

Mathematics
1 answer:
Aleks04 [339]2 years ago
4 0

Answer:

1

Step-by-step explanation:

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Simplify the expression 17y-2x+3(3x-y)+2x
Marat540 [252]

Answer:

9x+14y

Step-by-step explanation:

First Multiply the number outside of the brackets with the numbers inside the brackets. Ex:3 x 3x and 3 x -y

17y-2x+3(3x-y)+2x

That should get you to this.

17y-2x+9x-3y+2x

Next combine like terms.

14y+9x

Hope this helps!

5 0
3 years ago
Given the function f(x)=X^2- 3x, find f(-4)
sladkih [1.3K]
Put -4 in place of x
-4 to the second power is 16 so it would be 16-(-12)= 28
5 0
2 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.

3 0
3 years ago
What is the inequality for x >or equal to -2 and x >or equal to 7
4vir4ik [10]
The answer is x >_ -2 and x >_ 7.
8 0
2 years ago
Write the explicit formula for the geometric sequence.
netineya [11]
We are given the series of <span>a1 = -5 a2 = 20 a3 = -80. In this case, we can see that this is a geometric sequence with a geometric ratio equal to 20/-5 = -80/ 20 or equal to 4. Hence, r is equal to 4, a1 is equal to -5. 

The geometric sequence formula is an = a1*r^(n-1) = -5 * (-4)^ (n-1) where n is an integer. Answer is B.</span>
8 0
3 years ago
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