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Alex777 [14]
3 years ago
5

Simplify the expressions and find the value:

Mathematics
1 answer:
Dahasolnce [82]3 years ago
3 0

Answer:

x(x−3)+2=x.x−3x+2 \\ =x2−3x+2 \\F or x=1 \\ putting \:  x=1  \: in  \: expression \\ x2−3x+2=(1)2−3(1)+2 \\ =1−3+2 \\ =3−3 \\ =0

Solve  \: 3y(2y−7)−3(y−4)−63 for y=−2 \\ First \:  simplify \:  it, \\ =6y2−21y−3y+12−63 \\ =6y2−24y−51 \\ Put \:  y=−2 \: =6(−2)2−24(−2)−51  \\  =6×4+48−51 \: 6×4+48−51 \\  24+48−51 \\ =21

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Andy had some basketball cards. After he bought 12 more, he had 48 cards. How many cards did Andy have at the start? Write an al
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Step-by-step explanation:

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2 years ago
What's three different ways to write a negative 1/2
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\frac{-1}{2}

\frac{1}{-2}

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Find the equation of the line passing through the point (-6,4) that is perpendicular to the line 5x 3y
elena55 [62]

Answer

y=−3/5x−23/5

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3 years ago
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Arrange the pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (20, 40)
gavmur [86]

Answer: m1 = 0.5

M2= 0.375

M3 = 2.25

M4 = 3.0

M5 = 13.5

M6 = 0.285

M7 = 7.0

Step-by-step explanation:

(20,40)-(15,30)=(5,10), m1=5/10=0.5

(18,48)-(12,32)=(6,16), m2=3/8=0.375

(72,32)-(27,12)=(45,20), m3=9/4=2.25

(60,20)-(45,15)=(15,5), m4=3.0

(243,18)-(27,2)=(216,16), m5=27/2=13.5

(24,84)-(18,63)=(6,21), m6=2/7=0.285...

(84,12)-(63,9)=(21,3), m7=7.0

4 0
3 years ago
One year Perry had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitch
Blizzard [7]

Answer:

z score Perry z=-1.402

z score Alice z=-1.722

Alice had better year in comparison with Perry.

Step-by-step explanation:

Consider the provided information.

One year Perry had the lowest ERA​ of any male pitcher at his​ school, with an ERA of 3.02. For the​ males, the mean ERA was 4.206 and the standard deviation was 0.846.

To find z score use the formula.

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

Here μ=4.206 and σ=0.846

z=\frac{3.02-4.206}{0.846}

z=\frac{-1.186}{0.846}

z=-1.402

Alice had the lowest ERA of any female pitcher at the school with an ERA of 3.16. For the​ females, the mean ERA was 4.519 and the standard deviation was 0.789.

Find the z score

where μ=4.519 and σ=0.789

z=\frac{3.16-4.519 }{0.789}

z=\frac{-1.359}{0.789}

z=-1.722

The Perry had an ERA with a z-score is –1.402. The Alice had an ERA with a z-score is –1.722.

It is clear that the z-score value for Perry is greater than the z-score value for Alice. This indicates that Alice had better year in comparison with Perry.

7 0
3 years ago
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