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bulgar [2K]
3 years ago
11

Find the values of a and b such that x^2 + 3x + 4 = (x + a)^2+ b

Mathematics
1 answer:
sesenic [268]3 years ago
8 0

Answer:

x {}^{2}  + 3x + 4 = (x  + a) {}^{2}  + b \\ x {}^{2}  + 3x + 4 = x {}^{2}  + 2ax + a {}^{2} + b \\   = x {}^{2}  + a {}^{2}  + 2ax + b \\  2a = 3 \\ b = 4 \\ a  =  \frac{3}{2}  \\ b = 4

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In the distribution, the first quartile,median and mean are 30.8,48.5 and 42.0 respectively. If the co efficient skewness is -0.
finlep [7]

Answer:

The third quartile is 56.45

Step-by-step explanation:

The given parameters are;

The first quartile, Q₁ = 30.8

The median or second quartile, Q₂ = 48.5

The mean, \bar x = 42.0

Coefficient of skewness = -0.38

The Bowley's coefficient of skewness (SK) is given as follows;

SK = \dfrac{Q_3 + Q_1 - 2 \times Q_2}{Q_3 - Q_1}

Plugging in the values, we have;

-0.38 = \dfrac{Q_3 + 30.8 - 2 \times 48.5}{Q_3 - 30.8}

Which gives;

-0.38×(Q₃ - 30.8) = Q₃ + 30.8 - 2 × 48.5

11.704 - 0.38·Q₃ = Q₃ - 66.2

1.38·Q₃ = 11.704 + 66.2 =  77.904

Q₃ = 56.45

The third quartile = 56.45.

5 0
3 years ago
HELP ME PLEASE WITH 1,2 AND 3 PLEASE DON'T TAKE LONG TO RESPOND !!​
soldi70 [24.7K]

Answer:

1. -19x

3. 23 -  8x

5. -18x + 2y

Step-by-step explanation:

first: 3x - x = 2x

2x - 22x = -20x

-20x + x = -19x

second one:

8 - (-15) = 23

12x - 20x = -8 x

23 - 8x

third:

-10x - 8x = -18x

3y - y = 2y

-18x + 2y

6 0
2 years ago
Read 2 more answers
Suppose you deposit $1000 in a college fund that pays 7.2% interest compounded
SSSSS [86.1K]

Answer: A = P(1 + r/n)nt

= $1415.71

7 0
3 years ago
Find the value of x and y. This has to do with geometry
Ray Of Light [21]

Answer:

x = 30°

y = 30°

Step-by-step explanation:

By inscribed angle theorem:

x = y =  \frac{1}{2}  \times 60 \degree \\  \\ x = y = 30 \degree

4 0
2 years ago
How do I find the volume of this need help
Irina-Kira [14]
To find the volume, you need to multiply l x w x h

5 x 7 x 10

5 x 7 = 35

35 x 10 = 350

350 is the correct answer

Glad I could help, and good luck!

AnonymousGiantsFan
5 0
3 years ago
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