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2 years ago

Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?

Mathematics

1 answer:

Ber [7]2 years ago

5 0

Answer:

$x^2$ + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

(x+2)^2 + 5(x+2) - 6 = 0

x^2 + 4x + 4 + 5x + 10 - 6 = 0

x^2 + 9x + 8 = 0

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The grade appeal process at a university requires that a jury be structured by selecting eight individuals randomly from a pool

anygoal [31]

Answer: The probability of selecting a jury of all faculty=0.000071

The probability of selecting a jury of six students and two two faculty=0.3667

Step-by-step explanation:

Given: The number of students = 9

The number of faculty members=11

The total number of ways of selecting jury of eight individuals= $^{20}C_8=\frac{20!}{(20-8)!\times8!}=125970$

The number of ways of selecting jury of all faculty= $^9C_8=\frac{9!}{8!(9-8)!}=9$

The probability of selecting a jury of all faculty= $\frac{9}{125970}=0.000071$

The number of ways of selecting jury of six students and two two faculty

$=^9C_6\times ^{11}C_2=\frac{9!}{6!(9-6)!}\times\frac{11!}{2!\times(11-2)!}\\=84\times55=4620$

Now, the probability of selecting a jury of six students and two two faculty

$=\frac{4620}{125970}=0.03667$

7 0

3 years ago

Someone please help me?

vekshin1

Coordinates of the center you can find from
x-3=0 and y+5=0
x=3 and y=-5
(3,-5) is the center of the circle.

25 is a square of the radius.
r²=25, so
r=5

Center (3,-5), r=5
So, the answer is D.

4 0

3 years ago

I need help aklllllllllllllllllfdp[;lgjfg

Katyanochek1 [597]

Answer:

i think its 17

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the area of the composite figure 262 264 266 268

sineoko [7]

Answer:

264cm2

Step-by-step explanation:

the length of line in green = 5 cm

the length of line in yellow = 3 cm

the length of line in red = 6 cm

the length of line in white = 16 cm

the total area = 100 + 12 + 12 + 20 + 24 + 96 = 264 cm2

5 0

4 years ago

Read 2 more answers

Tom has a fair spinner with six sides. They are labelled red, red, blue, green, red, blue. Choose the word that best describes t

s344n2d4d5 [400]

Answer:

It is MOST LIKELY NOT going to land on green.

Step-by-step explanation:

Since the spinner has 6 sides, the total possible outcome is 6. There are 3 reds, 2 blues and 1 green.

The probability that the spinner will land on a green is $\frac{1}{6}$ . But since we are looking for the probability that it won't land on green, we have $1 $-$ \frac{1}{6} = \frac{5}{6}$

From here we can best describe the likelihood that the spinner will land on a colour not green as: it is MOST LIKELY NOT going to land on green

6 0

3 years ago