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alisha [4.7K]
3 years ago
11

3. What are all the real and complex solutions of x3 + 2x2 + 3x + 6 = 0? If necessary, round to the nearest tenth.

Mathematics
1 answer:
Alla [95]3 years ago
7 0

Answer:

it is C

Step-by-step explanation:

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A child in a neighborhood had a lemonade stand where large cups sold for $0.75, medium cups sold for $0.60 and small cups for $0
chubhunter [2.5K]

Answer:

  • s + m + L = 78
  • 0.45s +0.60m +0.75L = 46.95
  • s - m + L = 4

Step-by-step explanation:

The problem statement asks for the number of each size cup sold. You are told there are three sizes, so it is convenient to use one variable to represent the number of cups of a given size that were sold—three variables total.The problem statements tell you the relationships between the numbers:

  • the total number of cups sold
  • the total value of cups sold
  • the relationship between numbers of one size versus other sizes

It is appropriate to write an equation for each of these relationships, for a total of three equations. (Here, the last of these equations is put into standard form to make it easier to translate this to a matrix equation for solving by calculator.)

___

The solution is: 20 small, 37 medium, and 21 large.

4 0
3 years ago
What is the value of X. 2.5(x+4)= 4.75<br>​
faltersainse [42]

Answer:

-2.1

Step-by-step explanation:

2.5(x+4)=4.75

or,2.5x+10=4.75

or,2.5x=4.75-10

or,2.5x= -5.25

or,x =-5.25/2.5

or,x= -2.1

∴x=-2.1

     (Ans)

Hope you find it helpful.........

5 0
3 years ago
Read 2 more answers
Y = −(x + 4)2 − 7 vertex
ICE Princess25 [194]

Answer:

The vertex (h,k) is (-4,-7).

Step-by-step explanation:

I assume you are looking for the vertex y=-4(x+4)^2-7.

The vertex form of a quadratic is y=a(x-h)^2+k where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.

Anyways if you compare y=-4(x+4)^2-7 to y=a(x-h)^2+k , you should see that a=-4,h=-4,k=-7.

So the vertex (h,k) is (-4,-7).

3 0
3 years ago
Read 2 more answers
Please help asap really important
kirill115 [55]
1) slope-2/3, y-intercept-(0,6)
2) slope- -2/3, y-intercept-(0,-3)
3) slope- 8, y-intercept-(0,-6)
4) slope- 6, y-intercept-(0,-8)

6 0
3 years ago
The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi
antoniya [11.8K]

Answer:

a) 135 minutes

b) 15

c) 0.5

d) 0.3707

Step-by-step explanation:

A) What is the distribution's mean

mean(m) = (120 + 150)/2 = 270/2 = 135 minutes

B) What is the distribution's standard deviation

standard deviation(s) = \sqrt{\frac{(120-135)^{2}+(150-135)^{2}  }{2} }

s = 15

C) What is the probability that a flight is less than 135 minutes

firstly calculate z score

z score = (x - m)/s = (135 - 135)/15 = 0

P(x<135) = z(0) = 0.5

D) What is the probability that a flight is more than 140 minutes?

z score = (x - m)/s = (140 - 135)/15 = 0.33

P(x>140) = 1 - P(x<140) = 1 - 0.6293 = 0.3707

8 0
3 years ago
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