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Hitman42 [59]
3 years ago
14

Mr. Garcia has been asked to give 6 desks to Mrs. Johnson. He needs to keep at least 17 desks for his students. He created a mod

el to find x, the number of desks he must have in order to give 6 desks to Mrs. Johnson. Which inequality represents the model for this situation?
Mathematics
1 answer:
kumpel [21]3 years ago
8 0

Answer:

The inequality which represents the model for this situation is x-6\geq 17.

Step-by-step explanation:

Let Mr. Garcia has x number of desks initially.

He has been asked to give 6 desks to Mrs. Johnson.

Also, he needs to keep at least 17 desks for his students.

So, after giving 6 desks to Mrs. Johnson from the total number of desks he has, he must have at least 17 desks for his students.

Therefore, the inequality is: x-6\geq 17.

Hence, the inequality which represents the model for this situation is x-6\geq 17.

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Match each graph with its corresponding equation
s344n2d4d5 [400]
The equation of the parabolas given will be found as follows:
a] general form of the parabolas is:
y=k(ax^2+bx+c)
taking to points form the first graph say (2,-2) (3,2), thus
y=k(x-2)(x-3)
y=k(x^2-5x+6)

taking another point (-1,5) 
5=k((-1)^2-5(-1)+6)
5=k(1+5+6)
5=12k
k=5/12
thus the equation will be:
y=5/12(x^2-5x+6)

b] Using the vertex form of the quadratic equations:
y=a(x-h)^2+k
where (h,k) is the vertex
from the graph, the vertex is hence: (-2,1)
thus the equation will be:
y=a(x+2)^2+1
taking the point say (0,3) and solving for a
3=a(0+2)^2+1
3=4a+1
a=1/2
hence the equation will be:
y=1/2(x+2)^2+1


5 0
3 years ago
Juan earns $625 per week. He is married and claims 3 withholding allowances. He pays $90 each
atroni [7]

Answer:

what is this

Step-by-step explanation:

7 0
3 years ago
Factor b2 + b – 6.
Ulleksa [173]
The answer is A,(b + 3)(b - 2)
6 0
3 years ago
Help me with this!!!!
sdas [7]

Answer:

IJ = 34

Step-by-step explanation:

Since HK = JK, then IK is a perpendicular bisector and Δ is isosceles, then

IJ = HI , that is

2s = s + 17 ( subtract s from both sides )

s = 17

Then

IJ = 2s = 2 × 17 = 34

7 0
3 years ago
Read 2 more answers
The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a
Leya [2.2K]

Answer:

a) 0.25

b) 52.76% probability that a person waits for less than 3 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \lambda e^{-\lambda x}

In which \lambda = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

In this question:

m = 4

a. Find the value of λ.

\lambda = \frac{1}{m} = \frac{1}{4} = 0.25

b. What is the probability that a person waits for less than 3 minutes?

P(X \leq 3) = 1 - e^{-0.25*3} = 0.5276

52.76% probability that a person waits for less than 3 minutes

3 0
3 years ago
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