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NemiM [27]
2 years ago
11

Expand the product (x-3)(x+2)

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
8 0

The answer is-

x^2−x−6

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Based on the model, approximately how many customers will be on the restaurant when there are 10 cars parked in the restaurant’s
Zanzabum

Answer:

23

Step-by-step explanation:

From the graph, derive the best fit equation :

Using the points ;

(0,2.5)  (100 ,35)

x1 = 0 ; y1 = 2.5 ; x2 = 100 ; y2 = 35

Slope formula, m = (y2-y1)/(x2-x1)

m = (35-2.5)/(100-0)

m= (32.5)/100

m = 0.325

The y intercept, value on the graph where best fit line crosses the y axis = 2.5

The equation :

y = mx + c

c = intercept ; m = slope

y = 0.325x + 2.5

y = Number of cars

x = number of customers

The number of customers if there are 10 cars parked :

10 = 0.325x + 2.5

10 - 2.5 = 0.325x

7.5 = 0.325x

x = 7.5 / 0.325

x = 23.076

x = 23

6 0
3 years ago
Please answer the question in the picture below
Elanso [62]
The answer is b because there is a negative in the exponent and the number needs to be a single digit and 54 is double digit. hope this helps!
5 0
3 years ago
Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from​ B, a distance o
g100num [7]

Answer:

The value  is  k =109.6 \ miles

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

   The distance from city A to B is   AB =  467.3 miles

   The bearing from B to  C is  \theta_{BC} =  N 28.7E

   The bearing from B to  A is  \theta_{BA} =  N 60.7E

   The  bearing from A to  B is   \theta_{AB} =  S60.7W

    The  bearing from A to  C is   \theta_{AC} =  S79.1W

Generally from the diagram

     \theta_A  =  180 - 60.7 -79.1

=>  \theta_A  =  40.2 ^o

Also

     \theta_B  =  32^o

and  

      \theta_C  =  180 - (\theta_A  +\theta_B )

=>   \theta_C  =  180 - (40.2  + 32 )

=>   \theta_C  =  107.8 ^o

Generally according to Sine Rule

     \frac{BC}{sin (\theta_A)}  = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}

=>   \frac{BC}{sin (40.2)}  = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}    

So

     \frac{BC}{sin (40.2)}  = \frac{467.3 }{sin (107.8)}

=>  BC = 316.8 \ miles

Also  

    \frac{CA}{sin (32)} =  \frac{467.3 }{sin (107.8)}

    CA = 260 .1 \ miles

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct​ flight is mathematically represented as

      k = [CA +BC]  - AB

=>     k = [260 .1 +316.8]- 467.3

=>  k =109.6 \ miles

4 0
3 years ago
Write an expression with parenthesis to represent the quantity: 170 divided by the sum of 25 and 9
zavuch27 [327]
Using parenthesis, we want to add 25 and 9 first before dividing.

170/ (25+9)
3 0
3 years ago
In a police chase on the interstate, the suspect’s car reached a speed of 88 miles per hour for a total 15 minutes. In that time
Klio2033 [76]

Answer:

22 miles

Step-by-step explanation:

time must be in hours, hence

15 minutes = \frac{15}{60} = \frac{1}{4} hour

distance = 88 × \frac{1}{4} = \frac{88}{4} = 22 miles


8 0
3 years ago
Read 2 more answers
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