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2 years ago

Explain how to use a graph of the function f(x) to find f(3).

2 answers:

7 0

Usually there will be a line through the graph, labeling f(x) = ..... so plug in f(3) and follow the line on the x-axis to look for 3 then find y

ddd [48]2 years ago

6 0

Sample Response: For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.

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contractor wishes to build 9 houses, each different in design. In how many ways can he place these houses on a street if 6 lots

Tju [1.3M]

The houses can be placed in 362,880 ways.

Step-by-step explanation:

The 9 houses are each in different design.

The each lot can place any of the 9 houses.

The 1st lot can place anyone house of all the 9 houses.
The 2nd lot can place one of remaining 8 houses.
The 3rd lot can place one of remaining 7 houses.

Similarly, the process gets repeated until the last house is placed on a lot.

From the above steps, it can be determined that :

The number of ways to place the 9 houses in 9 lots = 9!

⇒ 9×8×7×6×5×4×3×2×1

⇒ 362880 ways.

Therefore, the houses can be placed in 362880 ways.

5 0

2 years ago

Which of the following statements is always true? a. Workers being paid on commission make less money than if they are salaried.

cricket20 [7]

Answer:

Step-by-step explanation:

The only answer that makes any sense is B. A commission works on the premise that the more you sell, the more money you take home.

Suppose a car salesman working at a GM dealership is working on a salary of 10% of the selling price. (A bit high).

Suppose on one month he sells 10 trucks, each one selling for 40000 dollars.

1 truck brings in 40000*10/100 = 4000 for the salesman.

10 trucks bring in 10*4000 = 40000 dollars.

The next month he only sells 8 Trucks. His commission is

40000 * 10/100 = 4000 per truck

8 trucks * 4000 = 32000 total for that month. A little less but it's quite a bit for a month's work all the same.

6 0

2 years ago

The picture below shows a right-triangle-shaped charging stand for a gaming system: The side face of a charging stand is a right

mamaluj [8]

Answer:

AB = 8/ cos 60

Step-by-step explanation:

We want to find the hypotenuse AB

Since we have a right triangle

cos theta = adj/ hyp

cos 60 = 8/ AB

AB cos 60 = 8

AB = 8/ cos 60

3 0

2 years ago

A student placement center has requests from five students for interviews regarding employment with a particular consulting firm

bagirrra123 [75]

Answer: a) 1 / 10

b) 3 / 10

c) 1 / 5

d) 3 / 5

Step-by-step explanation:

Total number of requests five students for interviews regarding employment with the consulting firm = 5

Number of students that are maths majors = 3

Probability of selecting a maths student is 3 / 5

Number of students that are statistics majors = 2

Probability of selecting a statistics student is 2 / 5

a) the probability that both selected students are statistics majors

= 2 / 5 × 1 / 4 = 2 / 20 = 1 / 10

b) the probability that both students are math majors

= 3 / 5 × 2 / 4 = 6 / 20 = 3 / 10

c) the probability that at least one of the students selected is a statistics major will be p( one statistics and the other, maths) + p( one maths and the other, statistic) - p( both are mathematics)

= (2 / 5 × 1 / 4 ) + ( 2 / 5 × 3 / 4 ) - (3 / 5 × 2 / 4)

= 2 / 10 + 6 / 20 - 6 / 20

= 1 / 5 + 3 / 10 - 3 / 10

= 1 / 5

d) the probability that the selected students have different majors is p(one is maths and the other is statistics) + p(one is statistics and the other is maths)

(3 / 5 × 2 / 4) + (2 /5 × 3 / 4)

= 6 / 20 + 6 / 20 = 12 / 20

= 3 / 5

3 0

2 years ago

G is the centroid of triangle ABC. What is the length of GF? ___ units

Ksenya-84 [330]

So the longer lines are 2x longer than the shorter lines
Look at line segment BD
40 is 2x as long as 9x+2
In order to make the equation true, multiple 9x+2 by 2
So, you should get:
40=18x+4
36=18x
x=2
Plug the 2 into 19X+14, and divide that answer by 2, because GF is 2x smaller than AG
19x+14
19(2)+14
52
52/2=26
Hope this helps!!

4 0

2 years ago

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