MATHEMATICS COLLEGE

If f(x) = x2 – 7x - 13 ; find the following.
find f(10)

Answers

Answer 1
Answer: F(x) = y
10= x2 - 7x -13
10= -5x -13
-10 -10
5x = -23


Answer is X = -23/5 or -4.6



Answer 2
Answer:

Final answer:

To find f(10) for the function f(x) = x² - 7x - 13, you replace x with 10. The result is 17.

Explanation:

The function provided is f(x) = x² - 7x - 13. To find f (10), you would need to substitute x in the function with 10. Therefore, f (10) = 10² - 7*10 - 13 which equals 100 - 70 - 13 = 17.

Learn more about Function substitution here:

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A die is loaded in such a way that the probability of each face turning up is proportional to the number of dots on that face. (For example, a six is three times as probable as a two.) What is the probability of getting an even number in one throw?

Answers

Answer:

simple, divide the number by two, round as needed. 6=3x as normal, 5=2.5x as nromal, etc.

Step-by-step explanation:

Please solve the following problem 194=27-x

Answers

Answer:

hello! :)

-167

Answer: 167

Step-by-step explanation:

First get X by itself.

substract 27 to each side

194=27-x

194= 27 -27 -x

194 - 27 = X

X= 167

the area of the triangle is 2/5 square foot the height is 6/5 ft. what is the length in feet of the base of the triangle?

Answers

\bf \textit{area of a triangle}\n\nA=\cfrac{1}{2}bh~~\begin{cases}A=(2)/(5)\n\nh=(6)/(5)\end{cases}\implies \cfrac{2}{5}=\cfrac{1}{2}\left( b\cdot \cfrac{6}{5} \right)\implies \cfrac{2}{5}=\cfrac{6b}{10}\n\n\n\cfrac{20}{5}=6b\implies \cfrac{20}{30}=b\implies \cfrac{2}{3}=b

Let Z={a,c,{a,b}}. What is |Z|?What is the power set of Z?

Which of the following are true?

1. {a,c} ⊆ Z

2. a ∈ Z

3. {c} ⊆ Z

4. {c} ∈ Z

5. b ∈ Z

6. {a,b} ∈ Z

Answers

Z=\{a,c,\{a,b\}\}

\boxed{|Z|=3} (treat \{a,b\} as one element of Z)

The power set of Z is

\boxed{2^Z=\bigg\{\{\},\{a\},\{c\},\big\{\{a,b\}\big\},\{a,c\},\big\{a,\{a,b\}\big\},\big\{c,\{a,b\}\big\},\big\{a,c,\{a,b\}\big\}\bigg\}}

1. \{a,c\}\subseteq Z is true because both a\in Z and c\in Z.

2. a\in Z is true.

3. \{c\}\subseteq Z is true (same reason as part 1).

4. \{c\}\in Z is false because Z does not contain the set \{c\}, rather just the element c itself.

5. b\in Z is false because the element b on its own simply is not in Z. That b\in\{a,b\} does not mean b\in Z, but that b belongs to a subset of Z.

6. \{a,b\}\in Z is true.

Rita's graduation picnic will cost $3 for every attendee. At most how many attendees can there be if Rita only budgets a total of $87 dollars for her graduation picnic?

Answers

To figure out how many attendees Rita can have at her picnic, we must divide the total amount that she has in her budget for her graduation picnic ($87) by the cost for every attendee ($3).

$87/$3 = 29

Therefore, Rita can have at most 29 attendees if Rita has the above cost parameters.

Hope this helps!

Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. If required, enter negative values as negative numbers.
Line Speed Devective number
20 23
20 21
30 19
30 16
40 15
40 17
50 14
50 11

a. Select a scatter diagram with the line speed as the independent variable.b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?

Answers

Answer:

Here's what I get  

Step-by-step explanation:

(a) Scatter diagram

The scatter diagram is the figure below.

(b) Interpretation

The scatter diagram shows there is a linear relationship between the variables.

The defective number decreases as the line speed increases.

The inspectors miss more faulty parts when the line speed increases, so they report fewer of them.
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