MATHEMATICS HIGH SCHOOL

Which of the following functions best represents the graph? A. f(x) = x3 + 2x2 − 4x − 8

B. f(x) = x3 + 4x2 − x − 4

C. f(x) = x3 + x2 − 9x − 9

D. f(x) = x3 + 3x2 − 3x − 9
Which of the following functions best represents the graph? A. - 1

Answers

Answer 1
Answer:

Answer:

Option: C is the correct answer.

f(x)=x^3+x^2-9x-9

Step-by-step explanation:

Clearly from the graph we could see that:

3 and -3 are zeros of the function f(x).

since the graph crosses these two points on the x-axis.

i.e. when x=3 or -3 ⇒ f(x)=0

Now when we put x=3 in each of the equation we see that:

A)

f(x)=x^3+2x^2-4x-8

when x=3

f(x)=3^3+2* 3^2-4* 3-8\n\nf(x)=27+18-12-8\n\nf(x)=25\neq0

Hence, option A is incorrect.

B)

f(x)=x^3+4x^2-x-4

when x=3

f(x)=27+36-3-4\n\nf(x)=56\neq0

Hence, option B is incorrect.

D)

f(x)=x^3+3x^2-3x-9

when x=3

f(x)=27+27-9-9\n\nf(x)=36\neq0

Hence, option D is incorrect.

Hence all the three options are discarded.

Hence, option C is the correct answer.

The function best represents the graph is:

f(x)=x^3+x^2-9x-9
Answer 2
Answer: Hello there!
the answer would be A 

Hope this helps! :)
~Zain

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Which expression is equivalent to (7x - 5 ) - ( 3x - 2)?
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13=-5/4a PLEASEE HELP ME WITH THIS

What is the slope of
18x-15y=20?

Answers

18x-15y-20=0
slope equals -18/-15 =6 over 5

Carlos went out to a restaurant for dinner. he tipped 25% of his bill, which brought the sum of the dinner bill plus the tip to $45. how much was the original bill?

Answers

45*0.75
the answer is $33.75

Sydney is going to an amusement park. The price of admission into the park is $30, and once she is inside the park, she will have to pay $5 for every ride she rides on. How much money would Sydney have to pay in total if she goes on 15 rides? How much would she have to pay if she goes on r � r rides?

Answers

Answer:

105

Step-by-step explanation:

15×5=75

75+30=105

the answer is 105

Answer:

105

Step-by-step explanation:

15x5=75

105

Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per week. This week, her goal is to make at least $75. A. Use a system of inequalities to model the scenario above. Let x represent babysitting hours and y represent tutoring hours.
B. Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week.
C. Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model.

Answers

For the answer to the question above, I would start with a simple equation 6x+10y is more than or equal to 75
A.
If we let x represent babysitting hours and y represent tutoring hours:
x+ y ≤ 20
6x + 10y ≥ 75

B. The inequality: x+ y ≤ 20 can be graphed by graphing the line x + y = 20 and shading the area below the line.
The inequality 6x + 10y ≥ 75 can be graphed by graphing the line 6x + 10y = 75 and shading the area above the line.

C. The area where the two shaded regions from the two inequalities overlap are the possible number of hours for tutoring and for babysitting. Algebraically:
x ≤ 20 - y
6(20 - y) +10y ≥ 75
y ≤ 11.25
x ≤ 8.75

Answer:

x+y≤20

6x+10y ≥ 75

Step-by-step explanation:

Let the number of hours of babysitting be x and that for tutoring be y

As per the given conditions

The total no of hours of work must be less than or equal to 20

Hence

x+y≤20

Also Her target is to earn atleast $75

Hence the second inequation will be

6x+10y≥75

Hence our system of inequatlites representing above conditions are

x+y≤20

6x+10y≥75

Now in order to graph them , we first graph the lines x+y=20 and 6x+10y=75 and shade the region which satisfies the respective inequality by taking a coordinate (0,0) .

Please refer to the graph attached with this.

The shaded region gives us the set of coordinates probably the solution to above inequations.

Let us pick one coordinate (10,5) from the shaded region and check for the solution.

put (10,5) in two inequations and see if they are true for them.

10+5≤20

15≤20 True

6(10)+10(5) ≥75

60+50≥75

110≥75 true

Hence checked , both stands true for (10,5)

What property is illustrated by each statement? 7+(4+4)=(7+4)+4A. Inverse property of addition B. Associative property of addition C. Commutative property of addition

Answers

B
This property dictates that you can add regardless of how the numbers are grouped.

Jermaine buys T-shirts for $6 each and marks up the price by 45%. How much profit does Jermaine make for each T-shirt sold?

Answers

Answer:

$2.70

Step-by-step explanation:

Cost price = $6

Mark up percentage = 45%

Mark up amount = 45% × $6

                           = 0.45 × $6

                           = $2.70

Selling price = Mark up + cost price

                     = $2.70 + $6

                     = $8.70

Jermaine sells the shirts for $8.70 and makes a profit of $2.70.

Answer:

$2.70

Step-by-step explanation:

6*45% =2.70
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