Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)? graph of function f of x equals negative 11 by 3 multiplied by x plus 11 by 3 and graph of function g of x equals x cubed plus 2 multiplied by x squared minus x minus 2 One Two Three Four

QUESTION POSTED AT 18/01/2020 - 07:23 AM

Answered by admin AT 18/01/2020 - 07:23 AM

Answer:

The total number of solutions is one

Step-by-step explanation:

we have

f(x)=-\frac{11}{3}x+ \frac{11}{3}

g(x)=x^{3}+2x^{2}-x-2

To solve the system of equations equate f(x) and g(x)

f(x)=g(x)

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solution of x

x=1

There is only one point of intersection both graphs

therefore

The total number of solutions is one


Post your answer

Related questions

Explain why the graphing calculator cannot be used to solve or approximate solutions to all polynomial equations.

Did your explanation include the following?

Some polynomial equations have complex solutions.

Therefore, complex solutions cannot be found by graphing the related system or function in the Cartesian (x-y) plane.

Polynomial functions with all complex solutions do not have x-intercepts, and the related system of equations will not intersect.

ANSWERED AT 20/02/2020 - 11:21 PM


QUESTION POSTED AT 20/02/2020 - 11:21 PM

Tony misplaced 7 77 stamps from his collection. He knows that each stamp of his is worth $ 0 . 1 5 $0.15dollar sign, 0, point, 15 and that the total value of them is now only $ 5 . 5 5 $5.55dollar sign, 5, point, 55.

I take it that only 7 stamps are misplaced and that we are asked for the total value of the stamps including those which have been misplaced. 
If each is worth $0.15 then, the total worth of 7 stamps is $1.05. Then, we add this value to the value of his remaining stamps, $5.55, the answer would be $6.60. 

ANSWERED AT 20/02/2020 - 11:20 PM


QUESTION POSTED AT 20/02/2020 - 11:20 PM

What are the x-intercepts of the quadratic function? y = x² + x – 2 1 2 and 1 2 and –1 –2 and 1

Your answer should be the last one, -2 and 1. Hope this helps!

ANSWERED AT 20/02/2020 - 11:20 PM


QUESTION POSTED AT 20/02/2020 - 11:20 PM

In simplest form, which mixed number is equivalent to 22\8

2 3/4

Because 8 goes into 22 2 times with a remainder of 6. That gives you 2 6/8

6/8 can be reduced to 3/4

ANSWERED AT 20/02/2020 - 11:19 PM


QUESTION POSTED AT 20/02/2020 - 11:19 PM

In the form f(x)=a(x-h)^2+k

Vertex is (h,k)
se see vertex is (1,-4)
y=a(x-1)^2-4
find a
another point is (4,-2)

-2=a(4-1)^2-4
-2=a(3)^2-4
-2=9a-4
add 4
2=9a
divide b 9
2/9=a


f(x)= \frac{2}{9}(x-1)^2-4

ANSWERED AT 20/02/2020 - 11:14 PM


QUESTION POSTED AT 20/02/2020 - 11:14 PM

Evaluate 2.34 x 10 cubed

2.34 x 10 cubed
2.34 x 1000
2,340

ANSWERED AT 20/02/2020 - 11:13 PM


QUESTION POSTED AT 20/02/2020 - 11:13 PM

Charles has 24 marble. he has 6 more yellow marbles than blue marbles. what is the equation

Answer:

Required Equations are x + y = 24 & x - y = 6

Step-by-step explanation:

let x be the no of yellow marbles that Charles has.

and y be the no of blue marbles that Charles has.

Total Marbles that Charles has = 24

⇒ x + y = 24 ..............(1)

Charles has 6 more yellow marbles than blue marbles.

⇒ x = y + 6

    x - y = 6 ......................(2)

Therefore, Required Equations are x + y = 24 & x - y = 6

ANSWERED AT 20/02/2020 - 11:12 PM


QUESTION POSTED AT 20/02/2020 - 11:12 PM

What is 8 less than the product of 13 times a number x is less than or equal to -32?

8 less tha means 8 mins
product of 13 an a number x is 13x

less than or equal to -32


-8+13x≤-32
add 8 to both sides
13x≤-24
divide both sides by 13
x≤-24/13

ANSWERED AT 20/02/2020 - 11:09 PM


QUESTION POSTED AT 20/02/2020 - 11:09 PM

What is 31/2 as a mixed number?

15 and 1/2
because 2 goes into 30 15 times and you are left over with 1/2.

ANSWERED AT 20/02/2020 - 11:09 PM


QUESTION POSTED AT 20/02/2020 - 11:09 PM

Jack is buying tables and chairs for his deck party tables cost $25 and chair cost $15 he plans to spend no more than $285 and buy at least 16 items show and describe the solution set nad suggest a reasonable solution solution to the problem?

By the given scenario above, we can formulate two inequalities that best represent the scenario. We let x and y be the number of tables and chairs, respectively such that,
                                 25x + 15y ≤ 285
                                  x + y ≥ 16
The values of x and y if we temporarily change all the inequality signs to equal signs are 4.5 and 11.5, respectively. Since, it is not allowed for a number of item to be in negative, we can then say that the number of tables should be 4 and that of chair is 12. 

ANSWERED AT 20/02/2020 - 11:09 PM


QUESTION POSTED AT 20/02/2020 - 11:09 PM

What is 1/2 divided by 3/2 equals out to be in fraction form?

When dividing fractions you have to place the fraction being divided on top of the fraction being used to divide it. So you would have 1/2 / 3/2. Then you multiply the top and bottom numbers to get the new numerator and subsequently the middle two numbers to get the denominator.
= 2/6 = 0.333

ANSWERED AT 20/02/2020 - 11:08 PM


QUESTION POSTED AT 20/02/2020 - 11:08 PM

What improper fraction can be written as a whole number. 10/6 12\6 14\6 16\6?

12/6 can be written as 2 because 6 can go into 12 two times.

ANSWERED AT 20/02/2020 - 11:07 PM


QUESTION POSTED AT 20/02/2020 - 11:07 PM

Ill give a tip please explain the steps Use this table as a reference for your interest rate percentages. Secured Unsecured Credit APR (%) APR (%) Excellent 4.80 5.25 Good 5.15 5.65 Average 5.85 6.20 Fair 7.00 7.65 Poor 8.20 9.15 8. You (or your parents) purchase a new car for $19,725.00 plus 4.75% sales tax. The down payment is $2,175.00 and you (or your parents) have an average credit rating. How much interest is accrued after the first month? (2 points) 9. You (or your parents) purchase a used car for $15,867.00 plus 5.25% sales tax. The down payment is 10% of the total cost and you (or your parents) have an excellent credit rating. What is your principal balance at the start of the loan? (2 points) 10. You (or your parents) are debating about whether to buy a new car for $19,072.00 or a used car for $15,635.00. Sales tax is 4.5%. You (or your parents) plan to make a down payment of $1,200.00 and your credit rating is fair. What is the difference in interest accrued by the end of the first month? (

Divide the APR by 360 days and multiply it by 30 days to get the monthly interest. Each loan is usually secured by the car you bought. So we will use the secured APR.

8. Average rating secured apr: 5.85% divide by 360 multiply by 30:  0.4875% monthly rate
Cost of car: 19,725 ; sales tax: 4.75% ; down payment: 2,175

19,725 x 1.0475 =  20,661.94 - 2,175 = 18,486.94 loan amount
18,486.94 x 0.4875% = 90.12 accrued interest for the 1st month.

9. Excellent rating secured apr: 4.80% divide by 360 multiply by 30: 0.40% monthly rate
Cost of car: 15,867 ; sales tax: 5.25% ; down payment: 10% of total cost

15,867 x 1.0525 =  16,700.02 x 90% = 15,030.02 the principal balance at the start of the loan.

10. Fair rating secured apr: 7% divide by 360 multiply by 30: 0.5833% monthly rate
Cost of new car: 19,072 ; sales tax: 4.5% ; down payment: 1,200
Cost of used car: 15,365; sales tax: 4.5% ; down payment: 1,200

19,072 x 1.045 = 19,930.24 - 1,200 = 18,730.24
18,730.24 x 0.5833% = 109.25 accrued interest

15,365 x 1.045 = 16,056.43 - 1,200 = 14,856.43
14,856.43 x 0.5833% = 86.66 accrued interest

109.25 - 86.66 = 22.59 is the difference in interest accrued by the end of the first month.

ANSWERED AT 20/02/2020 - 11:06 PM


QUESTION POSTED AT 20/02/2020 - 11:06 PM

HURRY I'LL PICK A BRAINLIEST!!! Solve the equation for a. K = 4a + 9ab A. a = K(4 + 9b) B. a = 4(K + 9b) C. a = 4+9b/K D. a = K/4+9b

Answer:

Step-by-step explanation:

A

ANSWERED AT 20/02/2020 - 11:06 PM


QUESTION POSTED AT 20/02/2020 - 11:06 PM

Nine less than twice a number is thirty one

Answer:

\boxed{x=20}

Step-by-step explanation:

Less than- you had to subtract by the minus sign.

First you had to translate words into an equation.

2x-9=31

Then you solve by equation and add by nine from both sides of equation form.

2x-9+9=31+9

2x=40

Next, you divide by two from both sides of equation form.

\frac{2x}{2}= \frac{40}{2}

40/2=20

40/20=2

2*20=40

20*2=40

x=20

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

ANSWERED AT 20/02/2020 - 11:03 PM


QUESTION POSTED AT 20/02/2020 - 11:03 PM

Solve each system of equations by substitution Y=50x+4. Y-32x=40

Y=4+50x

Y=40+32x

Those are your answers

ANSWERED AT 20/02/2020 - 11:02 PM


QUESTION POSTED AT 20/02/2020 - 11:02 PM

Jen and sarah go to lunch at the green grill their meals total $28 for taxes 6% what is the total cost including tax

You have to add 6% to the original price, so calculate 6% of 28$:
28 x 6/100 or 28 x 0.06
= 1.68
And add that to the original paid
1.68 + 28 = $29.68

ANSWERED AT 20/02/2020 - 11:02 PM


QUESTION POSTED AT 20/02/2020 - 11:02 PM

Is i5.71 a whole number

Answer: no its not it would be a decimal

Step-by-step explanation:

i just took the test!

ANSWERED AT 20/02/2020 - 11:02 PM


QUESTION POSTED AT 20/02/2020 - 11:02 PM

24 is 75% of what number?

24 is 75% of 32 because you can use the formula: part/ whole= percentage/100

ANSWERED AT 20/02/2020 - 11:00 PM


QUESTION POSTED AT 20/02/2020 - 11:00 PM

Would it make sense to add more points to the graph from x=0 to x=10? Would it make sense to connect the points with a line? Explain.

It would make sense to add more points to the graph from x=0 to x=10 to see the points accurately. It would also make sense to connect the points with a line to see where the line goes.

ANSWERED AT 20/02/2020 - 11:00 PM


QUESTION POSTED AT 20/02/2020 - 11:00 PM

Which of the following equations describe the line shown below? Check all that apply.

Here, slope (m) = y2 - y1 / x2 - x1
m = 6-4 / 12-4
m = 2 / 8
m = 1/4

Equation, y - y1 = m(x - x1)
y - 4 = 1/4 (x - 4)
Also, y - 6 = 1/4 (x - 12)

In short, Your Answers would be Option A & F

Hope this helps!

ANSWERED AT 20/02/2020 - 10:58 PM


QUESTION POSTED AT 20/02/2020 - 10:58 PM

175% of what number is 45?

175% of 25.71428571428571 is 45.

If you divide 45 by 175% you get your answer.

You can check this by multiplying 25.71428571428571 and 175%.

ANSWERED AT 20/02/2020 - 10:58 PM


QUESTION POSTED AT 20/02/2020 - 10:58 PM

Define equation. Give an example of two equivalent equations.

A statement that has mathematical expressions that are equal.
Examples:
2+1=3
11x4=44

ANSWERED AT 20/02/2020 - 10:58 PM


QUESTION POSTED AT 20/02/2020 - 10:58 PM

How to find the y-intercept and graph the equation y=4x + 3

The y intercept would be 3, from there go up 4 and right 1 .

ANSWERED AT 20/02/2020 - 10:57 PM


QUESTION POSTED AT 20/02/2020 - 10:57 PM

Which of the following equations describe the line shown below? Check all that apply.

Here, Slope (m) = y2 - y1 / x2 - x1
m = 10 - 2 / 1 - (-3)
m = 8 / 4
m = 2

y - 10 = 2 (x - 1)
Also, y - 2 = 2(x + 3)

In short, Your Answers would be A & B

Hope this helps!

ANSWERED AT 20/02/2020 - 10:57 PM


QUESTION POSTED AT 20/02/2020 - 10:57 PM

He has 14 rows with 8 one foot squares in each row. What is the area of his peach orchard?

Multiply 8x14. Start out by 8x4=32+10x8=80=112. The answer is 112

ANSWERED AT 20/02/2020 - 10:57 PM


QUESTION POSTED AT 20/02/2020 - 10:57 PM

Sketch a graph of f(x)= -2x+1

Here is what you can sketch

ANSWERED AT 20/02/2020 - 10:56 PM


QUESTION POSTED AT 20/02/2020 - 10:56 PM

Two friends cut a large candy bar into equal pieces. Harriet ate 1/4 of the pieces. Nisha ate 1/2 of hte remaining pieces. Six pieces were left over. How many piees was the candy bar originally divided into?

Harriet at 1/4 of all pieces
4/4-1/4=3/4

nisha ate 1/2 of remaining (3/4)
1/2 of 3/4=3/8 eaten

ok, so eaten=1/4+3/8=2/8+3/8=5/8 eaten
8/8-5/8=3/8 left
3/8=6 pices
1/8=2 pieces
8/8=16 pices


origainally divided into 16 pieces


ANSWERED AT 20/02/2020 - 10:56 PM


QUESTION POSTED AT 20/02/2020 - 10:56 PM