Let f(x)= x^3 −6x^2+11x−5 and g(x)=4x^3−8x^2−x+12. Find (f−g)(x). Then evaluate the difference when x=−3 x=−3 .

Answers

Answer 1

Answer: (f-g)(x)= -138

Step-by-step explanation:


Related Questions

Help needed ASAP please !!!!

Answers

Answer:I believe that it is A but i am not fully sure

Step-by-step explanation:

Solve the linear equality 4x-7 <5

Answers

Answer:

X<3

Step-by-step explanation:

4x-7 <5

4x < 5+7

4x < 12

X < 12/4

X < 3

Hope this helps..

Good Luck!

A large department store is curious about what sections of the store make the most sales. The manager has data from ten years prior that show 30% of sales come from Clothing, 25% Home Appliances, 18% Housewares, 13% Cosmetics, 12% Jewelry, and 2% Other. In a random sample of 550 current sales, 188 came from Clothing, 153 Home Appliances, 83 Housewares, 54 Cosmetics, 61 Jewelry, and 11 Other. At α=0.10, can the manager conclude that the distribution of sales among the departments has changed? Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.

Answers

Based on the information given, the null hypothesis will be that there's no difference in the distribution of current sales.

The alternate hypothesis will be that's there's a difference in the distribution of current sales.

Also, it should be noted that the test statistic is 23.0951. The p-value is 0.00003 and the conclusion is that the distribution of sales among the departments has changed.

Learn more about null hypothesis on:

https://brainly.com/question/15980493

The null hypothesis would be that there is no difference in the prevalence of current sales based on the information provided. This alternative hypothesis says there was variance in the distribution of current sales.

It is also worth noting that the test statistic is 23.0951. The p-value is 0.00003, as well as the inference, is that the sales distribution across divisions has altered.

Learn more:

brainly.com/question/14578907

Please answer this correctly

Answers

Answer:

9 bags

Step-by-step explanation:

130, 134, 136, 145, 145, 147, 147, 151, 154

9 bags had at least 130 peanuts.

5. A worker can do a piece of
piece of wook
in 14 days.
How much coook does he do ini day!
. How much work does he do in 7 days?
lijIt he works for 2 days and leaves,
how much work is left to finish it?

Answers

Answer:

therefore the left work of worker will be 6/7 part of work

I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!

Answers

Answer:

[tex]g(2) = 4(2) + 6 = 14[/tex]

[tex]f(2) = 2(2) + 3 = 7[/tex]

[tex](g - f)(2) = 14 - 7 = 7[/tex]

problem decoded dude

thank and follow meh

Solve x^2 + 4x + 8 = 0

Answers

Answer:

x = -2 + 2 i or x = -2 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 4 x + 8 = 0

Subtract 8 from both sides:

x^2 + 4 x = -8

Add 4 to both sides:

x^2 + 4 x + 4 = -4

Write the left hand side as a square:

(x + 2)^2 = -4

Take the square root of both sides:

x + 2 = 2 i or x + 2 = -2 i

Subtract 2 from both sides:

x = -2 + 2 i or x + 2 = -2 i

Subtract 2 from both sides:

Answer:  x = -2 + 2 i or x = -2 - 2 i

26
Ping lives at the corner of 3rd Street and 6th Avenue. Ari
lives at the corner of 21st Street and 18th Avenue. There is
a gym į the distance from Ping's home to Ari's home.
24
22
20
n
Ari (21.18)
7
x =
18
(x2 – x) + x3
mi+n
16
Avenue
14
-- ( , Jive - y) +
12
10
Where is the gym?
00
6
Ping (36)
4
2
9th Street and 10th Avenue
12th Street and 12th Avenue
0 14th Street and 12th Avenue
15th Street and 14th Avenue
2
x
4 6 8 10 12 14 16 18 20 22 24 26
Street

Answers

Corrected Question

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym 2/3 the distance from Ping's home to Ari's home.  Where is the gym?

9th Street and 10th Avenue 12th Street and 12th Avenue 14th Street and 12th Avenue 15th Street and 14th Avenue

Answer:

(D)15th Street and 14th Avenue

Step-by-step explanation:

Ping's Location: (3rd Street, 6th Avenue)

Ari's Location: (21st Street, 18th Avenue)

The gym is at point P which is [tex]\dfrac{2}{3}[/tex] the distance from Ping's home to Ari's home.

That is, Point P divides the line segment in the ratio 2:1.

We use the section formula:

[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]

m:n=2:1, [tex](x_1,y_1)=(3,6), (x_2,y_2)=(21,18)[/tex]

[tex]=\left(\dfrac{2*21+1*2}{2+1}, \dfrac{2*18+1*6}{2+1}\right)\\=\left(\dfrac{45}{3}, \dfrac{42}{3}\right)\\=(15,14)[/tex]

The gym is located at 15th Street and 14th Avenue.

The population of a city has increased by 35% since it was last measured. If the current population is 29,700 , what was the previous population?

Answers

Answer:

19305

Step-by-step explanation:

We simply take the percentage of 29700 to find how many people were added.

29700(0.35) = 10395 <== so 10395 people have been added

Subtract it from the current:

28700 - 10395 = 19305 people before.

A group of 8 students paid $48.24 for food at a picnic whats each persons share

Answers

Answer:

Each persons share is 6.03

Step-by-step explanation:

Divide the total cost by the number of students

48.24 / 8

6.03

Each persons share is 6.03

Answer:

$6.03

Step-by-step explanation:

A group of 8 students paid $48.24 for food.

Each of their shares would be divided among the 8 students.

48.24/8=6.03

Each student paid a share of $6.03.

Levi would like to use a credit card to make a $3000 purchase. He is considering two credit options. The first requires
a down payment of $1000 followed by monthly payments of $125. The second requires a down payment of $1300
followed by monthly payments of $110. The two options accumulate the same amount of interest and require the
same number of monthly payments.
What is the amount of interest for this loan?

Answers

Answer:

The amount of interest for this loan is 16.6%.

Step-by-step explanation:

Since Levi will make a purchase for $ 3000 with your credit card, you should explore the two options you have:

-On the one hand, a down payment of $ 1000, with fees of $ 125.

-on the other, a down payment of $ 1,300, with fees of $ 110.

In both cases, the fees are the same, and the interest too. Therefore, to determine the amount of installments and interest, the difference between the down payment of one option and the other must be taken and divided by the difference between the value of the installments of either option.

Thus, the difference of the down payment of 300 (1300 - 1000) must be divided by 15 (125 - 110). This yields a result of 20 (300/15), with which that will be the total of quotas until both have paid the same amount of money.

Thus, given that 1300 + 110 x 20 = 3,500, and that 1000 + 125 x 20 = 3,500, in both cases the total value to be paid is $ 3,500. Since 500 is 16.6% of 3000, the total purchase interest will be 16.6%.

Tell whether the following set is an empty set or not? A = { A quadrilateral having 3 obtuse angles}

Answers

Answer:

No.

Step-by-step explanation:

A quadrilateral with 3 obtuse angles is possible. You could have 100°+100°+100°+60° quadrilateral or whatever. As long as it's inner angles add up to 360°, it is possible.

Answer:

[tex]\boxed{\mathrm{It \: is \: not \: an \: empty \: set}}[/tex]

Step-by-step explanation:

A quadrilateral with 3 obtuse angles is possible.

A obtuse angle has a measure of more than 90 degrees and less than 180 degrees.

Let’s say three angles are measuring 91 degrees in a quadrilateral.

91 + 91 + 91 + x = 360

x = 87

The measure of the fourth angle is 87 degrees which is less than 360 degrees and is a positive integer, so it is possible.

standard form of line that passes thru (-3,5) and (-2,-6)

Answers

Answer:

11x + y = -28

Step-by-step explanation:

Step 1: Find slope

(6-5)/(-2--3) = -11

Step 2: Find y-intercept

y = -11x + b

5 = -11(-3) + b

5 = 33 + b

b = -28

Step 3: Write in slope-intercept form

y = -11x - 28

Step 4: Convert to standard form

11x + y = 28

And we have our final answer!

Mighty Casey hits two baseballs out of the park. The path of the first baseball can be described by the displacement (distance and direction) vector,

b1 = 100 i ^ + 10 j ^. The path of the second baseball can be described by the displacement vector b2 = 90 i ^ + (−20) j ^.

(a) How much farther did the first ball travel than the second? (Round your final answer to the nearest tenth.)

(b) How far are the baseballs apart? (Round your final answer to the nearest tenth.)

Answers

Answer:

a) 8.3 units of length

b) 31.6 units of length

Step-by-step explanation:

a) The distances traveled by each ball are given by:

[tex]d_1^2=100^2+10^2=10,100\\d_1=100.5\\\\d_2^2=90^2+(-20^2)=8,500\\d_2=92.2[/tex]

The diference between the distance traveled by both balls is:

[tex]d_1-d-2=100.5-92.2\\d_1-d_2=8.3[/tex]

The first ball traveled 8.3 units of length farther than the second ball.

b) The distance between both balls is:

[tex]d^2=(i_1-i_2)^2+(j_1-j_2)^2\\d^2=(100-90)^2+(10-(-20))^2\\d^2=1,000\\d=31.6[/tex]

The balls are 31.6 units of length apart.

Not sure how to answer question 4

Answers

Answer:

Option D is correct

Step-by-step explanation:

Applying the cosine theorem for triangle ABC, you would have:

cos (angle BAC) = (BA^2 + CA^2 - BC^2)/(2*BA*CA)

                           = (10^2 + 18^2 - 20^2)/(2*10*18)

                           = 24/360

=> angle BAC = ~86 deg

Hope this helps!

D = 86
Because its the nearest degree to 90 as you see < BAC seems to be 90

match the term with the definition​

Answers

Answer:

1 - c

2 - a

3 - e

4 - d

5 - b

Answer:  c, a, e, d, b

Step-by-step explanation:

1. Angle: (c) A figure consisting of two rays with the same endpoint.

2. Circle: (a) The set of all points in a plane that are a given distance from a point. That distance is called the radius.

3. Point: (e) A location, has no size.

4. Ray: (d) The portion of a line that starts at one point and goes off to infinity.

5. Vertex: (b) A point where two or more rays or "arms" of an angle meet.

Express the number using scientific notation: 0.000000067
Select one:
O a. 67 x 10-7
O b. 6.7 x 10-7
O c. can not be written in scientific form
O d. 6.7 x 10 -8

Answers

Answer: D

Step-by-step explanation:

To express this number in scientific notation, we want to move the decimal so that it goes past the first nonzero integer. In this case, we would move it to the right 8 times.

6.7×10⁻⁸

The only reason why the 8 is negative is because when you write the scientific notation in standard form, you will need to move the decimal to the left in order to get 0.000000067. Negative means moving to the left. Therefore, 6.7×10⁻⁸ is our correct answer.

Which is the cosine ratio of

Answers

Answer:The answer is B

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Cos A = [tex]\frac{Adjacent}{Hypotenuse}[/tex]

Where Adjacent = 28, Hypotenuse = 197

Cos A = [tex]\frac{28}{197}[/tex]

Jiangsu divided 751.6 by 10 by the power of 2 and got a quotient of 0.7516. yesseinafhinks that the quotient should be7.516. Who is correct?

Answers

Answer:

yesseinafhinks

Step-by-step explanation:

Dividing by 10² is also the same thing as multiplying by 10^-2. In that case, we simply move the decimal places only 2 places back. That would give us 7.516, not 0.7516 (which is 3 times, not 2).

9+9+3=21
1234+1234+1234= 30
9+1224+12=?

Answers

Answer:

9+1224+12=1245

Hope this helps

Answer:

Mathematically,

9+1224+12 = 1245

But, Logically, here:

9+1224+12 = 21

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α. n = 12, α = 0.01

Answers

Answer:

[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]

And is distributed with n-2 degreed of freedom. df=n-2=12-2=10

The significance level is [tex]\alpha=0.01[/tex] and [tex]\alpha/2 = 0.005[/tex] and for this case we can find the critical values and we got:

[tex] t_{\alpha/2}= \pm  3.169[/tex]

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: [tex]\rho =0[/tex]

Alternative hypothesis: [tex]\rho \neq 0[/tex]

The statistic to check the hypothesis is given by:

[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]

And is distributed with n-2 degreed of freedom. df=n-2=12-2=10

The significance level is [tex]\alpha=0.01[/tex] and [tex]\alpha/2 = 0.005[/tex] and for this case we can find the critical values and we got:

[tex] t_{\alpha/2}= \pm  3.169[/tex]

Any help would be appreciated

Answers

5/8- I think that is the right answer

"Find the surface area of the following shapes. Round to the nearest tenth if necessary." Is this correct? (Bold Mikado is my work.)

Answers

Answer:

360 cm^2

Step-by-step explanation:

First find the area of the bottom

10*10 = 100

The find the area of one of the triangular shapes

A = 1/2 bh since it is a triangle

A = 1/2 ( 10)*13 = 65

Since there are 4 triangles ( 1 for each side), multiply by 4

4*65 = 260

Add the areas together

260+100 = 360

6• 2hen+3pens-5anchors

Answers

Answer:

[tex]180[/tex]

Step-by-step explanation:

[tex]6 \times 2 \times 3 \times 5[/tex]

[tex]12 \times 15[/tex]

[tex]=180[/tex]

Steps to solve:

6 * 2 + 3 - 5

~Multiply

12 + 3 - 5

~Add

15 - 5

~Subtract

10

Best of Luck!

I would really appreciate it if you could help me please

Answers

Answer:

Yes, triangle GYK is similar to triangle BAK.

Step-by-step explanation:

The sides of each triangle are proportional to each other.

Take the longest side of each triangle. You are comparing line AK with line KY.

The proportion is 15/25.

Now, take the shortest side of each triangle. You are comparing line KB with GK.

The proportion is 6/10.

To determine if the triangles are proportional, we can see if the two proportions are equal to each other:

15/20=6/10

3/5=6/10

Correct! 3/5 equals to 6/10. Therefore, the two triangles are similar because their sides are proportional.

Hope this helps :)

Answer:

O  Yes!

Step-by-step explanation:

We would check whether the proportionality of their sides is equal

Taking proportionality

= [tex]\frac{6}{10} = \frac{15}{25}[/tex]

Cross Multiplying

6 × 25 = 15 × 10

150 = 150

So, ΔABK is similar to ΔGKY

A lottery is conducted using three urns. Each urn contains chips numbered from 0 to 9. One chip is selected at random from each urn. The total number of sample points in the sample space is:_______ a) 30 b) 100 c) 729 d) 1,000"

Answers

Answer: Option d.

Step-by-step explanation:

Ok, we have 3 urns.

Each urn can give a number between 0 and 9, so each urn has 10 options.

And as the urns are different, the outcome in the first urn does not affect the outcomes in the others, and the same happens for the outcome in the second urn, so the events are independent.

The total number of combinations is equal to the product of the number of options for each event (here each urn is one event)

then the number of combinations is:

C = 10*10*10 = 10^3 = 1000

Then the correct option is d.

Please answer this correctly

Answers

Answer:

sorry about that that was my sister . the correct answer is yes

Step-by-step explanation:

please mark as brainliest

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

A = 45 units^2

Step-by-step explanation:

This is a trapezoid

A = 1/2 (b1+b2) h

b1 is the top = 7

b2 is the bottom = 11

h = 5

A = 1/2 ( 7+11) *5

A = 1/2 ( 18)*5

A = 45 units^2

Do all systems of linear inequalities have solutions? If not, write a system of inequalities that has no solution. What would the graph of a system of linear inequalities with no solution look like?

Answers

Answer: There are systems with no solutions, and the graphs may show two regions with no intersections (as you know, the solution set is in the intersection of the sets of solutions for each inequality)

Step-by-step explanation:

Ok, suppose that our system is:

y > x

and

y < x.

This system obviously does not have any solution, because y can not be larger and smaller than x at the same time.

The graph of y > x is where we shade all the region above the line y = x (the line is not included)

and the graph of y < x is where we sade all the region under the line y = x (the line is not included)

So we will look at a graph where we never have a region with the two shades overlapping (so we do not have a intersection in the sets of solutions), meaning that we have no solutions.

The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices. The Wilson family also orders several large pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices. Which statements best describe the pizzas bought by the Hernandez and Wilson families? Select two options. For the Hernandez family, the equation y = 3x represents the relationship between the number of slices and number of pizzas, where x represents the number of pizzas and y represents the number of total slices. For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line. The Hernandez family’s slices are smaller than the Wilson family’s slices. If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices. The constant of proportionality is 10 for the Wilson family, but cannot be determined for the Hernandez family.

Answers

Answer:

B and D

Step-by-step explanation:

edge 2021

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