Find the difference of g(x) and j(x).
[tex] g(x) = {x}^{2} - 2x + 11[/tex]
[tex]j(x) = - {x}^{3} - {4x}^{2} + 5[/tex]

Answers

Answer 1
To find the answer, subtract j(x) from g(x):

g(x) - j(x)

Plug in the expressions that each function is equal to:

(x^2 - 2x + 11) - (-x^3 - 4x^2 + 5)

Distribute the negative, get rid of parentheses:

x^2 - 2x + 11 + x^3 + 4x^2 - 5

Combine like terms:

x^3 + 5x^2 - 2x + 6

Related Questions

This proof shows the first five steps for verifying cot^2 (x/2)= cos x+1/cos c-1 use the drop down boxes to complete the steps of the proof

Answers

Answer:

1. Tangent Half-angle identity

2. 1 + cos x

3. 1 - cos x

Step-by-step explanation:

Just answered the question on edge

The proof shows the first five steps for verifying cot^2 (x/2)= cos x+1/cos x-1 The drop-down box to complete the steps of the proof will be the taking square root of the fraction.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle and the trigonometric ratio are defined as the ratio of the pair of a right-angled triangle.

The first five steps for the following proof are,

Taking LHS

[tex]\rm = cot^2 \frac{x}{2}[/tex]

As we know,

cotx=1/tanx

[tex]\rm = \frac{1}{tan^2\frac{x}{2} } \\\\ = \frac{1}{\sqrt{(\frac{1-cosx}{1+cosx})^2 } } \\\\ =\frac{1}{\frac{1-cosx}{1+cosx} }[/tex]

As the left-hand side term is equal to the right-hand side term the proof and its steps are correct.

Thus, the proof shows the first five steps for verifying cot^2 (x/2)= cos x+1/cos x-1 The drop-down box to complete the steps of the proof will be the taking square root of the fraction.

Learn more about trigonometry here:

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Which set of numbers does NOT describe the side
lengths of a right triangle?
a. 3, 4, 5
b. 5, 12, 13
c. 6, 14, 17
d. 7, 24, 25
4

Answers

Answer:

The answer is C

Step-by-step explanation:

You have to do the Pythagorean Theorem.

A. you get 25=25

B. you get 169=169

C. you get 232=289

D. you get 625=625

Given a
6 and a common
difference of – 12, find the
18th term in the sequence.

Answers

Answer:-210

Step-by-step explanation:6, -6, -18, so, you multiply -12 by 18, and you can find that number. -12 times 18=-216, and -216+the first number 6, equals 210

Your brother received two job offers. One offers a regular wage, and the other offers hourly pay. Both are 40-hour-per-week jobs. The wage job includes two weeks of paid vacation, but the hourly job offers only unpaid vacation. The annual salary for the wage job is $35,000. The hourly job pays $17 per hour. Which job pays more?

Answers

Answer:

The job with the fixed wage is better and pays more.  

Step-by-step explanation:

The annual salary for the fixed wage job is $35,000 and the hourly job is $35,360 because 17x40(no of hours needed to work in a week) x52(no of weeks in a year)

The salary of 2 weeks on the hourly job is $1360 and the paid job offers paid vacation for 2 weeks so $35,360 - $1360 is $34,000 and that is $1000 less than the wage job.

What is the equation of the line that passes through the point (1, 7) and has a slope of 2/7?

Answers

Answer: y=2/7x+47/7

Step-by-step explanation:

You would use the equation y=mx+b to get the answer. You already know that x=1 and y=7 from the given point and they tell you the slope (m) is 2/7. All you have to do it substitute the values into the equation and solve for b. That would be 7=(2/7)(1)+b. Solving for b gives you 47/7. Therefore, the equation is y=2/7x+47/7. Hope this helps!

The graph shows the volume of water in a sink, x minutes after the faucet is turned on.

Answers

Answer:

Conner is correct.

Step-by-step explanation:

Answer:

Connor is correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is equal to 2 gallons per minute.

Step-by-step explanation:

What is 3 groups of 1/8

Answers

Answer:

3/8

Step-by-step explanation:

The 3 groups of 1/8 will be 3/8.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Given that: 3 groups of 1/8

Then the number 3 and 1/8 is multiplied. Then the expression will be

⇒ 3 × 1/8

⇒ 3 / 8

Then the 3 groups of 1/8 will be 3/8.

More about the Algebra link is given below.

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The sum of the ages of Rudy and his father is 58 years. The difference in their ages is 32 years. How old is each ?

Answers

Answer:

Rudy is 13 years old. Her father is 45 years old.

Step-by-step explanation:

It's very simple actually!

All you need to do is subtract 32:

58 - 32 = 26

Then divide:

26 ÷ 2 = 13

13 is Rudy's age. Let's find her father's age!

We then add 32 back to 13:

32 + 13 = 45

And there you have it!

Hope this helped!  :)

find f(-2) for f(x)=x^2+5

Answers

The answer is 9. f(-2) means that x is equal to -2.

Answer:

9

Step-by-step explanation:

f(-2)=-2² +5

f(-2) =4+5

f(-2) =9

(9x + 11) what’s the answer?

Answers

Answer:

70 is the answer

Step-by-step explanation:

Answer:  (9x + 11) = 70

Step-by-step explanation:

346772.99378 x 222222666886=

Answers

Answer:

7.706081948 lowecase10uppercase16

Step-by-step explanation:

I hope it helps u.

Given the formula y = mx + b, what is the slope of a line, m, if x = 5, y = 7, and b =10?
A. The slope 3/5 ·
B. The slope 5/3 ·
C. The slope - 3/5 ·
D. The slope - 5/3 ·

Answers

The answer is:
C. The slope -3/5
Because -3/5 times 5 is -3 and when you combine -3 and 10 the answer is 7 and 7=7 (the y)

Is this correct? (Geometry hw)

Answers

Answer:

yes

Step-by-step explanation:

Answer:

I'm pretty sure It's correct ☑ So yes

PLEASE HELP MEEEEEEEEEEEEEE

Answers

Answer:

y=7/9x-2

Step-by-step explanation:

This is the formula to follow when doing these equations

y=slopex (-/+) y-intercept

if it a negative it a - intercept if it a positive intercept if adding.

Lexi jarred 2.3 liters of jam after 2 days. How many days does Lexi need to spend making jam if she wants to jar 4.6 liters of jam in all?

Answers

Answer:

bruh 4 days duh

Step-by-step explanation:

PLEASE HELP RIGHT NOW :(

Answers

Answer: b, c, and e
Explanation: only those fit the requirements to be considered a mathematical sentence.

Chin bought 12 pounds of apples for $6. Use the ratio table to find the cost of buying 3 pounds of apples. *

Answers

Answer: The answer should be 1.5.

Step-by-step explanation:

$6 divided by 12 is .5... Multiply .5 by 3, seeing as 1 pound = $.5

Answer:

$.5

Step-by-step explanation:

hope this helps y'all

Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. Find your savings account balance on January 1 of the next year.
and
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. How much interest did you earn for these nine months?

Answers

Answer:

The interest earned in 9 months is $25.45284

Step-by-step explanation:

The interest rate given by the bank = 4%

The rate at which the interest is applied = Quarterly

The amount of money deposited = $840

The formula for compound interest is given as follows;

[tex]Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ][/tex]

Where;

P = The principal = $840

r = The rate = 4% = 0.04

n = The number of times the interest is compounded per period  = quarterly = 4

t = The time duration in period = 9 months = 3/4 × 1 year

Substituting the values gives the Compound interest C.I. as follows;

[tex]C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284[/tex]

The interest earned in 9 months = $25.45284.


How do I solve for c

Answers

Answer:

Uhhh add the top then divide by bottom

Step-by-step explanation:

Bc yes

Answer:

[tex] c = \dfrac{3e + 3d - 5D}{2b} [/tex]

Step-by-step explanation:

[tex] \dfrac{2bc + 5D}{3} = e + d [/tex]

Multiply both sides by 3.

[tex] 2bc + 5D = 3(e + d) [/tex]

[tex] 2bc + 5D = 3e + 3d [/tex]

Subtract 5D from both sides.

[tex] 2bc = 3e + 3d - 5D [/tex]

Divide both sides by 2b.

[tex] c = \dfrac{3e + 3d - 5D}{2b} [/tex]

Submission in an houuuur!!! Please send help and can I please have the explanation.

Answers

Answer:

It should 3/10

Step-by-step explanation:

A town is going to use its property tax records to pick
people to take part in a focus group on water treatment
in the city. Everyone who owns a house or apartment
in the town will be listed in the property tax records.
These focus groups have been very popular, and everyone
selected to take part in the focus group actually does
take part. The town's aim is that everyone who lives in
the town has a chance to take part in the focus group.
What problems, if any, do you see with this sampling
method?
A nonresponse
B. response bias
c. undercoverage
D. there are no problems with this sampling method

Answers

i believe B or C but that’s a straight guess. i would say B just because if you live like outside of town then ur screwed

What is the answer to this??? please I need to know!

Answers

Answer: I want to say the answer is B, hope this helps!

Step-by-step explanation:

A colloge student makes a minimum payment of 500 each year

Answers

Answer:

more info needed

Step-by-step explanation:

Answer:

fgkguhhhhhggddvjhgcdjbcjvgtujjjjjjj

Anyone know how to do this?

Answers

make the expressions equal to each other it is Equals 2

what is 55.01 rounded to the nearest whole number

Answers

Answer:

55

Step-by-step explanation:

I need help with these

Answers

Answer:

Step-by-step explanation:

5)               -7 (-15w + 21) + 3(18 - 27w)

Step 2:        105w - 81w - 147 + 54

6)      

step 3:       24w - 93

Please answer this is my second time posting this Will give brainiest for proper aNSWER AND EXPLANATION
Statement: "Two triangles with corresponding congruent angles are congruent." Is this statement true or false? *

Answers

Answer:

It is true

Step-by-step explanation:

Because If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent. (Side-Side-Side): If three pairs of sides of two triangles are equal in length, then the triangles are congruent. Please give brainliest❤️

Answer: Yes, it is true

Step-by-step explanation: Because If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.

Hope this helps!

If m = 3 and n = 2, then m 2 - n 2 is equal to _____. 2 5 1 13

Answers

Answer:

6-4=2

Step-by-step explanation:

3x2=6 2x2=4

Is equal to 2
3*2 - 2*2
6 - 4 = 2

Help me please asap!!

Answers

Answer:

67

Step-by-step explanation:

180 - (53 + 60) = 67

If the area of a trapezoid is 28 m with a height of 14 m in with one of the base being 1 m to find the length of the second face

Answers

The area of a trapezoid is basically the average width times the altitude, or as a formula:
Area = h ·

b 1 + b 2
2


where
b1, b2 are the lengths of each base
h is the altitude (height)
Recall that the bases are the two parallel sides of the trapezoid. The altitude (or height) of a trapezoid is the perpendicular distance between the two bases.

In the applet above, click on "freeze dimensions". As you drag any vertex, you will see that the trapezoid redraws itself keeping the height and bases constant. Notice how the area does not change in the displayed formula. The area depends only on the height and base lengths, so as you can see, there are many trapezoids with a given set of dimensions which all have the same area.
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