Perform the indicated operation: (x3 – 3x + 1) – (x3 + 7 – 12x).

Answers

Answer 1

Answer:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right)=9x - 6[/tex]

Step-by-step explanation:

[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right) = x^{3}-3x+1-x^{3}-7+12x[/tex]

                                                [tex]= -3x+1-7+12x[/tex]

                                                [tex]=9x - 6[/tex]


Related Questions

A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed in the recipe?​

Answers

Answer: 13 [tex]\frac{65}{72}[/tex]

Step-by-step explanation:

    This question is asking us to find the total flour used, so we will add the two amounts together.

5 1/8 + 8 7/9

-

5 + 8 = 13

1/8 + 7/9 = 9/72 + 56/72 = 65/72

-

13 + 65/72 = 13 [tex]\frac{65}{72}[/tex]

        The recipe calls for 13 [tex]\frac{65}{72}[/tex] cups of flour.


d. Henrietta Hardworker normally earns $8.50 per hour in a given 40-hour work-
week. If she works overtime, she earns time and a half pay per hour. During the
month of October, she worked 40 hours, 50 hours, 45 hours, and 42 hours for the
four weeks. How much did she earn fotal for October?

Answers

Answer:

1432.25

Step-by-step explanation:

8.50 x 40 = 340

340 x  4 = 1360

half of 8.50 is 4.25

4.25 x 10 = 42.5

4.25 x 5 = 21.25

4.25 x 2 = 8.5

add

1360 + 42.5 + 21.25 + 8.5  = 1432.25

i hope i did my math right, good luck mate

The difference between two positive integers is2. If the smaller is added to the square of the larger the sum is 40. Find the integers

Answers

Answer:

4 and 6

Step-by-step explanation:

first you must write your let statements

let x = smaller integer

let y = bigger integer

y - x = 2

x + y^2 = 40

then you use substition to find your anaswer

x = y - 2

y - 2 + y^2 = 40

y^2 + y - 42 = 0

then find the numbers that add up to 1 and multiply to -42

-6 and 7

y^2 + 7y - 6y - 42

y(y + 7) - 6(y + 7)

(y - 6)(y + 7)

set both sides equal to 0

y = 6, -7

y must be positive so it is 6

then plug y into one of the equations to get your answer

6 - x = 2

x = 4

your answer is 4 and 6

In the scale drawing below

Answers

Answer:

47.5m

Step-by-step explanation:

convert cm to metres 1.9cm×5=9.5m

Then times the side lengths with the amount of sides 9.5m×5=47.5m

i need help with this

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

In the given figure, Angle y is equal to Angle adjacent to 52° and 90° by Vertical opposite angle pair

And since they for straight line, their Angle sum will be equal to 180°

that is :

[tex]\qquad \tt \dashrightarrow \:y + 52 + 90 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:y + 142 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:y = 180 - 142[/tex]

[tex]\qquad \tt \dashrightarrow \:y =38 \degree[/tex]

Answer:

y = 38°

Step-by-step explanation:

We know that the angles in a straight line are added up to 180°.

So,

90 + y + 52 = 180

142 + y = 180

y  = 180 - 142

y =  38°

Help picture below problem 16

Answers

Answer:

c²=a²+b². 13²=12²+b² 169=144+b². b² =√25=5

Step-by-step explanation:

13² = ?² + 12²

169 - 144 = ?²

√25 = ?

5 yards = ?

what is derivative of f=x^3 + x^2

Answers

Answer:

3x^2-2x

Step-by-step explanation:

I need some help on these 3 questions :)

Answers

The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions

How to simplify the expressions?

Factor of the polynomial

The polynomial is given as:

2x^3 + 6x^2 + 6x + 18

Factor out 2

2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)

Factorize

2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))

Factor out x + 3

2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)

Expand

2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)

Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18

The length of the pool

The given parameters are:

Area = 2x^3 - 29x + 12

Width = x + 4

The length is calculated as:

Length = Area/Width

This gives

Length = 2x^2 - 29x + 12/x + 4

Factorize the numerator

Length = (2x^2 - 8x + 3)(x + 4)/x + 4

Cancel out x + 4

Length = 2x^2 - 8x + 3

Hence, the length of the pool is 2x^2 - 8x + 3

Simplify the expression

The expression is given as:

(3s^2 - 2s + 1) [tex]\div[/tex] (s^2 - s + 2)

Evaluate the quotient

3 + (s - 5)/(s^2 - 5 + 2)

Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)

Read more about algebraic expressions at:

https://brainly.com/question/2164351

Hiking club wanted to cover a different trail each day for a week. On Monday they had 2.3 miles, and Tuesday they height 1.8 miles, on Wednesday they height 3.2 miles, on Thursday they hide 1.4 miles, on Friday they hike 2.8 miles. what is the total distance they hiked

Answers

Answer:

11.5 Miles

Step-by-step explanation:

Add up all the mile times.

2.3+1.8+3.2+1.4+2.8=11.5

1/3 + 1/3=
5/10-2/10=
=
4/5-2/5=
11+1=
=

Answers

Answer:

Step-by-step explanation:

1/3 + 1/3= 2/3

5/10-2/10=3/10

4/5-2/5=2/5

11+1=12

Hello I need a little here with this

Answers

I may be wrong but I believe that <1=<2

which combinations hold the same amount of liquid as an 8-pint bowl

Answers

The correct answers are C, D, and E.

1 quart = 32 fl oz
1 pt = 16 oz

Using these conversions you will multiply the number of quarts or pints by the number of ounces in each and then add the totals together to find if they equal 128 oz.

C. 4 x 32 = 128 oz
D. 2 x 32 + 8 x 8 = 128 oz
E. 3 x 32 + 2 x 16 = 128 oz

The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written is all I haven’t figured out

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex] \qquad \sf  \dashrightarrow \:y = a \sin(bx) + k[/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]


(x – 5)² + (y + 11)² = 49
a. What type of conic is this?
b.What is the center?
c. What is the radils?
d. What is the area of this shape?
Help pleaseee

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A

The equation is in the form of [tex](x-h)^2+(y-k)^2=r^2[/tex], which happens to be the equation of a circle

Part B

For the equation of the circle, its center is at [tex](h,k)\rightarrow(5,-11)[/tex]

Part C

Since [tex]r^2=49[/tex], then the radius of the circle is [tex]r=7[/tex]

Part D

The area of a circle is [tex]A=\pi r^2[/tex], so the area is [tex]49\pi[/tex] square units.

Help with tthis photo pls T.T ​

Answers

[tex]\bold{FULL ANSWERS:}[/tex]

Answer:

1. False

2. Not sure

3. True

Statement A

A = bh/2

34 = (10)h/2

68/10 = h

h = 6.8

FALSE The actual height of the triangle is the hypotenuse of the fake outer triangle. 6.8 is not used to calculate the area.

Statement B

A = (d1 + d2)/2

56 = (d1 + d2)/2

112 = d1 + d2

I have no idea for this one. There is no way that I know of to verify the area if I don't have at least one diagonal.  

Statement C

A = (a + b)(h)/2

24 = (7 + 9)(3)/2

48 = (7 + 9)(3)

16 = 7 + 9

16 = 16

TRUE Area of the trapezoid = 24 in².

Which expression is equivalent to (x – 4)(2x2 – 3x + 7)?
A. -4x(2x2 – 3x + 7)
B. x(2x2 – 3x + 7) - 4
C. x(2x2 – 3x + 7) + 4(2x2 – 3x + 7)
D. x(2x2 – 3x + 7) - 4(2x2 – 3x + 7)

Answers

Answer:

A:

-4x(2x2 – 3x + 7)

Step-by-step explanation:

You work 44 hours at Candelaria's Tortilla Factory (CTF), You earn $15.00 per hour and you get paid 1.5 times
your base rate for hours worked over 40 hours. You pay 6.25% for Social Security, and 1.45% for Medicare.
You also pay $83.00 for your health insurance. You also put 3% of your gross pay into 401(k). How much is
your take home pay?

Answers

Answer:

$537.87

Step-by-step explanation:

First, we need to determine our total pay which will be 40 hours times our $15 per hour to be $600. For the extra hours above 40, we are payed 1.5 times as much.

$15 * 1.5 = $22.5 * (44-40) = $90 additional pay

$600 + $90 = $690 total pay

Now, we calculate all of our deductions.

Subtract social security to be

690 * (1-0.0625) = $646.875

Medicare Deduction

646.875 * 0.9855 = $637.50

Health Insurance

$637.50-83 = $554.50

401k Deduction

$554.50 * 0.97 = $537.87

A rectangular sheet of metal measures 8 inches by 12 inches. The metal is worth $2.00 per square inch. How much is the sheet of metal worth?

Answers

Answer:

Step-by-step explanation:

Find the area of the sheet metal

Area = L * w

L = 12

w = 8

Area = 12 * 8

Area = 96 square inches.

Find the value of the sheet metal

1 square inch costs $2.00

96 square inches cost 2 * 96 = $192.00

A battery for an underwater drone is in the shape of a square prism is designed to draw in
searates that is then used to produce energy. The base of the battery has soe lengths of 15 centimeters and the heght of the
bertery is 10 centimeters. Find the volume of the battery.

Answers

Answer:

2250 cm^3

Step-by-step explanation:

Volume of sq prism - Base x Base x Height

15 x 15 x 10 = 2250

PLEASE HELP 50 POINTS OLUS BRAINLY

Answers

Answer: 4n-7

Step-by-step explanation:

Find the slope of the line passing through the points (7, -3) and (3, -7)

Answers

Answer

The slope is (2,4) and (1,2)

Step-by-step explanation:

The slope is (2,4) and (1,2) I think

what is difntion of tautology?

Answers

a phrase or expression in which the same thing is said twice in different words.

If the discriminant of a quadratic equation is equal to Negative 8, which statement describes the roots?

Answers

Answer:

There are two complex roots

Step-by-step explanation:

Answer:

A. There are two complex roots

Step-by-step explanation:

got it right on edg.2022 <3

Suppose that at some future time every telephone in the
world is assigned a number that contains a country code
1 to 3 digits long, that is, of the form X, XX, or XXX,
followed by a 10-digit telephone number of the form
NXX-NXX-XXXX (as described in Example 8). How
many different telephone numbers would be available
worldwide under this numbering plan?

Answers

Using the Fundamental Counting Theorem, it is found that [tex]1.11 \times 10^{13}[/tex] different telephone numbers would be avaiable worldwide.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the code, considering that for each digit there are 10 possible outcomes, the number of options is [tex]n_1 = 10 + 10^2 + 10^3 = 1110 = 1.11 \times 10^3[/tex].For the number, there are 10 digits, each with 10 options, hence the number of options is [tex]n_2 = 10^{10}[/tex].

Hence, the number of different telephone numbers that would be avaiable is given by:

[tex]N = n_1n_2 = 1.11 \times 10^3 \times 10^{10} = 1.11 \times 10^{13}[/tex]

[tex]1.11 \times 10^{13}[/tex] different telephone numbers would be avaiable worldwide.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

Please help I'll mark brainliest 2​

Answers

Answer:

True

Step-by-step explanation:

To find the amount of observations all you need to do is just add up the dots. Adding the number of observations in each range should be true

nvm someone answered lol good luck!

solve for x !
[tex]x {}^{2} - 36 = 0[/tex]

thankyou ~​

Answers

Answer:

X = 6. Give brainliest

Step-by-step explanation:

Solution:

x² - 36 = 0

or x² = 36

or x² = 6²

Therefore, the value of x is 6.

Answer:

x^2-36=0

x^2-36+36=0+36

x^2=36

x=√(36),x=-√(36)

√(36) → 6

-√(36) → -6

x=6,x=-6


Write an equation in standard form of the hyperbola described.
Vertex (10, 0); focus (-26, 0); center (0,0)

Answers

Check the picture below, so the hyperbola looks more or less like the one below, let's find the conjugate axis or namely the "b" component.

[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=0\\ k=0\\ a=10\\ c=26 \end{cases}\implies \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 26^2=10^2+b^2\implies 676=100+b^2\implies \underline{576=b^2} \\\\\\ \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{576}\implies \boxed{\cfrac{x^2}{100}-\cfrac{y^2}{576}}[/tex]

In an experiment, the probability that event A occurs is 7/8, the probability that event B occurs is 7/9, and the probability that events A and B both occur is ¾ . What is the probability that A occurs given that B occurs?

Question 5 options:

0.829


0.125


0.762


0.964

Answers

Answer:

Here is answer

Step-by-step explanation:

sorry if it is wrong

I think 0.762 in the answer

can someone tell me the answer

Answers

Answer:

A. 9/25

Step-by-step explanation:

There are a total of 25 T-shirts, which means that the denominator of the fraction is going to be 25 (which already rules out B and C). In the information they give us, they said that there are 9 red shirts. Therefore, the numerator will be 9. Our complete fraction is 9/25, or A.

I hope this helps! Have a lovely day!! :)

If F(x) and f-1(x) are inverse functions of each other and f(x) = 2x+5, what is f-1( 8) ?


O -1
O 3/2
O 41/8
O23

Answers

Answer:

the answer is 3/2........

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