Express in simplest form: (3x^2 + 4x - 8) - (-2x^2 + 4x + 2)​

Answers

Answer 1

Answer:

5x² - 10

Step-by-step explanation:

Step 1:

( [tex]3x^{2}[/tex] + 4x - 8 ) - ( [tex]-2x^{2}[/tex] + 4x + 2 )   Equation

Step 2:

3x² + 4x - 8 + 2x² - 4x - 2    Open Parenthises

Answer:

5x² - 10          Simplify

Hope This Helps :)

Answer 2

Answer:

5x² + 10

Step-by-step explanation:

Given Equation :-

( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Solution :-

( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Step 1:- Remove unnecessary parantheses.

3x² + 4x - 8 + 2x ² - 4x - 2

Step 2 :- arranging like terms.

3x² + 5x² + 4x - 4x -8 - 2

Step 3 :- Calculate like terms.

5x² + 10

Related Questions

What is the volume, in cubic inches, of a cylinder with a height of 10 inches and a base radius of 2 inches, to the nearest tenths place?

Answers

Answer:

125.7 inches cubed.

Step-by-step explanation:

πr^h is the formula for volume of cylinder.

I need help with this three problems (with procedure)

Answers

Answer:

13. [tex]x^{3} y^3[/tex] cubic units

14. 43 million; 79 million; 3.6 × [tex]10^7[/tex]

15. 2.68 × [tex]10^5[/tex]

Step-by-step explanation:

Which of these is an example of a continuous random variable?
A. Points scored in a basketball game
B. Altitude of an airplane
C. Number of letters in a mailbox
D. Number of heartbeats in a minute

Answers

The answer to the question is B

A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is
PA and B)?

Answers

Answer:

0.15

Step-by-step explanation:

Can someone help with this one

Answers

Answer:

2 bicycles

Step-by-step explanation:

let no. of bicycles be xno.of tricycles = (6 -x)

as there were 5 bicycles and tricycles

now,

a bicycle has 2 wheels a tricycle has 3 wheels

total no.of wheels = 16

2x + 3(6 - x) = 16

2x + 18 - 3x= 16

2 - x = 0

2 = x

therefore, there are 2 bicycles.

What is 17 % of 3,000?​

Answers

Answer:

510

Step-by-step explanation:

17% of 3000 would be 17 in 30 hundreds, think about it that way

Find the area of this isosceles trapezoid. A) 85.5 units2 B) 171 units2 C) 342 units? 345 units?​

Answers

9514 1404 393

Answer:

  B) 171 units^2

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2(b1 +b2)h

Filling in the given base and height values, we find the area to be ...

  A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units

_____

Additional comment

You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.

__

Multiplication by 9 is not so hard. It is multiplication by 10-1:

  15×9 = 15×(10 -1) = 150 -15 = 135

Solve the formula Ax + By = C for X

Answers

Answer:

Step-by-step explanation:

Ax+By=C

Ax=C-By

x=C-By/A

Solve for t 8t-{(6t-1)/2}=5
I'm not sure how to go about a removing the fraction here. I'm 20 years rusty.

Answers

Answer:

t=9/10 Hope that helped

Hope this helps!

Armycee:)

Which equation is written in factor form?

Answers

I believe the 2nd one

Click on the area of the square?

Answers

Answer:

The answer for this question is 64 square centimeters

Step-by-step explanation:

To find the area of square , the formula is :

side × side , so in this question we should do 8×8 , since one of the side is 8 cm .

8×8 = 64

Thus the answer of your question is 64

༆SOLUTION:

—————————————————

[tex]\mathrm{A = s²}[/tex]

[tex]\mathrm{A = (8 \: cm)²}[/tex]

[tex]\mathrm{A = (8 \: cm)(8 \: cm)}[/tex]

[tex]{\boxed{\mathrm\green{A = 64 \: cm²}}}[/tex]

༆ANSWER:

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{64 \: square \: centimeters}}}}[/tex]

Hence, the area of the square that has a side of 8 cm, is 64 cm².

Remember!To find the area of a square, just use the formula "A = s²".

The table shows the ages of children in the Eliason family.
A:6
B:10
C:11
D:16​

Answers

Answer:

The answer is B and BTW AMC STOCKS ARE RISING

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Which of the following is equal to the expression below?
A.
B.
C.
D.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

hope this helps

PLZ HELP WILL GIVE 50 POINTS - QUADRATIC APPLICATIONS

find how far away (ground distance) from the catapult will white bird be at its highest. (round to the nearest 2 decimal points)
h= -0.114x^2+2.29x+3.5


Answers

Answer:

The bird will be at a ground distance of 10.04 units away.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Equation for the height:

The height of the bird after x seconds is given by:

[tex]h(x) = -0.114x^2 + 2.29x + 3.5[/tex]

Which is a quadratic equation with [tex]a = -0.114, b = 2.29, c = 3.5[/tex].

When the bird is at its highest?

Quadratic equation with [tex]a < 0[/tex], and thus, at the vertex. The ground distance is the x-value of the vertex. Thus

[tex]x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04[/tex]

The bird will be at a ground distance of 10.04 units away.

Which best describes the relationship between the successive terms in the sequence shown?
9, -1, -11, -21,
The common difference is -10,
The common difference is 10
The common ratio is -9)
The common ratio is 9.

Answers

Answer:

the common difference is 10

It’s ten..............................

if the vertex of triangle abc is A(2, 3) B(4, 5) C(6, 2) . find the reflection of it through y axis

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (2, 3 ) → A' (- 2, 3 )

B (4, 5 ) → B' (- 4, 5 )

C (6, 2 ) → C' (- 6, 2 )

I don’t understand the steps for this problem

Answers

Answer:

-53

Step-by-step explanation:

You start off with the g of x equation

then you substitute -5 for the x value

after you solve that, you should get g of  x = 23

then you take the f of x equation and plug 23 in for x

then you simplify that and you should end up with an answer of -53

Step-by-step explanation:

i just need points so i can ask my questions

You weigh a random sample of adult golden retrievers and get the following results: 55, 64, 58, 61, 69, 64, 59, 69, 72, and 65. Which answer gives a 98% confidence interval for the mean of the population

Answers

Answer:

The 98% confidence interval for the mean of the population is (59, 68.2).

Step-by-step explanation:

Before building the confidence interval, we need to find the sample mean and the sample standard deviation.

Sample mean:

[tex]\overline{x} = \frac{55+64+58+61+69+64+59+69+72+65}{10} = 63.6[/tex]

Sample standard deviation:

[tex]s = \sqrt{\frac{(55-63.6)^2+(64-63.6)^2+(58-63.6)^2+(61-63.6)^2+(69-63.6)^2+(64-63.6)^2+(59-63.6)^2+(69-63.6)^2+(72-63.6)^2+(65-63.6)^2}{10}} = 5.142[/tex]

Confidence interval:

We have the standard deviation for the sample, and thus, we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.821

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.821\frac{5.142}{\sqrt{10}} = 4.6[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 63.6 - 4.6 = 59

The upper end of the interval is the sample mean added to M. So it is 63.6 + 4.6 = 68.2.

The 98% confidence interval for the mean of the population is (59, 68.2).

Puzzle- Please help me with this question

Answers

Answer:

Step-by-step explanation:

Multiply the two top numbers together. Then record the first digit of the answer.

5*4 =20              Record 2

9*8 = 81              Record 8

3*6 =18               Record 1

7*5 = 35             Record 3

If there are 8 people, and each person has 4 coins, there are ____ times as many coins as people.

Answers

Answer:

2 times

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

8 x 4 = 32 total coins

32÷8 = 4

Therefore, there are 4 times as many coins as people.

Hope this helps! :)

Find the quotient of these complex numbers (6-I) divided by (4+3i)=

Answers

Answer:

[tex]\frac{21}{25} -\frac{22}{25} i[/tex]

Step-by-step explanation:

We can start by writing the division as a fraction:

[tex]\frac{6-i}{4+3i}[/tex]

In order to rationalize the denominator, we need to multiply by the conjugate:

[tex]\frac{6-i}{4+3i} *\frac{4-3i}{4-3i}\\\\\frac{(6-i)(4-3i)}{4^2-(3i)^2}\\\\\frac{24-18i-4i+3i^2}{16+9}\\\\\frac{24-22i-3}{25}\\\\\frac{21-22i}{25} \\\\\frac{21}{25} -\frac{22}{25} i[/tex]

A study records the lengths of pregnancy (in days) of 500 women. The data is normally distributed with a mean of 266 days and a standard deviation of 16 days. How many women in the study had a pregnancy between 250 days and 282 days in length?

Answers

Answer:

371 women had their pregnancy between 250 days and 282 days in length.

di po ako sure sa answer ko, but it is based on what I remembered.

Step-by-step explanation:

z=532-266

16

√500

= 371.74 or 371

Help!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is one hundred and eight 108

Step-by-step explanation:

108 bro trust me

HELP PLEASE BEING TIMED!
PICTURE IS POSTED BELOW
PLEASE SHOW WORK

Answers

Answer:

5

Step-by-step explanation:

if it's an equilateral triangle that means all sides are the same length

A well-conducted opinion poll showed that 48% of voters surveyed favored the reelection of Congressman Porkbarrel. The people who conducted the survey reported that the poll had a margin of error of 3.5%. Which of the following best describes this statement
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
B. About 3.5% of the people polled are likely to change their minds about who they will vote foir.
C. Between 44.5% and 51.5% of the voters will vote for Congressman Porkbarrel.
D. About 3.5% ofthe people interviewed refused to answer the question.
E. The probability is .48 that Congressman Porkbarrel will be reelected.

Answers

Answer:

A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.

Step-by-step explanation:

Confidence interval:

We build a confidence interval from a sample proportion, to get an estimate of where the population proportion should likely be.

48% of voters surveyed favored the reelection of Congressman Porkbarrel, with a margin of error of 3.5%.

48 - 3.5 = 44.5%.

48 + 3.5 = 51.5%.

Following the concept of a confidence interval, the population proportion is likely to be between 44.5% and 51.5%, and thus, the correct answer is given by option A.

Three baseball players are playing catch. Jessica is directly south of Aaron and directly west of Mike. Jessica and Mike are 8 meters apart and Mike and Aaron are 10 meters apart, How far apart are Jessica and Aaron?

Answers

Answer:

6 m

Step-by-step explanation:

The diagrammatic illustration of the problem. Is attached

The diaabcw between Aaron and Jessica can be obtained using Pythagoras :

d = √(10² - 8²)

d = √100 - 64

d = √36

d = 6

A wall has an area of 40 square feet. Its
height is 8 feet. Which equation could you
use to find its width?

Answers

The answer to your question is B

Which answer choice below best describes the number (22 + 6)

Answers

Answer:

You FAILED to include any choices.

Step-by-step explanation:

can you add a picture?

Solve the following equation for x: 6( 4X +5) = 3( X +8) +3

Answers

Answer:

x= -1/7

Step-by-step explanation:

 


Use the formula C = 2nr and = 3.14 to find the circumference of a circle with a radius of 5 meters

Answers

Answer:

31.4

Step-by-step explanation:

C = 2 x 3.14 x 5

C = 10 x 3.14

C = 31.4

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