2x to the fourth power + 5x squared + 3, factored

Answers

Answer 1
We want to factor:
[tex]2x^4+5x^2+3[/tex]

This may seem tricky because of the high powers, but remember that [tex]x^4=(x^2)^2[/tex]. Then we can factor it as:
[tex]2x^4+5x^2+3=(2x^2+3)(x^2+1)[/tex]
Answer 2
(x squared+1)(2x squared+3)

Related Questions

The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 3x + 8 and g(x) = x2. Find (f • g)(x).

A. x2 − 3x − 8
B. 3x2 + 8
C. 3x3 + 3x2 + 8
D. 3x3 + 8x2

Answers

(f•g)(x)=f(g(x))
[tex]f(g(x)) = 3({x}^{2} ) + 8[/tex]
which is B

4.Thirty percent of the liquid evaporated. If 560 milliliters remain, how many milliliters evaporated?

Answers

392 millimeters I think that's the answer but I'm not sure
The answer is 392 because 560 multiplied by .7 is 392

Solve for x.

13(x - 3) = 39

x = 1
x = 4
x = 6
x = 10

Answers

First you need to distribute. This is what you do.

13(x - 3) = 39
13x - 39 = 39
Add 39 to both sides to isolate the variable.
13x = 78
Now divide.
x = 6
I hope this helps love! :)

3y-5z=-23
4x+2y+3z=7
-2x-y-z=-3

Solve for each variable, please show work if possible!

Answers

{y,z,x} = {-9/4,13/4,7/16}  
4x + 2y + 3z = 7
-2x - y - z = -3....multiply by 2
------------------
4x + 2y + 3z = 7
-4x - 2y - 2z = -6 (result of multiplying by 2)
------------------add
z = 1

3y - 5z = -23
3y - 5(1) = -23
3y - 5 = -23
3y = -23 + 5
3y = - 18
y = -18/3
y = -6

4x + 2y + 3z = 7
4x + 2(-6) + 3(1) = 7
4x - 12 + 3 = 7
4x - 9 = 7
4x = 7 + 9
4x = 16
x = 16/4
x = 4

solution is (4,-6,1)

5/6 is equivalent to a percent that is larger than 100%. True False

Answers

False because if true then it would be 7/6 not 5/6. 
False 5/6 = .833
which is less than 1

What method can be used to write the equation of a line in slope-intercept form given two points?

Answers

Final answer:

To write the equation of a line in slope-intercept form given two points, calculate the slope from the points, use one point and the slope to find the y-intercept, then write the equation as y = mx + b.

Explanation:

To write the equation of a line in slope-intercept form, given two points, follow these steps:

Calculate the slope (m) using the formula m = (Y2 - Y1) / (X2 - X1), where (X1, Y1) and (X2, Y2) are the coordinates of the two given points.Once you have the slope, choose one of the two points to substitute into the slope-intercept form equation, y = mx + b, along with the slope you calculated. This will allow you to solve for the y-intercept (b).With both the slope and y-intercept, you can write the final equation of the line: y = mx + b.

For example, if the two points given are (1, 3) and (4, 11), the slope would be (11 - 3) / (4 - 1) = 8 / 3. Then choosing the point (1, 3), we would substitute to find the y-intercept: 3 = (8/3)(1) + b, resulting in b = 3 - 8/3 = 1/3. So the equation of the line is y = (8/3)x + 1/3.

There are 4 seats available at a table in the lunch room of an elementary school, and 12 students are looking for seats. In how many ways can the seats at the table be filled with 4 of these 12 students?

Answers

Answer with explanation:

Total number of vacant seats = 4 seat

Number of students Looking for Seats = 12 Student

We have to fill the four Seats and there are 12 students.

First Seat can be filled in 12 ways,11 students are left,So, second seat can be filled in 11 ways ,Now,there are 10 students left ,So, third seat can be filled in 10 ways,Now there are 9 students left,so last seat can be filled in 9 ways.

Total number of ways of filling 4 seats if there are 12 number of students

               =12 × 11 × 10 × 9

              =132 × 90

             =  11880 ways

Or ,you can solve it directly by the concept of Permutation.

Total ways of filling 4 vacant seats if there are 12 students in all

           [tex]= _{4}^{12}\textrm{P}=\frac{12!}{(12-4)!}=\frac{12\times 11\times 10\times 9\times 8!}{8!}=12\times 11\times 10\times 9=11880[/tex]  

m is the set of integers that are greater than -1 and less than 4

Answers

greater than -1 and less than 4...3 2 1 0 all positive :3

log(w^2+21)=log(10w)

Answers

Final Answer:

[tex]\[ w = 7 \][/tex]

Explanation:

The given equation is [tex]\(\log(w^2+21)=\log(10w)\)[/tex]. To find the solution, we can set the arguments of the logarithms equal to each other, giving [tex]\(w^2 + 21 = 10w\)[/tex].

Rearranging, we get a quadratic equation [tex]\(w^2 - 10w + 21 = 0\).[/tex] Factoring or using the quadratic formula yields the solutions  

However, we need to check for extraneous solutions. Substituting [tex]\(w = 3\)[/tex] back into the original equation results in taking the logarithm of a negative number, which is undefined in the real number system. Therefore, [tex]\(w = 3\)[/tex] is extraneous, and the valid solution is [tex]\(w = 7\).[/tex]

In the detailed explanation, we used the property of logarithms that states [tex]\(\log(a) = \log(b)\)[/tex] implies [tex]\(a = b\)[/tex]. By setting the arguments of the logarithms equal to each other, we obtained a quadratic equation.

Factoring or applying the quadratic formula allowed us to find the solutions. However, we must always check for extraneous solutions by substituting them back into the original equation and ensuring the logarithms are defined for the real number system.

In this case, only [tex]\(w = 7\)[/tex] satisfies the equation without resulting in undefined logarithms.

w is partly constant and partly varies inversely as the square of t. when w=24, t=4 and when w=18, t=2.
i. determine the law connecting w and t
ii. find t when w = 46

Answers

Steph d question is wrong

To find the law connecting w and t, we establish w as partly constant and partly inverse to t squared. Using given values, we find constants k and c and then solve for t when w is 46.

The problem states that w is partly constant and partly varies inversely as the square of t. Given two sets of values for w and t, we can establish the relationship between them. Since the variation is inverse with respect to the square of t, we can write the relationship as:

w = k / t2 + c

where k is a constant of variation and c is the constant part of w. To find these constants, we use the given data points (24, 4) and (18, 2). Substituting these into the equation, we get two simultaneous equations:

24 = k / 42 + c18 = k / 22 + c

Solving these will give us the values of k and c, which then allows us to find t when w = 46.

To solve for t when w = 46, we plug this value into our established equation and solve for t. We'll end up with a quadratic equation in terms of t that we need to solve to find the time t.

Eliza Savage received a statement from her bank showing a checking account balance of $324.18 as of January 18. Her own checkbook shows a balance of $487.38 as of January 29. The bank returned all of the cancelled checks but three. The amounts of these three checks are $15.00, $77.49, and $124.28. How much did Eliza deposit in her account between January 18 and January 29? 

       A. $197.24   B. $379.97   C. $54.44   D. $201.12

Answers

Answer:

b

Step-by-step explanation:

Which statement is true about this argument?

Premises:
If a parallelogram has a right angle, then it is a rectangle.
Parallelogram PQRS has a right angle.

Conclusion:
Parallelogram PQRS is a rectangle.

The argument is not valid because the conclusion does not follow from the premises.

The argument is valid by the law of syllogism.

The argument is not valid because the premises are not true.

The argument is valid by the law of detachment.

Answers

The argument is valid by the law of detachment.

Answer:

The argument is valid by the law of detachment.

Step-by-step explanation:

We first verify that the first statement, "if p, then q" is correct.  If a parallelogram has a right angle, this means that the angle opposite that angle must also be right; this is because the opposite angles of a parallelogram are congruent.

This also means that the adjacent angle to this right angle must also be right; this is because the adjacent angles in a parallelogram are supplementary.

Thus "if p, then q" is true.

The law of detachment states that if I have two statements, one of the form "if p, then q" and the other "p", then the conclusion, "q," is valid.

How do you solve -3x+d=-9

Answers

Step 1: Add 3x to both sides.d−3x+3x=−9+3xd=3x−9 = ANSWER

Can you possibly help me on my recent question?

Find all numbers such that a third of a number increased by half that number is at least 3 less than that same number.

Answers

Answer:

All the numbers are less than and equal to 18.

Step-by-step explanation:

To find : All numbers such that a third of a number increased by half that number is at least 3 less than that same number ?

Solution :

Let the number be 'x',

A third of a number is [tex]\frac{x}{3}[/tex]

Half that number is [tex]\frac{x}{2}[/tex]

3 less than that same number is [tex]x-3[/tex]

A third of a number increased by half that number is at least 3 less than that same number is written as,

[tex]\frac{x}{3}+\frac{x}{2}\geq x-3[/tex]

[tex]\frac{2x+3x}{6}\geq x-3[/tex]

[tex]\frac{5x}{6}\geq x-3[/tex]

[tex]5x\geq 6x-18[/tex]

[tex]5x-6x\geq -18[/tex]

[tex]-x\geq -18[/tex]

[tex]x\leq 18[/tex]

Therefore, all the numbers are less than and equal to 18.

The set of numbers such that a third of a number increased by half that number is at least 3 less than that same number are given as; x <= 18.

According to the question;

Let the numbers in question be represented as x.

In essence;

[tex] \frac{x}{3} + \frac{x}{2 } \geqslant x - 3[/tex]

[tex] \frac{5x}{6} \geqslant x - 3[/tex]

5x >= 6x - 18

-x >= -18

x <= 18

Therefore, the set of numbers such that a third of a number increased by half that number is at least 3 less than that same number are given as; x <= 18.

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LeAnn wants to gift wrap a present she got for her little brother. How many square inches of gift wrap will be needed to cover a box that is 4in x 6in x 2in?

Answers

She will need 12 square inches.

This may not be right.
I hope this helps!
Have a Great Afternoon!
Best of Luck!

A rock is thrown in the air from the edge of a seaside cliff. Its height in feet is represented by f(x) = –16(x2 – 3x – 18), where x is the number of seconds since the rock was thrown. The height of the rock is 0 feet when it hits the water.How long does it take the rock to hit the water? How many seconds?

Answers

Set the given equation equal to zero (0), since that's the height of the rock when it hits the water:

0 = -16(x^2 - 3x - 18)  (Note:  Please write x^2 to denote "square of x.")

Solving this equation for x, we get:

0 = -16(x-6)(x+3), and x=-3 or x=6.  Since x represents time, discard the negative value x=-3.

The rock hits the water after 6 seconds.

The time it takes the rock to hit the water is 6 seconds

Data;

f(x) = -16(x^2 - 3x -18)Time it takes for the rock to hit the ground?

To find the time it takes for the rock to hit the ground, we have to use the and assume that the given equation represents the height at which the rock attained.

[tex]f(x) = -16(x^2 - 3x -18)\\0 = -16x^2 + 48x + 288\\16x^2 - 48x - 288 = 0\\x^2 - 3x - 18 = 0[/tex]

Solving the above quadratic equation,

x = - 3 or x = + 6

The time it takes the rock to hit the water is 6 seconds

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How can x-2/3=5/6 be solved for x in one step?

Answers

x - 2/3 = 5/6

 the only step needed is to add 2/3 to 5/6

2/3 + 5/6 = 1 1/2

x = 1 1/2

Answer:

the value of x is [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

we need to solve value of x for expression [tex]x-\frac{2}{3}=\frac{5}{6}[/tex]

[tex]x-\frac{2}{3}=\frac{5}{6}[/tex]

Add both the sides by [tex]\frac{2}{3}[/tex]

[tex]x-\frac{2}{3}+\frac{2}{3}=\frac{5}{6}+\frac{2}{3}[/tex]

take L.C.M both the side and simplify

[tex]x=\frac{3}{2}[/tex]

Hence, the value of x is [tex]\frac{3}{2}[/tex]

In the measurement 0.503 l, which digit is the estimated digit? the 0 immediately to the left of the 3 5 the 0 to the left of the decimal point 3

Answers

I believe the answer is 3! Hope this helps!

Answer:

3.

Step-by-step explanation:

We are asked to find the estimated digit in the measurement 0.503 L.

We know that in each measurement the estimated digit is always the last digit.

We can see that the first digit in the given measurement is 5, the second digit is 0 and the last digit is 3.

Since the last digit is in our given measurement 3, therefore, the estimated digit is 3.

In how many ways can you place 8 rooks on a 8x8 chessboard so that no row or column contains more than one rook if

Answers

 82=6482=64choices for that.

Now, for the second one, we can't be in the row or column of that first one, so leaving us with 72=4972=49 choices.

Then so on, we have 62=3662=36 for the third one, 2525 for the fourth one, and so on ……

But, however, we have to remember the rooks are not labeled, thus it doesn't matter specifically about a specific rook's position.

Thus, we have a total of (8!)28!=40320(8!)28!=40320 ways.

PLEASE HELP ME AND SHOW WORK

Write the polynomial in standard form, then identify its leading coefficient and constant term.

6x^2+2x+11x^3
Standard form: 11x^3+6x^2+2x, can you just show the work for this?
Leading coefficient: 11
Constant term: please show me how to find this

Answers

First, you must know the meaning of the words used in the problem. For example, what is the definition of a constant term?

constant term: a number of a fixed value that is unaccompanied by a variable. 

For example:

Y= 2x +7 (in this example "7" is the constant term because its value cannot be  changed by any variable)



I would argue that, because every term is followed by an "x" in this equation, there is no constant term unless you were allowed to factor out an "x" from every term in the equation. However, then the equation would no longer be in standard form. 

Does this make sense?



Find the maximum rate of change of f(xy)=ln(x2+y2) at the point (-1, -5) and the direction in which it occurs.

Answers

Gggfzyvtf2134fcccxcxxf

What is the center point of a data set when all of the values are listed in order?

the mean
the median
the mode
the range

Answers

The MEDIAN is the center point when listed in order.
Mean is the average: sum ÷ #of data
Mode is the number which repeats the most
Hey there!

The center point of a data set when all the values are listed in order is the MEDIAN

If the marginal propensity to consume is 0.8, (a) what is the value of the multiplier?

Answers

Given the marginal propensity to consume (MPC), the miltiplier is given by

Multiplier = 1 / (1 - MPC)

Given that the marginal propensity to consume is 0.8, the multiplier is given by

Multiplier = 1 / (1 - 0.8) = 1 / 0.2 = 5

James borrows $300 at an interest rate of 8% and takes 5 years to pay it off. How much does he pay? Question 2 options: $420 $120 $240 $600

Answers

$420 is the correct answer

Rank and alice are penguins. at birth, frank's beak was 1.95 inches long, while alice's was 1.50 inches long. homework help ✎ frank's beak grows by 0.25 inches per year and alice's grows by 0.40 inches per year. write an equation to represent the length of each penguin's beak in x years. how old will they be when their beaks are the same length?

Answers

F for Frank, A or Alice. F(initial)=1.95 inches A(initial)=1.50 inches Frank's equation at .25 inches per year and t representing year variable. F=1.95+.25t Alice's equation at .40 inches per year and t representing year variable. A=1.5+.40t To figure out how old they will be when their beaks are the same lengths set the equations equal to eachother as the equations are length. 1.95+.25t=1.5+.40t .45=.15t t=3 years

A rectangle has an area of 126 m2 and a width of 7 m. What is its length?

Answers

126 divided by 7 equals 18



18 m
to find the length divide the area by the width 

126/7= 18

check your work to make sure 18 is the length 

18*7= 126

Since 18 * 7 does equal 126, 18 is your answer :)

What is the surface to a rectangular playing surface with 44 feet and 77 feet?

Answers

A = LW

A = (44 ft)(77 ft) = 3388 ft^2

) compute $x+y$ and $\sqrt{x^2+y^2}$ when $x=5$ and $y=12.$
b.when is \[x+y=\sqrt{x^2+y^2}?\]when is

Answers

its &6896596&*^9{6382}

explain how you can compare the cost of two items that are different sizes

Answers

Answer:

First find the unit price for each. Then compare the unit prices. The item that has the lesser unit cost is the better buy.

Step-by-step explanation:

Final answer:

When comparing the costs of two items that are different sizes, use ratios to make a comparison and consider the unit size.

Explanation:

When comparing the costs of two items that are different sizes, you can use ratios to make a comparison. Let's say Item A costs $10 and Item B costs $20. Item A is twice as expensive as Item B. To make the comparison fair, you can also consider the size or quantity of the items. For example, if Item A is twice as expensive but also twice as large as Item B, then the cost per unit size is the same. However, if Item A is half the size of Item B, then Item B is a better deal in terms of size.

Which linear inequality is represented by the graph

Answers

The answer is either A or B. I think its B 

Option B is correct, y≤1/3x-4 is the  linear inequality which is represented by the graph

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The equation of line passing through points (3, -3) and (0, -4)

Slope = -4+3/0-3

=1/3

Now let us find y intercept

-4=1/3(0)+b

b=-4

Equation is y=1/3x-4

y≤1/3x-4 is the required inequality of the graph

Hence, y≤1/3x-4 is the  linear inequality which is represented by the graph

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