Mathematics Middle School

Classify -2x4 - x3 + 8x2= 12 by degree.

Question 12 options:

cubic

quadratic

quartic

quintic

Answers

Answer 1
The highest degree is 4

Quartic is the correct answer.
Answer 2

The solution is Option C.

The equation A = -2x⁴ - x³ + 8x² = 12 is a quartic equation as the degree of the equation is 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

-2x⁴ - x³ + 8x² = 12   be equation (1)

On simplifying the equation , we get

Adding 2x⁴ + x³ on both sides of the equation , we get

2x⁴ + x³ + 12 = 8x²

Subtracting 8x² on both sides of the equation , we get

2x⁴ + x³ - 8x² + 12 = 0   be equation (2)

Now , the highest degree of the variable x in the equation is x⁴ which is 4

Therefore , the equation is quartic

Hence , the equation is 2x⁴ + x³ - 8x² + 12 = 0

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Related Questions

Find the outlier in the data: 38, 38, 18, 28, 36, 30, 39, 32. How does the outlier affect the mean? If necessary, round to the nearest tenth. 43; raises it by 1.5. 18; lowers it by 2. 43; lowers it by 1.5. 18; raises it by 2.

Answers

the outlier is 18. This outlier will lower the average mean. The answer is B
The outlier is 18.
and it lowers the mean by about 2

Benjamin solved the equation 3+/2=10 and justified each step as shown. Identify Benjamin’s error and fix his mistake.
3+x/2=10 GIVEN
x/2=7 MULTIPLICATION PROPERTY OF EQUALITY
x=14 SUBTRACTION PROPERTY OF EQUALITY

Answers

How to solve the equation properly:

3 + x / 2 = 10

Multiply 2 on both sides.

3 + x = 20

Subtract 3 from both sides.

x = 17.

What he did wrong:

He subtracted the three on both sides before he multiplied the two. This will make him get the incorrect answer because he did it in the wrong order.

Hope this helps!


do any of the points below fall on the linear equation shown. Please show work

Answers

You are given three points.  Each point consists of an abscissa (x-value) and an ordinate (y-value).  One by one, take the abscissas and insert them into the given formula to produce a y value.  Then, compare this calculated y-value to the ordinate given.  

Example:  Determine whether (2,0) lies on the graph of the given line.

Subst. 2 for x:  y = (9/5)(2-273) + 32 = -455.8.  This is not equal to the given ordinate (0), so NO, (2,0) does NOT lie on the graph of the given function.

How do you write 1/10 in percent

Answers

1/10 = 10/100

10/100 = 0.10

0.10 = 10%

10% is your answer

hope this helps
10% cause it's just like counting by 10's

What is the smallest power of 10 that would exceed 987,654,321,098,765,432?

Answers

it is 10^18:1000000000000000000

A recipe requires 1/4 lb of onions to make 3 servingsof soup. Mark has 1 1/2 lb of onions. How many servings can mark make?

Answers

16 servings of soup. 1/4 times 4 equals 1 pound and 1/4 times 2 equals 1/2 a pound so it equals 1 1/2.
Hello,

We know that if you have 1/4 Ib of onions, that will make 3 servings. If we make a unit rate table, you'll end up with 18 servings when you have 1 1/2 Ibs of onions.

He would be able to make 18 servings. Hope this helps.

May. 

Kay estimates that Wednesday ride is about 3 miles longer than Tuesday ride . Is her estimate reasonable ?

Answers

Answer:

yes

Step-by-step explanation:

4(x+8)-4=34-2x steps

Answers

Step 1: Simplify both sides of the equation.4(x+8)−4=34−2x(4)(x)+(4)(8)+−4=34+−2x(Distribute)4x+32+−4=34+−2x(4x)+(32+−4)=−2x+34(Combine Like Terms)4x+28=−2x+344x+28=−2x+34Step 2: Add 2x to both sides.4x+28+2x=−2x+34+2x6x+28=34Step 3: Subtract 28 from both sides.6x+28−28=34−286x=6Step 4: Divide both sides by 6.6x6=66x=1

Equation: y= -0.25x+1
After how many minutes is the timer 25% full?

Answers

Answer: 3 minutes

To solve this, I plugged 0.25 into the y value since it represents the amount of sand remaining. I then solved for the x value which gave me a value of 3. (I hope this helps)

ShopRite has jeans on sale for 3/10 off .Save more has jeans on sale for 33% off for has a better sale on jeans?explain.

Answers

3/10 is 30%
Save more jeans are 33% off

What is 45,824 rounded to the nearest thousand

Answers

46,000 is the answer
You have your 1s 10s 100s 1,000s 10,000s. 45,824 you want to round to the nearest thousands so you look at 5,824. if its 5 or more go up if its 4 or round down. 800 is more than 500 so you round up to 6,000. The answer is 46,000.

write the answer as a decimal fraction 14/100=? /10+? /100=?

Answers

14.100 or you can do something like that try it in see if it’s right
Final answer:

To write the fraction 14/100 as a decimal fraction, divide the numerator by the denominator. The result is 0.14. Additionally, dividing any number by 100 will result in moving the decimal two places to the left.

Explanation:

To write the fraction 14/100 as a decimal fraction, divide the numerator (14) by the denominator (100). 14 divided by 100 is equal to 0.14.

To find an expression as a decimal fraction, you can first convert the fractions to a decimal by dividing the numerator by the denominator.

For example, 10/100 is equal to 0.10 (10 divided by 100) and ?/100 is equal to ? (dividing any number by 100 will result in moving the decimal two places to the left).

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A baker used 4 cups of flour to make 5 batches of brownies. He used_of a cup of flour to make 1 batch of brownies

Answers

(I dont know if this is the way your teacher told you how solve the problem but I'm gonna try it anyway)

First of all, Let x = the mystery amount of flour

To create my equation, I put cups of flour over the amount batches in a formation, kind of like a fraction. 

  cups
-----------  
batches 

Next, I fill in the values. 

 cups             4
-----------  = ---------  
batches        5

The 4/5 represents the first ratio of flour/batches. 

 cups             4               x
-----------  = ---------   = ---------
batches        5                1

Since we do not know that amount of flour it took to make one batch, we put x in it's place.

Now it's time to cross multiply. It's exactly like it sounds! Multiply diagonally. 

Multiply 5 and 'x'. Multiply 4 and 1. 

You end up with a eqaution that looks like:

5x = 4

As you would for any solve-by-x equation, divide the five on both sides. 

5x= 4
-       -
5     5

4/5 = Four-Fifths

5/5 cancels itself out and poofs into thin air. 

You end with x = 4/5

This is the answer. 

The baker used 4/5 cups of flour to make 1 batch of brownies :)



Simplify this algebrtic expression
Z-4/4+8

Answers

 it equals to z/16


brainliest answer plz:)
1/12z + -1/3 is the answer.

is 5 factor of the number 38 yes or no

Answers

no it is not. 5 can go into 35 and 40, but not 38
The factors of the number 38 are 1, 2, 19 and 38. For any positive number, the number 1 and the number itself are factors, so 1 and 38 are inherent factors. Additional numbers that divide 38 evenly are 2 and 19.

Write 63 as a sum of tens and ones

Answers

you have 60 in your tens place. you have 3 in your ones place. then add both together

A farmer had 1,000 horses and cows. After selling some of them, he had 550 horses and 350 cows left. How many horses and cows did he sell altogether?

Answers

the farmer had sold 100 horses and cows

Find the value of x (5x) (3x+12

Answers

The value that shows the expansion of the given algebraic expression  is 6.

What is the solution to the algebraic expression.

An algebraic expression is a mathematical expression that has the variables, coefficients, and its arithmetic operators

In the complete question attached below, we are to find the value of x.

We can see that the angles are alternate angles.


So, 5x = (3x + 12).Combine like terms, we have:

5x - 3x = 12

2x = 12

x = 12/2

x = 6

Therefore, the value of x is = 6.

You put $550 in an account that earns 4.4% simple interest per year. How much interest do you earn in 6 month

$1.21

$12.10

$121.00

$145.20

Answers

(550*4.4)/100=24.2
24.2/12=2.016 $ in month
2.016*6=12.10 $
12.10 would be the interest for only 6 months. 

The figure shows the letter T and four of its transformed images—A, B, C, and D. (See image.)


Which of the four images was formed by a reflection of the letter T?

A) A
B) B
C) C
D) D

Answers

its C
I believe it is

4. Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. Her roommate Frances also has a job. Her pay for t hours each week is given by the function f(t)= 10t, where 5

Answers

Given that Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. Her roommate Frances also has a job. Her pay for t hours each week is given by the function f(t)= 10t, where 5 ≤ t ≤ 15.

Part A:

Given that Grace's time is rounded to the nearest quarter of an hour. The domain for Grace is given by {10, 10.25, 10.50, 10.75, - - -, 19.75, 20}.

The range for grace is given by {9(10), 9(10.25), 9(10.50), 9(10.75), - - -, 9(19.75), 9(20)} = {90, 92.25, 94.5, 96.75, - - -, 177.75, 180}

The domain for Frances is given by: 5 ≤ t ≤ 15.

The range for Frances is given by: 10(5) ≤ f(t) ≤ 10(15) = 50 ≤ f(t) ≤ 150.



Part B:

Grace earns $9 per hour and $80 to $180 per week while Frances earns $10 per hour and $50 to $150 per week.

Giving who ever answers correctly over 30 points.

1: Solve for x.

x - 3/8 = - 5/8

a: x=1/4
b: x= -1/4
c: x= -1

2: Solve for x.

2x = 15 + x

a: x= -15
b: x= 15
c: x= 15/2

3: Solve for x.

x + 5 = 2x

a: x=3
b: x= -5
c: x= 5

Answers

The first one would be b,

second is b

third is c.

Hope this helps!

Number 1 is b
Number 2 is b
Number 3 is c

Given the binomials (x-1), (x-3), (x+3), (x+5), which one is the factor of f(x) = x^3 + 6x^2 + 12x +35?

Answers

The given polynomial is
f(x) = x³ + 6x² + 12x + 35

According to the Remainder Theorem, if x = a is a zero, then
f(a) = 0, and (x-a) is a factor.

Test (x-1):
f(1) = 1 + 6 +12 + 35 = 54   
Not a factor.

Test (x-3):
f(3) = 3³ +6*3² + 12*3 + 35 = 152
Not a factor.

Test (x+3):
f(-3) = (-3)³ + 6*(-3)² + 12*(-3) + 35 = 26
Not a factor.

Test (x+5):
(-5)³ + 6*(-5)² + 12*(-5) + 35 = 0
It is a factor.

Answer: (x+5) is a factor.

I need help Simplifying!!!!!!!!!!
2x−(x+6)

Answers

To simplify this, we first need to distribute the negative sign to the (x+6). It's easier to see if we rewrite the negative as -1:
[tex]2x+(-1)(x+6)=2x+(-1)*x+(-1)*6=2x-x-6[/tex]

Now combine like terms:
[tex]2x-x-6=x-6[/tex]
2x - (x + 6)

The first step is to multiply every term inside the parentheses by -1.

2x - x - 6

Now combine like terms.

x - 6

Done.

you can use similar triangles to find the height of a tree. Triangle ABC is similar to triangle DEC. what is the height of the tree?

please explain it too ^_^


Answers

So if triangle ABC is similiar to triangle DEC then we know that when two figures are similar, the ratios of the lengths of their corresponding sides are equal.So we can write:

AC/DC = BC/EC =AB/DE = k

BC= 9ft + 6ft = 15

BC/EC= k
15/6=k

Now that we know the k we can find the height of the tree that's equal to AB:

AB/DE= k
AB/4=15/6
6AB= 15 x 4
AB= 60/6 = 10

The height of the tree is 10ft


The height of the tree is 10 feet.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the ratios of the lengths of the corresponding sides are equal when two figures are similar, if triangle ABC and triangle DEC are similar, then we may write,

AC/DC = BC/EC = AB/DE = k

BC= 9ft + 6ft = 15

BC/EC= k

15/6=k

Now from this value of 'K' we can determine the height of the tree which is,

AB/DE = k

AB/4 = 15/6

6AB = 15 x 4

AB = 60/6 = 10

The height of the tree is 10ft.

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Please help me!! This is due by 11.59pm. Please show how you got the answer. I got $270.

Answers

It is $150 because you want 125% of 120. You can put 125% as a fraction so the equation now is 125/100*120. So simplifying, you get 12.5*12. So the actual answer is $150.

Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
At a boating and sports store, the cost of renting a personal watercraft is $53 per half hour, which includes a 6% sales tax. Determine the cost of a half hour rental before tax.

The equation is ?. The cost of a half hour rental is $? Per half hour.

Type an equation using x as the variable.

Answers


[tex]y = 53x[/tex]
y= 53(1)
[tex]y = 53[/tex]

Noah currently has an account balance of $2,976.45. He opened the account 11 years ago with a deposit of $1,963.45. If the interest compounds quarterly, what is the interest rate on the account?

Answers

What we know:
Acct. balance A (11)= $2,976.45
Pricipal=$1,963.45
Compounded (n)=quarterly (4)
rate=r
Compound interest formula: A (t)=p (1+r/n)^nt

What we need toi find:
If the interest compounds quarterly, what is the interest rate on the account? Find r.
A (t)=p (1+r/n)^nt
2976.45=1963.45 (1+r/4)^(4×11)
2976.45=1963.45 (1+r/4)^44
2976.45/1963.45=1963.45/1963.45 (1+r/4)^44
1.5159=(1+r/4)^44
(1.5159)^(1/44)=((1+r/4)^44)^(1/44)

1.0095=1+r/4
1.0095-1=1-1+r/4
.0095=r/4
.0095(4)=r/4 (4)
.038=r

Rate = 3.8%


Answer:

The interest rate is 3.79% or 3.8%

Step-by-step explanation:

The formula to find how much money A we have at the end of t years  if we start with a principal or  amount of money P today and the interest is compounded n times in the years is:

A=P(1+ r/n)^(nt)   (1)

Here A = $2,976.45 the final amount

t = 11 years

P =  $1,963.45.

and n = 4 because the interest is compounded quarterly or 4 times in the year.

We the need to simplify  the interest rate r in (1) so:

A=P(1+ r/n)^(nt)   (1)

A/P = (1+ r/n)^(nt)

(A/P)^(1/nt) = (1+ r/n)

(A/P)^(1/nt) - 1  =  r/n

((A/P)^(1/nt) - 1  ) * n =  r

r = ((A/P)^(1/nt) - 1  ) * n

We replace values and solve doing parenthesis exponents first

r = ((2,976.45/1,963.45.)^(1/(4*11)) - 1  ) * 4

r= ((1.51^(1/44)) -1)*4

((1.51^(1/44)) -1)*4

r= (1.009499443  - 1)*4

r= 0.009499443  *4 = 0.037997773

That expressed in percentage multiplying by 100 is 3.79% or 3.8% interest

A soccer field has an area of 7/8 square miles. The length of the field is 2/5 miles. What is the width of the soccer field?

Answers

Answer: The answer is 35/16 miles

Step-by-step explanation: I have my ways ;>

What is 23/35 simplified?

Answers

There is no least common enominator for this answer due to the fact that these numbers don't share a common factor (23 is odd number with only two factors: 1, 23; while 35 is odd number with 4 factors: 1, 5, 7, 35) other than 1.

*But if you do 1/1, it will be 1; so this won't work properly.

So the answer is 23/35.
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