Mathematics Middle School

Factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. What is the resulting expression? (4x2 + 3)(x2 – 5) (4x2 – 3)(x2 – 5) (4x2 – 5)(x2 + 3) (4x2 + 5)(x2 – 3)

Answers

Answer 1

Answer:

Hi there! The answer is to this question is

B. (4x2 – 3)(x2 – 5)

Hope this helps :D

Answer 2

The factored form of the polynomial 4x⁴ – 20x² – 3x² + 15 is (4x² – 3)(x² – 5). The correct option is B.

What is a polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Given polynomial is 4x⁴ – 20x² – 3x² + 15. The polynomial by grouping can be solved as below:-

P = 4x⁴ – 20x² – 3x² + 15

P = 4x² ( x² - 5) -3 ( x² - 5 )

P = (4x² – 3)(x² – 5)

Hence, the factored form of the polynomial 4x⁴ – 20x² – 3x² + 15 is (4x² – 3)(x² – 5).

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Related Questions

Solve x2+4x+1=0. Please someone help me

Answers

the answer of this question is given above.
hope this helps

Answer:

x=2+square root 3

Step-by-step explanation:

hope it helps

evaluate this exponential expression 7*(6+2)^2-3^2

Answers

Yay. I get to answer a question that is actually fun.

[tex]7(6 + 2) ^2 - 3^2 7(8) ^2 - 3^2 7(64) - 9 448 - 9 439[/tex]

Thus, your answer is: [tex]439[/tex]

Following the Order of Operation, the first step would be to solve what is in parenthesis so:
7*(8)^2-3^2
Now, exponents:
7*64-9
Now multiply what you can:
448-9
and finally, subtract for your answer:
439

Which of the following numbers is irrational?

-7/4, 2/3, square root of 3, square root of 4

Answers

Irrational means that it cannot be expressed as a whole number, fraction, or decimal.

-7/4 is a fraction
2/3 is a fraction
square root of 4 is plus or minus 2, whole numbers

But, square root of three can't possibly be expressed as a solid number.

Hope this helps!

Answer:

The square root of 3

Step-by-step explanation:

An irrational number can not be written as a ratio.

And because the square root of 3 is the only answer that can not be written as a ratio, it is irrational.

Therefore, The square root of 3 is Irrational.

Combine 4c - c in like terms

Answers

If no mod deletes this, you get 3c

One-Half cup of black provides 15% of the potassium you need daily. You must get the remaining 2890 milligrams from other sources. How many milligrams of potassium should you consume daily?

Answers

Since the remaining 2890 milligrams is 100-15=85 percent of the potassium you need, we need to find how much 100% is. We can do this by dividing it by 8.5 to get 10 percent, and multiplying that by 10 to get 100%. This is 340*10=3400

pi over 7 = a over 4. a=?

Answers

I hope this helps you.

The equivalent value of the expression π / 7 = a/4 is a = ( 4π/7 )

Given data:

To find the value of a when given π/7 = a/4, cross-multiplication is done and a is solved as:

When two fractions are equal, to eliminate the denominators, the cross multiplication is executed and the unknown variable is solved.

Cross-multiplying the equation:

π * 4 = 7 * a

Simplifying the equation:

4π = 7a

To solve for a, divide both sides of the equation by 7:

a = (4π) / 7

Hence, the solution of a = ( 4π/7 )

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what is 8 divided by 6/7

Answers

9 1/3
Hope this helps! =D

Your answer would be 28/7
hope this helps !

there are 16 sixth graders and 20 seventh graders in a club. the club wants to organize members into equal size groups. each group will only have sixth or only seventh graders.

how many students will be in each group if each group has the greatest number if club members

Answers

sixth graders can have 4 groups of 4
seventh graders can have 5 groups of 4

Finding the Least Common Multiple, 4, we can easily then divide each group (6th and 7 graders) by 4.
16 6th graders ÷ 4 = 4 groups
20 7th graders ÷ 4 = 5 groups
So, the the 6th graders will have 4 groups each with 4 people (LCM).
The 7th graders will have 5 groups each also with 4 people ( LCM).
Hope this helps!

A researcher wished to gauge public opinion on gun-control. He randomly selected 1000 people from registered voters and asked them the following question: “ Do you believe that gun control laws which restrict the ability of Americans to protect their families should be eliminated?” Identify the abuse of statistics and identify ways the researchers methods could be improved.

Answers

The question is clearly one sided - the researcher clearly states that it prevents the ability for families to protect themselves, but doesn't state any negatives to guns in the question.

Answer:

Its a Loaded Question

Step-by-step explanation:

They need to re-word the question. For example, Do you believe gun control laws should eliminated?

The area of a square garden is one sixteenth
1.
16 squared 2. How long is each side?

Answers

Each side is 4 feet
16 ft squared = 4 feet
4 times 4= 16
A square has 4 sides that are equal
Each side is 4 feet

Melissa bought 42 pine seedlings and 30 juniper seedlings

Answers

it could be 42÷30=1.4 and 42×30=1,260 and 42-30=12 and 42+30=72

Determine the slope between the points (-3, 0) and (0, 5)

Answers

The slope is approximately 1.7x+5

Morgan has $60 to spend on clothes. He wants to buy a pair of jeans for $25 and spend the rest on t-shirts. Each t-shirt costs $5. Which inequality represents the number of t-shirts he can purchase? x ≥ 7 x ≤ 16 x ≤ 7 x ≥ 16

Answers

Money Left after Jeans = $60 - $25
= $35

If one shirt costs $5 then,
# of shirts that can be purchased = $35 ÷ $5
= 7

∴ a suitable inequality is x ≤ 7 (where x represents the number of shirts)

And this is true because if more than 7 shirts are bought, then more than $35 would be needed.

Answer:

x ≤ 7

Step-by-step explanation:

What is the area of Figure ABCD?

a) 54 square inches
b) 60 square inches
c) 66 square inches
d) 72 square inches

Answers

d is the answer to the question

What is $117 in a ratio of 1:8

Answers

if 117 is the one:

117: 936

if 117 is the eight:

1: 14.625

hope this helps

48 inches long and 24 inches wide. What is the area of the poster in square feet?

Answers

Hi there! We just need to use some simple multiplication for this equation. I'll walk you through it.

Remember that 1 foot is 12 inches. This'll come in handy later.

48 * 24 = 1152

Now, divide this by 12.

1152/12 = 96

There you go! The area of the poster is 96 square feet.

:)

the area of the poster in square feet is, 8 feet²

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Length of poster = 48 inch

Width of poster = 24 inch

Since, We know that;

1 feet = 1 / 12 inch

Hence, Length of poster = 48 / 12

= 4 feet

And, Width = 24 / 12

= 2 feet

Thus, Area of poster = Length x Width

= 4 x 2

= 8 feet²

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a garden hose faucet is able to fill a gallon container in 20 seconds. A homeowner accidentally left his hose on for a full day. How many gallons per day can a hose be release?

Answers

The hose can release 72 gallons of water in 24 hours

Answer:

The answer is 4320 gallons.

Step-by-step explanation:

A garden hose faucet is able to fill a gallon container in 20 seconds.

A homeowner accidentally left his hose on for a full day.

In 24 hours, there are = 86400 seconds

The number of gallons per day can a hose be release = [tex]\frac{86400}{20}=4320[/tex] gallons

Hence, the answer is 4320 gallons.

Please help: Which conversion factors are used to multiply to 12 m/s to get kilometers per minute? Select each correct answer. 60 s/1 min 1min/60 s 1 km/1000 m 1000/m1 km

Answers

Answer: option A and C (km/1000m and 60second/ 1 minute )
In this question, we have two unit that needed to be converted, meter/second into kilometer/minute.
First, we need to convert meter into the kilometer. One kilometer is equal to 1000 meter. To change meter into the kilometer, the unit used for multiplication should be km/1000m which is option C.
Then we need to convert second into the minute. One minute is equal to 60 seconds. To change "/second" into "/minute" the multiplication unit should be 60second/ 1 minute which was option A

Took the test and it's correct: km/1000m and 60second/ 1 minute

Write the number in expanded notation 4,408,730

Answers

4,408,730

(4 * 1,000,000) + (4 * 100,000) + (8 * 1000) + (7 * 100) + (3 * 10)

The place value chart can help us to write a number in expanded notation. When we put 4,408,730 into the place value chart, we can recognize that our number is equal to

4 millions + 4 hundred thousands + 0 ten thousands + 8 thousands + 7 hundreds + 3 tens + 0 units

Image is provided.

what is the radius for 439.6 circumference

Answers

Well, the formula to find the radius with the circumference would be: [tex] \frac{C}{2 \pi } [/tex]
So just insert 439.6 as C (the Circumference) and you'd get your answer...

the larger of two numbers is nine less than four times the smaller number. If the sum od the two numbers is 76, find both numbers

Answers

x = larger number
y = smaller number

x = 4y - 9
x + y = 76

4y - 9 + y = 76
5y = 76 + 9
5y = 85
y = 85/5
y = 17

x + y = 76
x + 17 = 76
x = 76 - 17
x = 59

ur numbers are 17 and 59

Answer:

17 and 59

Step-by-step explanation:

Let's find the answer by assuming the following:

L=larger number

S=smaller number

The first condition is: 'L' is nine less than four times 'S' but, because:

(four times 'S') is the same as 4*S then:

('L' is nine less than four times 'S') is equal to ('L' is nine less than 4*S), which means:

L+9=4*S (eq. 1)

Second condition is: the sum of the two numbers is 76, so:

L+S=76 which can be written as:

S=76-L using this relation in eq. 1 we have:

L+9=4*S

L+9=4*(76-L)

L+9=304-4L

L+4L=304-9

5L=295

L=295/5

L=59

And also we have:

L+S=76

S=76-L

S=76-59

S=17

In conclusion, the two numbers are 17 and 59.

Write an equation in point-slope form for the line through the given point with the given slope Point: (3, -4) Slope = 6

Answers

Answer: y + 4 = 6(x - 3)

Step-by-step explanation:

The point-slope formula is y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ( [tex]x_1[/tex], [tex]y_1[/tex]) is a point on the graph.

Using the formula given above, we will plug in what we know to write our equation.

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])

y - (-4) = (6)(x - (3))

y + 4 = 6(x - 3)

A conjecture and a portion of the flowchart proof used to prove the conjecture are shown.

Which equation best represents the information that should be in the box labeled 1?

3x = 9

3x = 26

3x = 27

3x = 30

Answers

3x - 1 = 26

addition property of equality, means add 1 to both sides
so 3x = 27

answer
3x = 27 (C. third choice)

Answer:

The correct option is 3.

Step-by-step explanation:

Given: [tex]\overline {PQ}\cong \overline{QR}[/tex], [tex]PQ=3x-1,QR=26[/tex].

Prove: [tex]x=9[/tex]

[tex]\overline {PQ}\cong \overline{QR}[/tex] (Given)

[tex]PQ=QR[/tex] (Segment congruent postulate)

[tex]3x-1=26[/tex] (Substitution property of equality)

Add 1 on both sides.

[tex]3x-1+1=26+1[/tex] (Addition property of equality)

[tex]3x=27[/tex]

Divide both sides by 3.

[tex]x=9[/tex] (Division property of equality)

Hence proved.

The required equation for box 1 is 3x=27.

Therefore the correct option is 3.

What is 0.61 repeating as a fraction and how did you get the answer

Answers

61/100, because if it is 0.(value) than it is value / 100 assuming value is 2 digits long. We cannot simplify it further because 61 is prime number.

Answer:

the answer is 61/99

Step-by-step explanation:

Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?

Answers

This can have two scenarios: Angle J is the vertex and angle K is one of the base angles, or angle K is the vertex and angle J is one of the base angles. We can check this easily by seeing if they add up to 180.

Checking if the base angle is 72, we see that it fits, because 36+2(72)=180. Thus, the two base angles are angles J and L. Angle L is 72°.

Hope this helped!

Answer:

b.) Angle L is a base angle and measures 72°.

Step-by-step explanation:

Classify each pair of numbered angles.

Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.

Adjacent

Linear Pair

Vertical

None

Answers

Adjacent angles are angles with a common side and vertex, linear pairs are adjacent angles that are supplementary, and vertical angles are angles made by the same two lines but on opposite sides.

For the first one, 5 and 6 clearly do not share a side but they are made up by the same 2 lines and are opposite of each other, making them vertical.

For the next one, since the angles only share 1 line (and not a side) they can't be any of the above.

The paired numbered angles can be classified as follows:

<5 and <6 are vertical angles

<1 and <2 are none (not vertical, not adjacent, not a linear pair)

Recall the following:

Adjacent angles share a corner and a common side, but do not overlap.Linear pairs are two angles that are adjacent to each other along a straight line.Vertical angles share a common vertex but are not adjacent to each other.

Therefore, from the above stated facts, we can conclude that:

<5 and <6 are vertical angles

<1 and <2 are none (not vertical, not adjacent, not a linear pair)

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write an expression of the product of 6 and Q

Answers

6q= (7q+2q)\3 x 2
6q= 9q\3 x 2
6q= 3q x 2
6q=6q

There are 4680 gym members in total. 3 8 are aged 25 - 59 years, 2 5 are over 60 years and the remainder are under 25 years. How many members are under 25 years?

Answers

4680-38-25=4617members

4680-(38+25)=4620 Add up those above 25 years and subtract the sum from total number of gym members

Chris needs a graphing calculator for math class. He finds a $60 model on sale for 15% off. If he decides to buy this calculator, how much will the sale price be?

Answers

The answer would 51

The answer would be 51

the average adult horse needs 2/5 bale of hay each day to me dietary recommends. Oh horse farm has 44 bales of hay. How many horses can be found in one day with 44 bales of hay?

Answers

110 horses can be found in one day with 44 bales of hay. If each horse needs 2/5 bales of hay each day, just convert 2/5 into a decimal (0.4) and divide 44 by 0.4 to get 110. (That's a lot of horses!)

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