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3 years ago

Factor this equation.

Mathematics

1 answer:

vichka [17]3 years ago

6 0

8x⁵ + 4x² - 12

All numbers are divisible by 4, so we put 4 on the outside of the parenthesis.

So, when doing that, all you have to do is divide everything by 4.

4(2x⁵ + x² - 3)

So, your answer is the first answer choice.

~Hope I helped!~

(If this was a little bit confusing, please make sure to message me, or comment!)

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What is the value of f?

laiz [17]

Answer:

f(1/2) = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 8x - 6

f(1/2) is x = 1/2

Step 2: Evaluate

Substitute in x: f(1/2) = 8(1/2) - 6
Multiply: f(1/2) = 4 - 6
Subtract: f(1/2) = -2

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3 years ago

A six-sided polygon is shown with sides labeled 12 cm, 10 cm, 10 cm, 8 cm, 6 cm, and 3 cm.

Pani-rosa [81]

Answer:

49cm^2

Step-by-step explanation:

The perimeter is just a continuous line which forms the boundaries of a geometric figure.

The perimeter is just all the sides added up.

12cm+10cm+10cm+8cm+6cm+3cm = 49cm^2

3 0

3 years ago

What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area

velikii [3]

Answer:

Cross section is a rectangle.

Area of cross section = 16 sqrt(2) = 22.63 sq. units (to 2 decimals)

Step-by-step explanation:

Given a cube.

top face ABCD is parallel and congruent to bottom face EFGH ........(1)

justified by the properties of cubes

Sides AE and CH are perpendicular to faces ABCD and EFGH ..........(2)

justified by the properties of cubes

Diagonals AC and EH are congruent ......................(3)

justified by (1), congruent top and bottom faces

Consider cross-section ACHE

AC is congruent and parallel to EH (1) & (3)

EA & HC are perpendicular to AC (2)

Therefore the quadrilateral ACHE is a rectangle.

Length of diagonal AC = sqrt(4^2+4^2) = 4 sqrt(2) ..........pythagoras theorem

AE = CH = DG = 4 properties of cube, all sides equal

Area of ACHE = 4* 4sqrt(2) = 16 sqrt(2) = 22.63 sq. units

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3 years ago

The conversion of ammonium cyanide to urea is a second-order reaction. This means that the concentration C of ammonium cyanide a

sergejj [24]

Answer:

your answer could be A

Step-by-step explanation:

6 0

3 years ago

A man buys a certain number of Litchies at 20 per rupee and equal number at 30 per rupee. He

ANTONII [103]

Full question :

A man buys a certain number of oranges at 20 for Rs. 60 and an equal number at 30 for Rs. 60. He mixes them and sells them at 25 for Rs. 60. What is the gain or loss percent?

Answer:

4% loss(percentage loss on cost price)

Step-by-step explanation:

we will be employing algebra in solving this problem :

20 oranges at 60 Rs=60Rs/20 per orange=3Rs per orange

Say x oranges bought at 3Rs per orange=3Rsx

Equal number of oranges at 30 oranges for 60 Rs=60Rs/30 per orange=2Rs per orange

Say x oranges bought at 3Rs per orange=2Rsx

Total Cost Price = 3Rsx + 2Rsx = 5Rsx

He then sells all oranges at 25 for 60 Rs

Therefore price per orange=60/25=12/5Rs

since he sold x+x oranges(from the above calculations)

Total selling price=total oranges *12/5Rs=2x oranges*12/5Rs=24x/5Rs

Profit or loss=24x/5-5x=-x/5

therefore we have a loss =-x/5

Percentage of loss(on cost price)

=x/5÷5x∗100=

=1/25∗100=4%

5 0

3 years ago