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Amanda [17]
3 years ago
13

Using arithmetic operations, rewrite this polynomial in standard, simplest form. (3x2 + 9x + 6) − (8x2 + 3x − 10) + (2x + 4)(3x

− 7)
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

x∧2+4x-16

Step-by-step explanation:


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Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes, and 20 pages in 30 minutes. I’d this a proportional relat
Alex73 [517]

Answer:

Y= 1.5x

Step-by-step explanation:

What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)

I hope this will help

4 0
3 years ago
A rectangular parcel of land has an area of 6,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o
Drupady [299]

Answer:

50ft by 120ft

Step-by-step explanation:

Area of a rectangle = L × W

6000ft² = L × W

L = 6000/W

When a diagonal line divides a rectangle into 2 right angled triangles, the diagonal line = Hypotenuse of either of the triangle and it is the longest side.

The formula for a right angle triangle =

a² + b² = c²( c = hypotenuse)

We are told in the question that:

A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel

Let us assume the side that the hypotenuse is longer than = Width

Hence, the Diagonal = (W + 10)²

Therefore

L² + W² = (W + 10)²

Since L = 6000/W

W² + (6000/W)² = (W + 10)²

W² + (6000/W)² = (W + 10) (W + 10)

W² + (6000/W)² = W² + 10W + 10W + 100

W² + (6000/W)² = W² + 20W + 100

W² - W² + (6000/W)² = 20W+ 100

6000²/W² = 20W + 100

6000² = W²( 20W + 100)

6000² = 20W³ + 100W²

20W³ + 100W² - 6000² = 0

20W³ + 100W² - 36000000 = 0

20(W³ + 5W² - 1800000) = 0

Factorising the quadratic equation,

20(W − 120)(W² + 125W + 15000) = 0

W - 120 = 0

W = 120

Therefore,

W(Width) = 120feet

Since the Width = 120 feet

We can find the length

6000ft² = L × W

L = 6000/W

L = 6000/120

L = 50 feet

The dimensions of the land, correct to the nearest foot is 50ft by 120ft

3 0
3 years ago
Circle the expression(s) that give the same product as 6 x 3/8.
34kurt

Answer:

(6 × 3) divided by 8 and 3/8 × 6

Step-by-step explanation:

if you solve 6 × 3/8 you should get 18/8 which then simplifies to 9/4. if you go though each answer choice solving each problem you should get 9/4 and if you dont then that is not the answer. the first 2 answer choices equal 16 which is not 9/4 and the 4th answer choice will give you 4 and 6 × 8/3 gives you 48/3 which gives you 16 so only the 3rd and last answer choices are correct

7 0
3 years ago
Select the two figures that are similar to the 2 2 by 6 6 figure that is shown.
MArishka [77]

prime1

/prīm/

Learn to pronounce

See definitions in:

All

Mathematics

Religion

Printing

Fencing

Weapons

Building

Mechanics

Motoring

Biochemistry

adjective

1.

of first importance; main.

"her prime concern is the well-being of the patient"

Similar:

main

chief

key

primary

central

principal

foremost

first

most important

paramount

major

dominant

supreme

overriding

cardinal

preeminent

ultimate

number-one

fundamental

basic

essential

elemental

vital

Opposite:

secondary

subordinate

2.

of the best possible quality; excellent.

"prime cuts of meat"

Similar:

top-quality

highest quality

top

top-tier

best

first-class

first-rate

high-grade

grade A

superior

supreme

flawless

choice

select

finest

superlative

peak

optimal

model

excellent

marvelous

magnificent

superb

fine

wonderful

exceptional

formidable

top of the range

top of the line

tip-top

A1

stellar

top-notch

Opposite:

inferior

noun

1.

a state or time of greatest strength, vigor, or success in a person's life.

"you're in the prime of life"

Similar:

heyday

best days/years

day

time

prime of one's life

maturity

youth

springtime

salad days

bloom

flowering

full flowering

perfection

peak

pinnacle

height

high point/spot

zenith

ascendancy

2.

CHRISTIAN CHURCH

a service forming part of the Divine Office, traditionally said (or chanted) at the first hour of the day (i.e., 6 a.m.), but now little used.

4 0
3 years ago
HELP PLEASE!!!!!!! This is due tomorrow. 20 points for this.
gogolik [260]

Answer:

x=16.75 y=4.5

Step-by-step explanation:

first turn the first trapezoid sideways so the side that says 8 matches with the side that says 10. This is the proportion. 8:10. The bottom of the first trapezoid says x+2. This matches with the side that says 15. Because the side that says 15 is on the bigger trapezoid, multiply by ten. Then multiply the other trapezoid by 8. We get an equation that looks like. 8x+16=150 Simplify and 8x=134 divide and we get x=16.75. Do the same for the side with y. 8y-24=50. 8y=36 y=4.5. There you have it.

5 0
3 years ago
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