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2 years ago

(x - 3)(2x + 1)(Ax + 1) = 8x? + Bx? + Cx - 3

Mathematics

1 answer:

mariarad [96]2 years ago

3 0

Answer:

Please refer the below attachments.

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PLASE ANSWER THIS QUESTION I GIVE YOU 18 POINTS

sukhopar [10]

Answer:

(a) 144

(b) 117

(d) 588

(e) 5472

Step-by-step explanation:

To find the LCM of two numbers, first find the prime factorization of each number. Then the LCM is the product of common and not common factors with the larger exponent.

(a)

$72 = 2^3 \times 3^2$

$144 = 2^4 \times 3^2$

$LCM = 2^4 \times 3^2 = 8 \times 9 = 144$

(b)

$39 = 3 \times 13$

$117 = 3^2 \times 13$

$LCM = 3^2 \times 13 = 117$

(c)

$72 = 2^3 \times 3^2$

$90 = 2 \times 3^2 \times 5$

$LCM = 2^3 \times 3^2 \times 5 = 360$

(d)

$84 = 2^2 \times 3 \times 7$

$147 = 3 \times 7^2$

$LCM = 2^2 \times 3 \times 7^2 = 588$

(e)

$152 = 2^3 \times 19$

$288 = 2^5 \times 3^2$

$LCM = 2^5 \times 3^2 \times 19 = 5472$

6 0

2 years ago

Which expressions are equivalent to the one below? Check all that apply. 21^x/3^x

satela [25.4K]

Answer:

<em>options: A,C,E </em>are correct.

Step-by-step explanation:

We have to find the expression equivalent to the expression:

$\dfrac{21^x}{3^x}$

we know that: $21^x=(3\times7)^x\\\\21^x=3^x\times7^x$

Hence,

$\dfrac{21^x}{3^x}=\dfrac{3^x\times7^x}{3^x}=7^x$ -----(1)

A) $(\dfrac{21}{3})^x= 7^x$ (same as(1))

Hence, option A is correct.

B) 7 ; which is a different expression from (1)

Option B is incorrect.

C) $7^x$ (Same as (1))

Option C is correct.

D) $(21-3)^x=18^x$ which is a different expression from (1)

Hence, option D is incorrect.

E) $\dfrac{7^x\times3^x}{3^x}=7^x$ ; which is same as (1)

Hence, Option E is correct.

F) $3^x$ ; which is not same as expression (1)

Hence, option F is incorrect.

5 0

3 years ago

Read 2 more answers

Can someone help me?

Tju [1.3M]

Answer:

Step-by-step explanation:

in table B if x = 1 y cannot equal both 1 and -1

no function can have x equal to two or more unique y's

7 0

3 years ago

Express the rate 50 yards per minute in feet per second

FrozenT [24]

   (50 yards/minute) x (3 feet/yard) x (1 minute / 60 seconds)

   = (50 · 3 · 1 / 60) (yard-feet-minute) / (minute-yard-second)

   =    2.5 feet/second .

3 0

3 years ago

Read 2 more answers

I need to a paint a spherical storage tank in the pool. it has a radius of 8 feet and the paint cans i brought will cover 75 squ

Alexxandr [17]

<h3>Answer: 11 cans</h3>

======================================================

Explanation:

SA = surface area of the sphere

SA = 4*pi*r^2

SA = 4*pi*8^2

SA = 804.247719

The surface area is roughly 804.247719 sq ft.

I used the calculator's stored version of pi to get the most accuracy possible.

Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.

804.247719/75 = 10.72330292

Round up to the nearest integer to get 11

You'll have leftover paint, but it's better to go over the goal than come up short.

8 0

2 years ago