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pochemuha
3 years ago
14

What is the surface area of the rectangular prism formed from this net?

Mathematics
1 answer:
Reika [66]3 years ago
6 0
E is the answer to this question
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What is the product? 6 (x squared minus 1) times StartFraction 6 x minus 1 Over 6 (x + 1) EndFraction 6(x – 1)2 6(x2 – 1) (x + 1
vfiekz [6]

Option D: (6x-1)(x-1) is the product of the expression

Explanation:

The expression is 6(x^{2} -1)\times\frac{6x-1}{6(x+1)}

We need to determine the product of the expression.

To determine the product of the expression, we need to simplify the given expression.

Thus, we have,

6(x^{2} -1^2)\times\frac{6x-1}{6(x+1)}

The term (x^{2} -1^2) is of the form a^2-b^2

Now, we shall use the identity, a^2-b^2=(a+b)(a-b)

Hence, we have,

6(x+1)(x-1)\times\frac{6(x-1)}{6(x+1)}

Multiplying the terms and cancelling the common terms, we get,

(x-1)\times({6x-1})

Hence, the product of the given expression is (6x-1)(x-1)

Therefore, Option D is the correct answer.

8 0
3 years ago
Read 2 more answers
Consider the expansion of (5p + 2q)^6. Determine the coefficients for the terms with the powers of p and q shown.
Step2247 [10]

Answer:

Remember, the expansion of (x+y)^n is (x+y)^n=\sum_{k=0}^n \binom{n}{k}x^{n-k}y^k, where \binom{n}{k}=\frac{n!}{(n-k)!k!}.

Then,

(5p+2q)^6=\sum_{k=0}^6\binom{6}{k}(5p)^{6-k}(2q)^k=\sum_{k=0}^6\binom{6}{k}5^{6-k}2^k p^{6-k}q^k

Then, the coefficient of the term p^{6-k}q^k is \binom{6}{k}5^{6-k}2^k

a) since 6-k=2, then k=4. So the coefficient of p^2q^4 is

\binom{6}{4}5^{6-4}2^4=15*5^2*2^4=15*25*16=6000

b) since 6-k=5, then k=1. So, the coefficient of p^5q is

\binom{6}{1}5^{6-1}2^1=6*5^5*2=37500

c) since 6-k=3, then k=3. So, the coefficient of p^3q^3 is

\binom{6}{3}5^{6-3}2^3=20*5^3*8=20000

6 0
3 years ago
The graph of y=2x^2 is transformed into y=-2x^2+3 which of the following situations beat represets the effect of transformation
ZanzabumX [31]

Answer:

See below

Step-by-step explanation:

This is a reflection in the x axis ( the 2 ---> -2) and a translation up of 3 units  (The +3).

8 0
3 years ago
Read 2 more answers
Using the graph, what is one solution to the equation f(x) = g(x)?
ki77a [65]

Answer: 0.5

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

g

f

​  

)(x)=  

4−5x

3x+2  f (2) = 2(2) = 4

g(2) = (2) + 4 = 6

h(2) = 5 – (2)3 = 5 – 8 = –3

Now I can evaluate the listed expressions:

(f + g)(2) = f (2) + g(2)

= 4 + 6 = 10

(h – g)(2) = h(2) – g(2)

= –3 – 6 = –9

(f × h)(2) = f (2) × h(2)

= (4)(–3)= –12

(h / g)(2) = h(2) ÷ g(2)

= –3 ÷ 6 = –0.5

​

Step-by-step explanation:

8 0
3 years ago
30 POINTS!!!!!! PLEASE HELP/WILL MARK BRAINLIEST!! QUICK
Ivanshal [37]

1) 64

2) 1/8

Hope this helps! ;)

4 0
3 years ago
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