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charle [14.2K]
3 years ago
5

Please help ! solve for x A) 27 B) 2 C) 8 D) 12

Mathematics
1 answer:
diamong [38]3 years ago
3 0

Answer:

I think its 2 but Idk how to show work sorry

Step-by-step explanation:

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Prove: The square of a number that is two more than a multiple of 3 is one more than a multiple of 3.
xeze [42]

Answer:

<u>To prove:</u>

  • (3x + 2)² is  3y + 1

<u>Expand the square:</u>

  • 9x² + 6x + 4 = (9x² + 6x + 3) + 1 = 3(3x² + 2x + 1)  + 1 = 3y + 1
  • Proven
8 0
3 years ago
Karen Gaines invested $12,000 in a money market account with an interest rate of 2.25% compounded semiannually. Six years later,
deff fn [24]

Answer:

$13,724

Step-by-step explanation:

From the above question, we are given the following values:

Principal = P = $12,000

Interest = r = 2.25% = 0.0225

Compounded semi annually = n = 2

Time (t) = 6 years

From the question, we understand that we are to find the total (full) Amount Karen withdrew.

The formula to use to calculate the Total Amount of money given that this is a compound interest question is:

Total(full) Amount = P( 1 + r/n) ^n/t

= $12,000( 1 + 0.0225/2) ^2×6

= $12,000(1.01125)^12

= $13724.093289

Approximately to the nearest cent

≈ $13,724

Therefore, Karen withdrew $13,724 from the account.

8 0
3 years ago
Read 2 more answers
John drives at an average speed of 40 miles per hour for the first 5 hours of the 655 mile trip to buffalo. Charlie then drives
Elodia [21]
65mph

John drove a total of 200 miles (40mph•5)
655-200= 455 miles
Charlie drove this in seven hours, and 455mi/7hours = 65mph
5 0
3 years ago
PLEASE HELP I PUT THE PROBLEM AS A PICTURE PLEASE ANSWER WILL GIVE 30 POINTS SHOW WORK
dem82 [27]

Answer:

\huge\boxed{9}

Step-by-step explanation:

\sf (2^8 * 3^{-5} * 6^0)^{-2 } (\frac{3^{-2}}{2^3} )^4*2^{28}

Rule of exponents a^0 = 1 , 1/a^m = a^{-m}

=> \sf 2^{8*-2} * 3 ^{-5*-2} * 3 ^{-2}* 2^{-3*4} * 2^{28}

=> \sf 2 ^ {-16} * 3^{10} * 3^{-8} * 2 ^{-12}* 2^{28}

Combining same bases

=> \sf 2 ^ {-16} * 2 ^{-12}* 2^{28}* 3^{10} * 3^{-8}

When bases are same , powers are to be added

=> \sf 2 ^{-16-12+28} * 3^{10-8}

=> \sf 2^{-28+28} * 3^2

=> \sf 2^0 * 3^2

=> \sf 3^2

=> 9

8 0
3 years ago
Given the function f(x) = x3 + 2x2 − 3x − 5, what is the resulting function when f(x) is shifted to the right 1 unit? f(x + 1) =
xz_007 [3.2K]
When a function is shifted to the right by 1 unit it is moved towards the negative side so we would be adding -1 to the value of x. The function f(x) would be f(x-1). To determine the resulting function, we substitute to the parent function (x-1) to x. We do as follows:

<span>f (x) = x^3 + 2x^2 − 3x − 5
</span>f (x-1) = (x-1)^3 + 2(x-1)^2 − 3(x-1) − 5
f (x-1) = x^3 - 3x^2 + 3x - 1 + 2(x^2 - 2x + 1) - 3x + 3 - 5
f (x-1) = x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5
f (x-1) = <span>x^3 - x^2 - 4x - 1 

Therefore, the correct answer is the last option.</span>
5 0
3 years ago
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