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g100num [7]
3 years ago
9

Help FAST

Mathematics
1 answer:
zalisa [80]3 years ago
5 0

Answer:

9a^2-4b^2 is the correct answer.

Step-by-step explanation:

Difference of squares can be written as a^2 - b^2. This is equal to (a - b)(a + b)

In your answers, we see, 9a^2 - 4b^2. They are subtracting which is correct. 9 and 4 can also be rooted. 9 to 3 and 4 to 2 so

9a^2-4b^2 can be written as (3a-2b)(3a+2b)

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A principal of $4700 was invested at 4.75% interest, compounded annually.
Kitty [74]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

y = P(1 + r/n)^nt

Where

y = the value of the investment at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested

From the information given,

P = $4700

r = 4.75% = 4.75/100 = 0.0475

n = 1 because it was compounded once in a year.

Therefore, the exponential function showing the relationship between y and t is

y = 4700(1 + 0.0475/1)^1 × t

y = 4700(1.0475)^t

7 0
3 years ago
PLZZZZ HELP! WILL GIVE BRAINLIEST:Use the Pythagorean theorem to solve this, must show work.
Paraphin [41]

9514 1404 393

Answer:

  ? = √87 ≈ 9.33

Step-by-step explanation:

The square of the hypotenuse (h) of the small triangle is the sum of the squares of its legs.

  h^2 = 5^2 + 12^2 = 25 +144 = 169

The square of the hypotenuse of the large triangle is also the sum of the squares of its legs.

  h^2 +?^2 = 16^2

  169 +?^2 = 256

  ?^2 = 256 -169 = 87

Taking the square root, we find the missing leg length to be ...

  ? = √87 ≈ 9.33

3 0
3 years ago
Which number has an absolute value greater than 4?
pav-90 [236]

Answer:

0

Step-by-step explanation:

Sorry if this doesn't help much and if its wrong, but maybe you could mark this as brainly? Have a wonderful day!

5 0
3 years ago
X³+2x²-15x, x²-7x+12 and 3x²-27 find h.c.f​
RideAnS [48]

Answer:

{x}^{3}  + 2 {x}^{2}  - 15x \\ x( {x}^{2}  + 2x - 15) \\ x( {x}^{2}  + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\  {x}^{2}  -7x + -  12 \\  {x}^{2}  - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x  - 4)(x + 3) \\ 3 {x}^{2}  - 27 \\ 3( {x}^{2}  - 9) \\ 3((x + 3)(x - 3)) \\  \\ the \: hcf \:  = (x + 3)

6 0
2 years ago
Find two positive numbers whose sum is 100 and the sum of whose squares is a minimum.
vfiekz [6]
Let the two required numbers be x and 100 - x, then
Sum of its squares is given by S = x^2 + (100 - x)^2
For the sum of the squares to be minimum, dS/dx = 0

dS/dx = 2x - 2(100 - x) = 0
2x - 200 + 2x = 0
4x = 200
x = 50.

The two numbers is 50 and 50.
4 0
3 years ago
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