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Masja [62]
3 years ago
13

(16x2 - 25) ÷ (4x + 5) (its dividing polynomials)

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

4x-5, x= 5/4

Step-by-step explanation:

Basically factor the top part and see if you cancel bottom!

16x^2 -25 , you'll realize it's a difference of squares,

Hence, factored form would be like this:

(4x+5)(4x-5)

Hence, (4x+5) cancels out and your answer is 4x-5

x= 5/4

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

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Samir is trying to decide between two checking account plans. After researching plans at two banks, he finds that Unity Bank off
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Answer:

The monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

Step-by-step explanation:

<em>Step 1 : Write the formula for calculating a monthly compound interest rate and for calculating an annually compounded interest rate.</em>

Monthly compound interest rate = P(1+r/n)^nxt

<em>n=12 (number of months in a year)</em>

<em>t=1 (number of years)</em>

Annually compound interest rate = P(1+r/n)^nxt

<em>n=1 (because it is for 1 year only)</em>

<em>t=1 (number of years=1)</em>

<em>Step 2 : Lets assume that P is $100 in both banks and time is 1 year.</em>

<em>Step 3 : Lets substitute the values to find out which one is better.</em>

Monthly compound interest rate = P(1+r/n)^nxt

Monthly compound interest rate = 100(1+0.14/12)^12x1

Monthly compound interest rate = 114.93

114.93 - 100 = $14.93 per month

14.93 x 12 = $179.16 for 12 months or 1 year

Annually compound interest rate = P(1+r/n)^nxt

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Therefore, the monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

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Answer:

The first choice, (-\infty, 7) \cup (7, \infty).

Step-by-step explanation:

The dashed vertical line is a vertical asymptote. The x-coordinate of all points on this vertical asymptote are equal to 7. In other words, when the x-value of a point on the graph approaches 7, its y-value approaches infinity (or negative infinity.)

Either way, the graph is not defined for x = 7. The point 7 should thus be excluded from the domain of the graph.

The graph is apparently defined for all other x-values. The domain of the function should thus be all real numbers with the exception of x = 7. Here's how to write that in interval notation:

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  • The set of all real numbers less than (not equal to) 7 is (-\infty,7 ) (both ends are excluded.) The set of all real numbers greater than (not equal to) 7 is (7, \infty).
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In other words, the domain is (-\infty, 7) \cup (7, \infty).

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