MATHEMATICS HIGH SCHOOL

Factor completely 16x2 + 40x + 25.(4x − 5)(4x − 5)

(2x − 5)(2x − 5)

(2x + 5)(2x + 5)

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

Answers

Answer 1

Answer:

Answer:

The factors are : $(4x+5)(4x+5)$

Step-by-step explanation:

The given expression is :

$16x^(2) +40x+25$

Re writing the equation :

$4^(2)x^(2) +40x+5^(2)$

Applying the rule $a^(x) b^(x) =(ab)^(x)$

$(4x)^(2) +40x+5^(2)$

Re write 40x as 2.4x.5

$(4x)^(2) + 2*4x*5+5^(2)$

Applying perfect square formula:

$(a+b)^(2)=a^(2) +2ab+b^(2)$

where a = 4x and b = 5

So, the factors become : $(4x+5)^(2)$

or $(4x+5)(4x+5)$

Answer 2

Answer: Hello,

16x²+40x+25=(4x+5)²
Answer 4

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Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute. Which of the following piecewise functions represents charges based on Andrew's cell phone plan?

Answers

Answer:

$f(x)=\left\{\begin{array}{l}19,\ \ x\le 300\n \n19+0.39(x-300),\ \ x>300\end{array}\right.$

Step-by-step explanation:

Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute.

Let x be the number of minutes Andrew uses per month and f(x) be the charges based on Andrew's cell phone plan.

If $x\le 300,$ then $f(x)=19.$

If $x>300,$ then first 300 minutes are free and each minute of next (x-300) minutes costs $0.39, therefore

$f(x)=19+0.39(x-300).$

Hence,

$f(x)=\left\{\begin{array}{l}19,\ \ x\le 300\n \n19+0.39(x-300),\ \ x>300\end{array}\right.$

Answer:

19, x≤ 300

19+.39(x-300), x>300

Step-by-step explanation:

I just did this quiz

-3=h+8 divided by 2 (HELP)

Answers

If whole right side divided by 2

-3=h+8 divided by 2
Divide right side 2
-3=h/2+4
Subtract 4 from both sides
-7=h/2
Multiply 2 on both sides
Final Answer: -3.5=h

If only the 8 is divided by 2

-3=h+8 divided by 2
Divide 8 by 2
-3=h+4
Subtract 4 from both sides
Final Answer: -7=h

If it is the answer of the left side divided by two the answer is -11/8. If it is 8 divided by then the answer is -7

Use long division to find the quotient below.
(4x² - 7x-2) + (x-2)