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3 years ago

1/3(9x+16+2) + 2x What is X

Mathematics

1 answer:

Flauer [41]3 years ago

3 0

This is the answer if your question

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EXPAND THE POLONOMIAL <br><br> (5a+1/2b)^2 HELPPP ASAP

stepan [7]

Answer:

25 $a^{2}$ +5ab+ $\frac{b^{2} }{4}$

Step-by-step explanation:

$(5a+\frac{1}{2} b)^{2}$

1. First, write out the expression without the square

$(5a+\frac{1}{2} b)(5a+\frac{1}{2} b)$

2. Then use foil to multiply:

5a*5a+5a* $\frac{1}{2}b$ + $\frac{1}{2}b$ *5a+ $\frac{1}{2}b$ * $\frac{1}{2}b$

=25 $a^{2}$ +5ab+ $\frac{b^{2} }{4}$

3. That is your answer.

8 0

3 years ago

1. Ada purchased a house using a fixed rate mortgage. The annual interest rate is 6.3%

vlabodo [156]

The monthly payment on the mortgage is option C) $2537.44

<u>Step-by-step explanation</u>:

Principal (P): $ 295,000
Rate (r): 6.3% = 0.063
Number of times compounded (n): 12months $\times$ 15 years = 180
Number of years = 15

The formula is A = P(1 + r/n)^nt

⇒ A = 295000(1+0.063/180)^(180 $\times$ 15)

⇒ A = 295000(180.063/180)^2700

⇒ A = 295000 (1.00035)^2700

⇒ A = 758854.5

Interest = Amount - Principle

⇒ 758854.5 - 295000

⇒ Interest = 463854.5

∴ The monthly payment for 15 years = 463854.5 / (15 $\times$ 12)

The monthly payment on the mortgage = 2576.9 (approximately option C)

8 0

3 years ago

Camille collects stickers. Her sticker book holds 5 stickers in each row. When a page is full, it holds 65 stickers. How many ro

bezimeni [28]

There are 13 rows because 65 divided by 5 is equal to 13.

5 0

3 years ago

Read 2 more answers

What are the real and complex solutions of the polynomial equation? x^3-8=0. with imaginary numbers

seraphim [82]

Answer:

Solutions are 2, -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i

or 2, -1 + 1.58 i and -1 - 1.58i

(where the last 2 are equal to nearest hundredth).

Step-by-step explanation:

The real solution is x = 2:-

x^3 - 8 = 0

x^3 = 8

x = cube root of 8 = 2

Note that a cubic equation must have a total of 3 roots ( real and complex in this case). We can find the 2 complex roots by using the following identity:-

a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Here a = x and b = 2 so we have

(x - 2)(x^2 + 2x + 4) = 0

To find the complex roots we solve x^2 + 2x + 4 = 0:-

Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2

= -1 +/- (sqrt( -10)) / 2

= -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i

4 0

3 years ago

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In the function y = 1.25x + 5, y represents the cost of a foot of cable and x represents the number of feet. How much does the c

klemol [59]

It increases by B $1.25 every time

7 0

3 years ago

Read 2 more answers