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3 years ago

What is the value of the expression (3a-b)/(6(b+a)) when a = 5 and b = -3? Show your work to support your answer

Mathematics

2 answers:

Alex777 [14]3 years ago

8 0

Answer:

-3

Step-by-step explanation:

So you have $\frac{3a-b}{b(b+a)}$ , and with the numbers plugged in, it's $\frac{3(5)+(-3)}{-3(-3+5)}$ . Solve this and you get $\frac{18}{-6}$ . When it's simplifyed, you have $\frac{-3}{-1}$ , which is -3.

Strike441 [17]3 years ago

5 0

Answer:

it would be 25 because...

Step-by-step explanation:

a+b=5 ...(1) and 3a+2b=20 ...(2)

Multiplying (1) by 2 and subtracting from (2), we get : a=10.

Putting a=10 in (1), we get : b=-5

Therefore, (3a+b) = 3 x 10+(-5)=30-5=25.

no promblem

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Suppose you deposit $600 into an account that pays 5% annual interest, compounded continuously. How much will you have in the ac

Sever21 [200]

Answer:

D)$732.84

Step-by-step explanation:

A=p(1+r/n)^nt

P=principal=$600

r=5%=0.05

t=4 years

n=12 months

A=p(1+r/n)^nt

=600(1+0.05/12)^12*4

=600(1+0.0041666666666 )^48

=600(1.0041666666666 )^48

=600( 1.2208953550215 )

=732.53

A=$732.53

Option D)$732.84 is the answer

6 0

3 years ago

6) (after 2.3) Consider the infinite system of linear equations in two variables given by ax + by = 0 where (a, b) moves along t

Paraphin [41]

Answer:

Step-by-step explanation:

Given infinite system of linear equations is ax + by = 0

when (a,b) moves along unit circle in plane.

a) system having unique system (0, 0)

Since two of equation in thus system will be

$1.x+0.y=0\\x=0$

and

$0.x+1.y=0\\y=0$

It is clear that x = 0, y= 0 is the only solution

b) Linear independent solution in this system gives some set of solutions

$1.x+0.y=0\\\x=0$

and

$0.x+1.y=0\\y=0$

Vector form is

$\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I$

c) for this equation if add 0x +0y = 0 to system , Nothing will change

Because [0,0] satisfies that equation

d) If one of the equation is ax + by = 0.00001

where 0.00001 is small positive number

so, the system will be inconsistent

Therefore, the system will have no solution.

6 0

3 years ago

A window frame has a length of (5x + 3) inches and a width of (x + 6) inches. The area of the glass in the window is (4x² + 26x

vfiekz [6]

the area (A ) of the trim is the area of the window frame subtract the area of glass

area of window frame = (5x + 3)(x + 6) = 5x² + 33x + 18

A = 5x² + 33x + 18 - (4x² + 26x + 15)

= 5x^2 + 33x + 18 - 4x² - 26x - 15 = x² +7x + 3 inches²

6 0

3 years ago

Read 2 more answers

El resultado de 20 +(-60)-40 es

andrew-mc [135]

Answer:

-80

Step-by-step explanation:

20 +(-60) -40 = x

20 -60 -40 = x

20 -100 = x

-80 = x

El resultado es -80, espero que te haya ayudado :)

6 0

3 years ago

What is 4,712 rounded to the nearest thousand

Sliva [168]

Answer:

5,000

Step-by-step explanation:

the thousand's place in 4,712 is "4". You look at the number right after it, if it is less than 5, you don't change the thousands place, if it is equal or more than five you add 1 (so in this case 7 >= 5, so you add 1 to 4).

5 0

3 years ago