Simplify 3a2 + 5ab - 4ab +ab2 +8a2b

What is the solution to the equation4x-6=10x-3 ?

shepuryov [24]

Answer:

-1/2 dont forget the negative!!!

Step-by-step explanation:

pull out like terms

5 0

3 years ago

-7h+3(4-6h)=127 is h= 25?

GREYUIT [131]

Answer:

No, h = (-23)/5

Step-by-step explanation:

Solve for h:

3 (4 - 6 h) - 7 h = 127

3 (4 - 6 h) = 12 - 18 h:

12 - 18 h - 7 h = 127

-18 h - 7 h = -25 h:

-25 h + 12 = 127

Subtract 12 from both sides:

(12 - 12) - 25 h = 127 - 12

12 - 12 = 0:

-25 h = 127 - 12

127 - 12 = 115:

-25 h = 115

Divide both sides of -25 h = 115 by -25:

(-25 h)/(-25) = 115/(-25)

(-25)/(-25) = 1:

h = 115/(-25)

The gcd of 115 and -25 is 5, so 115/(-25) = (5×23)/(5 (-5)) = 5/5×23/(-5) = 23/(-5):

h = 23/(-5)

Multiply numerator and denominator of 23/(-5) by -1:

Answer: h = (-23)/5

4 0

3 years ago

Write the partial fraction decomposition fro the ration expression below

zlopas [31]

$\dfrac{5x-2}{(x-1)^2}=\dfrac a{x-1}+\dfrac b{(x-1)^2}$
$5x-2=a(x-1)+b$

Since $5x-2=5x-5+3=5(x-1)+3$ , it follows that $a=5$ and $b=3$ , so

$\dfrac{5x-2}{(x-1)^2}=\dfrac5{x-1}+\dfrac3{(x-1)^2}$

$\dfrac{x^3+x^2+x+2}{x^4+x^2}=\dfrac{x^3+x+x+2}{x^2(x^2+1)}=\dfrac ax+\dfrac b{x^2}+\dfrac{cx+d}{x^2+1}$
$x^3+x^2+x+2=ax(x^2+1)+b(x^2+1)+(cx+d)x^2$
$x^3+x^2+x+2=(a+c)x^3+(b+d)x^2+ax+b$

When $x=0$ , you find that $b=2$ . It's also clear that $a=1$ . So the remaining constants must be $1+c=1\implies c=0$ and $2+d=1\implies d=-1$ , and so you get

$\dfrac{x^3+x^2+x+2}{x^4+x^2}=\dfrac1x+\dfrac2{x^2}-\dfrac1{x^2+1}$

6 0

4 years ago

A jewelry store has 311.75 ounces of 14-carat gold in stock.

WARRIOR [948]

Answer:

$\boxed{\text{(a) 86 necklaces; (b) \$2220}}$

Step-by-step explanation:

(a) Number of necklaces

3⁵/₈ = 3.625

$\text{No. of necklaces} = 311.75\text{ oz} \times \dfrac{\text{1 necklace}}{3.625\text{ oz}} = \textbf{ 86 necklaces}\\\\\text{You can make } \boxed{\textbf{86 necklaces}} \text{ from 311.75 oz of 14K gold}$

(b) Value of gold in each necklace

There are 3.625 oz of 14K gold in each necklace. Pure gold is 24K.

$\text{Mass of pure gold} = \text{3.625 oz} \times \dfrac{\text{14K}}{\text{24K}} = \text{2.1146 oz}$

Pure 24K gold is worth $1050/oz.

$\text{Value of pure gold} = \text{2.1146 oz} \times \dfrac{\text{\$1050}}{\text{1 oz}} = \textbf{\$2220}\\\\\text{The value of the gold in each necklace is } \boxed{\textbf{\$2220}}$

4 0

3 years ago

Which answer choice shows the correct width and length of a rectangle with a perimeter of 220 inches?

stepladder [879]

Answer:

Ur answer will be D. Length: 50 in.; Width: 60 in.

Step-by-step explanation:

Just add all of them and then do the answer times 2.

Work:

A.

62 + 40 = 112

112 x 2 = 204

B.

20 + 11 = 31

31 x 2 = 62

C.

10 + 20 = 30

30 x 2 = 60

D.

60 + 50 = 110

110 x 2 = 220

Hope this helps! Brainliest plz?

4 0

3 years ago

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Simplify 3a2 + 5ab - 4ab +ab2 +8a2b￼

Simplify 3a2 + 5ab - 4ab +ab2 +8a2b