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Ugo [173]
2 years ago
8

4+5

rac{x}{y} 3x^{2} - 3x^{2}" alt="4+5\frac{x}{y} 3x^{2} - 3x^{2}" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Ronch [10]2 years ago
5 0

Answer:

58 +  \frac{ {15x}^{3} }{y}  -  {3x}^{2}

Step-by-step explanation:

1) Use this rule: a/b × c/d = ac/bd.

4 + 54 +  \frac{5x \times  {3x}^{2} }{y}  -  {3x}^{2}

2) Take out the constants.

4+54 +  \frac{(5 \times 3) {xx}^{2} }{y}  -  {3x}^{2}

3) Simplify 5 × 3 to 15.

4 + 54 +  \frac{ {15xx}^{2} }{y}  -  {3x}^{2}

4) Use the product rule: x^a x^b = x^a + b.

4 + 54 +  \frac{15xx^{2} }{y}  - 3x^{2}

5) Simplify 1 + 2 to 3.

4 + 54 +  \frac{15 {x}^{3} }{y}  -  {3x}^{2}

6) Collect like terms.

(4 + 54) +  \frac{15 {x}^{3} }{y}  -  {3x}^{2}

7) Simplify.

58 + \frac{ {15x}^{3} }{y}  -  {3x}^{2}

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>58</u><u> </u><u>+</u><u> </u><u>15x</u><u>³</u><u> </u><u>/</u><u> </u><u>y</u><u> </u><u>-</u><u> </u><u>3x</u><u>²</u>.

evablogger [386]2 years ago
3 0
DONT TRUST LINKS ! They not even helping you
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If f(x) = 5^x2 - 3 and g(x) = x2 - 4x - 8, find (f - g)(x).
kkurt [141]

Answer:

4x² + 4x + 5

Step-by-step explanation:

Note that (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 5x² - 3 - (x² - 4x - 8 ) ← distribute parenthesis by - 1

= 5x² - 3 - x² + 4x + 8 ← collect like terms

= 4x² + 4x + 5

3 0
3 years ago
Determine if (-1,9) and (-2,6) are solutions to the system of equations: x + y = 8 x2 + y = 10 A) Both are solutions B) Neither
Dahasolnce [82]

Answer:

D) Only (-1,9) is a solution.

Step-by-step explanation:

x+y =8

x^2 + y = 10

Lets check the first point (-1,9)

Put in x =-1 y =9

x+y =8

-1+9 = 8

8 =8

This works

x^2 + y = 10

(-1)^2 +9 =10

1+9 = 10

10 = 10

This works

Lets check the second point (-2,6)

Put in x =-2 y =6

x+y =8

-2+6 = 8

4=8

This  does not work

We can stop now.  (-2,6) cannot be a solution

7 0
3 years ago
A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma
Gnoma [55]

Answer:

The  value  is  C \approx \$76

Step-by-step explanation:

From the question we are told that

   The  area of the rectangular pen is  A =  24 \ yard^2

     The  cost of material used to make one side is  z = \$ 6

    The  cost of material used to make the other sides is  r  =  \$ 3

Now  , the fence to be build around the rectangular pen  has four sides, the first opposite sides are equal, let assume each of the to be x yard   and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

       C =  zx  +  r (x + 2y )

=>   C =  6x  +  3(x + 2y)

=>   C =   9x  +  6y

Now the area of the fence is mathematically represented as

      A =  x* y =  24

=>    y  =  \frac{24}{x}

=>  C =   9x  +  6[\frac{24}{x} ]

=>   C =   9x  +  [\frac{144}{x} ]

Now differentiating

     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

So  

     9 - 288x^{-2} =  0

     x^{-2} =  0.03125

    x =  \sqrt{\frac{1}{0.03125} }

    x =  5.66

Now substituting for x in the equation above to obtain minimum cost

       C =   9(5.66)  +  [\frac{144}{5.66} ]

       C \approx \$76

   

 

8 0
3 years ago
Can someone help me with this one
rewona [7]
4 over 5 or y=4/5x+0
5 0
3 years ago
Name That Meme!<br> -70 Points Correct answer get Brainiest
TEA [102]

Answer:

BINGUSSSSSSSS

Step-by-step explanation:

UwU

8 0
3 years ago
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