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Alik [6]
3 years ago
12

4x^5/2x^2+5=59 please help ​

Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

{ \tt{ \frac{4 {x}^{5} }{2 {x}^{2} + 5 } = 59 }}

Cross multiply the variables:

{ \tt{4 {x}^{5}  = 59(2 {x}^{2}  + 5)}} \\ { \tt{4 {x}^{5}  = 118 {x}^{2}  + 295}} \\ { \tt{4 {x}^{5}  - 118 {x}^{2}  = 295}}

Factorise the equation:

{ \tt{ {x}^{2}(4 {x}^{3}  - 118) = 295 }}

Either x² or ( 4x³ - 118 ) is equal to 295:

For x²:

{ \tt{ {x}^{2}  = 295}} \\ { \tt{first \: answer : \: x =17.2  }}

For ( 4x³ - 118 ):

{ \tt{4 {x}^{3} = 413 }} \\ { \tt{ {x}^{3}  = 103.25}} \\ { \tt{second \: answer : \: x = 4.7 }}

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6 multiplication problems that ar involved in the solving of 325×89​
gogolik [260]

325*89.1

Let's decompose this into:

325 = 300 + 25

89.1 = 80 + 9 + 0.1

Then we have the multiplication:

(300 + 25)*(80 + 9 + 0.1)

Let's distribute the multiplication:

300*80 + 300*9 + 300*0.1 + 25*80 + 25*9 + 25*0.1

So now we have 6 multiplications that are a lot easier to solve than the initial one that we had.

Then the list of six multiplications involved in solving this problem are:

300*80 = 24,400

300*9 = 2,700

300*0.1 = 30

25*80 = 2,000

25*9 = 225

25*0.1 = 2.5

Now we add all of those and get:

325*89.1 = 24,400 + 2,700 + 30 + 2,000 +  225 + 2.5 = 28,957.5

4 0
3 years ago
F(x)=-12x - 2x + 60x² +14x-60
Leona [35]

Answer:

x=±1. are the factors of the quadratic equation.

Step-by-step explanation:

Given quadratic expression, f(x)=-12x - 2x + 60x² +14x-60

Rearranging and adding the terms in the expression and equating to zero.

f(x)= 60x² -60=0

60(x² - 1) =0

The zero product property states that if the product of a⋅b=0 then either a or b equal zero or both of them must be equal to zero. This basic property helps us solve the quadratic equations like (x+2)(x-5)=0 where x =-2,5.

from the zero product property we can infer that 60≠0⇒x² - 1=0

⇒(x+1)×(x-1) = 0

⇒x=±1.

Therefore, x=±1. are the factors of the quadratic equation.

3 0
4 years ago
"Two purple sea slugs are mated with each other. Among their numerous offspring, 428 have a purple integument and 152 have orang
Orlov [11]

Answer:55

Step-by-step explanation:

55x1=55

6 0
3 years ago
Find the perimeter and area of a rectangle with a length of 2 meters and a width of 3 meters
klasskru [66]
Let L and W be the length and width of the rectangle, respectively. To solve for the perimeter (P) and area (A), use the following formula:
                                
                                       P = 2 x (L + W)

                                       A = L x W

Substituting the given value for the dimensions, 
 
                                       P = 2 x (2m + 3m) = 10 m
                               
                                        A = 2m x 3m = 6m^2

Therefore, the perimeter is 10m and the area is 6m^2. 




4 0
3 years ago
In the diagram, JKLM∼EFGH. Find the scale factor of EFGH to JKLM
mote1985 [20]
The answer is k= 2.5

Explanation: Rotating the shape will show that one side is 20:8. Divide these together and you get 2.5.

Hope this helps
5 0
3 years ago
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