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Goshia [24]
3 years ago
5

Solve for x and y. y= -14x+100 and y= -14x+120

Mathematics
1 answer:
shusha [124]3 years ago
7 0

Answer:

-14x+100=86x

-14+120=106x

Step-by-step explanation:

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Solve this equation pls
Aleksandr-060686 [28]

Answer:

{ \rm{y =  \frac{3 \sqrt{x}  + 2x}{ {4x}^{2} } }} \\

• We are gonna use the quotient rule

{ \boxed{ \bf{ \frac{dy}{dx} =  \frac{ {\huge{v} } \frac{du}{dx}   - { \huge{u}} \frac{dv}{dx} }{ {v}^{2} }  }}} \\

  • u is (3√x + 2x)
  • v is 4x²
  • du/dx is 3/2√x
  • dv/dx is 8x

• Therefore:

{ \rm{ \frac{dy}{dx} =  \frac{(4 {x}^{2})( \frac{3}{2 \sqrt{x} }) - (3 \sqrt{x} + 2x)(8x)   }{16 {x}^{4} }  }} \\  \\ { \rm{ \frac{dy}{dx}  =  \frac{(6 {x}^{2})( {x}^{ -  \frac{1}{2} }  ) - (24 {x}^{ \frac{3}{2}  } + 16 {x}^{2} ) }{16 {x}^{4} }  }} \\  \\ { \rm{ \frac{dy}{dx}  =  \frac{ 6 {x}^{ \frac{3}{2} }  -  {24x}^{ \frac{3}{2} }  -  {16x}^{2} }{16 {x}^{4} } }} \\  \\ { \rm{ \frac{dy}{dx}  =  \frac{ - 18 {x}^{ \frac{3}{2}  } - 16 {x}^{2}  }{16 {x}^{4} } }} \\  \\ { \rm{ \frac{dy}{dx}  =  - 2 {x}^{ \frac{3}{2} } (9 + 8 {x}^{ \frac{4}{3} } ) \div 16 {x}^{4} }} \\  \\ { \boxed{ \boxed{ \rm{ \:  \:  \frac{dy}{dx}  =   - \frac{8 \sqrt{ {x}^{ \frac{8}{3} }}  + 9}{8x {}^{ \frac{8}{3} } }  \:  \: }}}}

5 0
2 years ago
Read 2 more answers
Solve the equation kx+9=7 for x
Alika [10]

Answer:

x=-2/k

Step-by-step explanation:

To solve you need to make x on one side while the other variables or numbers on the other.

First, you need to move the 9 to the other side by subtracting 9 from both sides: kx+9-9=7-9

Simplify: kx=-2

Now you need to divide by k into both sides in order to eliminate the k on kx:

x=-2/k

Answer: x=-2/k

Hope this helps!

3 0
3 years ago
Read 2 more answers
Point C is located at (1, 2) and point D is located at (−4, −2). Find the y value of the point that is 1 over 4 the distance fro
fomenos
If we use similar triangles ( as shown in the attachment ) we will see that the line CM is also  1/4 *( yC-yD)= 1/4*(2+2) = 1/4*4 =1
Answer: y-value of that point is A) y=1.
Download docx
4 0
3 years ago
Read 2 more answers
After completing the fraction division 5 divided by five-thirds, Miko used the multiplication shown to check her work. 3 times f
Dmitry [639]

Step-by-step explanation:

5 divided by five-thirds can be written in the fractional form is as follows :

\dfrac{5}{\dfrac{5}{3}}

It can be also written as :

\dfrac{5}{\dfrac{5}{3}}=5\times \dfrac{3}{5}\\\\=3

He has done calculations as follows :

3 x 5/3=3/1 x 5/3 = 15/3 or 5

Miko was wrong in the first step where he multiplied 3 by (5/3). It should be 5 multiplied by (3/5). He has done multiplication incorrectly.

3 0
3 years ago
Five bikers join a race. In how many possible ways can they be arranged as
PolarNik [594]

Answer:

60 different possibilities

Step-by-step explanation:

Number of bikers = 5

Positions = first, second and third

First positions = all 5 riders can take the first spot = 5 possibilities

Second spot = position 1 has been filled hence number of possibilities = ( 5 - 1) = 4

Third spot = position 1 and 2 has been filled ; number of possibilities =. (5 - 2). = 3

Number of possible arrangements :

5 * 4 * 3 = 60 different possibilities

6 0
3 years ago
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