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dem82 [27]
3 years ago
14

8x+12=-3x+3+31 show algebraic work plz

Mathematics
1 answer:
QveST [7]3 years ago
3 0

= \tt8x + 12 =  -3x + 3 + 31

=\tt 8x + 12 + 3x = 3 + 31

= \tt11x + 12 = 34

= \tt11x = 34 - 12

= \tt11x = 22

=\tt x =  \frac{22}{11}

\hookrightarrow\color{plum}\tt x = 2

Thus, the value of x = 2

Let us check whether or not we have found out the correct value of x, by placing 2 in the place of x :

=\tt 8 \times 2 + 12 =  - 3 \times 2 + 3 + 31

= \tt16 + 12 =  - 6 + 34

= \tt28 = 28

Since the Left Hand Side and the Right Hand Side of the equation are equivalent, we can conclude that we have found out the correct value of x.

▪︎Therefore, the value of <u>x = 2</u>

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Law Incorporation [45]

Answer:314

Step-by-step explanation:

6 0
3 years ago
Does 6n-18=4(n+2) equal 1n?
Mariulka [41]

Answer:

No.

Step-by-step explanation:

If we were to fill in the slots, the equation would be...

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4 0
3 years ago
Can someone help me please ​
andrey2020 [161]

Answer: y = 6

Step-by-step explanation:

A square's area can be done by using s^2, where s is y in this case.  Because there are 5 squares, the area of the figure is 5y^2.  Because the area is also 180cm, 5y^2=180.

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7 0
3 years ago
The derivative of y with respect to x, when y = 3e^5x - 2 is:
Ede4ka [16]
Answer: 15e^5x

Step - by - step

y=3e^5x - 2

By the sum rule, the derivative of 3e^5x - 2 with respect to x is d/dx [ 3e^5x ] + d/dx [-2].

d/dx [ 3e^5x ] + d/dx [ -2 ]

Evalute d/dx [ 3e^5x ]

Since 3 is constant with respect to x , the derivative of 3e^5x with respect to x is
3 d/dx [ e^5x ].

3 d/dx [ e^5x ] + d/dx [ -2 ]

Differentiate using the chain rule, which states that d/dx [ f(g(x))] is f' (g(x)) g' (x) where f(x) = e^x and g(x) = 5x.

To apply the Chain Rule, set u as 5x.
3 ( d/du [ e^u] d/dx [5x] ) + d/dx [ -2]

Differentiate using the Exponential rule which states that d/du [ a^u ] is a^u ln(a) where a=e.

3( e^u d/dx[5x] ) + d/dx [ -2 ]
Replace
3(e^5x d/dx [5x] ) + d/dx [ -2 ]
3(e^5x( 5 d/dx [x] )) + d/dx [ -2 ]

Diffentiate using the Power Rule which states that d/dx [x^n] is nx^n-1 where n=1.
3(e^5x(5*1)) + d/dx [-2]
3 ( e^5x * 5 ) + d/dx [-2]

Multiply 5 by 3
15e^5x + d/dx [-2]

Since -2 is constant with respect to x, the derivative of -2 with respect to x is 0.
15e^5x + 0
15e^5x
5 0
1 year ago
Chris made his aunt a garden. The width is 7 2/5 ft and the length is 5 1/2 ft. What is the area of the garden?
pishuonlain [190]

Answer:

Hello! if Chris garden is a square shape then the answer is 40 7/10 in fraction form or 40.7 in decimal form

6 0
2 years ago
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