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solniwko [45]
2 years ago
7

Solve the system using substitution 3x - 6y =30 y = -6x + 34

Mathematics
2 answers:
salantis [7]2 years ago
7 0

x = 6

y = -2

(explanation in image)

bixtya [17]2 years ago
5 0

Answer:

<h3>3x - 6(- 6x + 34) = 30 </h3><h3>3x + 36x - 204 = 30</h3><h3> 40x - 204 = 30</h3><h3> 40x = 234</h3><h3>x = 5.85</h3>

<h3>then solve for y as a linear equation</h3>

Step-by-step explanation:

<h3>Have a nice day !!!! :)</h3>
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How do I figure this out??
goldenfox [79]
The function is divided by 12, you would find it out by dividing 120 by 10 and getting 12, if you wanted to check your answer, you would do 84 divided by 7 which is 12. the answer to 12 is 1 and 24 is 2. hope this helped :))
7 0
3 years ago
For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

The inner function is h(x)=4x^2 + 8 and the outer function is g(x)=3x^5.

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

For the function f(x)=3(4x^2+8)^5.

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

3 0
3 years ago
Change the fraction to a decimal with division 1/10
Viktor [21]

Answer: 0.1

Step-by-step explanation: you only need to add zero to the first value,

for example if you have 1/10, you add zero, getting the next equation

10/10 if you add a zero to value you can add a zero to the result getting the following result

10/10=0. in this point both values are divisible

and 10 between 10 is equal to 1

as you finish add zeros you can add a point and after the 1 getting this result

1/10 = 0.1

 

7 0
3 years ago
Read 2 more answers
What is the inverse property of the complex number 9-4i
Zina [86]

Answer:

when added to the original number, would equate to zero. Another term this may be known as is the additive identity. The additive inverse is simply:

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Therefore, the answer is B.

6 0
3 years ago
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antiseptic1488 [7]

Answer:

Let bags of pecans cost = x

Make an equation :

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Total number of bags ordered: (3 bags pecans) + (5 bags of almonds)

Cost for pecans = 3x

Cost for almonds = 5(x + 3) = 5x + 15

Price of pecans + price of almonds = total cost

Solve for x:

3x + 5(x + 3) = 55 (remove brackets)

3x + 5x + 15 = 55 (add like terms)

8x + 15 = 55

8x + 15 - 15 = 55 - 15 (get rid of the 15)

8x = 40

8x/8 = 40/8

x = 5

bags pecans cost is $5

bags of almonds is $5+$3 = $8

6 0
3 years ago
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