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VashaNatasha [74]
3 years ago
12

Simplify: -0.8b+4.1c-(-3.2b)-0.1c

Mathematics
1 answer:
BigorU [14]3 years ago
8 0

[ Answer ]

\boxed{2.4b \ + \ 4c}

[ Explanation ]

  • Simplify: -0.8b + 4.1c - (-3.2b) - 0.1c

-----------------------------------

  • Apply Rule: - (-a) = a

-0.8b + 4.1c + 3.2b - 0.1c

  • Group Like Terms

-0.8b + 3.2b + 4.1c - 0.1c

  • Add Similar Elements: -0.8b + 3.2b = 2.4b

2.4b + 4.1c - 0.1c

  • Add Similar Elements: 4.1c - 0.1c = 4c

2.4b + 4c

\boxed{[ \ Eclipsed \ ]}

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Can someone please help me on these two questions tysm
Rashid [163]
Plug them in:

x + 5y = 18 
x - 3y = 10

F. (1,13)
G. (13,1)
H. (-2,4)
J. (-2,-4)

1 + 5*13 = 18 is obliviously not true so that takes out the first option.
 
13 + 5*1 = 18 : This is true but we have to check the next one.
13 - 3*1 = 10 : This is also true so we know this is the answer. We don't really need to check the other 2 but u can if u want to.

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8 0
3 years ago
Write and solve an equation for the total number of possible combinations from flipping a coin 10 times.
vladimir2022 [97]

Step-by-step explanation:

every flip has 2 possible outcomes.

1 flip has 2.

2 flips have 2×2 = 2² = 4

3 flips have 2×2×2 = 2³ = 8

and so on.

the number of possible combinations flipping a coin n times is

C(n) = 2^n

for 10 flips

C(10) = 2¹⁰ = 1024

possible outcomes or combinations.

5 0
1 year ago
Read 2 more answers
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.
Romashka-Z-Leto [24]
In step one, you are supposed to add 25 to both sides, because if you just subtract, it would be -5x-50=53
8 0
3 years ago
Somebody please help​
iren [92.7K]

Answer:

Yes, No, No, No

Step-by-step explanation:

To decide whether the point lies on the circle, what you need to do it simply substituting the x and y values into the equation and check if it add up to be 25

(-5)² + 0² = 25, = RHS  [Yes]

1² + (√7)² = 8, ≠ RHS [No]

(√21)² + (-3)² = 30, ≠RHS [No]

0² + 7² = 49, ≠RHS [No]

5 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
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