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lara31 [8.8K]
3 years ago
8

Ernesto tried to determine the solution for the system of equations using substitution. His work is shown below.

Mathematics
2 answers:
Blababa [14]3 years ago
6 0
I think its step 3 but i dont sure sorry
Tomtit [17]3 years ago
4 0
It is step 3 because 3(y+7) = 3y+21, so the 3 wasn't distributed to ALL of the values on the parentheses.
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Step-by-step explanation:

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3 years ago
Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a)
Anna35 [415]

Rolle's Theorem does not apply to the function because there are points on the interval (a,b) where f is not differentiable.

Given the function is f(x)=\sqrt{(2-x^{\frac{2}{3}})^{3}}  and the Rolle's Theorem does not apply to the function.

Rolle's theorem is used to determine if a function is continuous and also differentiable.

The condition for Rolle's theorem to be true as:

  • f(a)=f(b)
  • f(x) must be continuous in [a,b].
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To apply the Rolle’s Theorem we need to have function that is differentiable on the given open interval.

If we look closely at the given function we can see that the first derivative of the given function is:

\begin{aligned}f(x)&=\sqrt{(2-x^{\frac{2}{3}})^3}\\ f(x)&=(2-x^{\frac{2}{3}})^{\frac{3}{2}}\\ f'(x)&=\frac{3}{2}(2-x^{\frac{2}{3}})^{\frac{1}{2}}\cdot \frac{2}{3}\cdot (-x)^{\frac{1}{3}}\\ f'(x)&=\frac{-\sqrt{2-x^{\frac{2}{3}}}}{\sqrt[3]{x}}\end

From this point of view we can see that the given function is not defined for x=0.

Hence, all the assumptions are not satisfied we can reach a conclusion that we cannot apply the Rolle's Theorem.

Learn more about Rolle's Theorem from here brainly.com/question/12279222

#SPJ4

8 0
2 years ago
I need help will give brainliest!!!
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Step-by-step explanation:

5 0
3 years ago
Abigail needs at least $199 to purchase the new phone that she wants. Last week she babysat and earned $45. Write and solve an i
N76 [4]
5 or 4 weeks because 199 divided by 45 equals 4.4222222222
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3 years ago
Mohamed surveyed his class on their favorite candy bar. 8 picked Snickers. 6 picked Kit Kats. 6 picked Milky Ways. If he applied
Gnom [1K]

Answer:

600:450:450

Step-by-step explanation:

8+6+6= 20

1500/20=75

8*75= 600

6*75= 450

6*75=450

Check:

600/75= 8

450/75= 6

450/75=6

3 0
2 years ago
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