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2 years ago

1. On the last 5 quizzes, Marco has earned a total of 21 out of 25 possible points. If he has a perfect

Mathematics

1 answer:

Nonamiya [84]2 years ago

3 0

The number of points Marco needs to bring his average up to 90% is 15points.

If there's a possible 25 possible points, and Marco has taken 5 quizzes;

Evidently, each quiz has weighs 5 points.

Mathematically;

$\frac{21 + 5x}{5(5 + x)} \times 100\% = \frac{90}{100}$

2100 + 500x = 2250 + 450x

50x = 150

x = 3.

Therefore, he needs 5x points = 15 points to bring his average up to 90%.

https://brainly.in/question/24249798

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Answer:

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Step-by-step explanation:

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1 year ago

Is f(x) continuous at x equals 4? Why or why not? A. No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit

soldier1979 [14.2K]

Corrected Question

Is the function given by:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

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Answer:

(D) Yes, f(x) is continuous at x = 4 because $Lim_{x \to 4}f(x)=f(4)$

Step-by-step explanation:

Given the function:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

A function to be continuous at some value c in its domain if the following condition holds:

f(c) exists and is defined.

$Lim_{x \to c}$ f(x)$ exists.

$f(c)=Lim_{x \to c}$ f(x)$

At x=4

$f(4)=\dfrac{1}{4}*4+1=2$

$Lim_{x \to 4}f(x)=2$

Therefore: $Lim_{x \to 4}f(x)=f(4)=2$

By the above, the function satisfies the condition for continuity.

The correct option is D.

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2 years ago

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2 years ago

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1 year ago