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3 years ago

5

If $-2 < x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation. We suggest you study Sec

tion 9.1 if you find this problem difficult.

1 answer:

Sergeu [11.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

-2<x≤3

multiply by 5

-10<5x≤15

add 1

-9<5x+1≤16

(5x+1)∈(-9,16]

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3 years ago

Please help me I will give 30 points

LuckyWell [14K]

Answer:

a, c, & d

Step-by-step explanation:

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3 years ago

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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]

<u>Corrected Question</u>

Is the function given by:

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

continuous at x=4? Why or why not? Choose the correct answer below.

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.

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3 years ago

Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 70 mph and the o

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Let

x--------> the time in hours

y-------> the distance in miles

we know that

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$Speed=\frac{distance}{time}$

in this problem

$Speed=\frac{y}{x}$

$y=(Speed)*x$

<u>Equation First Train</u>

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<u>Equation Second Train</u>

$y2=80x$

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Substitute the values of $y1$ and $y2$ in the equation $1$

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therefore

<u>the answer is</u>

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3 years ago

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