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3 years ago

-8+x>9 what is the answer because I am struggling

Mathematics

1 answer:

Gemiola [76]3 years ago

6 0

-8+x> 9/+8.......
x> 17

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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.

The correct option is D.

3 0

3 years ago

3(x+3)=30 i have literally forgotten everything about algebra

zhannawk [14.2K]

3(x+3)=30

3x+9=30

3x=21

x=7

3 0

3 years ago

What is the slope of the line that passes through the pair of points (3,-4) and (5,-7).

maria [59]

The correct answer is C. -3/2

5 0

3 years ago

Pythagorean theorem to determine if a triangle with sides 2 ft,5ft,4ft is a right triangle

Delvig [45]

$a^2 + b^2 = c^2$

$2^2 + 4^2 = 5^2$

$4 + 16 = 25$

$20 = 25$

Since 20 = 25 is clearly a false statement, the three side lengths 2 ft, 4 ft, and 5 ft do not form a right triangle.

4 0

3 years ago

you have $18 to buy peppers. peppers cost $1.50 each. write and solve an inequality that represents the number of peppers you ca

Nezavi [6.7K]

At most 12 peppers can be bought with $18

Step-by-step explanation:

Given

Total amount for peppers = $18

Cost per pepper = $1.50

Let p be the number of peppers that can be bought from $18 at $1.50 per pepper

So,

$1.50p\leq 18$

Dividing both sides by 1.50

$\frac{1.50p}{1.50}\leq \frac{18}{1.50}\\p\leq 12$

Hence,

At most 12 peppers can be bought with $18

Keywords: Inequality, solution

Learn more about inequalities at:

#LearnwithBrainly

5 0

3 years ago