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2 years ago

Helppp quick! That’s the question^ please help guysss

Mathematics

1 answer:

Digiron [165]2 years ago

4 0

Answer:

The slope represents the cost per gallon for heating oil while the y-intercept represents the fee for heating oil.

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Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?

stepladder [879]

Answer:

$\displaystyle 64$

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Rule [Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to c} x^n = c^n$

Limit Property [Multiplied Constant]: $\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \lim_{x \to 0} f(x) = 4$

Step 2: Solve

Rewrite [Limit Property - Multiplied Constant]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4$
Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)$
Simplify: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

3 0

2 years ago

-6x+y=-2 x-3y=9 what is the solution set?

Anarel [89]

Mult. the 2nd eqn by 6 and then add this "new" equation to the 1st given eqn:

-6x + y = -2
6x -18y = 54
--------------------
-17y = 52, or y = -52/17. Subst. this value of y into either equation to find the value of x.

3 0

3 years ago

I need help fast plz- I will give brainliest

kipiarov [429]

Y=5x the m would be 5 it is the slope

6 0

2 years ago

Please help, the problem is bellow

Anuta_ua [19.1K]

4x + 1.25y = 500. Hope this helps

6 0

2 years ago

Find the value of each variable and the measure of each labeled angle. Explain your answer.

Mademuasel [1]

Answer:

(3x + 8) = 50

(5x - 20) = 50

(5x + 4y) = 130

Step-by-step explanation:

3x + 8 = 5x - 20

2x = 28

x = 14

5(14) + 4y + 5(14) - 20 = 180

y = 15

3 0

3 years ago