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2 years ago

2(x + 3)^2 = 50

Mathematics

1 answer:

nadya68 [22]2 years ago

7 0

$2(x + 3)^2 = 50\\
(x+3)^2=25\\
x+3=5 \vee x+3=-5\\
x=2 \vee x=-8$

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Answer:

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Step-by-step explanation:

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8 0

2 years ago

A scarf needs ¾ of a yard of fabric. How many scarves can be made from 9 yards of fabric?

marissa [1.9K]

Answer:

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Step-by-step explanation:

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2 years ago

Y is inversely proportional to (x+2)² when x=1, y=2

REY [17]

Answer:

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Step-by-step explanation:

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6 0

2 years ago

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]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4$
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Simplify: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64$