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3 years ago

What is the solution of the equation x − 2 = 29? -31 -27 27 31

Mathematics

1 answer:

Allisa [31]3 years ago

5 0

31-2=29 you add 2 to both sides so -2 cancels and you are left with X=31

the answer is 31

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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

3 years ago

There are several peaches on a plate. Mary took c peaches from the plate, Andrew took the remaining y peaches. How many peaches

Karolina [17]

Answer:

c+y peaches

Step-by-step explanation:

since the questions does not mention any peaches that are left over even after Andrew took the y peaches, the c amount and y amount are all that were on the plate.

8 0

3 years ago

What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?

Radda [10]

Answer:

y = 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts

m = $\frac{2-0}{0+1}$ = 2

Note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = 2x + 2 ← equation of line

7 0

3 years ago

Can you please help me so you can get extra points

iVinArrow [24]

Answer:

( -2 , -1 ) , ( -2 , 3 ) , ( 1 , 0 )

if you need any other help , please let me know [ you'll have to pay ]

5 0

1 year ago

How do i simplify this equation?

elixir [45]

Answer:

-6 = m (i'll show my work below)

Step-by-step explanation:

-6(m-7) + 7 = -8m + 37

-6m + 42 + 7 = -8m + 37

-6m + 49 = -8m +37

-37 = -37

-6m + 12 = -8m

+6m = +6m

12 = -2m

/-2 = /-2

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8 0

3 years ago