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3 years ago

Which description compares the domains of Function A and Function B correctly?

Mathematics

1 answer:

olchik [2.2K]3 years ago

5 0

Answer:

The domain of Function A is the set of real numbers.

The domain of Function B is the set of real numbers greater than or equal to 0.

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1. What is the y-intercept in the table below?

11Alexandr11 [23.1K]

Answer:

EWAN KO DYA DI AKO MATH EXPERT

Step-by-step explanation:

POIU

5 0

3 years ago

A countrys population in 1990 was 145 million. In 1998 it was 151 million. Estimate the population in 2015 using the exponential

alexandr402 [8]

Answer:

The population in 2015 will be 165 million.

Step-by-step explanation:

The exponential growth formula is given by:

$f(t) = a(1 + r)^{\Delta t}$

Where:

a: is the initial population

r: is the rate of increase

Δt: is the time

With the initial information we can find the rate:

$151 = 145(1 + r)^{1998-1990}$

Using logarithm:

$ln(151) = ln(145) + 8[ln(1 + r)]$

$ln(1 + r) = \frac{ln(151) - ln(145)}{8}$

$ln(1 + r) = 5.0683 \cdot 10^{-3}$

Using exponential:

$e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}}$

$r = 5.081 \cdot 10^{-3}$

Now, we can find the estimated population in 2015:

$f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998}$

$f(t) = 165$

Therefore, the population in 2015 will be 165 million.

I hope it helps you!

5 0

3 years ago

Y= -0,5x – 2 y= 1,5x + 8

Masja [62]

Answer:

a. ( 5 ) ( 0 ) − 2

= −2

b. ( 5 ) ( 1 ) + 8

= 13

Hope it helps

Please mark me as the brainliest

Thank you

8 0

3 years ago

Help me answer this question please

arlik [135]

Answer:

f'(2) = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Calculus

The definition of a derivative is "the slope of the tangent line".

Derivatives of constants are 0.

Basic Power Rule:

f(x) = cxⁿ

f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 4x + 2

Step 2: Find 1st Derivative

Basic Power Rule: f'(x) = 2·3x²⁻¹ - 1·4x¹⁻¹
Simplify: f'(x) = 6x - 4

Step 3: Find tangent slope

Define: f'(x) = 6x - 4, x = 2
Substitute: f'(2) = 6(2) - 4
Multiply: f'(2) = 12 - 4
Subtract: f'(2) = 8

Step 4: Identify

f'(2) = 8 tells us that at x = 2, the slope of the tangent line is 8.

7 0

3 years ago

On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0). What is the equation of th

Vitek1552 [10]

Answer: $y=\frac{5}{3}x-5$

Step-by-step explanation:

Alright, lets get started.

Two points are given as (-3,2) and (2,-1)

Slope will be : $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Slope will be : $\frac{-1-2}{2-(-3)}$

Slope will be : $\frac{-3}{5}$

Our line is perpendicular to this slope, then,

$m \times (\frac{-3}{5}) =-1$

$m=\frac{5}{3}$

Line passing through the point (3,0) and having slope $\frac{5}{3}$ , is given by :

$y-y_{1}=m(x-x_{1} )$

$y-0=\frac{5}{3}(x-3)$

$y=\frac{5}{3}x-5$ : Answer

Hope it will help :)

6 0

3 years ago

Read 2 more answers