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2 years ago

11

Based on the family the graph below belongs to, which equation could represent the graph?

1 answer:

pav-90 [236]2 years ago

5 0

The correct equation which represents the graph is y = log (2x) + 3. Then the correct option is B.

<h3>What is a function?</h3>

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The equations are given below.

The graph of the function y = 2ˣ + 3 approaches zero when the value of x goes to negative infinity.

The graph of the function y = log (2x) + 3 approaches the negative infinity when the value of x approaches zero.

The graph of the function y = 2x² + 2 is parabolic in nature.

Then the correct equation which represents the graph is y = log (2x) + 3.

More about the function link is given below.

brainly.com/question/5245372

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Let $r$ and $s$ be the roots of $3x^2 + 4x + 12 = 0.$ Find $r^2 + s^2.$ Pls help.

nirvana33 [79]

Answer:

-56/9

Step-by-step explanation:

By Vieta's formulas,

$r + s = -\frac{4}{3}$ and $rs = \frac{12}{3} = 4.$ Squaring the equation $r + s = -\frac{4}{3},$ we get

$r^2 + 2rs + s^2 = \frac{16}{9}.$ Therefore,

$r^2 + s^2 = \frac{16}{9} - 2rs = \frac{16}{9} - 2 \cdot 4 = -\frac{56}{9}}$

5 0

3 years ago

Sam needs to find the circumference of a circle with a diameter of 24 inches. He uses a calculator to find the circumference. Wh

Anni [7]

Answer: B

Step-by-step explanation:

Using 6 decimals for pi = 3.141592

$Formula: C= \pi d\\$

$C=(3.141592)(24in)\\C=75.398223in$

7 0

3 years ago

When rabbits were introduced to the continent of Australia they quickly multiplied and spread across the continent since there w

Reil [10]

Given the first term at t₀ is 6 and the second term at t₃ is 32, let's take rabbit population as a function of time to be:

y = abˣ

where y is the population at time x and a the initial population at t₀

32 = 6b³

b = 1.75

Now we replace b in the population function:

y = 6(1.75)ˣ regression for the rabbit population as a function of time x.

The exponential function in terms of base is usually expressed as:

A = A₀e^kt

Hence, the regression equation in terms of base e is:

We substitute en last function, y - value with any number higher than 10,000 to estimate the time for the rabbits to exceed 10,000.

Hence, it takes approximately 13.3 months for the population to exceed 10000

3 0

1 year ago

Given the function: f(x) = 2x2 - 3x + 8, find f(-2). <br> A) -22 <br> B) -11 <br> C) 11 <br> D) 22

Elenna [48]

I think the answer would be a

8 0

3 years ago

Read 2 more answers

18. The angles for the construction of a wooden double gate are shown in the diagram. What is the value of x

katen-ka-za [31]

103.5
x = 360 - (90 + 90 + 76.5)

7 0

2 years ago