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3 years ago

Check my answer? Will Upvote!

Mathematics

1 answer:

lana [24]3 years ago

7 0

Answer:

The answer to your question is about 5.5 hours.

Step-by-step explanation:

The equation is y = 35(3x)

Data

# of bacteria = 550 = y

time = ? h

Then 550 = 35(3x) substitution

550 = 105x simplifying

x = 5.23 h.

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I dont understand how to do this precalc question

Alexeev081 [22]

Answer:

x-intercept: (-0.1, 0)
Horizontal Asymptote: y = -3
Exponential <u>growth</u>

(First answer option)

Step-by-step explanation:

<u>General form of an exponential function</u>

$y=ab^x+c$

where:

a is the initial value (y-intercept).
b is the base (growth/decay factor) in decimal form:
If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.
y=c is the horizontal asymptote.
x is the independent variable.
y is the dependent variable.

Given <u>exponential function</u>:

$y=4(10)^x-3$

<h3><u>x-intercept</u></h3>

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0. To find the x-intercept, substitute y = 0 into the given equation and solve for x:

$\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}$

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

<h3><u>Asymptote</u></h3>

An <u>asymptote</u> is a line that the curve gets infinitely close to, but never touches.

The <u>parent function</u> of an <u>exponential function</u> is:

$f(x)=b^x$

As<em> </em>x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form $f(x) = ab^x+c$ always has a horizontal asymptote at y = c.

Therefore, the horizontal asymptote of the given function is y = -3.

<h3><u>Exponential Growth and Decay</u></h3>

A graph representing exponential growth will have a curve that shows an <u>increase</u> in y as x increases.

A graph representing exponential decay will have a curve that shows a <u>decrease</u> in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).

If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

Learn more about exponential functions here:

brainly.com/question/27466089

brainly.com/question/27955470

6 0

2 years ago

Select all the expressions that could represent the volume of a box, which is a third degree polynomial in variables x and y.

Citrus2011 [14]

Answer:

A and D

Step-by-step explanation:

Third degree polynomials refers to polynomials that has 3 as the greatest power of the variable.

A. 3 x y − 3 x y^2

Degree = 1 + 2 = 3

This option is correct

B 2y - xy^3 + 7

Degree = 1 + 3 = 4

This option is wrong

C. 3x^3y^2 -3x^2y + 10y^2 - 10y

Degree = 3 + 2 = 5

This option is wrong

D. 3x^2y+5xy

Degree = 2 + 1 = 3

This option is correct

E. 3y^3 + 3x^3 y^4

Degree = 3 + 4 = 7

This option is wrong

6 0

3 years ago

Take the following numbers and calculate the mean, median and mode. 75, 65, 70, 70, 55, 40, 55, 70, 65

emmainna [20.7K]

1. mean

To solve for mean, add all the numbers, and divide by the amount of numbers there is.

(75 + 65 + 70 + 70 + 55 + 40 + 55 + 70 + 65)/9 = 565/9 = 62 7/9 (a. 62.8)

2. Median

To solve for median, reorder all numbers from least to greatest, and the middle number is your median.

40, 55, 55, 65, 65, 70, 70 , 70, 75

Middle number is bolded

40, 55, 55, 65, 65, 70, 70, 70, 75

(b. 65)

3. Mode

To solve for mode, find out which number shows up the most.

(c. 70) shows up once more than the next number that has the most (55 & 65, which both have 2)

4 0

3 years ago

The high temperature was 92 degrees fahrenheit this was 24 degrees fahrenheit higher than the overnight low temperature write an

motikmotik

We let x be the low temperature (in degrees Fahrenheit). A temperature that is 24 degrees Fahrenheit higher than this is 92. The equation that would best represent the scenario is,
92 = x + 24
The value of x from the equation is 68. Therefore, the low temperature is 68 degrees Fahrenheit.

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3 years ago

What is the solution to the equation represented by the model below?

Sever21 [200]

Answer: C: X=2

Step-by-step explanation:

X=2 BECAUSE if u put 2 instead of the x's then it would be 3(2) +8=4(2)+6

PLZ MARK BRAINLIEST

3 0

3 years ago

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