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2 years ago

Write the new equation if the graph of f(x)= 4x^2 + 3 is translated up 4 units.

Mathematics

2 answers:

klasskru [66]2 years ago

4 0

Its impossible to solve this, but i got -47

Leno4ka [110]2 years ago

3 0

I got -47 hope it’s right!

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Show all work below to answer the following for a certain city that had a population of 150,000 in the year 2010. In 2020, the p

Gelneren [198K]

The constant rate of continuous growth, k, for this population is equal to 2.11935%. And the population will reach 250,000 people in 24.36 years.

For solving this question, you should apply the Population Growth Equation.

<h3>Population Growth Equation</h3>

The formula for the Population Growth Equation is:

$P_f=P_o*(1+\frac{R}{100} )^t$

Pf= future population

Po=initial population

r=growth rate

t= time (years)

STEP 1 - Find the constant rate of continuous growth, k, for this population.

For this exercise, you have:

Pf= future population= 185,000 in 2020.

Po=initial population =150,000 in 2010.

r=growth rate= ?

t= time (years)=2020-2010=10

Then,

$P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%$

STEP 2 - Find the <em>t</em> for population 250,000 people.

$P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36$

Read more about the population growth equation here:

brainly.com/question/25630111

7 0

1 year ago

Lilly records the age, in years, and the height, in inches, of the starting players on the girls’ middle school basketball team.

storchak [24]

Answer:

Step-by-step explanation:

We are given that,

The relation in the form of ordered pairs (age, height) is given by,

(11,62), (12,64), (13,65), (13,67) and (14,68).

'A function is a relation in which every element has a unique image'.

So, for the given relation to be a function, every element must have unique image.

But, For age 13, there are girls with 65 and 67 inches of height i.e. the ordered pairs (13,65) and (13,67) exists.

Thus, 13 does not have a unique image.

Hence, the given relation is not a function.

3 0

3 years ago

What was the price per gallon of milk

sesenic [268]

4 4 4 4 Its That One

4 0

3 years ago

Order the lenghths least to greatest

kogti [31]

14.5, 14.8, 15, 15.3, 15.8 Hope this helped!

-TTL

6 0

3 years ago

Read 2 more answers

The table represents the linear function f(x), and the equation represents the linear function g(x). Compare the y-intercepts an

likoan [24]

Answer:

y-intercept of f(x) = 1

y-intercept of g(x) = 1

The slope of f(x) = 1.5

The slope of g(x) = 2

Step-by-step explanation:

x : 0 2 4

f(x) : 1 4 7

The table x , f(x) represents a linear function

The linear function has the form y = mx + c

where m is the slope and c is y-intercept

m = (y₂-y₁)/(x₂-x₁) = (7-4)/(4-2) = 3/2 = 1.5

y-intercept is the value of y at which x = 0

From the table at x = 0 ⇒y= f(x) = 1 ⇒ c = 1

∴ f(x) = 1.5x + 1

And given g(x) = 2x + 1

We will Compare the y-intercepts and slopes of the linear functions f(x) and g(x)

y-intercept of f(x) = 1

y-intercept of g(x) = 1

The slope of f(x) = 1.5

The slope of g(x) = 2

So, y-intercept of f(x) = y-intercept of g(x) = 1

And The slope of g(x) is greater than The slope of f(x)

3 0

3 years ago