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3 years ago

How to write numbers in standard form?

1 answer:

6 0

Standard form is just another way of saying "how to write a number in a regular form".

Ex. Standard form is any number.

4
65
234
1,865
234,908
4567,987,634

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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

saw5 [17]

Using exponential function concepts, it is found that it represents a decay of 0.9%.

<h3>What is an exponential function?</h3>

A decaying exponential function is <em>modeled </em>by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

In this problem, the function is:

$A(t) = 9300(0.991)^{6t}$

Hence:

$1 - r = 0.991$

$r = 0.009$

Thus, it represents a decay of 0.9%.

You can learn more about exponential function concepts at brainly.com/question/25537936

5 0

2 years ago

An electronics store has marked the price of a certain game at 230% of their cost. If their cost is $15.00, how much does the ga

Ber [7]

I multiplied $15 by 230% and then added my answer(which was 34.5) because subtracting it wasn't an option and got $49.50

3 0

3 years ago

Read 2 more answers

The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is

Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

$f(x)=-0.05x^2+2.5x+5.2$

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

$-\infty$

Factorize the given function.

$f(x)=-0.05(x^2-50x-104)$

$f(x)=-0.05(x^2-52x+2x-104)$

$f(x)=-0.05(x(x-52)+2(x-52))$

$f(x) = -0.05 (x - 52) (x + 2)$

Put f(x)=0 to find the x intercepts.

$0 = -0.05 (x - 52) (x + 2)$

Equate each factor equal to 0.

$x=52,-2$

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

$0\leq x\leq 52$