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LUCKY_DIMON [66]

2 years ago

10

An exponential relationship has a growth factor of3and y-intercept of 4.Evalute the function that represents the function that r

epresents this relationship where x=10

1 answer:

Murrr4er [49]2 years ago

6 0

Answer:

$f(10)= 236196$

Step-by-step explanation:

Given

$(x,y) = (0,4)$ --- y intercept

$b = 3$ --- growth factor

Required

$f(10)$

An exponential function is represented as:

$y = ab^x$

$(x,y) = (0,4)$ means

$4=a * b^0$

$4=a *1$

$a= 4$

So, we have:

$y = ab^x$

$y = 4(3)^x$

or

$f(x)= 4(3)^x$

When x is 10, the value of the function is:

$f(x)= 4(3)^x$

$f(10)= 4(3)^{10$

$f(10)= 236196$

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If the graph of the function moves to the right two units what is the new vertex of the function

Allisa [31]

Answer:

Let's talk through this a one step at a time.

*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.

*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.

*At this point, f(x-5) has its vertex at (5,0).

*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]

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5 0

3 years ago

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Readme [11.4K]

Step-by-step explanation:

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7 0

2 years ago

Read 2 more answers

Part B Isabella's mother sells the peas and gets $3 for each square foot. So, multiply your answer from Part A by 3 to calculate

choli [55]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete as the solution to part A (or part A itself) is not given. To solve this, I will assume a value to the supposes solution to part A.</em>

<em></em>

From the question:

1 square foot is sold at $3.

This implies that:

p square foot will be sold at $3p.

So, total sales can be calculated using:

$Total = 3p$

Now assume that p is 10 square feet (from part A).

The total will be:

$Total = 3*10$

$Total = \$30$

4 0

2 years ago

How would logx (49) = x look like in exponential form

Ivanshal [37]

I'm assuming the given log equation is $\log_{\text{x}}(49) = \text{x}$

If so, then the exponential form is $\text{x}^{\text{x}} = 49$

This is because the general form $\log_{\text{b}}(\text{x}) = \text{y}$ transforms into $\text{y} = \text{b}^{\text{x}}$

For both equations, the 'b' is the base.

5 0

1 year ago

Part I: Marco rented a small moving van. The moving company charges $40 a day for up to 5 days. The input is the time, in days,

Snezhnost [94]

Given mapping is a function.

Domain: $\{1,2,3,4,5\}$

Range: $\{40,80,120,160,200\}$

Step-by-step explanation:

By observing Marco's mapping diagram we can see that every value in time is mapped to only one value in the cost. This means that there will be no repetition or same output to two different outputs so given mapping is a function.

<u>Domain:</u>

Domain is the set of all inputs of a function. Here time is input so domain of function is:

$\{1,2,3,4,5\}$

<u>Range:</u>

Range is the set of all outputs of the function on domain so the range of the given function is:

$\{40,80,120,160,200\}$

Hence,

Given mapping is a function.

Domain: $\{1,2,3,4,5\}$

Range: $\{40,80,120,160,200\}$

Keywords: Domain, range, function

Learn more about function at:

#LearnwithBrainly

7 0

2 years ago