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nevsk [136]
1 year ago
15

The number of members f(x) in a baseball club increased by 45% every year over a period of x years. The function below shows the

relationship between f(x) and x:
f(x) = 25(1.45)x

Which of the following graphs best represents the function?

Graph of f of x equals 1.45 multiplied by 25 to the power of x
Graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity
Graph of f of x equals 1.45 to the power of x
Graph of f of x equals 25 multiplied by 1.45 to the power of x

Mathematics
2 answers:
Setler79 [48]1 year ago
7 0

Answer:

The correct option is D) Graph of f of x equals 25 multiplied by 1.45 to the power of x

Step-by-step explanation:

Consider the provided function.

f(x) = 25(1.45)^x

First draw the graph of the function with the help of the table.

x         -1          0         1             2

f(x)     17.24     25    36.25   52.5625

The graph of the function is shown below:

The word form of the above function is:

The graph of function f(x) is equal to 25 multiply by 1.45 to the power of x.

Hence, the correct option is D) Graph of f of x equals 25 multiplied by 1.45 to the power of x

Dovator [93]1 year ago
4 0

Answer:

<h3>Graph of f of x equals 25 multiplied by 1.45 to the power of x</h3>

Step-by-step explanation:

This is because the 25 in the equation is put in the graph, I suck at alegbra but one day I'll be great at it hopefully...

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Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours,
JulsSmile [24]

For this case we have that the variable "x" represents the number of hours that Leticia uses to take care of children on Saturday.

IF on Friday I use 4 hours ($ 8 each) and on Saturday "x" hours ($ 8 each) obtaining a profit of $ 72, we have the following equation:

8 (4 + x) = 72

We apply distributive property:

32 + 8x = 72\\8x = 72-32\\8x = 40\\x = \frac {40} {8}\\x = 5

So, on Saturday she spent 5 hours.

Answer:

8 (4 + x) = 72\\x = 5

6 0
1 year ago
Read 2 more answers
5. When looking at a map, a student realizes that Birmingham is nearly due west of Atlanta, and Nashville is nearly due north of
leonid [27]

Answer: 250 mi

Step-by-step explanation:

Here we can think in a triangle rectangle:

The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.

And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.

Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.

Now we can apply the Pythagorean's theorem:

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse:

Then:

H = √(A^2 + B^2)

H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi

Then the estimated distance from Atlanta to Nashville is 250 mi

6 0
2 years ago
Alexa buys 27 stamps, each stamp is of 1 square unit of area. She exchanges them for 8 sugar cubes, whose total volume is numeri
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The answer is 8 sugar cubes
8 0
2 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449 gram setting. It is
stealth61 [152]

Answer:

We accetp  H₀

Step-by-step explanation:

Information:

Normal distribution  

Population mean      =   μ₀  = 449

Population standard deviation  σ   unknown

Sample size   n  =  23        n < 30    we use t-student test

so   n  =  23    degree of fredom   df = n  - 1  df  = 23- 1   df = 22

Sample mean    μ =  448

Sample standard deviation   s  =  20

Significance level  α  =  0,05  

1.-Hypothesis Test

Null hypothesis                               H₀     μ₀  =  449

Alternative hypothesis                    Hₐ     μ₀  ≠  449

Problem statement ask for determine decision rule for rejecting the null hypothesis. For rejecting the null hypothesis we have to  get an statistic parameter wich implies  that μ is bigger or smaller than μ₀

2.-Significance level   α  =  0,05  ;  as we have a two tail test

α/2    =  0,025

Then from t - student table for  df =  22   and 0,025 (two tail-test)

t(c)  =  ±  2.074

3.- Compute  t(s)

t(s)   =  (  μ  -  μ₀ )  /  s /√n

plugging in values

t(s)   =  (448  -  449) /  20 /√23    ⇒   t(s)   =  -  1*√23 /20

t(s)   =  - 0.2398

4.-Compare t(c)   and  t(s)

t(s)  <  t(c)         - 0.2398  <  - 2.074

Therefore  t(s)  in inside acceptance region.  We accept  H₀

7 0
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-3x-2.5=y would be an equivalent to that equation
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