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3 years ago

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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

2 answers:

Setler79 [48]3 years 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]3 years 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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Need math help for this

Burka [1]

Answer:

<h2>In the attachment</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

We have the equation:

$y-5=-\dfrac{2}{3}(x+9)\\\\y-5=-\dfrac{2}{3}(x-(-9))$

Therefore we have

the slope m = -2/3

and the point (-9, 5)

A slope

$m=\dfrac{rise}{run}$

rise = -2

run = 3

From the point (-9, 5) ⇒ 2 units down and 3 units to the right.

7 0

3 years ago

If x and (19x+30) are the measures of complementary angles, what is the measure of each angle?

Alisiya [41]

Answer:

3° and 87°

Step-by-step explanation:

<em>here's</em><em> your</em><em> </em><em>solution</em>

<em> </em><em>=</em><em>></em><em> </em> we know that measure of complementary angle is 90°

=>. one angle is. = x

=> other angle is .= (19x + 30)

=> so, x + 19x + 30° = 90°

=> 20x + 30° = 90°

=> 20x = 60°

=> x = 60/20

=> x = 3°

hence one angle is 3° and other is 87°

hope it helps

7 0

3 years ago

One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p

scZoUnD [109]

Answer:

$c^2 = 9dp$

Step-by-step explanation:

Given

$dx^2 + cx + p = 0$

Let the roots be $\alpha$ and $\beta$

So:

$\alpha = 2\beta$

Required

Determine the relationship between d, c and p

$dx^2 + cx + p = 0$

Divide through by d

$\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0$

$x^2 + \frac{c}{d}x + \frac{p}{d} = 0$

A quadratic equation has the form:

$x^2 - (\alpha + \beta)x + \alpha \beta = 0$

So:

$x^2 - (2\beta+ \beta)x + \beta*\beta = 0$

$x^2 - (3\beta)x + \beta^2 = 0$

So, we have:

$\frac{c}{d} = -3\beta$ -- (1)

and

$\frac{p}{d} = \beta^2$ -- (2)

Make $\beta$ the subject in (1)

$\frac{c}{d} = -3\beta$

$\beta = -\frac{c}{3d}$

Substitute $\beta = -\frac{c}{3d}$ in (2)

$\frac{p}{d} = (-\frac{c}{3d})^2$

$\frac{p}{d} = \frac{c^2}{9d^2}$

Multiply both sides by d

$d * \frac{p}{d} = \frac{c^2}{9d^2}*d$

$p = \frac{c^2}{9d}$

Cross Multiply

$9dp = c^2$

or

$c^2 = 9dp$

Hence, the relationship between d, c and p is: $c^2 = 9dp$

8 0

3 years ago

What's -8 + (-1 1/8)

gogolik [260]

I think the answer is 9.375 if it needs to be in decimal form. If it needs to be in fraction form it would be improper, 9 3/8 would be the fraction. Hope it helps!

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3 years ago

Write the first four terms of the sequence:<br> a = 2<br> an = a(n-1) + 4

eduard

We have sequence equation $a_n=a(n-1)+4$ .

In this case n is a natural number (1, 2, 3, ...).

So start inserting and computing value of $a_n$ given that you know the value of n and a.

$a_1=2(1-1)+4=4$ (first term)

$a_2=2(2-1)+4=6 \\a_3=2(3-1)+4=8 \\a_4=2(4-1)+4=10$

Hope this helps.

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3 years ago