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2 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]2 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]2 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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The Patel family went apple picking. The number of red apples they picked was 2 __ 2 9 times the number of green apples they pic

miskamm [114]

Answer:

100

I first made 45 a fraction = 45/1

Then i made 2 2/9 into an improper fraction

then make my equation

45/1 ×20/9=100

answer is 100 red apples

Step-by-step explanation:

6 0

2 years ago

Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for t

nydimaria [60]

Let

l------> the length side of the rectangle

w----> the width side of a rectangle

b----> the base of the triangle

h----> the height of the triangle

we know that

the area of the yard is equal to

$A=lw+0.5bh$

Solve for b------> ( that means clear variable b)

Subtract $lw$ both sides

$A-lw=lw+0.5bh-lw$

$A-lw=0.5bh$

Divide by $0.5h$ both sides

$(A-lw)/(0.5h)=0.5bh/(0.5h)$

$b=(A-lw)/(0.5h)$

therefore

<u>the answer is the option B</u>

The quantity A minus l times w all divided by 0.5 times h

8 0

2 years ago

Read 2 more answers

Thomas graphed the line that represents the equation y=34x.

zloy xaker [14]

Answer:

The ordered pairs represent points on the line are

(4, 3) ⇒ C

(2, $\frac{3}{2}$ ) ⇒ D

(-8, -6) ⇒ E

Step-by-step explanation:

To find the ordered pairs represent points on the line, substitute x by the x-coordinate of each point, if the value of y equals the y-coordinate of the point, then the point is on the line.

∵ The equation is y = $\frac{3}{4}$ x

∵ The ordered pair is (8, $\frac{1}{6}$ )

→ Substitute x by 8

∴ y = $\frac{3}{4}$ (8)

∴ y = 6

∵ The value of y does not equal the y-coordinate of the ordered pair

∴ The ordered pair (8, $\frac{1}{6}$ ) does not represent a point on the line

∵ The ordered pair is ( $\frac{-2}{3}$ , $\frac{1}{2}$ )

→ Substitute x by $\frac{-2}{3}$

∴ y = $\frac{3}{4}$ ( $\frac{-2}{3}$ )

∴ y = $\frac{-1}{2}$

∵ The value of y does not equal the y-coordinate of the ordered pair

∴ The ordered pair ( $\frac{-2}{3}$ , $\frac{1}{2}$ ) does not represent a point on the line

∵ The ordered pair is (4, 3 )

→ Substitute x by 4

∴ y = $\frac{3}{4}$ (4)

∴ y = 3

∵ The value of y equal the y-coordinate of the ordered pair

∴ The ordered pair (4, 3) represents a point on the line

∵ The ordered pair is (2, $\frac{3}{2}$ )

→ Substitute x by 2

∴ y = $\frac{3}{4}$ (2)

∴ y = $\frac{3}{2}$

∵ The value of y equal the y-coordinate of the ordered pair

∴ The ordered pair (2, $\frac{3}{2}$ ) represents a point on the line

∵ The ordered pair is (-8, -6 )

→ Substitute x by -8

∴ y = $\frac{3}{4}$ (-8)

∴ y = -6

∵ The value of y equal the y-coordinate of the ordered pair

∴ The ordered pair (-8, -6) represents a point on the line

5 0

1 year ago

How many more barrels of gasoline then diesel were produced last year gasoline 34% diesel 29% total crude oil -60 million barrel

MArishka [77]

Answer: 3 million barrels

Step-by-step explanation:

Given :- Total crude oil= 60 million barrels

Quantity of gasoline = 34% of total crude oil

$=0.34\times60\text{ million barrels}\\=20.4\text{ million barrels}$

Quantity of diesel = 29% of total crude oil

$=0.29\times60\text{ million barrels}\\=17.4\text{ million barrels}$

Clearly, Quantity of gasoline is more than Quantity of diesel

difference = Quantity of gasoline-Quantity of diesel

$20.4\text{ million barrels}-17.4\text{ million barrels}\\=3\text{ million barrels}$

Therefore, The production of gasoline is 3 million barrels more than diesel last year.

3 0

1 year ago

Read 2 more answers

A rectangular portrait measures 50cm by 70cm. It is surrounded by a rectangular frame of uniform width. If the area of the frame

snow_tiger [21]

Let us assume uniform width = x cm wide.

Length of rectangular portrait = 50cm and width of rectangular portrait = 70cm.

Therefore, length of rectangle made by frame = 50 + x+x = (2x+50) cm.

And width of rectangle made by frame = 70+x+x = (2x+70) cm.

We know, the area of rectangular portrait = 50 × 70 = 3500 cm^2.

Total area of the rectangle made by frame would be = (2x+50) * (2x+70)

We know,

Actual area of frame = Area of rectangle made by frame - area of rectangular portrait.

We also given "the area of the frame is the same as the area of the portrait."

We can setup an equation now,

3500 = (2x+50) * (2x+70) - 3500.

Subtracting 3500 from both sides, we get

3500-3500 = (2x+50) * (2x+70) - 3500-3500.

0 = (2x+50) * (2x+70) -7000.

FOIL (2x+50) * (2x+70), we get

0 = 2x*2x +2x*70 + 50*2x +50*70 - 7000.

0 = 4x^2 +140x +100x +3500 -7000.

4x^2 +240x -3500 = 0.

Dividing whole equation by 4, we get

x^2 +60x - 875 =0

Applying quadratic formula $=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , we get

$=\frac{-60\pm \sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}$

$x=\frac{-60+\sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}=5\left(\sqrt{71}-6\right)$

$x=\frac{-60-\sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}:\quad -5\left(6+\sqrt{71}\right)$

We cant take negative value.

So, $x=5\left(\sqrt{71}-6\right)=12.13$

We could take approximately 12 cm.

7 0

2 years ago