Does the function model exponential growth or decay?

h(x) = 3/4 • (1/6)^x

Given:

Point D is the centroid of Triangle ABC and DE = 9.

To find:

The measures of CD and CE.

Solution:

We know that, centroid is the intersection of medians and it divides each median in 2:1.

In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,

Let the measures of CD and DE are 2x and x respectively.

DE = 9                (Given)

[tex]x=9[/tex]

Now,

[tex]CD=2x[/tex]

[tex]CD=2(9)[/tex]

[tex]CD=18[/tex]

And,

[tex]CE=CD+DE[/tex]

[tex]CE=18+9[/tex]

[tex]CE=27[/tex]

Therefore, the measure of CD is 18 units and the measure of CE is 27 units.

The measure of CD and CE are 18 and 27 respectively

From the given diagram, the following are true:

Given that DE = 9

CD = 2(9)

CD = 18

Similarly;

CE = CD + DE

CE = 18 + 9

CE = 27

Hence the measure of CD and CE are 18 and 27 respectively

Learn more on centroid here: https://brainly.com/question/25845737

Answer:

Step-by-step explanation:

4³/4⁻⁶ = 4³⋅4⁶ = 4³⁺⁶ = 4⁹

Answer:

Step-by-step explanation:

Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua, and Elicia is two years older than Tanisha. The sum of all their ages is 37. Use variable expressions and calculate the age of each girl

Let us represent:

The age of :

Tanisha = a

Elicia = b

Ajua = c

Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua

a = 2c

c = 2/a

Elicia is two years older than Tanisha.l

b = a + 2

The sum of all their ages is 37.

a + b + c = 37

We substitute

a + a + 2 + 2/a = 37

2a + 2 + 2/a = 37

Use variable expressions and calculate the age of each girl

Answer:

I think it is 54 .

Step-by-step explanation:

50 + 50= 100

45+45 = 90

27 + 27 =5 4

Answer:

[tex]\left(x-5\right)^6\left(x+3\right)^3\left(11x+1\right)[/tex]

and

[tex]x=5,\:x=-3,\:x=-\frac{1}{11}[/tex]

Step-by-step explanation:

This problem is slightly more difficult.

We start off with the product rule. If y = v*u then in the case:

[tex]u=\left(x+3\right)^4,\:v=\left(x-5\right)^7[/tex]

[tex]=> \frac{d}{dx}\left(\left(x+3\right)^4\right)\left(x-5\right)^7+\frac{d}{dx}\left(\left(x-5\right)^7\right)\left(x+3\right)^4[/tex]

Now we apply the chain rule:

[tex]\frac{d}{dx}\left(\left(x+3\right)^4\right) = 4\left(x+3\right)^3\frac{d}{dx}\left(x+3\right)\\= 4\left(x+3\right)^3\cdot \:1\\= 4\left(x+3\right)^3[/tex]

We can apply the chain rule again for this second bit:

[tex]\frac{d}{dx}\left(\left(x-5\right)^7\right) = 7\left(x-5\right)^6\frac{d}{dx}\left(x-5\right)\\= 7\left(x-5\right)^6\cdot \:1\\= 7\left(x-5\right)^6[/tex]

So now we are left with this long equation:

[tex]4\left(x+3\right)^3\left(x-5\right)^7+7\left(x-5\right)^6\left(x+3\right)^4[/tex]

Which we can actually factor:

[tex]4\left(x+3\right)^3\left(x-5\right)^7+7\left(x-5\right)^6\left(x+3\right)^4 = \left(x-5\right)^6\left(x+3\right)^3\left(4\left(x-5\right)+7\left(x+3\right)\right) \\= \left(x-5\right)^6\left(x+3\right)^3\left(11x+1\right)[/tex]

...And for the second bit, if we equate to 0, we can apply the Zero Product Property to get all the x values:

[tex]\left(x-5\right)^6\left(x+3\right)^3\left(11x+1\right)=0,\\x=5,\:x=-3,\:x=-\frac{1}{11}[/tex]

Answer:

18 meters by 14 meters

Step-by-step explanation:

Area of rectangle is base times height (AKA length times width or however you wish to call the dimensions).

This question is a system of equations question. We can make two equations. We know that every rectangle must have 2 "lengths" and 2 "widths" (4 sides in a rectangle). Since Maria only has 64 meters of fencing, we get the equation:

2L+2W = 64

Now we know the area enclosed must be 252 so we have:

L* W = 252

Rewriting the second equation we get: [tex]W=\frac{252}{L}[/tex]

Plug this into first equation to get: [tex]2L+2\left(\frac{252}{L}\right)=64[/tex]

[tex]2L+\frac{504}{L}=64[/tex]

[tex]2L^2+504=64L[/tex] (multiply everything by L)

Solving the quadratic tells us L can be 18 or 14. Let's consider if L is 18 first by plugging 18 back into the second equation to get 18 * W = 252 which gives us W = 14. If we do the same for when L = 14, we get that W = 18.

Now you might wonder why we have 2 possible combinations, that's because in reality, it doesn't matter which one we label as length (L) or width (W).

Answer:

Step-by-step explanation:

9 is 4a + 6b - 3c

10 is 2x(small 2) - 6 + 5x

11 is 5 - 2d

12 is - 3x

13 is - a - b

14 is 7c + 9d

15 is 4x(small 2) + 9x - 16

16 is 12y -14

17 is 2a(small 2) + 3ab

I hope I got them all correct. If I got any wrong, feel free to tell me so I can check my work. : )

Answer:

La tercera

-1 2/9

Step-by-step explanation:

Simplify

(−3  2 /3 )( 4 /12 )

(Decimal: -1.222222)

Answer:

2. 1/2

Step-by-step explanation:

slope is rise over run

y2-y1/x2-x1

7-5/6-2 = 2/4 = 1/2

Answer:

the answer will be B and D

Step-by-step explanation:

[tex]a=-1[/tex]

Using the midpoint formula directly from the topic meaning

[tex]\frac{x_{1}+x_{2} }{2} or \frac{y_{1}+y_{2} }{2}[/tex]

so

[tex]\frac{a+a+4}{2} =1\\a=-1[/tex]

Answer:

A

Step-by-step explanation:

Answer:

4/9 = 44/99

10/11 = 90/99

Step-by-step explanation:

44/99=90/99

Answer:

Step-by-step explanation:

4/9 = 8/18 or 36/81

10/11= 20/22 or 30/33

Answer:

hope helps

Step-by-step explanation:

The Constitution gave the federal government the power to put down domestic rebellions, including slave insurrections. The framers of the Constitution believed that concessions on slavery were the price for the support of southern delegates for a strong central government.

Answer:

The North allowed the constitution to protect slavery because they belived that slavery was an unhuamne thing although all their production for industrialization did come from the south where the slaves worked on them.

Step-by-step explanation:

Answer:

a=18

Step-by-step explanation:

-2a-10+a=-28

-1a-10=-28

+10 +10

-1a=-18

divide by -1

a=18

Answer: OOO I KNOW THE FOURTH ONE

Step-by-step explanation: y^2  +  z^2 = x^2

Answer:

D

Step-by-step explanation:

According to the Pythagorean's theorem, in a right triangle, the sum of the adjacent side squared and opposite side squared is equal to the hypotenuse squared in other words

[tex]y^{2} + z^{2} = x^{2}[/tex]

Answer:4/3 i think

Step-by-step explanation:

Answer:

Point-slope form:

[tex]\displaystyle y-3=-\frac{1}{3}(x-3)[/tex]

Slope-intercept form:

[tex]\displaystyle y=-\frac{1}{3}x+4[/tex]

Step-by-step explanation:

We want the equation in point-slope form and slope-intercept form that passes through the points (-3, 5) and (3, 3).

First, we will find the slope between the two points. By the slope formula:

[tex]\displaystyle m=\frac{5-3}{-3-3}=\frac{2}{-6}=-\frac{1}{3}[/tex]

Point-slope form is given by:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

We can choose either point. I'm going to let (3, 3) be (x₁, y₁). The slope m is -1/3. Therefore:

[tex]\displaystyle y-3=-\frac{1}{3}(x-3)[/tex]

Is the point-slope form*.

To find the slope-intercept form, we simply need to isolate y. Distribute:

[tex]\displaystyle y-3=-\frac{1}{3}x+1[/tex]

Adding 3 to both sides yields:

[tex]\displaystyle y=-\frac{1}{3}x+4[/tex]

This is slope-intercept form.

*If you use the other point, the point-slope form will be:

[tex]\displaystyle y-5=-\frac{1}{3}(x+3)[/tex]

Answer:

I don't know what you're answer is supposed to look like but if you're creating an equation it should be this...

Step-by-step explanation:

( 4 · √x ) - ( 8 · √x )

Answer:

do you have any notes? kinda confused here on what u do

Step-by-step explanation:

Answer:−4 /3 y+ 8 /3

Step-by-step explanation:

Answer:

Gotta be multiple answers right?

Step-by-step explanation:

X = 0 and Y = 2

OR

X = -8 and Y = 8

Answer:

Step-by-step explanation:

The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.

Answer: k=−5/28

Step-by-step explanation: hope this help

Answer:

2(x+1)x(2x^4-x^3+2x^2-2x+2)

Step-by-step explanation:

Use the app that named Photomath can help you solve this kind of problem easily!

I am using it for factoring questions too!

Answer:

the original price of organic fertilizer was P839

Step-by-step explanation:

to get the 738 of 12% is

839

x. 12

_______

+ 1678

839

________

100.68

839

- 100.68

_________

738.32

Answer:

The last one is a function.

Step-by-step explanation:

When the x value corresponds to different y values e.g. (1,2)(1,1), then it automatically isn't a function.  Another simple way to find out if something is a function is to graph and try the vertical line test.  If the line passes through multiple points on it's way down, then it's not a function.

Hope that helps!!!! :)