Use the distributive property to rewrite as an expression
5(x+3)

Answer:

10,665.64

Step-by-step explanation:

Exponential Functions:

y=ab^x

A= starting value = 19900

r=rate = 7.5%=0.075

Exponential Decay:

b=1-r=1-0.075=0.925  

Write Exponential Function:

y=19900(0.925)^x

Plug in time for x:

y=19900(0.925)^8

y= 10665.6404317  

Evaluate

y≈10665.64

Answer:

Step-by-step explanation:

credits to numerade

Answer:

Larger # is X and smaller is y

X = 16 and y = 6

Step-by-step explanation:

X = 4 + 2y

X + Y = 22

4 + 2y + Y = 22

3y = 18

y = 6

X = 4 + 2(6)

X = 16

Answer:

2(2y+5)/2=37.2/2

2y+5=37

2y+5-5=37-5

2y=32

2y/2=32/2

y=16

the closest to that is y=8

Step-by-step explanation:

hope that helps>3

Answer:first question answer is 2

Second question is 0 and 1

Step-by-step explanation:

Answer:

1. 2:5

2. 5:2

3. 2,5

Step-by-step explanation:

Hope you have a great day

Answer:d

Step-by-step explanation:

The function which represents the number of tickets remaining after x hours is b. y = -3,000x + 12,000.

A function can be defined as the values of the inputs for which the output is defined. The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

From the given graph we can observe that every hour 3000 tickets were sold.

Assuming hours to be x and tickets remaining at any time is represented

by y and as the tickets were sold we can denote it with a negative sign.

∴ The function which represents the number of tickets remaining after x hours is,

y = -3000x + 12000.

To check whether our function is correct or not we can put any value of x from 1 to 4 in our function.

learn more about functions here :

https://brainly.com/question/9046022

#SPJ2

Answer: 16.435266 to two decimal place = 16.44

a. 49a² - 36b²

= (7a)² - (6b)²

using the identity a² - b² = (a + b) (a - b)

= (7a + 6b) (7a - 6b)

It would be expected to be correct approximately 14.82 times over the next 38 years, based on the 39% accuracy of Groundhog Day predictions.

The expected value, also known as the mathematical expectation, is a key concept in probability theory and statistics.

Here,
Groundhog Day predictions have a 39% accuracy, so on average, 39% of the predictions made on Groundhog Day are correct.

To find the expected number of correct predictions over the next 38 years, we can multiply the accuracy of the predictions (39%) by the number of predictions made (38),

39% * 38 = 14.82

So, we would expect to be correct approximately 14.82 times over the next 38 years, based on the 39% accuracy of Groundhog Day predictions.

Learn more about expected value here:
https://brainly.com/question/8967614
#SPJ1

Answer:

x = 2

Step-by-step explanation:

Answer:

-3x2

Step-by-step explanation:

x=2:(-3)2=(-6)

not (-3)(-2) negative times negative is always positive, negative times positive is always negative

Answer:

The slope is m = -1

Step-by-step explanation:

Use the slope formula:

m=y2-y1/x2-x1

= -0-(-2)/-2-0

= 2/-2

= -1

Hope this helps!!!

Answer:

slope is -1

Step-by-step explanation:

Answer:27.78% ; Twi; 1/3

Step-by-step explanation:

Given the data :

Language - - - - - - - Number of students

Nzema - - - - - - - - - - - 5

Ga - - - - - - - - - - - - - - - 20

Twi - - - - - - - - - - - - - - - 30

Ewe - - - - - - - - - - - - - - - 25

Fante - - - - - - - - - - - - - - 10

1.) To prepare pie chart:

Total number of students :

(5 + 20 + 30 + 25 + 10) = 90 students

Nzema: (5/90) × 360 = 20

Ga : (20/90) × 360 = 79.99 = 80

Twi : (30/90) × 360 = 119.99 = 120

Ewe : (25/90) × 360 = 79.99 = 100

Fante : (10/90) × 360 = 39.99 = 40

Total = 360

Pie chart is attached in the picture below

2)Percentage students that speak Ewe = (25/90) * 100 = 27.78%

Or (100/360) * 100 = 27.78%

3.) Modal language : This is the language spoken by majority of the students = Twi

4.) Fraction of student that speak either GA or Fante :

(GA or Fante) = (20 + 10) / 90 = 30/90 = 1/3

The polynomial function of degree 3 with the given numbers as zeros is x³ - x² - 18x + 24.

Assume that the leading coefficient is 1. The given numbers as zeros are 2, -3, and 4. To find a polynomial function of degree 3 with these given numbers as zeros, we use the zero product property. So, we will have

(x - 2)(x + 3)(x - 4) = 0

Multiplying the terms within the parentheses, we have

(x - 2)(x + 3)(x - 4) = (x² - 2x + 3x - 6)(x - 4)

= (x³ - 4x² + 3x² + 12x - 6x - 24)

Expanding, we get

= (x³ - x² - 18x + 24)

Thus, the polynomial function of degree 3 with the given numbers as zeros is x³ - x² - 18x + 24.

To know more about polynomial visit

https://brainly.com/question/25566088

#SPJ11

Answer:

68%

Step-by-step explanation:

Given data

Number of Headset= 25

Number of bad Headset= 8

Percentage of bad Headset= 8/25*100

=  0.32*100

= 32%

Hence the percentage of good Headset is

=100-32

=68%

Answer:

5(3)² - 4

5x9-4

the answer is 41

Answer:

41

Step-by-step explanation:

5(9) - 4

45-4

41

C. exponential decay

Answer:

he answer is the third one

Step-by-step explanation:

I did it on edge

Answer:

D & E

Step-by-step explanation:

The constant of proportionality formula is y = kx. In the graph in question, when y = 6, x = 2. Plugging those values into the formula, 6 = k(2), we get that the value of k = 3. So, the correct answer should have a constant of proportionality of 3.

A) When dividing both sides by 6, we get y = 1/3 x. In this equation, k = 1/3, so this is not the answer.

B) k = 1/3 again, so this is not the answer.

C) When y = 6, x = 1. 6 = k(1), so k = 6. So, this is not the answer.

D) When y = 9, x = 3. 9 = k(3), and k = 3. This is the correct value of k. Plugging in other values from the same table give you the correct value of k. This is a correct answer.

E) When y = 15, x = 5. 15 = k(5), and k = 3. This is the correct value of k. Plugging in other values from the same table give you the correct value of k. This is a correct answer.

hope this helps! <3

Answer:

D. 6

Step-by-step explanation:

Suppose the triangles are similar:

The side lenghts would be proportional as follows

XZ/DF = XY/DE

12/8 = 9/x cross multiply expressions

12x = 72 divide both sides by 12

x = 6

Answer:

Factoring is finding what to multiply to find an expression. It is like splitting expression into a multiplication of simplified expression.

Greatest common factor or GCF of two numbers is the largest number that divides evenly in both numbers, GCF works the same in polynomials, which divide the expression evenly .

Factoring take away the multiplication, to factorize a polynomial it means take apart what  is multiplied. the best example is a²+b²+2ab ( multiplied)

factorize :(a+b)(a+b)   take apart what is multiplied

x²-25  =(x+5)(x-5)

3x²-12x-15 = 3(x²-4x-5)  GCF=3

3(x-5)(x+1)

x³+2x²+3x+6  (x+2) common factor

(x+2)(x²+3)

the key features are the vertex, axis of symmetry, x and y intercept

parabola : y=ax²+bx+c

ex: 3x²-12x-15

find vertex (h,k)

h=-b/2a =-(-12)/2(3)=2

k=f(h)=f(2)=3(2)²-12(2)-15

k=12-24-15=-27

vertex=(2,-27)

x intercept is when the graph =0 (y=0)

y intercept when x=0 then y= the constant c and where the graph cross the y axis

axis of symmetry is the x of the vertex: is a line about which a parabola is symmetrical and vertical when the axis of symmetric is vertical.

factor a polynomial helps us understand more about equations,factoring helps us rewrite the polynomial into simpler expression.

example from real life:

A homeowner has a back yard and wants to turn it to garden beds so he can plant his vegetables, he wants to fill it with dirt he needs 240 cubic feet to fill it  the length is 4 feet than the width , and the height is 4

solve:

length=W+4

height=1/3 w

V=length* width* height

240=(w+4)(w)(4)

351= 4w²+16w

4w²+16w-240=0

take 4 as common factor

4(w²+4w-60)

now factorize:

4(w-6)(w+10)=0

the first step Andre made was

2x+6=3x-8

or, -x+6=-8

And the first step Diego made was

2x+6=3x-8

or, +6=3x-2x

or, 6=x-8

...

Answer:

----------------------

Simplify the expression as follows:

The matching choice is (1).

Answer:

29.2m

Step-by-step explanation:

sinB/b = sinC/c

r= sin90×10/sin20

r=29.2

The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

Know more about coordinates here:

https://brainly.com/question/29362355

#SPJ1

Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

adddddddddddddddddddddddddddddddddddddddddddddddddddddd

The mathematical equation in the statement is (c) -10(r  + 12.5) = 60.5

From the question, we have the following statement that can be used in our computation:

Negative ten times the sum of a number and 12.5 is 60.5.

Represent the number with r

So, we have the following representation

Negative ten times the sum of r and 12.5 is 60.5.

Mathematically, this statement can be expressed as

-10 * (r  + 12.5) = 60.5

Hence, the expression is -10(r  + 12.5) = 60.5

Read more about expressions at

brainly.com/question/4344214

#SPJ1