Create my own exponential word problem.

Please show work

Answer:

x=-1

Step-by-step explanation:

Answer:

10x = 2x -8

-2x -2x

8x = -8

divide by 8

x = -1

Answer:

[tex]y = x+ 2[/tex] ---- Archie

[tex]y = \frac{3}{2}x + 3[/tex] --- Bailey

[tex]y = \frac{5}{4}x +2[/tex] --- Coco

Step-by-step explanation:

Given

See attachment for the representation

Required

Determine the function (i.e. equation) of each

Archie

Take 2 point from the line of the graph

[tex](x_1,y_1) = (0,2)[/tex]

[tex](x_2,y_2) = (12,14)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{14 - 2}{12 - 0}[/tex]

[tex]m = \frac{12}{12}[/tex]

[tex]m =1[/tex]

Archie's equation is:

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

[tex]y = 1(x - 0) + 2[/tex]

[tex]y = 1(x) + 2[/tex]

[tex]y = x+ 2[/tex]

Bailey

[tex]y = \frac{3}{2}x + 3[/tex] --- Given

Coco

Take 2 point from the table

[tex](x_1,y_1) = (2,4.5)[/tex]

[tex](x_2,y_2) = (6,9.5)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{9.5 - 4.5}{6 -2}[/tex]

[tex]m = \frac{5}{4}[/tex]

Coco's equation is:

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

[tex]y = \frac{5}{4}(x - 2) + 4.5[/tex]

[tex]y = \frac{5}{4}x - \frac{5}{2} + 4.5[/tex]

[tex]y = \frac{5}{4}x - 2.5 + 4.5[/tex]

[tex]y = \frac{5}{4}x +2[/tex]

Answer:

i will say the second one

Step-by-step explanation:

Answer:

$2,003.38

Step-by-step explanation:

Answer:

72.27 euros

(54.20 X 4) / 3

Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

135/9

= 15

Find how many miles per week Eric rode:

102/6

= 17

So, Kim rode 15 miles per week and Eric rode 17 miles per week.

The answer is Eric rode 2 more miles per week than Kim rode.

Answer:

A.

Step-by-step explanation:

Answer:

a = 4

Step-by-step explanation:

8 = 5a > - 12

8 + 12 = 5a > - 12 + 12

20 = 5a

20 ÷ 5 = 5a ÷ 5

a = 4

Check:

8 = 5(4) < 12

8 = 20 < 12

It is correct.

Answer: $3,581

Step-by-step explanation:

As she plans to save from her net income, we have to find the net income first:

= Net income - Federal taxes - Social and Medicare taxes

= 33,000 - (33,000 * 20%) - (33,000 * 7.65%)

= $23,875.50

The savings will be:

= Net income * Savings percentage

= 23,875.50 * 15%

= $3,581.325

= $3,581

Answer:

length = 12.5 in, width = 12.5 in, Area = 156.25 in²

Step-by-step explanation:

To get the maximum area, the wire can be shaped into a square. We can say that the length and width of the rectangle must be equal to each other, and call this value "x".

Therefore, we can write an equation for the perimeter:

The area of the rectangle is calculated using the formula:

Or in our case, the area of the rectangle is the area of a square:

Substitute x = 12.5 into this equation.

The maximum area that can be formed from the wire is 156.25 in², and the dimensions of the rectangle are 12.5 x 12.5 in.

Answer:

Proved

Step-by-step explanation:

Given

[tex]B =(-2,-1)[/tex]

[tex]U = (0,3)[/tex]

[tex]G = (3,2)[/tex]

[tex]S = (4,-3)[/tex]

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

Taking BU and GS as a pair

First, we calculate the slope using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For BU

[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{3 - -1}{0- -2}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m = 2[/tex]

For GS

[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{-3-2}{4-3}[/tex]

[tex]m = \frac{-5}{1}[/tex]

[tex]m = -5[/tex]

The slope of BU and GS are not the same; hence, they are not parallel.

Taking BS and GU as a pair

Calculate the slope

For BS

[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{-3 - -1}{4- -2}[/tex]

[tex]m = \frac{-2}{6}[/tex]

[tex]m = -\frac{1}{3}[/tex]

For GU

[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{3-2}{0-3}[/tex]

[tex]m = \frac{1}{-3}[/tex]

[tex]m = -\frac{1}{3}[/tex]

The slope of BS and GU are the same; hence, they are parallel.

BUGS is a trapezoid because BS and GU have the same slope

Answer:6

Step-by-step explanation:

4.75% of 25000 is 1,187.5

Times 6 it's 7,125

Answer:

8 1/3

Step-by-step explanation:

x+(x-1)+(x+2)=29

3x+1=29

3x=28

x=9 1/3

9 1/3-1= 8 1/3

Answer:

18 cm each side

Step-by-step explanation:

Square has 4 sides. So, 72/4=18

18 cm each side

plz mark me as brainliest.

Answer:

8 and 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

What are the factors of 40? 8 * 5

8 + 5 = 13

To do it algebraically gives you a quadratic:

A + B = 13

AB = 40

A(13 - A) = 40

A2 - 13A + 40 = 0

(A - 8)(A - 5) = 0

A = 8 and B = 5

Answer: The water will start to boil.

Step-by-step explanation: Water boils at 100 C.

Answer:

I will boil I hope this answer was good!

Answer:

x= -13, y= -7

Step-by-step explanation:

Answer:

x:5⁰

y:52⁰

Step-by-step explanation:

triangle:180⁰

the triangleis isoceles triangle so y:52⁰

so B is 72⁰

(14x+6)⁰=(14(5)+6)⁰=72⁰

Answer:

I think b?

Step-by-step explanation:

Answer:

157.38

Step-by-step explanation:

if you add all those numbers you will get 1888.59/12= 157.38

Answer:

48

Step-by-step explanation:

Because it’s the biggest number

Answer:

0

x

16

-5

5.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume=10 1/2 ×2 3/4 ×5

=21/2×11/4×5=1155/8=144 3/8 cubic inch

Answer:

10x+14b+11

Step-by-step explanation:

3x+8b+7x+11+6b

3x+7x+8b+6b+11 = Regroup them

10x+14b+11 = Combine like terms

The requried, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property

To combine like terms 3x+8b+7x+11+6b, we can add the coefficients of x, add the coefficients of b, and add the constant terms. So we have:

3x + 8b + 7x + 11 + 6b = (3x + 7x) + (8b + 6b) + 11

Combining the like terms:

= 10x + 14b + 11

Therefore, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

120.105m^2

Step-by-step explanation:

Given data

Diameter of circular bed=  24+3m = 27m

radius= 27/2= 13.5 m

Diameter of side walk = 12

radius= 24= 12 m

Hence the area of the sidewalk is

Area= area of circular bed- area of side walk

Area=πR^2-πr^2

Area=π(R^2-r^2)

Area=π(13.5^2-12^2)

Area= 3.14(182.25-144)

Area= 3.14(38.25)

Area=120.105m^2

Hence the area of the side walk is 120.105m^2

Answer:

Scale factor is -3

so,

243x^7

-729x^8

2187^9

Answer:

x = [tex]\frac{8\sqrt{3} }{3}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x × [tex]\sqrt{3}[/tex] = 8 ( divide both sides by [tex]\sqrt{3}[/tex] )

x = [tex]\frac{8}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising the denominator )

x = [tex]\frac{8\sqrt{3} }{3}[/tex]

Answer:

just do 400 times 400 witch is 1600

Step-by-step explanation:

you have a brain, do it yourself