What steps would you take in order to solve the equation 38=6x-16

•Subtract 16 and then divide by 6
•Divide by 6 and add 16
•Add 16 and then divide by 6
•Multiply by 6 and add 16

Answer:

[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]

Step-by-step explanation:

Exponential Function

The exponential function can be written with the general equation:

[tex]f(x)=A\cdot r^x[/tex]

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]

[tex]\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0[/tex]

[tex]f(0) = 4[/tex]

This gives the correct value of f(0)=4.

Substituting in the fourth function:

[tex]\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x[/tex]

[tex]\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0[/tex]

[tex]f(0) = \frac{1}{2}[/tex]

This choice is wrong

Correct choice:

[tex]\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}[/tex]

Answer:

x=0 and x=5/2

Step-by-step explanation:

Combine like terms.

-2x=0

x=0/-2

x=0

-4x=-10

x=-10/-4

x=5/2

Answer:

[tex] \frac{a}{7} + \frac{a}{3} = 10 \\ \frac{(3a + 7a)}{21} = 10 \\ \frac{10a}{21} = 10 \\ a = \frac{(10 \times 21)}{10} \\ \boxed{a = 21}[/tex]

Answer:

1/2

Step-by-step explanation:

3/6 = 1/2

Answer:

1/6

Step-by-step explanation:

in case of one fair die, each face has the same probability, thus, P of each number is equally 1/6

Answer:

Step-by-step explanation:

0.79

Answer:

The expression equivalent to 3 to the 5th power is 3^5.

The number 3 raised to the 5th power is represented through the expression 3 ^ 5, which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3), which results in the number 243, which is can be corroborated by the following calculations:

3x3 = 9

9x3 = 27

27x3 = 81

81x3 = 243

The solution is: The expression equivalent to 3 to the 5th power is 3^5.

Here, we have,

The number 3 raised to the 5th power is represented through the expression 3 ^ 5,

which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3),

which results in the number 243,

which is can be corroborated by the following calculations:

3x3 = 9

9x3 = 27

27x3 = 81

81x3 = 243

Hence, The solution is: The expression equivalent to 3 to the 5th power is 3^5.

To learn more on Expression click:

brainly.com/question/14083225

#SPJ6

Answer:

$2.5389

Step-by-step explanation:

Given data

Cost of lunch = $2.34

Tax= 8.5%

Let us compute the cost of the tax

=8.5/100*2.34

=0.085*2.34

= $0.1989

Hence the total is = 0.1989+2.34

=$2.5389

Answer:

1.75

Step-by-step explanation:

1.75 :) you can check your answer by multiplying by 3!

Brainliest would be appreciated

Answer:

I would do C because 2/3 is close to a whole so then you would get -3 and 1/4  is close to 0 so just keep 18 the same which would be -18 so -18 divided by -3 would be correct

Step-by-step explanation:

Answer:

its c or d

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

-8 + 10 = 2

12 - 10 = 2

Therefore it is in the middle lol.

Answer:

It will take Michelle 80 minutes.

They're 35.20 kilometers away from their starting point.

Step-by-step explanation:

We have to find how many minutes it would take Michelle to catch up to Juanita.

We know that Michelle's movement is represented as: d = 0.44t

Juanita's movement is represented as: d = 0.3t + 11.2

To find how many minutes it would take for Michelle to catch up, we will have to solve both equations together and solve for "t", or time.

Solve:

0.44t = 0.3t + 11.2

Subtract 0.3t from both sides.

0.14t = 11.2

Divide both sides by 0.14

t = 11.2/0.14

t = 80

This means that it would take 80 minutes for Michelle to catch up.

To find how far they are, multiply 0.44 by 80.

0.44 · 80 = 35.20

This means that they're 35.20 kilometers away from their starting point.

Answer:

13 / 4

Step-by-step explanation:

Answer:

1. x = 10 , y = 2

Step-by-step explanation:

hope it helps ☺️

Answer:

Vertical, Horizontal, and Diagonal

Step-by-step explanation:

5 lines of Symmetry.  

It has four lines of symmetry and four sides. A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.

Answer:

10x - 12y - 4

Step-by-step explanation:

2 x 5x = 10x

2 x 6y = 12y

put it all back together again

Answer:

x= 0.4+12y/10

Step-by-step explanation:

10x - 12y = 4

10x = 4 + 12y

x= 0.4+12y/10

Answer:

40

Step-by-step explanation:

The teacher ordered 5 pizzas with 8 slices each which is 5*8=40

Answer:

[tex]a_{10}=\frac{5^{10}}{2^7} -1[/tex]

Step-by-step explanation:

[tex]a_{n}=a_1 . r^{n}-1[/tex]

Here

[tex]r=\frac{5}{2}[/tex]

[tex]a_1 =8[/tex]

For n=10 (tenth Term)

[tex]a_{10}=8(\frac{5}{2})^{10} -1[/tex]

[tex]a_{10}=\frac{5^{10}}{2^7} -1[/tex]

Answer:

$6,583.5

Step-by-step explanation:

Amanda's monthly salary increased by 4.5%. You can get the percentage by getting the increased amount in salary and dividing it by the previous salary of Amanda.

In order to get the new salary of Mary, you have to multiply the same percentage, 4.5%, to Mary's previous salary, $6,300. This will give you the amount that will be added to her new salary.

Mary's new salary is $6,583.5

Answer:

supplementary angles

Step-by-step explanation:

answer

x=6, y=-2

explanation

-2x + 8 = y -------equ 1

3x - y = 22 -------equ 2

u can use any of the simultaneous equation method

using elimination method

rearrange first from -------equ 1

-2x+8=y

-y-2x=-8

multiple through by -1

y+2x=8 -------equ 3

rearrange first from -------equ 2

3x-y=22

-y+3=22 ------equ 4

equate 3 and 4, adding them together

y+2x=8 -------equ 3

-y+3=22 ------equ 4

0+5x=30

5x=30

x=6------equ 5

replace 6 for x in any equation

using -------equ 3

y+2x=8

y+2(5)=8

y+10=8

y=8-10

y=-2

Answer:

(x, y)=(6, -4)

Step-by-step explanation:

-2x+8=y

3x-y=22

Substitute the given value of y into the equation 3x-y=22

3x-(-2x=8)=22

Solve the equation for x

x=6

Substitute the given value of x into the equation 3x-y=22

3x6-y=22

Solve the equation for y

y=-4

The possible solution of the system is the ordered pair (x, y)

(x, y)=(6, -4)

Check if the given ordered pair is the solution of the system of equations

-2x6+8=-4

3x6-(-4)=22

Simplify the equalities

-4=-4

22=22

Since all of the equalities are true, the ordered pair is the solution of the system

(x, y)=(6, -4)

Answer:

6.67625

Step-by-step explanation:

402-93-41=267/6.67625

Answer:

C.

Step-by-step explanation:

please mark me brainliest!!

Answer:

The answer is A

Step-by-step explanation:

Denominator *100* is higher

Answer:

Step-by-step explanation:

Answer:

width is 33

Step-by-step explanation:

width (b) =?

length(l)=3

perimeter (p)=?

now,

perimeter = 2(l+b)

or,72= 2(3+ b)

or,72/2= 3+b

or,36= 3+b

or,36-3= b

or,33= b

therefore width is 33

Answer:

18 feet

Step-by-step explanation:

Answer:

Nativism is the political position of preserving status for certain established inhabitants of a nation as compared to claims of newcomers or immigrants. It is characterized by opposition to immigration based on fears that the immigrants will distort or spoil existing cultural values.

Step-by-step explanation:

Answer:

Your answer would be D. 100 kg

Step-by-step explanation:

I took the test and got it correct

Hope this helps

Good luck!

The required zero that has not significant is 100, 10.0, and 1.30.

Given that,
To determine the number that has zeros that are not significant.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,

Zeros between non-zero numbers are significant.
So it contains 2.05,

Zeros to the left of the first non-zero digit are not significant.
It contains 100, 10.0. and 1.30

Thus, the required zero that has not significant is 100, 10.0 and 1.30

Learn more about the number system here:

https://brainly.com/question/22046046

#SPJ2