What is the equation of the line that passes through the point (5,1) and has a slope
of 6/5?

Answer:

option C, x=1

Step-by-step explanation:

[tex]2^{9x-3} = 8^{3-x}[/tex]

[tex]2^{9x-3} = (2^3)^{3-x}[/tex]

[tex]2^{9x-3} = 2^{9-3x}[/tex]

cut 2 from LHS and RHS  you will get,

9x-3 = 9-3x

9x + 3x = 9 + 3

12x = 12

x = 12/12

x = 1

therefore, option C is the correct option

hope it helps you!

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{x = 1}}}}[/tex]

Option C is correct.

Step-by-step explanation:

[tex] \text{First ,\: let's \: know \: about \: exponential \: equation} : [/tex]

An equation in which variables appears as an exponent of a base is known as exponential equation. The following axioms are useful while solving the exponential equations :

Thus , while solving an exponential equation, we should simplify the equation till the equation is obtained in the form [tex] \sf{ {a}^{x} = {a}^{b}} [/tex] or aˣ = 1 .

Now, let's start to solve :

[tex] \sf{ {2}^{(9x - 3)} = {8}^{( 3 - x)}} [/tex]

➸ [tex] \sf{ {2}^{9x - 3} = {2}^{3(3 - x)} }[/tex]

➸ [tex] \sf{ {2}^{9x - 3} = {2}^{9 - 3x}} [/tex]

➸ [tex] \sf{ \cancel{2} ^{ \: 9x - 3} = \cancel{2} ^{ \: 9 - 3x} }[/tex]

➸ [tex] \sf{9x - 3 = 9 - 3x}[/tex]

➸ [tex] \sf{9x + 3x = 9 + 3}[/tex]

➸ [tex] \sf{12x = 12}[/tex]

➸ [tex] \sf{ \frac{12x}{12} = \frac{12}{12}} [/tex]

➸ [tex] \boxed{ \sf{x = 1}}[/tex]

The value of x is 1 .

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

It'll take 11 years till they're the same

Answer:

7.639

Step-by-step explanation:

7.639 rounds to 7.64 which is the closest on I could find to 7.62.

Answer:

 I think the answer is 7.636

Step-by-step explanation:

Answer:

3/2

Explanation: Just did this on Edge

Answer:

93.6 becasue there are 12 donuts in a dozen. So you multiply 12 by 7.80.

Answer:

A

Step-by-step explanation:

The answer is:

5 5/8

I got this by multiplying 2 1/4 and 1 1/2 first and i got 3 3/8, then multiplied that number with 5/3

Answer:

0.39

Step-by-step explanation:

Answer:

1.87

Step-by-step explanation:

Answer:

Sorry if I'm late!!!

D. Used reason to improve people's lives

Explanation:

The enlightenment was a time when philosophers challenged the teachings of the catholic church.

Answer:

19.47

Step-by-step explanation:

Answer:10.2$

Step-by-step explanation:4.25 times 2.40=10.2

Answer:

4.25 * 2.40 = 10.2 pretty simple

Step-by-step explanation:

Answer:

poop

Step-by-step explanation:

Answer:

Explained below

Step-by-step explanation:

Polynomial Roots

If x=a is a root of f(x), then f(a)=0

We will test the following functions to check if a=2 is a root.

[tex]h(2)=8-2^3=8-8=0[/tex]

Thus m=2 is a root of h

[tex]f(2)=2^3-2\cdot 2^2+2[/tex]

[tex]f(2)=8-2\cdot 4+2=8-8+2=2[/tex]

Thus g=2 is not a root of f

[tex]f(2) = 2^3 - 4\cdot 2^2 + 2 + 6[/tex]

[tex]f(2) = 8-16+8=0[/tex]

Thus a=2 is a root of f

[tex]f(2)=2^3 - 2^2 - 4[/tex]

[tex]f(2)=8 - 4 - 4=0[/tex]

Thus x=2 is a root of f

Answer:

answers are A, C, and D

Step-by-step explanation:

THIS IS CORRECT

Standard form:

Ax + By = C

First make it into slope-intercept form first:

y = mx + b

Find b by substituting the given to their respective positions:

-2 = 3(6) + b

-2 = 18 + b

-2 - 18 = b

-20 = b

Now the complete version is:

y = 3x - 20

Arrange the equation:

y = 3x - 20

-3x + y = -20

Easy :)

Answer:

3/9

1 x 3

1 x 9

Step-by-step explanation:

Answer:

The ratio is 1:4

Step-by-step explanation:

For every minute of talking, it costs him 4 cents, and so on.

Answer:

I assume you're asking for the volume, which is 224

Step-by-step explanation:

4x7x8=224

F + 3!=0, g = (F^2 + 5 F + 20)/(9 (F + 3)), x = -14/(F + 3)

Step-by-step explanation:

Answer:

After 11 weeks, Darnell′s savings account will have a total of $8,360.

Step-by-step explanation:

The data provided is as follows:

   n:    1        2       3        4

f (n): 260   360   460   560  

Consider the data for f (n).

The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.

The nth term of an arithmetic sequence is:

[tex]a_{n}=\frac{n}{2}[2a+(n-1)d][/tex]

Compute the value of f (11) as follows:

[tex]f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100][/tex]

        [tex]=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360[/tex]

Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.

Answer:

(-4, -17), (-3, -10), (-2,5), (-1,2)

All the coordinates are represent linear function.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The coordinates are,

⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)

⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)

⇒ (1, -7), (2, -10), (3, -13), (4, -16)

⇒ (1, 1), (2, 4), (3, 7), (4, 10)

Now,

We know that;

A relation between a set of inputs having exactly one output each is called a linear function.

Clearly, All the coordinate have exactly one output for every input.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Answer:

1. add 14 to both sides

b/2 = 8E + 14

2. multiply both sides by 2

b = (8E + 14) x 2

3. regroup terms

b = 2(8E + 14)

Hope this helped :)

Answer:

2x+3y=-6

Step-by-step explanation:

Answer:

100+100=200

Step-by-step explanation:

hope it helps :)

Answer:

200

Step-by-step explanation:

100 + 100 = 200

Answer:  Oldi gives the best value of money.

Step-by-step explanation:

Lidal's deal : 9 rolls for £3.51

Oldi's deal : 4 rolls for  £1.52

Cost per roll = [tex]\dfrac{\text{total cost}}{\text{Number of rolls}}[/tex]

So,

For Lidal, Cost per roll = [tex]\pounds\dfrac{3.51}{9}=\pounds0.39[/tex]

For Oldi', Cost per roll = [tex]\pounds\dfrac{1.52}{4}=\pounds0.38[/tex]

Clearly,  [tex]\pounds 0.39> \pounds 0.38[/tex]

Hence, Oldi gives the best value of money.

Answer:

1

Step-by-step explanation:

Answer: -3

Step-by-step explanation:because -3 looks like it is smaller, but when a number is negative, the smaller the number, the greater the value actually is.