solve for x.
3x = 6x - 2

Answer:

y - 1 = 3(x - 2)

y - 1 = 3x - 6

y = 3x - 5

Answer:

The point slope form of the line is y-1=3(x-2).

Step-by-step explanation:

If a line passes through a points [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is

[tex]y-y_1=m(x-x_1)[/tex]              .... (1)

where, m is slope.

It is given that the slope of a line is 3 and it passes through the point (2,1).

Substitute m=3, [tex]x_1=2\text{ and } y_1=1[/tex] in equation (1), to find the point slope form of the line.

[tex]y-(1)=(3)(x-(2))[/tex]

[tex]y-1=3(x-2)[/tex]

Therefore the point slope form of the line is y-1=3(x-2).

Answer:

Expression: 1 ⇒ 18 + 63 f

Expression: 2 ⇒ 25

Step-by-step explanation:

* Lets revise at first the order of operations

- The order of these operations is:

# Parenthesis

# Exponents

# Multiplication and Division which comes first from left to right

# Addition and Subtraction which comes first from left to right

- There is a word made from the first letter of each operation

  PEMDAS to remember the order of operations

* Lets solve the problem

# Expression: 1

∵ 9(2 + 7 f)

- To simplify this expression multiply the bracket by 9

∵ 9(2 + 7 f) = 9 × 2 + 7 f × 9

∵ 9 × 2 = 18

∵ 7 f × 9 = 63 f

∴ 9(2 + 7 f) = 18 + 63 f

* Expression: 1 ⇒ 18 + 63 f

# Expression: 2

∵ 6 × 7 - 3² × 9 + 4³

- At first simplify exponent

∵ 3² = 9 and 4³ = 64

∴ 6 × 7 - 3² × 9 + 4³ = 6 × 7 - 9 × 9 + 64

- Solve the multiplication first

∵ 6 × 7 = 42

∵ 9 × 9 = 81

∴ 6 × 7 - 3² × 9 + 4³ = 42 - 81 + 64

- Solve 42 - 81 first because it comes first from left to right

∵ 42 - 81 = - 39

∴ 6 × 7 - 3² × 9 + 4³ = - 39 + 64

- Add them

∵ - 39 + 64 = 25

∴ 6 × 7 - 3² × 9 + 4³ = 25

* Expression: 2 ⇒ 25

Answer:

[tex]\frac{1}{12} [/tex] inches per hour .

Step-by-step explanation:

Between 10 pm and 7:45 am there are 9 hours and 45 minutes i.e. [tex]9+\frac{45}{60} =\frac{39}{4}[/tex] hours

The water level in a swimming pool decreased by amount in [tex]\frac{39}{4}[/tex] hours  = [tex]\frac{13}{16}[/tex] inches

The water level in a swimming pool decreased by amount in 1 hour:

 = [tex]\frac{\frac{13}{16}}{\frac{39}{4}}[/tex] inches

 = [tex]\frac{13}{16} \times \frac{4}{39}[/tex] inches

= [tex]\frac{1}{4} \times \frac{1}{3}[/tex] inches

= [tex]\frac{1}{12} [/tex] inches

Hence  it drop by [tex]\frac{1}{12} [/tex] inches  each hour .

How much did it drop each hour is 0.08333 inches/hour

First step is to calculate the Decrease

Decrease = 13/16 inches

Decrease=0.8125 inches

Second step is to calculate the time interval

From 10 pm to  7:45 hours will be 9.45 hours

Time interval= (9 + 45/60) hours

Time interval=9.75 hours

Now let determine How much did it drop each hour

0.8125/9.75 inches/hour

=0.08333 inches/hour

Inconclusion How much did it drop each hour is 0.08333 inches/hour

Learn more here:

https://brainly.com/question/18279968

Answer:

x=-81

Step-by-step explanation:

Multiply both sides of the equation by 3 to eliminate the fraction on the left side.

[tex]-x/3(3)=27(3)[/tex]

[tex]-x=81[/tex]

Divide both sides by -1 to isolate x on the left side of the equation

[tex]-x/-1=81/-1\\x=-81\\[/tex]

Answer:

x = - 81.

Step-by-step explanation:

Given  : [tex]\frac{-x}{3} = 27[/tex].

To find : solve the equation.

Solution: We have given

[tex]\frac{-x}{3} = 27[/tex].

On multiplying both sides by 3

-x = 27*3.

On dividing both sides by -1.

x = - 81.

Therefore, x = - 81.

Answer:

The answer is 480

Step-by-step explanation:

281.25-5.25a=2.75

step by step:

so you divide the total amount by two and you get 140.62

then you divide that by 5.25 and you get 26.78

plug that into a and you get 140.62

then you take the remainder which is 140.62 and you divide that by 2.75

which is 51.13 and that will be your number for s

and at the end you should get the remainder of 140.62

then you multiply 140.62 by 2 and you get were you started and thats how you check your answer

Select all equations that could represent the relationship between the number of

number ofstudents, s, the number of adults, a, and the dollar amount received at the game.

The equations that could represent the relationship between the number of students, s, the number of adults, a, and the dollar amount received at the game is 281.25 – 5.25a = 2.75s

let

student fee = $2.75

Adult fee = $5.25

Total income = $281.25

Number of students = s

Number of adults = a

The equation:

Total income = (student fee × Number of students) + (Adult fee × Number of adults)

A. 281.25 – 5.25a = 2.75s

True

B. a = 53.57 - 13:25

Not true

C. 281.25 -5.25s = a

Not true

D. 281.25 +2.75a = s

Not true

E. 281.25 +5.25s = a

Not true

Therefore, the equations that could represent the relationship between the number of students, s, the number of adults, a, and the dollar amount received at the game is 281.25 – 5.25a = 2.75s

Read more:

https://brainly.com/question/22940808

Answer:

[tex]\large\boxed{A=6.25\pi\ km^2\approx19.625\ km^2}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

We have the length of a diameter d = 5 km

We know: d = 2r. Therefor r = 5km : 2 = 2.5 km.

Substitute:

[tex]A=\pi(2.5)^2=6.25\pi\ km^2[/tex]

If you want an approximation, then

[tex]\pi\approx3.14\to A\approx(6.25)(3.14)=19.625\ km^2[/tex]

Hey!

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

Formula: A = πr²

Diameter: d / 2 = r

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

Solution:

A = (3.14)(2.5)²

A = (3.14)(6.25)

A = 19.625km.

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

Answer:

The area of the circle is 19.625km. or 6.25π km.

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

Hope This Helped! Good Luck!

Answer:

-8, -5, -20.

Step-by-step explanation:

f(0) = 6(0) - 8  = -8

f(1/2) = 6(1/2) - 8 = -5

f(-2) = 6(-2) - 8 = -20.

[tex]\text{Hello there!}\\\\\text{You're plugging in the values 0, 0.5, and -2 to x}\\\\\text{Plug them into the equation:}\,\,f(x) = 6x - 8\\\\\text{Solve:}\\\\f(x) = 6(0) - 8\\\\\boxed{f(x)=-8}\\\\f(x) = 6(0.5) - 8\\\\f(x) = 3 - 8\\\\\boxed{f(x)=-5}\\\\f(x) = 6(-2) - 8\\\\f(x)=-12-8\\\\\boxed{f(x)=-20}\\\\\text{Those three solutions will be your answer}\\\\\large\boxed{\text{Answer:}\,\,-8;-5;-20}[/tex]

You want to keep the variable on the left and number on right.

So, we need to get rid of 9 and -4y. Let's start with 9.

4y+9=-4y-7

Subtract nine from both sides.

4y=-4y-16

Now add 4y on both sides.

8y=-16

Finally, divide both sides by 8 to get y=-?.

8y/8=-16/8

Therefore, the answer is y=-2.

as you would already know, we start off to gettting any inverse of any expression by doing a quick switcheroo on the variables and then we solve for "y".

[tex]\bf y = \cfrac{x-6}{x+5}\implies \stackrel{\textit{quick switcheroo}}{x = \cfrac{y-6}{y+5}}\implies x(y+5)=y-6\implies xy+5x=y-6 \\\\\\ xy+5x+6=y\implies 5x+6=y-xy\implies 5x+6=\stackrel{\textit{common factor}}{y(1-x)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{5x+6}{1-x}=\stackrel{f^{-1}(x)}{y}~\hfill[/tex]

For this case we have to:

x: Represents the unknown number

y: Represents the exponent of base 10

So, considering a system of equations we have:

[tex]x * 10 ^ y = 40,000\\\frac {x} {10 ^ y} = 0.000004[/tex]

From the first equation we have:

[tex]10 ^ y = \frac {40,000} {x}[/tex]

Substituting in the second equation:

[tex]\frac {x} {\frac {40,000} {x}} = 0.000004\\\frac {x ^ 2} {40,000} = 0.000004\\x ^ 2 = 40,000 * 0.000004\\x ^ 2 = 0.16\\x = \pm \sqrt {0.16}[/tex]

We choose the positive value:

[tex]x = 0.4[/tex]

So, the number is 0.4.

So:

[tex]10 ^ y = \frac {40,000} {0.4}\\10 ^ y = 100,000\\y = 5[/tex]

Thus, the exponent is 5.

Answer:

Yara use 0.4 and[tex]10 ^ 5[/tex]

Answer:

0.4 and  10.5

Step-by-step explanation:

2.6 feet per step is the answer

Answer:

1lb to $0.70, 5lb to $3.50, 10lb to $7, 15lb to $10.50

Step-by-step explanation:

Turn your ratios into fractions and place them near each other. you multiply across then divide with the remaining number.

Answer:

7

Step-by-step explanation:

To calculate f(g(2)) evaluate g(2) then evaluate f(x) for this value

g(2) = - 2(2) = - 4, then

f(- 4) = 3 - (- 4) = 3 + 4 = 7

Answer:

Step-by-step explanation:

the line for equation : x = - 3

Answer:

1.75*10 to the power of 5

Step-by-step explanation:

start by moving the decimal over until only one number is in front of the decimal. this is because in scientific notation a number can't be higher than 9.

check how many places you move the decimal over (5). 1.75000 needs to be simplified (since that's the point of scientific notation) and can be simplified to 1.75.

the answer is 1.75 multiplied by ten to the power of digits the decimal moved (5) so the answer is 1.75*10 to the power of 5

175,000 in scientific notation is 1.75 × [tex]10^5[/tex].

To express the number 175,000 in scientific notation, follow these steps:

Move the decimal point in the number to the position after the first non-zero digit. For 175,000, this is 1.75.

Count the number of places the decimal point has moved to determine the exponent of 10. In this case, the decimal point moves 5 places to the left.

Combine the number obtained in the first step with the power of 10 determined in the second step. Thus, 175,000 in scientific notation is 1.75 × [tex]10^5[/tex].

This provides a concise representation of the number.

Step-by-step explanation:

From the diagram,

AC = AB + BC

BC = AC - AB

BC = 54 - 25 = 29

Answer:

0.350 is bigger

Step-by-step explanation:

Answer:

0.305

Step-by-step explanation:

When working with decimals, it would be the smaller number that is bigger. .305 is bigger because .305 is 305 points away from 0 and .350 is 350 points away from 0!!

Hope this helps!!!

-Unicorns110504

Answer: Adult tickets = 123

              Student tickets = 235

Step-by-step explanation:

Let x represent the number of adult tickets sold and

let y represent the number of student tickets sold

Then create two equations: Quantity & Cost

Cost:    3.25x + 1.50y = 752.25

Qty:           x   +        y =  358

I am going to solve the system using the substitution method.

You can also solve using the elimination method.

Since x + y = 358

then        y = 358 - x

Substitute y in the Cost equation with 358 - x    and solve for x

3.25x + 1.50(358 - x) = 752.25

3.25x  + 537  - 1.50x = 752.25

1.75x    + 537             = 752.25

1.75x                          = 215.25

      x                          = 123

Now substitute x with 123 into the Quantity equation to solve for y

 x  +  y = 358

123 + y = 358

         y = 235

Answer:

[tex]45\times 32 \neq (45\times 3) + (45\times 2)[/tex]

Step-by-step explanation:

First we will evaluate the value of the expressions.

[tex]45\times 32 = 1440[/tex]

[tex](45\times 3) + (45\times 2) = 225[/tex]

Hence, Saleem made an error in the evaluation of product of 45 and 32.

Saleem did a mistake in placing the values that is in 32, 3 is at ten's place so he should have multiplied 45 by 30 instead of 3.

The product can be evaluated in a correct manner as:

[tex](45\times 30) + (45\times 2) = 1350 + 90 = 1440[/tex]

Answer:

option c) they are parallel !!

Step-by-step explanation:

If two lines are perpendicular to the same line that is they both make 90° with the same line have difference in their angle 0° with respect to the same line , and line having difference in their angle as 0° are parallel to each other !

Final answer:

The degree of the polynomial 5a⁶bc²+8d⁵+7e⁶f²-10g⁴h⁷ is 11, determined by the highest sum of exponents in any term of the polynomial, which is found in the term -10g⁴h⁷.

Explanation:

The degree of a polynomial is the highest exponent of its variables when it is expressed in standard form. To find the degree of the given polynomial 5a⁶bc²+8d⁵+7e⁶f²-10g⁴h⁷, we look at each term individually and sum the exponents of the variables within that term. The terms of the polynomial are:

5a⁶bc² with a degree of 6 + 1 + 2 = 9

8d⁵ with a degree of 5

7e⁶f² with a degree of 6 + 2 = 8

-10g⁴h⁷ with a degree of 4 + 7 = 11

Comparing the sums of the exponents, we see that the term -10g⁴h⁷ has the highest sum which is 11. Therefore, the degree of the given polynomial is 11.

Answer:

Step-by-step explanation:

f(x) = 10x – 4  

10x = f(x)+4

x = f(x)/10 + 2/5

the inverse is y = x/10 + 2/5

Answer:

y = -6

Step-by-step explanation:

The y intercept is when x equals 0 , and as you can see in the coordinate, the x is zero so the y is -6. Since the slope is undefined, the answer is y=-6. I know that seems confusing, but when the slope is undefined, it just means that it is a straight line.

Answer: Dimes: 11

Quarters: 48

Step-by-step explanation:

48/4= 12.00

11•0.10= 1.10

12+1.10= 13.10

Answer:

[tex]12\frac{2}{7}[/tex]

Step-by-step explanation:

we have

[tex]1\frac{3}{7} +10\frac{6}{7}[/tex]

step 1

Convert mixed number to an improper fraction

[tex]1\frac{3}{7}=\frac{1*7+3}{7}=\frac{10}{7}[/tex]  

[tex]10\frac{6}{7}=\frac{10*7+6}{7}=\frac{76}{7}[/tex]

step 2

Substitute in the expression above and find the sum

[tex]\frac{10}{7}+\frac{76}{7}=\frac{86}{7}[/tex]

Convert to mixed number

[tex]\frac{86}{7}=\frac{84}{7}+\frac{2}{7}=12\frac{2}{7}[/tex]