What is the domain of f(x)= (1/3)^x
O A. All real numbers
O B. x>0
O C. x< 0
O D. y > 0

Answer:

- [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

2y = - 3x - 8 ( divide all terms by 2 )

y = - [tex]\frac{3}{2}[/tex] x - 4 ← in slope- intercept form

with gradient = - [tex]\frac{3}{2}[/tex]

The gradient of the straight line 2y = -3x - 8 will be -1.5.

A straight line is a combination of endless points joined on both sides of the point.

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
The slope(gradient) 'm' of any straight line is given by:

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

It is given that the equation of the line is, 2y = -3x - 8

Rearrange the equation in the standard form of the equation as

2y = -3x - 8

y=-3/2 x-8/2

y= -1.5x - 4

Compare the obtained equation with the standard equation,y=mx+b. Where m is the gradient of the straight line.

m= -1.5

Thus, the gradient of the straight line 2y = -3x - 8 will be -1.5.

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Answer:

18 in

Step-by-step explanation:

Answer:

18 in

Step-by-step explanation:

1 ft = 12 in

Hioe this helps. Pls give brainliest.

Answer:

51 and  -27

Step-by-step explanation:

The sum of two numbers is 24 and their difference is 78. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 24. In other words, x plus y equals 24 and can be written as equation A:

x + y = 24

The difference between x and y is 78. In other words, x minus y equals 78 and can be written as equation B:

x - y = 78

Now solve equation B for x to get the revised equation B:

x - y = 78

x = 78 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 24

78 + y + y = 24

78 + 2y = 24

2y = -54

y = -27

Now we know y is -27. Which means that we can substitute y for -27 in equation A and solve for x:

x + y = 24

x + -27 = 24

X = 51

Summary: The sum of two numbers is 24 and their difference is 78. What are the two numbers? Answer: 51 and -27 as proven here:

Sum: 51 + -27 = 24

Difference: 51 - -27 = 78

Answer:

The numbers are 27 and 51

Explanation

x - y = 24

x + y = 78

Add together the equations

2x = 102

x = 51

Put into equation

51 - y = 24

27 = y

Answer:

Depends on how fast they climb. If we knew how fast they climb then we can tell, but without knowing how fast they climb we can't tell.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Subtract

Since they have the same denominator you can subtraact normally

so 2 2/3- 1 2/3

That would be 1

Answer:

25.5

Step-by-step explanation:

Just did it

Answer:

5 weeks

Step-by-step explanation:

Substract 319.5 (the amount he has to save) to the amount he has already saved, which is 21.95. Now the constant amount of change is 63 dollars each week so divided it by that. So the equation should be (319.5-21.95) and divide all that by 63 to get 4.72 or rounded to the nearest number, is 5.

Answer:

Step-by-step explanation:

the figure is a rectangle and a triangle

the rectangle has the area A=L x W

A=8*10=80ft^2

the triangle has the sides 6 and 8, with a hypothenuse of 10

A=(6*8)/2=24

the total area is 80+24=104 ft^2

Answer:

24,32,40

Step-by-step explanation:

Answer:

24,32,40

Step-by-step explanation:

hope im right!

Step-by-step explanation:

4x - 8y = 16

8y = 4x - 16

y = 0.5x - 2

Hence the slope is 0.5.

Answer:

1/2

Step-by-step explanation:

Slope from a standard form equation is [tex]-\frac{A}{B}[/tex].

A is 4 and B is -8.

[tex]-\frac{A}{B}=\frac{-4}{-8}= \boxed{\frac{1}{2}}[/tex]

Hope this helps.

Answer: 10.5 feet

Step-by-step explanation:

From the question, we are informed that Marcel is purchasing a board to build a bookcase he wants to divide the board into 1.75-foot sections and that he needs 6 sections.

The size of the board that Marcel need will be calculated by multiplying 6 by 1.75 foot. This will be:

= 6 × 1.75

= 10.5 feet

Answer:

I have solved them but I don't know what to o next

Step-by-step explanation:

1) lx- 11+ 1< 15

+11 on both sides

lx+ 1< 26

-1 on both sides

lx< 25

2) lx-11+1>15

+11 on both sides

lx+1>26

-1 on both sides

lx> 25

Answer:

Both absolute values would need to be isolated first.

You would need to write a compound inequality for each.

Both compound inequalities would compare

x – 1 to  –15 and 15.

The inequality with “<” would use an “and” statement, while the “>” would use an “or” statement.

Step-by-step explanation:

Answer:

Sure!: 8c + 4

Step-by-step explanation:

Collect Like Terms: (6c+2c)+4

Simplify: 8c + 4 (You add 6c and 2c, then just keep 4.)

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Answer:

its 24

Step-by-step explanation:

you count all the way up to 47 from 25

Answer:

46.8

Step-by-step explanation:

formula is change/ original x 100

Answer:

22%

Step-by-step explanation:

The percentage of tax can be found by calculating the percent change.

new - old / old

6084 - 7800 / 7800

= -0.22 or -22%

This means the price decreased by 22%, meaning you paid 22% in taxes.

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Answer:

Y = 3x - 1

Step-by-step explanation:

Sorry it’s late but hope this helps. Pls give brainliest.

Answer:

m=3

Step-by-step explanation:

rise/run or y/x

using the y coords/x coords

15-0/-3-(-8)

=15/-3+8

=15/5

=3

Answer: 55t

Step-by-step explanation:

The time taken by the car to stop is 1.28 seconds.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that a car is travelling at 45 miles per hour. Once the car starts to brake, its speed (s) is related to the number of seconds (t) it spends braking according to the formula shown below. s=10t+45.

The formula to calculate the speed is written as,

V = s / t

Here s = 10t + 45 substitutes the value in the formula and calculate the time,

45 = ( 10t + 45 ) / t

45t = 10t + 45

35t = 45

t = 45 / 35

t = 1.28 seconds

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Answer:

y=5/2x-16

Step-by-step explanation:

First, we want to find the slope of the original line.

m= -4+8/-1-9

m= 4/-10

m= -2/5

Because we want the perpendicular bisector, we will need the slope to be the opposite reciprocal. Therefore, our slope is

m=5/2

Now, we want to find the midpoint of the line.

9-1/2

8/2=4

-8-4/2

-12/2= -6

So, the midpoint is (4,-6)

Using the information we have, we now can find b.

-6=5/2(4)+b

-6=10+b

-16=b

That gives us our equation

y=5/2x-16

The value of x = 1/2 , y = 3 of the simultaneous equation.

"Simultaneous Equation is an essential Chapter in the Algebra branch of Mathematics. There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations. When you are asked to solve such equations, you must find values of the unknowns which satisfy all the given equations at the same time. They are Simultaneous Equations because the equations are solved at the same time. Simultaneous Equations need algebraic skills to find the values of letters within two or more equations."

Given, The equations

[tex]2x + 3y = 10[/tex] ----------- eq 1

[tex]4x - y = -1[/tex] ------------ eq 2

multiplying eq 1 by 2

[tex]4x + 6y = 20[/tex] ----------- eq 3

now subtracting eq 3 from eq 2

we get, [tex]7y = 21[/tex]

y = 3 and x = 1/2

Hence, the values of x and y = 1/2, 3 respectively.

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Answer: it D. 1,512

Step-by-step explanation: i hop this helps if it wrong sorry about that

Answer:

WAP MOMENTYSHEHWJWUE

Answer:

7) x=3, y=-7

x=0, y=-2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

(-9.5, 6.75)

Step-by-step explanation:

I inputted both equations on the desmos website and they met at this point

Answer:

How many gallons can Ivan's tank hold? 24

Answer:113

Step-by-step explanation:

I’m not really sure but the exterior angle lies on a straight line meaning that it has to amount to 180 degrees. 67 + x =180 so x = 180-67 which is 113. But I’m not entirely sure bout this.

Step-by-step explanation:

67-180=113

x=113

and the third corner =15 degrees

the answer to this question is 9x

Answer:

The answer is 15

Step-by-step explanation:

125/5=25

25-10=15

An= 5[15+10]=125