This graph shows the solutions to the inequalities y > - 1/3x+5 and y< - 1/3 x -1
. Does the system of inequalities have solutions? If so, which region contains
the solutions?

Answer:

two sides and an angle of the triangle should be equal

Answer:

number of guest tickets, g, is 100 tickets

number of student tickets, s, is 125 tickets

Step-by-step explanation:

Given;

total number of tickets sold, t = 225 tickets

cost of each guest ticket,  = $5.5

cost of each student ticket, = $3.5

total cost of the tickets, Tc = $987.5

number of guest tickets = g

number of student tickets, = s

g(5.5) + s(3.5) = 987.5 ------- (1)

g + s = 225 ----------- (2)

From equation (2); s = 225 - g

Substitute the value of g in equation (1)

5.5g + 3.5(225 - g) = 987.5

5.5g + 787.5 - 3.5g = 987.5

5.5g - 3.5g = 987.5 - 787.5

2g = 200

g = 200 / 2

g = 100 tickets

Then, s = 225 - g

s = 225 - 100

s = 125 tickets

6x-8y-x+3y

= (6x-x)+(-8y+3y)

= 5x+(-5y)

=5x-5y

Answer:

5x-5y

Step-by-step explanation:

Equation;

6x-8y-x+3y(Group like terms)

Which is going to be;

6x-x-8y+3y

Then you proceed to simplify;

5x-5y

This is the final answer

Answer: ↓↓

Step-by-step explanation:

The original value of the cellphone is $650. The function represents an exponential decay because if it was exponential growth, the function would look like this:

[tex]V (x) = 650 (1.77)^{x}[/tex]

Answer:

The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

[tex]y=2x+3[/tex]

Hence, option D is true.

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

y = 2x - 1

comparing with the slope-intercept form y = mx+b

Hence, the slope of the line y = 2x - 1 is: m = 2

We know that the parallel lines have the same slopes.

Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 2 and the point (-1, 1)

[tex]y-1=2\left(x-\left(-1\right)\right)[/tex]

[tex]y-1=2\left(x+1\right)[/tex]

Add 1 to both sides

[tex]y-1+1=2\left(x+1\right)+1[/tex]

Simplify

[tex]y=2x+3[/tex]

Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

[tex]y=2x+3[/tex]

Hence, option D is true.

Answer:

Line 1 and line 2 are neither parallel nor perpendicular

Line 1 and 3 are perpendicular to each other

Line 2 and line 3 are neither parallel nor perpendicular

Step-by-step explanation

Given the equations of the line

Line 1: 4x-6y= -6

Line 2: -3y=2x+5

Line 3: y= -3/2x-5

Before we can know which line is parallel or perpendicular to each other, we need to find their slope first

For line 1:

4x-6y= -6

Write in standard form y = mx+c

-6y = -4x - 6

Divide through by -6

-6y/-6 = -4x/-6 - 6/-6

y = 2/3 x + 1

The slope of line  1 is 2/3

For line 2:

-3y=2x+5

Divide through by -3

-3y/-3 =2x/-3 + 5/-3

y = -2/3 x - 5/3

The slope of this line is -2/3

For line 3:

y= -3/2x-5

this is already written in standard format. The slope of this line is -3/2

Note that for two lines to be parallel, they must have the same slope

For two lines to be perpendicular, the product of their slope must be -1

For line 1 and line2, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular

For line 1 and line 3, we can see that their slope are not the same but the product of their slope is -1 (2/3 * -3/2 = -1), hence both lines are perpendicular.

For line 2 and line 3, we can see that their slope are not the same and the product is not -1, hence both lines are neither parallel nor perpendicular

Answer:

I believe its 45%

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

y = 33 / 15 = 11 /5

Step-by-step explanation:

subtract 3 from both sides,

15y = 33

divide 15 from both sides

y = 33/15

simplify ( divide top and bottom by 3)

y = 11/5

Answer:

its 11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

x= -4

f(x)= -4

f(-4)= -3(-4) -1

=11

Answer:

here

Step-by-step explanation:

so most of the time it would land on brown only 5% of the time would it land on red and the other there is a 0% chance

Answer:

p=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

[tex] - 3p = - 48 \\ \\ p = \frac{ - 48}{ - 3} \\ \\ p = 16[/tex]

Answer:

You selected the right one, 12^5 :)

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

i believe the answer is either A or D

[tex]\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \ frac{1}{n}}}[/tex]

A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,

[tex]\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}[/tex]

When we flip the numbers , we can clearly see that the number are in Harmonic Progression.

That is when we flip the numbers they are found to be in Arithmetic Progression .

And nth term of an Harmonic Progression is :-

[tex]\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}}[/tex]

Hence here

Substituting the respective values,

[tex]\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}[/tex]

Answer: 1

Step-by-step explanation:

Answer:

graph attached

Step-by-step explanation:

12x+9y=-36

(12x+9y)/3=-36/3

4x+3y=-12

2 functions has the same value, they are identical line

Answer:

7x-10

Step-by-step explanation:

Answer:

-6 x less than or equal to 8

Step-by-step explanation:

Answer:

(f - g)(x) = x² + 12x + 26

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² + 12x + 32

g(x) = 2 + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

Answer:

Choice A (-18.75 or -75/4)

Answer:

no, the probability is only about 18%

Step-by-step explanation:

there are total of 71 bills of varying denominations in the bag

you need to select a bill that is $10 or more to cover your $6 expense; therefore, P($ ≥ 10) = 3 + 7 + 3 / 71  or 13 /71, about 18%

Answer:

Exact Form:

17/30

Decimal Form:

0.56

Step-by-step explanation:

Answer:

0.56 i think

Step-by-step explanation:

Answer:

x-25=15 or D

Step-by-step explanation:

I promise that is the answer

Answer:

6. 8b²-5b-4

7. -3x²+9x-4

8. 3

9. 6a+15

Step-by-step explanation:

you will subtract/add the numbers with the same variables and exponent.

ex. (number 6) 7b²+ b²= 8b²

5b= 5b 8b²+5b-4

1-5= -4

(plus 5b because it didnt come out to a negative) if you have any questions, say in the comments and ill try my best to help

Answer:

no, its not equivalent

Step-by-step explanation:

10/5= 2

5/10=0.5

Answer:

Step-by-step explanation:

2 calculate rise over run

Answer:

y= -x-2

Step-by-step explanation:

Answer:

Yes, it will cost $204.30.

Step-by-step explanation:

Given that in May 2007 the price of a barrel of crude oil was $ 61, and a year later it rose to $ 126, to determine the rate of increase we must perform the following calculation:

61 = 100

126 = X

(126 x 100) / 61 = X

206.55 = X

206.55 - 100 = 106.55

Therefore, a barrel of crude oil rose 106.55% in one year, which implies a rise of 8.87% per month (106.55 / 8.87). Given that December is 7 months apart, maintaining this average increase, the price of a barrel of crude oil in December 2008 arises from the following calculation:

8.87 x 7 = 62.15

126 x 1.6215 = 204.30

Therefore, maintaining this average increase, as of December 2008 a barrel of crude oil will cost $ 204.30.

Answer:

80% of a serving

Step-by-step explanation:

First, convert  2/3 into 6ths

2/3 = 4/6

She drank 4 of 5 6ths

This is 80% of a serving