Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:

Answer:

u=7

Step-by-step explanation:

First, add 4u and 3u because they are like terms.

7u+21=70

Second, subtract 21 from both sides.  

7u=49

Finally, to isolate the variable divide 7 from both sides.

u=7

Answer:

y = -3/5x + 1.3

Step-by-step explanation:

y = mx + b

m: slope

b: y-intercept

First, let's substitute in the values.

Point: (2, 1)

Slope: -3/5

y = mx + b

(1) = (-3/5)(2) + b

1 = -0.3 + b

1 + 0.3 = -0.3 + b + 0.3

b = 1.3

Now, let's add the slope and y-intercept to the equation.

y = mx + b

m = -3/5

b = 1.3

y = -3/5x + 1.3

Hope this helped! <3

Answer:

the third one

Step-by-step explanation:

you cannot add the hypotenuse with anything else to equal a leg if that makes sense

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

[tex]H=-4.9t^2+5t+2[/tex]

The ball will hit the ground when h=0

[tex]-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}[/tex]

Answer:

9 and -10 are constant

Step-by-step explanation:

constant means it shouldnt have any variable attached to it

Answer:

3,6,18,9,10

Step-by-step explanation:

numbers

Step-by-step explanation:

i suppose you are looking for the expanded and simplified form

We can use Pascal's triangle to perform this

According to Pascal's triangle,

1

1 1

1 2 1

So, 1•3x²+2•3x•1/x+1•1/x²

3x²+6x/x+1/x²

3x²+6+1/x²

Answer:

yes

Step-by-step explanation:

Answer:

24 Tennis balls

Step-by-step explanation:

Calculation for How many tennis balls are left

First step

Since we have 12 can with 3 balls each Let the number of balls that the tennis pro has at the beginning be x

x=(12 can ×3 balls each)

x=36

Second step

Since we have 4 players who lost 3 ball each Let the total number of balls that was lost be y

y=(4 players×3 balls each)

y=12

Third step is to calculate How many tennis balls are left

Since x represent the number of balls at the beginning and y represent the number of balls that was lost , then let the number of tennis balls that was left after the session represent z

z=36−12

z=24 Tennis balls

Therefore the numbers of tennis balls that are left will be 24 Tennis balls

Answer:

The fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.

Also, the correct graph is attached below.

Step-by-step explanation:

Given the rule

''y is 3 times the value of x".

It means

y = 3x

comparing with the slope-intercept form of the line equation

y = mx+b

where y is the slope and b is the intercept

so,

The slope of y = 3x will be: m = 3

The y-intercept of  y = 3x will be: b = 0

CHECKING THE 4TH GRAPH (THE RIGHT BOTTOM SIDE)

Taking two points

(0, 0)

(2, 6)

Finding the slope between (0, 0) and (2, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [6 - 0] / [2 - 0]

                = 6 / 2

               = 3

Thus, the slope of the line = m = 3

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = 3 and b = 0 in the slope-intercept form of linear function

y = mx+b

y = 3x+0

y = 3x

Therefore, the fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.

Also, the correct graph is attached below.

Answer:

It's the bottom right graph.

Step-by-step explanation:

Answer:

(-2, -4)

Step-by-step explanation:

Since both equations are equal to y, you can set them equal to each other:

[tex]\frac{3}{2}x-1=\frac{1}{2}x-3[/tex]

Next, solve for x:

[tex]\frac{3}{2}x-1=\frac{1}{2}x-3\\x-1=-3\\x=-2[/tex]

Finally, substitute the solution for x in one of the equations (or both) to find y:

[tex]y=\frac{3}{2}(-2)-1\\y=-3-1\\y=-4[/tex]

[tex]y=\frac{1}{2}(-2)-3\\y=-1-3\\y=-4[/tex]

Therefore, the solution to the system of equations is (-2, -4).

Answer:

[tex]\frac{x+9}{x+3}[/tex] , x ≠ - 3 ;

Step-by-step explanation:

f(x) = x³ + 9x² - 25x - 225 = (x + 9)(x + 5)(x - 5)

g(x) = x³ + 3x² - 25x - 75 = (x + 5)(x + 3)(x - 5)

( [tex]\frac{f}{g}[/tex] )(x) = [tex]\frac{(x+9)(x+5)(x-5)}{(x +5)(x+3)(x-5)}[/tex] = [tex]\frac{x+9}{x+3}[/tex] , x ≠ - 3

Step-by-step explanation:

Given A(1 , -3)

Reflection across the x -axis

= A'( 1 , 3)

Reflection across the y-axis

= A'( -1 , - 3)

Reflection across the y = x

= A' ( -3 , 1)

Reflection across the y = - x

=A'( 3 , - 1)

Hope it will help ☺

Answer:

The value of  [tex]x = \frac{1}{6}[/tex]

The length of the rectangle   [tex]= \frac{3}{2}[/tex] cm

The width of the rectangle  = [tex]\frac{16}{3}[/tex] cm

Step-by-step explanation:

Step(i):-

Given that area of the rectangle = 8 cm²

Length of the rectangle (l) = 3x+1

width of the rectangle (w) = 2x+5

The area of the rectangle = length × width

Given that area of the rectangle = 8 cm²

Step(ii):-

Now

                   (3x+1) ( 2x+5)    = 8

       ⇒      3x(2x+5) +1(2x+5) =8

                    6 x² + 15x + 2x +5 =8

         ⇒     6 x² + 17x -3 =0

        ⇒      6 x² + 18x -x -3 =0

       ⇒   6 x ( x+3) -1(x+3) =0

       ⇒   6x -1 =0  and  x +3 =0

              [tex]6x = 1[/tex]  and   x =-3

             [tex]x = \frac{1}{6}[/tex]

The length of the rectangle

                               [tex]= 3 (\frac{1}{6} ) +1 \\= \frac{3}{2}[/tex]

The width of the rectangle

                            [tex]= 2 (\frac{1}{6} ) +5[/tex]

                            = [tex]\frac{16}{3}[/tex]

Answer:

Zero

Step-by-step explanation:

So we start out on a positive 7. We then add a negative (You just subtract) 7. Modified equation: 7-7

7 minus 7 equals 0 or {7 - 7 = 0}

Hope this helps!!

Answer:

0

Step-by-step explanation:

Answer:

It would be B (The 2nd option)

Step-by-step explanation:

The two triangles that can be considered similar are RTQ and SRQ. These two have one right angle and share angle Q, make them similar by AAA.

Both the 2nd option and the 4th option mention these triangles, but the triangles are not named correctly in the 4th option.

The similarity statement that is true is

ΔSRQ - ΔRTQ

The correct option is B.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

The two triangles that are similar are RTQ and SRQ. According to the AAA (Angle-Angle-Angle) similarity criterion, since they share two congruent angles, ∠RTS and ∠STQ, they must be similar. Therefore, we can write:

ΔRTQ ~ ΔSRQ

This similarity statement means that triangle RTQ is similar to triangle SRQ. So, we can use the corresponding parts of similar triangles to write:

SR / RT = SQ / TQ = RQ / RQ

where SR, RT, SQ, TQ, and RQ are the corresponding side lengths of the two triangles.

Since RQ / RQ = 1, we can simplify the above equation to:

SR / RT = SQ / TQ

This means that the ratios of the corresponding side lengths of the two triangles are equal. We can use this to find the true similarity statement:

ΔSRQ ~ ΔRTQ

So, the correct similarity statement is:

ΔSRQ - ΔRTQ.

To learn more about the congruent;

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Answer:

120

Step-by-step explanation:

-140 + 20 = 120

Answer:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Step-by-step explanation:

Let us represent:

The number of times

Ashley watched TV = x

Gabby watched TV = y

Together, Ashley and Gabby watched a total of 14 hours of television over the weekend.

= x + y = 14..... Equation 1

x = 14 - y

Ashley watched 6 times as many hours as Gabby.

x = 6y

Using substitution method

We substitute 14 - y for x

14 - y = 6y

14 = 6y + y

14 = 7y

y = 14/7

y = 2 hours

Solving for x

x = 14 - y

x = 14 - 2

x = 12 hours

Therefore:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Step-by-step explanation:

A method for this would be the tree diagram

20

/. \

10 x 2 ( u circle 2,times with 1 will times into itself)

/ \. (nothing goes into 2)

5x2 (same goes for 5 and the rest)

5x2x2= 20

3. (cant times into itself)

so 2x5x3 = 30

LCM = 30

Answer:

m = 1

Step-by-step explanation:

We can use the x & y intercepts.

Rise = 2

Run = 2

m = Rise/Run = 2/2 = 1

Answer:

[tex]3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = \frac{60}{ - 6} \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 \times - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = \frac{ - 52}{4} \\ y = - 13[/tex]

Answer:

220 student and 241 adults

Step-by-step explanation:

x+y=461

3x+4y=1624

y=-x+461-----> 3x+4(-x+461)=1624

                              -x+1844=1624

                             +x  -1624

                                   x=220

3(220)+4y=1624

660+4y=1624

4y=964

y=241

There are 241 adult tickets and 220 student tickets did Sara sell.

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

Given that;

Sara sold 461 tickets for a school play.

And, Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.

Let number of adult tickets = x

And, Number of student tickets = y

Hence, We get;

⇒ x + y = 461  .. (i)

And, 4x + 3y = 1624 .. (i)

Multiply by 3 in (i);

⇒ 3x + 3y = 1383  .. (iii)

Subtract form (ii);

⇒ x = 241

And, From (i);

⇒ x + y = 461

⇒ 241 + y = 461

⇒ y = 461 - 241

⇒ y = 220

Thus, There are 241 adult tickets and 220 student tickets did Sara sell.

Learn more about the mathematical expression visit:

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Answer:201,06

Step-by-step explanation: the formula for the A in the circle is A= r*r*pi

r=8

pi=3,14

A=8*8*3,14=201,06

false

because they have different variables, they are different terms. if they were both 4y and 4y or 4x and 4x then they would be like terms. but here, they are not.

i hope this helps!

Answer: B.False

Step-by-step explanation:This is because 4 x and 4 y have different terms.4 x has the term x while 4y has the term y.

Hope it helps . :)

Answer:

??? dont under stand

Step-by-step explanation:

Answer:

The correct answer is Target!

Step-by-step explanation:

12% off of $225 is $198

50% off of $250 is $125

25% off of $265 is $198.75

Answer:

W=4

Step-by-step explanation:

When you plug 4 into w, it changes into 4/8 which simplifies to 1/2.

1/2 times 6 is 3.

11+3=14

Answer:

The coefficient is 6 because it has a variable "x"

Answer: The answer to -64 divided by 8 would be 8.