3y-4(5x-3y+y²) expand and simplify​

Answer:

6x - 2y > 8

First, solve the inequality (Isolate the y-variable & put it in function format):

[tex]6x - 2y > 8\\-2y > 8 - 6x\\(-1)(-2y) > (-1)(8-6x)\\2y < 6x-8\\y < \frac{6x-8}{2} \\y < 3x - 4[/tex]

Second, graph the function y = 3x - 4 on the graph.

Third, shade in the area below the line(where y-values are smaller).

Answer:

1st option

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (9, - 1)

m = [tex]\frac{-1-7}{9-(-3)}[/tex] = [tex]\frac{-8}{9+3}[/tex] = [tex]\frac{-8}{12}[/tex] = - [tex]\frac{2}{3}[/tex] , then

y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (9, - 1 ) , then

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - [tex]\frac{2}{3}[/tex] x + 5 ← equation of line

Answer:

2+4/6=1

y-2/x-6=1

y-2=x-6

y=x-4

or y+4=x

Answer:

3rd option

y + 4 = x

Step-by-step explanation:

look,

point A (0, -4) forms the y intercept

(remember the condition for y intercept? the coordinates for which value of x is 0)

so in the equation

[tex]\boxed{ y= mx+c}[/tex]

c being the y intercept is equal to (-4)

finding the slope :-

[tex]m = \frac{ 2 + 4 }{6 - 0} \\ = \frac{6}{6} = 1[/tex]

plugging all these values into the equation

y = 1x - 4

y= x - 4

taking 4 to the other side

y+ 4 = x

9514 1404 393

Answer:

  C.  f^-1(x) = (x +4)^2; x  ≥ -4

Step-by-step explanation:

The range of the given function f(x) is -4 ≤ f(x). This will be the domain of the inverse function.

We find the inverse function by solving ...

  x = f(y)

  x = √y -4

  x +4 = √y

  (x +4)^2 = y

The inverse function is ...

  f^-1(x) = (x +4)^2 . . . for x ≥ -4

Answer:

Graph:

Solution: (1, 1)

Check:

y = -3x +4

1 = -3 +4

1 = 1

y = 3x -2

1 = 3 -2

1 = 1

Answer:

the first choice

Step-by-step explanation:

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.

then it means if the events are independent then the probability is multiplying the probability of each event.

Answer:

0.72 km per hour

Step-by-step explanation:

First, find the speed in meters per hour. Create a proportion where x is this speed:

[tex]\frac{36}{3}[/tex] = [tex]\frac{x}{60}[/tex]

3x = 2160

x = 720

So, the speed is 720 meters per hour. Convert this to kilometers per hour by dividing 720 by 1000, since there are 1000 meters in a kilometer:

720/1000

= 0.72

So, the speed of the conveyer belt is 0.72 km per hour

You can use the same reasoning as I provided on your other question (URL 24277817).

"statistical" has 11 total characters, thus 11! total permutations.

• s, a, and i each appear 2 times

• t appears 3 times

Then the number of distinguishable permutations is

11! / (2! × 2! × 2! × 3!) = 831,600

Answer:

let:

4x-9=2x+3

4x-2x=3+9

2x=12

x=12/2

x=6 Ans

Step-by-step explanation:

reflection under

x-axis

hope this will help you

The line of reflection is given as  x-axis.

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is f(x + a).

The coordinates of the triangle SKY before and after reflection are given as below,

S(-7, 2) → S'(-7, -2)

K(-1, 8) → K'(-1, -8)

Y(-2, 1) → Y'(-2, -1)

It is clear from the transformed coordinates that the x coordinates are the same but y-coordinate changes.

Thus, the reflection is about x-axis.

Hence, the line of reflection is x-axis.

To know more about transformation of graph click on,

https://brainly.com/question/10059147

#SPJ5

Answer:

m=y2-y1/x2-x1 ⇒ m=-48+64/-15+21

m=16/6=8/3

y-y1/x-x1= m⇒ 8/3=y+64/x+21

8x+168=3y+192

    3y=8x-24

x-intercept

3(0)=8x-24

x=24/8 →x=3

x-intercept: (3,0)

OAmalOHopeO

Answer:

A, E, F

Step-by-step explanation:

From the angles given, we can infer that ΔPQR is a 30-60-90 special triangle. In a 30-60-90 triangle, the leg opposite the 30 degree angle is 1/2 the hypotenuse and the leg opposite the 60 degree angle is √3 times the one opposite the 30. Using this, we can say:

PR = 1/2 PQ which is just 2 PR = PQ(E)

PR √3 = QR (A)

We can substitute in PR from the first equation to the second to get:

√3/2 PQ = QR(F)

Answer:

11/12 miles Lyon walk.

Step-by-step explanation:

3/4 -> 9/12

1/6 -> 2/12

9 + 2 = 11

The solution is :about  11/12 miles Lyon walk.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

Lyon walked 3/4 mile from school to the soccer field.

He then walked 1/6 mile home.

now, we have to find that,

About how many miles did Lyon walk

so, we need to add the both distance

i.e.  3/4 + 1/6

so, we have,

3/4 -> 9/12

1/6 -> 2/12

so, we get,

9 + 2 = 11

i.e. 3/4 + 1/6

= 9/12 + 2/12

=11/12

Hence, about  11/12 miles Lyon walk.

To earn more on addition click:

brainly.com/question/29560851

#SPJ2

Answer:

2a times the sq root of 2a or 2a (2a)**1/2

Step-by-step explanation:

(8a**3)**1/2 =

((2**2 * 2) (a**2) (a))**1/2 then take out and squares

2a (2a)**1/2

or 2a times the sq root of 2a

Answer:

0.9797

Step-by-step explanation:

100*101% = 101

101*0.97% = 97.97% = 0.9797

Answer:

[tex]\boxed{\sf x = 7 }[/tex]

Step-by-step explanation:

We are here given a logarithmic equation and we need to solve it out and then find the value of x. The given equation is ,

[tex]\sf\longrightarrow log_6 + log_6 ( x -1) = 1 [/tex]

Here I am assuming that the base of the logarithm is 6 . The equation can be written as ,

[tex]\sf\longrightarrow log_6 1+ log_6 ( x -1) = 1 [/tex]

Recall the property of log as , [tex]\sf log_x a + log_x b = log_x(ab) [/tex] , on using this property we have ,

[tex]\sf\longrightarrow log_6 \{ 1 ( x -1)\} = 1 [/tex]

Simplify ,

[tex]\sf\longrightarrow log_6 ( x -1) = 1 [/tex]

We know that , if [tex]\sf log_a b = c [/tex] then in expotential form it can be expressed as [tex]\sf a^c = b [/tex] . Using this we have ,

[tex]\sf\longrightarrow 6^1 = x - 1[/tex]

Simplify ,

[tex]\sf\longrightarrow 6 = x - 1[/tex]

Add 1 both sides ,

[tex]\sf\longrightarrow x = 6 + 1[/tex]

Therefore ,

[tex]\sf\longrightarrow \boxed{\blue{\sf \quad x = 7\quad }} [/tex]

Hence the value of x is 7 .

Answer:

x=7

Step-by-step explanation:

log6(1) + log6 (x-1) = 1

We know that log (a) * log (b) = log (ab)

log6 (1*(x-1)) = 1

log6 (x-1) = 1

Raising each side to the base of 6

6 ^log6 (x-1)  = 6^1

x-1 = 6

Add 1 to each sdie

x-1+1 = 6+1

x=7

Answer:

[tex]2 {x}^{2} - 6x - 1 = 0 \\ a = 2 \: \: \: b = - 6 \: \: \: c = - 1 \\ \\ x = \frac{6\binom{ + }{ - } \ \sqrt{ {6}^{2} - 4(2)( - 1)} }{2 \times 2} \\ \\ x = \frac{6 \binom{ + }{ - } \sqrt{44} }{4} \\ x = \frac{6 + \sqrt{44} }{4} \\ \\ or x = \frac{6 - \sqrt{44} }{4} [/tex]

I hope that is useful for you :)

Answer:

it should be 3 so letter c

Step-by-step explanation:

I hope this help

Answer:

2(x - 3)^2 - 25.

Step-by-step explanation:

2x^2-12x-7

= 2(x^2 - 6x) - 7

= 2[(x - 3)^2 - 9] - 7

= 2(x - 3)^2 - 18 - 7

= 2(x - 3)^2 - 25.

Answer:

Three times a number minus two times a number

3x-2x

=x

Answer:

This would not be 20

Step-by-step explanation:

This question can be thought as a Pythagoras question.

By subtracting 2cm from both the left side ZW, and the right side YX, you will have a right angled triangle WYX (or ZYX, since after subtracting 2cm Z and W are essentially the same point)

I have attached a crude drawing of what the triangle is looking like, we are looking for the unknown value marked with the ?

Pythagoras states that [tex]a^{2} +b^{2} =c^{2}[/tex]

We are given the lengths 2cm and 20cm, which can be thought of as a (or b) and c. Substitute in the values 2 and 20 and solve for the unknown

Answer: 289,952,278

Step-by-step explanation: Big brain

Answer:

1372/3 π

that's the volume

the answer is in the picture

Answer:

C

Step-by-step explanation:

The graph is 5x^2. Hence the option C is correct

The required function g(x) is 5x² for the given graph, which is the correct option (C).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The given function is as follows:

f(x) = x²

Substitute the value of x = 1 in the above equation,

f(1) = 1

As per the given graph, we have

g(1) = 5

Now, we can write the proportion as:

f(x)/g(x) = f(1)/g(1)

Substitute the known values in the above proportion, and solve for g(x):

x²/g(x) = 1/5

Cross-multiplying and we get:

g(x) = 5x²

Therefore, the required function g(x) is 5x².

Learn more about the functions here:

brainly.com/question/12431044

#SPJ7

Answer:

C. 49, x-7

Step-by-step explanation:

(A+B)^2 = A^2 + 2AB + B^2

-14x = 2*A*B

where A=x

Therefore B=-7

and (x-7)^2=x^2-14x+49

Answer:

I know the answer...

Step-by-step explanation:

but i dont know the question (i also dont know how to comment so i have to do it as an answer)... thanks

Answer:

- 5

Step-by-step explanation:

Substitute x = - 2 into f(x)

f(- 2) = 2(- 2) - 1 = - 4 - 1 = - 5