1) (2x - 3)2-(3x - 2)2. Factorize​

Answer:

[tex]\bold{g(x) = x+1}[/tex]

Step-by-step explanation:

Given a function:

[tex]F(x) =-x+1[/tex]

To find:

Function [tex]g[/tex] whose graph is a reflection in the y -axis for the given function = ?

Solution:

First of all, let us learn about the reflection of a point ([tex]x, y[/tex]) in y axis.

For example, let us consider a point (3, 2) on the coordinate axis.

The reflection of this point in y axis will be (-3, 2)

OR

In other words, To find the image of a point in y axis:

the x coordinate is made of negative sign and y coordinate remains the same.

A line is nothing but a number of points joined together.

So, if we want to find reflection of a line or linear function in y axis, we just make the sign of x as negative.

Given that [tex]F(x) =-x+1[/tex]

We can write it as:

[tex]F(x)=y =-x+1[/tex]

To find its reflection:

[tex]g(x) = - (-x)+1\\\Rightarrow \bold{g(x) = x+1}[/tex]

Please refer to the attached graphs of [tex]F(x)[/tex] and [tex]g(x)[/tex] .

So, the answer is:

[tex]\bold{g(x) = x+1}[/tex]

Answer:

Correlation

Step-by-step explanation:

The Simple linear regression model, also called as 'Classical Linear Regression Model' requires that X-Y data has a linear relationship.

Preliminary correlation analysis can be used to determine if data have this type of relationship. As Correlation is used to study positive or negative linear relationship between two variables.

However, difference is that Regression establishes cause effect relationship, correlation signifies just mutual correlation.

Answer:

2000

Step-by-step explanation:

38.

R = 90x - x²

R = 90(50) - 50²

R = 4500 - 2500

R = 2000

Answer:

Step-by-step explanation:

[tex]\dfrac{3+x}3=\dfrac{20}5\\\\3+x = 4\cdot3\\\\x=12-3 \\\\x= 9[/tex]                               [tex]\dfrac{4+y}4=\dfrac{20}5\\\\4+y= 4\cdot4\\\\y=16-4 \\\\y=12[/tex]

[tex]\dfrac{3+x+u}3=\dfrac{60}5\\\\3+9+u=12\cdot3\\\\u=36-12 \\\\u=24[/tex]                      [tex]\dfrac{4+y+v}4=\dfrac{60}5\\\\4+12+v=12\cdot4\\\\v=48-16 \\\\v=32[/tex]

Answer:

c = b/a

Step-by-step explanation:

Solve for c:

b/c = a

Hint: | Transform b/c = a so that c only appears in the numerator.

Take the reciprocal of both sides:

c/b = 1/a

Hint: | Solve for c.

Multiply both sides by b:

Answer: c = b/a

Answer:

(2+ab)(2+ab) is the answer

Step-by-step explanation:

Let x and y pounds of Candy A and Candy B be mixed respectively.

Rate of Candy A and Candy B are $0.78 and $1.33 per pound respectively.

Now,

(A) x + y = 8

(B) 0.78x + 1.33y = 7.84

Solving both equations :

0.33y = 1.6

x = 3.16 pounds of Candy A

y = 4.84 pounds of Candy B

Answer:

x ≤ 9

Step-by-step explanation:

x - 15 ≤ -6

x - 15 + 15 ≤ -6 + 15

x ≤ 9

Answer:14^2

Step-by-step explanation:

Answer:

14^2

Step-by-step explanation:

:)

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 0

Answer:

4/5 pounds is your answer

Step-by-step explanation:

You need to simply divide 9 to 5. You will get 1.8, but when you turn it into a fraction you get 4/5 lbs

Hope this helps! :D

Step-by-step explanation:

14 + 8 = 22

If he gave half of them in the morning = 22 x 2 = 44

Total cookies = 44

Answer:

Step-by-step explanation:

From the attachment, we can see that

<EBF = 33°

<EBD = 33°

<FED = 114°

<FBD = 66°

Part 2

The value of y is either of 70 or -80. But then, we all know that speed can not be negative, so the speed was 70 km/h

The return speed is y + 10 = 70 + 10 = 80 km/h

Total time = 350/70 + 350/(70+10)

Total time = 5 + 4.375

Total time = 9.375 hr

============================================

Work Shown:

x = price of one jump rope before the discount

x-1.80 = price of one jump rope after discount

2*(x-1.80) = total amount Gavin spends

2*(x - 1.80) = 14.38

x - 1.80 = 14.38/2 .... divide both sides by 2

x - 1.80 = 7.19

x = 7.19 + 1.80 ..... adding 1.80 to both sides

x = 8.99

Before the sale, one jump rope costs 8.99 dollars

After the sale, one jump rope costs 8.99 - 1.80 = 7.19 dollars.

This doubles to 2*7.19 = 14.38 dollars which is what Gavin spent in total. This helps confirm the answer.

Answer:

$8.99

Step-by-step explanation:

Answer:

[tex]y<-\dfrac{1}{4} x+1\\OR\\ 4y<-x+4[/tex]

Step-by-step explanation:

First of all, let us try to find out the equation.

We can easily observe from the graph the values of x and y intercept.

x intercept is the value where y coordinate is 0.

We can see that y is 0 at x  = 4

So, x intercept (4, 0)

y intercept is the value where x coordinate is 0.

We can see that y is 1 at x  = 0

So, x intercept (0, 1)

Now, we have 2 points for the equation of line.

Slope intercept form:

[tex]y=mx+c[/tex]

Slope of a line:

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

[tex]x_1 = 0\\x_2 = 4\\y_1 = 1\\y_2 = 0[/tex]

[tex]m=\dfrac{0-1}{4-0}\\\Rightarrow m =-\dfrac{1}{4 }[/tex]

[tex]y=-\dfrac{1}{4} x+c[/tex]

Putting the point (0, 1):

[tex]1=-\dfrac{1}{4} \times 0+c\\\Rightarrow c = 0[/tex]

So, the equation becomes:

[tex]y=-\dfrac{1}{4} x+1[/tex]

Let us try to put a point (0, 0) in the equation.

LHS becomes 0.

RHS becomes 1.

LHS < RHS (Only less than sign used because the line is dashed not solid)

So, the inequality is:

[tex]y<-\dfrac{1}{4} x+1\\OR\\ 4y<-x+4[/tex]

Answer:

eat po0

Step-by-step explanation:

im po0 colour in among u

Answer:

centre = (6, - 2 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 2)² = 9 ← is in standard form

with (h, k ) = (6, - 2 ) ← centre

Answer: y = 40

Explanation: In this problem, notice that y is being divided by 8 so to

get y by itself, we need to multiply both sides of the equation by 4.

So we have (8)(y/8) = (5)(8).

Noice that on the left side, the 8 and 8

cancel each other out so we're just left with y.

On the right side, we have (5)(8) which is 40.

So we have y = 40.

Answer: so what you want to do is you have the equation.

Y/8=5

so you can just say it's Y divided by 8 = 5.

The inverse operation of division is multiplication.

so know it would be y×8=5. so you would multiply 8 by 5. which would be 40 so y=40. a way to check it is subsituting 40 for Y. 40/8=5

Answer:

  g(-5) = 15

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  g(-5) = -2(-5) +5 = 10 +5

  g(-5) = 15

Answer:

252

Step-by-step explanation:

Because  you just multiply:

                   126 times 2 = 225

Answer:

  50 minutes

Step-by-step explanation:

The rate is the same, so the time is proportional to the distance:

  time to Houston = (65 min)(190/248) ≈ 49.8 min ≈ 50 min

It would take Jane 50 minutes to fly 190 miles.

Answer:

[tex]\Large \boxed{\mathrm{see \ below}}[/tex]

Step-by-step explanation:

Given.

(4x)/7 - 6 = -20

The x variable should be isolated on one side of the equation.

Adding 6 to both sides of the equation.

(4x)/7 - 6 + 6 = - 20 + 6

(4x)/7 = - 14

Multiplying both sides of the equation by 7.

(4x)/7 × (7) = - 14 × (7)

4x = - 98

Dividing both sides of the equation by 4.

(4x)/4 = - 98/4

x = - 24.5

Answer:1

Step-by-step explanation:

Answer:

8) Real; Rational

9) Real; Rational; Integer; Whole; Natural

10) Real; Rational

Step-by-step explanation:

Real numbers consists of the subsets:

Irrational Numbers:

Irrational numbers is the subset complementary to rational numbers. It includes numbers such as √(2) or π. These numbers do not repeat nor terminate.

Rational Numbers:

Rational numbers are all the others. They include the integers as well as the repeating and terminating decimals.

Integers:

Integers include the entire set of whole numbers and the negative numbers. This subset does not include decimals nor fractions. Thus, the integers are: ...-3, -2, -1, 0, 1, 2, 3... etc.

Whole Numbers:

Whole numbers is the set of natural numbers that includes 0. So, whole numbers are: 0, 1, 2, 3... and so on.

Natural Numbers:

Natural numbers or the counting numbers are all the positive, non-decimal numbers. These are 1, 2, 3... and so on. This set does not include 0.

8) [tex]1.\overline{3}=1.3333...[/tex]

The given number is not natural, whole, nor an integer because it is a decimal. It repeats, so it belongs to the rational numbers subset.

9) [tex]\sqrt4=2[/tex]

The square root of 4 is simply 2. 2 is a natural number. Because of this, this means that 2 is also a whole number, integer, and a rational number.

10)[tex]-3/4=-0.75[/tex]

The given number is a fraction and it does not reduce to a whole number, so it's not a natural number, whole number, nor an integer. It does terminate, so it belongs to the rational numbers subset.

Answer:

A

Step-by-step explanation:

it has only one of each x value

Answer:

x=3 y=1

x=4 y=2

x=5 y=3

x=6 y=4

Step-by-step explanation:

add y to both sides to get:

2x-4=y

pull out the 2 from 2x-4 to get:

2(x-2)-y = 0

We need to know that x-2 cannot equal 0 or else the solution will be negative. So we need to make x-2 equal to any other number that is not negative and make y the inverse of x-2 so they cancel out and be zero. so some solutions are:

x=3 y=1

x=4 y=2

x=5 y=3

x=6 y=4

Answer:

8,736,000

Step-by-step explanation:

Answer:

The answer is 8,736,000

Answer:

1) El valor de los ocho helados de crema es 76,48 pesos, 2) El valor total de la compra es 85,97 pesos, 3) A Miguel le queda 13,59 pesos después de pagar en el supermercado.

Step-by-step explanation:

Supóngase que los costes son en pesos mexicanos. (MXN)

1) ¿Cuál es el valor de los ocho helados y que operación debe realizar?

Se multiplicar la cantidad de helados comprados por su valor unitario, es decir:

[tex]x = (8\,helados)\cdot \left(9,56\frac{MXN}{helado} \right)[/tex]

[tex]x = 76,48\,MXN[/tex]

El valor de los ocho helados de crema es 76,48 pesos.

2) ¿Cuál es el valor total que debe pagar en la tienda?

El valor total es la suma de todos los costes de los elementos comprados:

[tex]y = 76,48\,MXN + (1\,papa)\cdot \left(3,70\,\frac{MXN}{papa} \right)+(1\,gaseosa)\cdot \left(4,525\frac{MXN}{gaseosa} \right)+(1\,chocolatina)\cdot \left(1,267\,\frac{MXN}{chocolatina} \right)[/tex]

[tex]y = 85,97\,MXN[/tex]

El valor total de la compra es 85,97 pesos.

3) Si Miguel tiene en su bolsillo $99,56. ¿Cuánto dinero le queda después de pagar en el supermercado?

El remanente se obtiene al sustraer el valor total de la compra del efectivo disponible:

[tex]z = 99,56\,MXN-85,97\,MXN[/tex]

[tex]z = 13,59\,MXN[/tex]

A Miguel le queda 13,59 pesos después de pagar en el supermercado.

Answer:

The answer is

Step-by-step explanation:

? A) The sum of x and y is a rational number.

Hope this helps....

Have a nice day!!!!

Answer:

+12

Step-by-step explanation:

1. distribute the negative 5 to 2y and negative 7

2. combine like term's -3+12-10y+35

3.Get the Y value by itself -44 from both sides -44-2y=

                                                                             -44         -44

4. divide negative 2 from both sides 2y=-44

                                                            -2= -2