Write and solve an equation to find the value of x.

Answer:

y = 44

Step-by-step explanation:

Given

f(x) = [tex]\frac{(4x-4)(x-12)}{x-12}[/tex] ← cancel the factor (x - 12)

     = 4x-4

Removing this factor creates a hole at

x - 12 = 0 ⇒ x = 12

Substitute x = 12 into the simplified f(x)

y = 4(12) - 4 = 48 - 4 = 44

That is hole at (12, 44 )

Answer:

360cm3

Step-by-step explanation:

To do this, you can multiply the base (l * w) by the height to determine the volume. This would be 36*10=360. Then remember that it is a 3 dimensional shape, so the valume is cubed.

Answer:

Step-by-step explanation:

The figure is a combination of a triangle and a rectangle

Area of rectangle = bh = 15(5) = 75

We have no way of finding the height of the triangle, unless there is some information that I don't see with regard to the figure.

Answer: To determine the correct statement, you need to find a pattern in the values of D(t). You can do this by finding the difference between consecutive values of D(t).

The difference between -60 and 0 is 60.

The difference between 0 and 10 is 10.

The difference between 10 and 90 is 80.

The difference between 90 and 100 is 10.

The difference between 100 and 130 is 30.

The difference between 130 and 150 is 20.

The pattern that emerges is that the difference between consecutive values of D(t) is always 25. This means that the correct statement is "The function is D(t)=25t−60". The correct answer is therefore d.

Step-by-step explanation:

Answer:

Stretch the graph of f(x) = x + 3 vertically by a factor of 2.

The "same" transformations result in f(x) = 2x + 5

The "different" transformation results in f(x) = 2x + 6

Step-by-step explanation:

Transformation Rules

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]

[tex]a\:f(x) \implies f(x) \: \textsf{stretched parallel to the $y$-axis (vertically) by a factor of $a$}[/tex]

[tex]f(ax) \implies f(x) \: \textsf{stretched parallel to the $x$-axis (horizontally) by a factor of $\dfrac{1}{a}$}[/tex]

Carry out the given transformations.

Given function:

[tex]f(x) = 2x + 3[/tex]  

Translation of 2 units up:

[tex]\begin{aligned}\implies f(x) + 2&= 2x + 3 + 2\\&=2x+5\end{aligned}[/tex]

Given function:

[tex]f(x) =x + 3[/tex]

Vertical stretch by a factor of 2:

[tex]\begin{aligned}\implies 2f(x)&=2(x+3)\\&=2x+6\end{aligned}[/tex]

Given function:

[tex]f(x) = x + 5[/tex]

Horizontal shrink by a factor of 1/2:

[tex]\implies f\left(\dfrac{1}{\frac{1}{2}}x\right)=f(2x)=2x+5[/tex]

Given function:

[tex]f(x) = 2x + 3[/tex]

Translation of 1 unit left:

[tex]\begin{aligned}\implies f(x+1) &= 2(x+1) + 3\\&=2x+5\end{aligned}[/tex]

Three of the transformations result in the same function f(x) = 2 + 5.

Therefore, the transformation that does not belong with the other three is:

The Two steps equation in mathematics can be solved within exactly two steps by performing operation on both sides of the equation .

What is a Two Step Equation ?

The Two Step Equation can be defined as the equations that can be solved exactly within two steps.

When solving the  two step equation, we have to perform the operation on both sides of equals to sign.

To solve the equation we need to perform same operation on both sides of equation.

For Example ⇒ Solve [tex]3x+3=12[/tex] ;

Step1 : we Subtract 3 from both sides to isolate the variable x.

⇒ [tex]3x + 3 - 3 = 12 - 3[/tex]

⇒ [tex]3x = 9[/tex]

Step2 : We Divide both the sides of equation by 3 and solve for x.

⇒ [tex]\frac{3x}{3} =\frac{9}{3}[/tex]

⇒ [tex]x = 3[/tex] ;

Therefore , the given equation is solved in two steps .

The given question is incomplete , the complete question is

How do you solve a 2 step equation ?

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Answer:

i need help too

Step-by-step explanation:

plese

The probability that a randomly selected student drives to school is [tex]\frac{2}{5}[/tex]

It is correct for Acellus 100%

Explanation: Trust me lol

2/5 is the probability that a randomly selected student drives to school. ​

It is a branch of mathematics that deals with the occurrence of a random event.

Given that A survey of 100 high school students provided this frequency table on how students get to school.

The total number of students drive to school are 2+13+25

40 students drive to school.

The total number of students in school is 100.

We need to find the probability that a randomly selected student drives to school.

P(Drive to school)=40/100

=2/5

Hence, 2/5 is the probability that a randomly selected student drives to school. ​

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A line's x-intercept as well as y-intercept are the points at which the x- and y-axes, respectively, are crossed.

Now, According to the question:

Let's know:

Definition of Intercept

The term "intercept" refers to the location where a line and curve crosses an graph's axis. The x-intercept would be the point at which the x-axis gets crossed. The y-intercept would be the point at which the y-axis becomes crossed.

The x- as well as y-axis intersection point gets what is meant when a line has an intercept. The y-axis was often taken into account if indeed the axis is also not stated. The letter "b" can be typically used to represent it.

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The horizontal distance that the boat is from the lighthouse is 920.31 feet

An equation is used to show the relationship between numbers and variables.

Trigonometric ratio shows the relationship between the sides and angles of a right angled triangle.

A beacon light is 113 feet above the water. The angle of elevation to the beacon is 7 degrees.

Let d represent the horizontal distance from the house.

Using trig ration:

tanФ = opposite/adjacent

Substituting:

tan(7) = 113 / d

d = 920.31 feet

The horizontal distance is 920.31 feet

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An average of 782 travelers miss their flight each day during a typical day. In contrast, 1,835 passengers are late for their flights every day over the Christmas holiday, which results in 14 planes being delayed.

1,053 travelers (2,835-782 = 1,053)

During the Christmas holidays, there are 1,053 extra passengers who are late for their flights.

In order to compute WADO, we multiply the total amount of each overdue invoice by the number of days past due, then divide that total by the number of days past due. You may figure out your average daily sales by dividing your total sales over a certain period of time by the number of days in that same period.

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Answer:

Los resultados están abajo.

Step-by-step explanation:

Dada la siguiente información:

Inversión inicial (VP)= $20.000

Tsa de interés (i)= 0,09/2= 0,045

Para calcular la cantidad de semestres necesarios (n) para lograr el valor requerido, debemos usar la siguiente formula:

n= ln(VF/VP) / ln(1+i)  

25.000:

n= ln(25.000/20.000) / ln(1,045)

n= 5,07 semestres

30.000:

n= ln(30000/20.000) / ln(1,045)

n= 9,21 semestres

40.000:

n= ln(40.000/20.000) / ln(1,045)

n= 15,75 semestres

Step-by-step explanation:

The dimensions of the cuboid are 5 cm, 7 cm and 9 cm.

The formula for the surface area of the cuboid is as follows :

[tex]A=2(lb+bh+hl)[/tex]

We have,

b = 9 cm, l = 7 cm and h = 5 cm

So,

[tex]A=2(9\times 7+9\times 5+7\times 5)\\\\A=2\times 143\\\\A=286\ cm^2[/tex]

Jamie forgets to multiply 143 by 2 as the formula for surface area contains 2 as well.

Answer:

The required inequality is;

0.2·X + 20 > 220

Step-by-step explanation:

The parts of the required inequality are;

The goal amount Paige set to earn for the month = At least $220

The amount she earns regardless of what she sells = $20

The percentage commission she gets for all product sales = 20%

Given that 'X' represent the amount of product sales Paige makes, we have;

The amount Paige makes in a month, A = 20% × X + 20 = 0.2·X + 20

Therefore, given that Paige's goal is to earn at least $220 from her part time sales in the current month, we get the inequality that can be used to determine the value of 'X' Paige needs to make are goal as follows;

A = 0.2·X + 20 > 220

The required inequality = 0.2·X + 20 > 220

∴ X > (220 - 20)/0.2 = 1,000

From which we get;

The amount of product sales Paige needs to make her goal, X > 1,000.

Answer:

I think the answer is 27 im not sure although i hope it is correct

Step-by-step explanation:

Good luck and have a good day

Answer:

D) 7x-10y=-50

Step-by-step explanation:

y=7/10x+5

10y=7x+50

10y-7x=50

-7x+10y=50

Answer: If you were to roll the cube 48 times, you would expect to get a 4 around 8 times.

Step-by-step explanation:

(1/6 - 48 = 8).

Answer:

yes

Step-by-step explanation:

1/6 X 48 times =8 times

Given:

[tex]\cos\theta <0[/tex] and [tex]\csc\theta >0[/tex]

To find:

The quadrant in which θ lie if the given statements are true.

Solution:

We know that,

All trigonometric ratios are positive in I quadrant.

Only sine and cosecant are positive in II quadrant and others are negative.

Only tangent and cotangent are positive in III quadrant and others are negative.

Only cosine and secant are positive in IV quadrant and others are negative.

We have,

[tex]\cos\theta <0[/tex] and [tex]\csc\theta >0[/tex]

Here, cosine is negative and cosecant is positive. It is only possible when [tex]\theta [/tex] lies in II quadrant.

Therefore, the [tex]\theta [/tex] lies in II quadrant.

Respuesta:  Racional

Explicación:

El número es racional ya que podemos representarlo como una fracción de enteros.

Más específicamente, -97.54 = -9754/100

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Translation to English:

Answer: Rational

Explanation:

The number is rational since we can represent it as a fraction of integers.

More specifically,  -97.54 = -9754/100

Answer:

2/3

Step-by-step explanation:

each point on the graph goes up 2 and over 3, and it's going in the positive direction. every 2/3 days the book sales go up 1,000 dollars

Answer:

156

Step-by-step explanation:

1 3/5 of an hour is 96 you get that by addind 60 mins with 36(3/5) then just add 60 mins

i believe this is right if you have any questions let me know

Answer: 3x + 6 = 3x + 6

3x - 3x = 6 - 6

0 = 0

infinitely many solutions.

Step-by-step explanation: Little tip....if ur equation ends up like this : 0 = 0, or 2 = 2...or anything equal, it will have infinite solutions. If ur equation ends up like this : 2 = 4, or 5 = 7...or anything unequal, then it will have no solutions. If ur equation ends up like this : y = 2, or x = 10....then there will be one solution.

Answer:

Some key features quadratic functions have are:

Step-by-step explanation:

Answer: You could say something like this ''I think the opposite function of a quadratic function would have an inverted parabolic curve that always opens upwards, since a quadratic function can open upwards or downwards. It would also have a single maximum or minimum point, depending on the coefficient of the quadratic term, since a quadratic function has a single vertex. Finally, the opposite function would have either no real roots or two real roots with opposite signs, depending on the discriminant, since a quadratic function can have either two distinct real roots or two complex roots.''

Answer:

C, 8 hours

Why?

Because adding the given areas are 2 + 3 + 1 = 6 hours

Now we know that a given fact is that there are 60 minutes in 1 hour.

Let's add the minutes first, 45 + 45 + 30 = 120

120 divided by 60 = 2 hours

Now let's add ALL the areas:

6 hours + 2 hour = 8 hours.

Answer:

10

Step-by-step explanation:

You can replace t in the equation with 1 like so 4(1)+6 using pemdas first you'd   multiply 4 by 1 which is 4 and then add 6 which is 10.

Answer:

El tercer ángulo en un triángulo será 16 ° si los otros dos ángulos son 112º y 52º.

El cuarto ángulo en un cuadrilátero será 213 ° si los otros tres ángulos son 105º, 32º y 10º.

Step-by-step explanation:

Spanish

La suma de los ángulos de un triángulo siempre es igual a 180 grados. Si conocemos dos de ellos, podemos encontrar el tercero. Dejemos que el tercero se denote por x entonces

112 ° + 52 ° + x = 180 °

x = 180 ° -112 ° -52 °

x = 16 °

El tercer ángulo en un triángulo será 16 ° si los otros dos ángulos son 112º y 52º.

La suma de los ángulos de un cuadrilátero siempre es igual a 360 grados. Si conocemos tres de ellos, podemos encontrar el cuarto. Dejemos que el cuarto se denote por y luego

105º + 32º + 10º + y = 360 °

o

y = 360 ° -105º- 32º- 10º

y = 213 °

El cuarto ángulo en un cuadrilátero será 213 ° si los otros tres ángulos son 105º, 32º y 10º.

English

The sum of angles in a triangle is always equal to 180 degrees. If we know any two of them we can find the third one. Let the third one be denoted by x then

112°+52°+x= 180°

x=  180°-112°-52°

x= 16°

The third angle in a triangle will be 16° if the other two angles are 112º and 52º.

The sum of angles in a quadrilateral is always equal to 360 degrees. If we know any three of them we can find the fourth one. Let the fourth one be denoted by y then

105º+ 32º+  10º+y= 360°

or

y = 360°-105º- 32º- 10º

y= 213°

The fourth angle in a quadrilateral  will be 213° if the other three angles are 105º, 32º and 10º.

Answer:

Part A:

1120 inches cubed

Part B:

Base X Height

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

360÷4=90°

Each is 90°

Using Pythagoras theorem to solve the right angle triangle, the height of the building is 14.87 feet

Pythagoras Theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed as an equation:

x² = y² + z²

where x is the hypothenuse and y, z are the legs of the right angle triangle.

To determine the height of the building in which the ladder will reach, we have to use Pythagoras theorem for that.

x² = y² + z²

15² = 2² + z²

z² = 15² - 2²

z² = 221

z = √221

z = 14.87 feet

The height is 14.87 feet

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