A line is parallel to y = 3x - 12 and
intersects the point (1, -2). What is the
equation of this parallel line?
y = [?]x + [ ]

Answer: Yes those are correct good job

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

1 5/6

Step-by-step explanation:

Answer:

Option 3.)    f(-3) = g(-3), since that x-value of the point of intersection

Hope this helps!

Answer:

189

Step-by-step explanation:

To find his average, we will find the mean. This means we will add 220+166+181 to get 567. When finding the mean we divide the answer but the total amount of addends. In our case we have 3 so we divide 567 by 3.

567 divided by 3 = 189

I hope this helps :DDDDDDDDDDD

Answer:

2.34

Normally it would be 1.95*6 however since everything is 20% off you need to find 20% of 1.95. You find that by:

Step-by-Solution for What is 20 percent of 1.95: 20 percent *1.95 = (20:100)*1.95 = (20*1.95):100 = 39:100 = 0.39. Now we have 20 percent of 1.95 = 0.39. explanation:

After you find that you multiply it by 6 so it would be 0.39*6 which equals 2.34. I hope this helped! :)

Answer:

Should be B

Step-by-step explanation:

Answer:

b. 1.6n less-than-or-equal-to 56

Step-by-step explanation:

Answer:

\(*+24x+9 = 16x^2 + 24x + 9\)

Step-by-step explanation:

Given

\(* + 24x + 9\)

Required

Fill in the gap

\(* + 24x + 9\)

Express 24x as a sum of equal halves

\(* + 12x + 12x + 9\)

Group into two

\((* + 12x) + (12x + 9)\)

Factorize 12x + 9

\((* + 12x) + 3(4x + 3)\)

Ignore the incomplete part and focus on (4x + 3)

Since the binomial is a square, then the factors of the binomial are :

(4x + 3) and (4x + 3)

So, we have:

\((* + 12x) + 3(4x + 3) = (4x + 3)(4x + 3)\)

Expand

\((* + 12x) + 3(4x + 3) = 16x^2 + 12x + 12x + 9\)

\((* + 12x) + 3(4x + 3) = 16x^2 + 24x + 9\)

Hence:

\(*+24x+9 = 16x^2 + 24x + 9\)

Answer:

\(x=\dfrac{1}{8}, \quad x=-2\)

Step-by-step explanation:

Given equation:

\((8x+7)(x+1)=9\)

Expand the brackets:

\(\implies 8x^2+15x+7=9\)

Subtract 9 from both sides:

\(\implies 8x^2+15x+7-9=9-9\)

Simplify:

\(\implies 8x^2+15x-2=0\)

To factor a quadratic equation in the form \(ax^2+bx+c\), find two numbers that multiply to \(ac\) and sum to \(b\):

\(\implies ac=8 \cdot -2=-16\)

\(\implies b=15\)

Therefore, the two numbers are:  16 and -1.

Rewrite \(b\) as the sum of these two numbers:

\(\implies 8x^2+16x-x-2=0\)

Factor the first two terms and the last two terms separately:

\(\implies 8x(x+2)-1(x+2)=0\)

Factor out the common term (x + 2):

\(\implies (8x-1)(x+2)=0\)

Apply the zero-product property:

\(\implies 8x-1=0 \implies x=\dfrac{1}{8}\)

\(\implies x+2=0 \implies x=-2\)

Therefore, the solutions to the given quadratic equation are:

\(x=\dfrac{1}{8}, \quad x=-2\)

Learn more about factoring quadratic equations here:

https://brainly.com/question/27956741

https://brainly.com/question/27947331

Answer:

x = 1/8 (or) x = -2

Step-by-step explanation:

Now we have to,

→ solve the following quadratic equation.

Let's solve for quadratic equation,

→ (8x+7)(x+1) = 9

→ 8x² + 7x + 8x + 7 - 9

→ 8x² + 15x - 2

→ 8x² + 16x - x - 2

→ 8x(x + 2) - 1(x + 2)

→ (8x - 1)(x + 2)

→ x = 1/8 (or) x = -2

Hence, the solution is x = 1/8, -2.

The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Answer:

The answer is Multiplication.

Step-by-step explanation:

The coefficient of the x term in f(x) is 2, and the coefficient of the x term in g(x) is 2. When we add or subtract the two functions, the coefficient of the x term remains 2. However, when we multiply the two functions, the coefficient of the x term becomes 4. Therefore, multiplication results in the largest coefficient on the x term.

Here is the solution for each of the operations:

Addition: f(x) + g(x) = (2x −1) + (2x + 4) = 4x + 3

Subtraction: f(x) - g(x) = (2x −1) - (2x + 4) = -5

Multiplication: f(x) * g(x) = (2x −1) * (2x + 4) = 4x^2 + 6x - 4

As you can see, the coefficient of the x term in f(x) * g(x) is 4, which is larger than the coefficients of the x terms in f(x) + g(x) and f(x) - g(x). Therefore, multiplication results in the largest coefficient on the x term.

Answer:

79.737≈79.7

Step-by-step explanation:

Answer:

a. 90

b. 40

c. 55

d. 6

e. 72

Step-by-step explanation:

a: This is a rectangle so all the full corners are 90 degrees. ABC is a corner angle.

b: 1 and 3 are the congruent angles so 3 has the same measure as 1.

C: 1 is a part of the corner, which adds up to 90 degrees. That means angle 2 and angle 1 should add up to 90. They say m<1= 35, so 90-35=55.

d. In a rectangle, the interesecting lines have the same length. AC is 12, so then DB is 12. However, DE is halfway. Half of 12=6.

e. This one has a few steps. Angle 1 is 36, and angle 2 is the other part to the 90 degree corner. 90-36= 54. That gives us angle 2. We know all angles in a triangle add up to 180 degrees. The angle across from angle 2 in the same triangle is the same value, so that is also 54. To find angle 5, it must add up to 180 degrees. 54+54+x=180, in other words. 54+54=108. 180-108=72.

The first-order necessary conditions for the given NLP problem involve the KKT conditions, and a specific solution satisfying these conditions needs further analysis.

(a) The first-order necessary conditions for constrained optimization problems are defined by the KKT conditions. These conditions require that the gradient of the objective function be orthogonal to the feasible region, the constraints be satisfied, and the Lagrange multipliers be non-negative.

(b) Assuming the first Lagrangian multiplier constraint is active means that it holds with equality, while the second one is inactive implies that it does not affect the solution. By incorporating these assumptions into the KKT conditions and solving the resulting equations along with the given constraints, a solution can be obtained.

(c) To determine if the solution satisfies the first-order necessary conditions, one needs to verify if the obtained values satisfy the KKT conditions. This involves checking if the gradient of the objective function is orthogonal to the feasible region, if the constraints are satisfied, and if the Lagrange multipliers are non-negative. Only by performing this analysis can it be determined if the solution satisfies the first-order necessary conditions.

Learn more about  solution here:

https://brainly.com/question/28221626

#SPJ11

The airplane consumes approximately 50 gallons of fuel to travel 560 nm.

To find the fuel required to travel 560 nm, we need to first calculate the total time it takes to travel that distance at the given ground speed. To do this, we can use the formula d = rt, where 'd' is the distance, 'r' is the rate, and 't' is the time.

In this case, the distance is 560 nm, the rate is 167 knots, and the time is t. Substituting these values into the formula, we get:

560 nm = 167 knots * t

Solving this equation for t, we get:

t = 560 nm / 167 knots

= 3.36 hours

Next, we need to calculate the total amount of fuel consumed during this time by multiplying the fuel consumption rate by the time. The fuel consumption rate is 14.8 gallons per hour, and the time is 3.36 hours.

So the total fuel consumption = 14.8 gallons/hour * 3.36 hours

                                                  = 49.728 gallons

Hence, the airplane consumes approximately 50 gallons of fuel to travel 560 nm.

Read more about speed:

brainly.com/question/26046491

#SPJ4

A system of two linear equations in two variables that has infinite solutions will produce one line superimposed on the other line. This implies that both lines coincide. The correct option is d.

Linear equations are algebraic equations that can be used to represent straight lines on a graph. Linear equations are equations with two variables that can be represented on a graph as a straight line.

The general form of the linear equation is y = mx + b.

This form of the equation is used to represent the line on the graph.

A system of two linear equations in two variables represents two lines on the same graph. These lines are created by using two linear equations that are plotted on the same graph. Each line on the graph represents an equation in the system. The point where the two lines intersect represents the solution to the system of linear equations.

If the two equations in a system of linear equations in two variables represent the same line, then the system of equations will have infinite solutions. This is because both equations represent the same line, and there are an infinite number of points on that line that can be considered as solutions. This is the only case where a system of linear equations in two variables will have infinite solutions.

If we have a system of two linear equations in two variables that has infinite solutions, we would see one line superimposed on the other line. This implies that both lines coincide.  The correct option is d.

Know more about the linear equations

https://brainly.com/question/2030026

#SPJ11

Answer:

2/3

Step-by-step explanation:

rise over run so you go done then over

Answer:

2/3

Step-by-step explanation:

When counting the slope from points, I like to use this method. Pick 2 points you see the line crosses through and then count the steps up/down and to the side one is from the other. In this case, you can count like this:

"Up 2, over 3"

Now we know the slope is 2/3.

HTH :)

Answer:

1.25 without the sales tax and tip

Step-by-step explanation:

Step-by-step explanation:

espero que te ayude amigo

There are 3,003 ways to select a committee of five from the 15 students in the student council.

To calculate the number of ways to select a committee of five from a group of 15 students, we can use the combination formula. The formula for combination, denoted as "n choose r," calculates the number of ways to choose r items from a set of n items without considering the order.

In this case, we want to choose a committee of five from a group of 15 students. Using the combination formula, we can calculate it as:

C(15, 5) = 15! / (5! * (15-5)!)

where "!" denotes factorial. Simplifying the expression:

C(15, 5) = 15! / (5! * 10!)

The factorial of a number is the product of all positive integers less than or equal to that number. In this case:

15! = 15 * 14 * 13 * 12 * 11 * 10!

Cancelling out the common terms:

C(15, 5) = (15 * 14 * 13 * 12 * 11) / (5 * 4 * 3 * 2 * 1)

Simplifying the expression further:

C(15, 5) = 3,003

Therefore, there are 3,003 ways to select a committee of five from the 15 students in the student council.

Learn more about committee:

brainly.com/question/31624606

#SPJ11

Answer:

Step-by-step explanation:

(a²-2ab+b²)=(a-b)²

a²+2ab+b²=(a+b)²

i solve b and d

(b)

9x²-36x+36=0

(3x)²+2×3x×-6+(-6)²=(3x-6)²

(d)

a²-b²=(a+b)(a-b)

4x²-81=0

4x²-81=(2x)²-9²=(2x+9)(2x-9)

Answer:

285.2

Step-by-step explanation:

2852.1/10 = 285.21

but rounded to the nearest tenth is 285.2

Answer:

285.2

Step-by-step explanation:

After we divide 2852.1 by 10 we get 285.21. Rounding it to the nearest tenth it would be 285.2.

Answer:

the answer is c y=1/2×+2

Answer:

I think it might be C

Step-by-step explanation:

its a plus 2 since your line starts of higher

Answer:

c=10mm

Step-by-step explanation:

Using pythagoras theorem,

hypotenuse²=base²+altitude²

=√19²+9²

=19+81

=100

Hypotenuse²=100

Hypotenuse=√100

=10

Answer: 108 liters of gasoline is needed.

Hope this helps! :)

Given parameters:

Distance  = 140km

 Volume of gasoline  = 35liters

Unknown:

Volume of gasoline needed for 432km  = ?

Solution:

Let us first find the rate of gasoline consumption per mile. Using this value, we can then determine the volume of gasoline used for the distance given.

  Rate of gasoline consumption by the boat = \(\frac{volume of gasoline}{distance}\)

                                                    = \(\frac{35}{140}\)  

                                                    = 0.25liters/km

Now, the volume of gasoline needed for 432km;

   Volume of gasoline needed  = rate of gasoline consumption x distance

                                                    = 0.25 x 432

                                                    = 108liters of gasoline            

Answer: 33.6% of X = 26800

X = 26800 / 33.6%

   = 26800 / 0.336

  = 33.6%

HOPE THIS HELPS HAVE A AWESOME NIGHT/DAY✨

Step-by-step explanation:

Answer:

2997.2

Step-by-step explanation:

Answer:

Hey jude i am sorry but Shawn and i need to go get ready because he is about to release another song from his new album.!!!!!

Step-by-step explanation:

Answer:

One mile per hour.

Step-by-step explanation:

If Shawn can jog 5 miles in 5 hours, to find his average speed (in miles) per hour, we can divide 5 miles into 5 hours:

\(\frac{5}{5}\)

\(=\frac{1}{1}\)

Therefore, Shawn's average speed per hour is one mile per hour.

The idea of the Laffer Curve, as it is expressed mathematically, is that there is an optimal tax rate at which the government can maximize revenue. This concept is based on the idea that as tax rates increase, revenue collected by the government initially increases but eventually reaches a point at which further increases in tax rates lead to a decrease in revenue.

The Laffer Curve is used to analyze how economic policies may affect growth and stability by illustrating the trade-off between higher tax rates and revenue generation. It is often used as an argument to reduce the government's role in the economy, as increasing taxes beyond a certain point can be counterproductive.

Additionally, the Laffer Curve is related to the idea that aggregate supply increases when production costs decrease, as lower taxes can lead to lower production costs and, therefore, an increase in supply. This is a long answer that describes the various aspects of the Laffer Curve.

To know more about mathematically visit:-

https://brainly.com/question/27235369

#SPJ11

Answer:

4x-7

Step-by-step explanation: