Simplify one or both sides by combing like terms X=8-3

Answer:

g(x)=x-2/x^2-9

If there is more than one value, separate them with commas.

Step-by-step explanation:

The total cost of painting his basement floor is $51.70.

To find the total cost of the paint including HST, we first need to calculate the total area of the basement floor that needs to be painted. We can do this by multiplying the length by the width:

Area of basement floor = length x width

Area of basement floor = 2.5 m x 2.3 m + 1.8 m x 2.3 m

Area of basement floor = 5.75 m² + 4.14 m²

Area of basement floor = 9.89 m²

Now, we can calculate the number of cans of paint needed:

Number of cans = Area of basement floor / Area covered by each can

Number of cans = 9.89 m² / 3.5 m²

Number of cans = 2.8257

Number of cans = 3

The total cost of the paint without HST would be:

Total cost = Number of cans x Cost per can

Total cost = 3 x $15.25

Total cost = $45.75

To calculate the HST, we need to multiply the total cost by the HST rate (13% or 0.13):

HST = Total cost x HST rate

HST = $45.75 x 0.13

HST = $5.95 (rounded to two decimal places)

Finally, we can find the total cost including HST by adding the total cost and the HST:

Total cost including HST = Total cost + HST

Total cost including HST = $45.75 + $5.95

Total cost including HST = $51.70

Therefore, the total cost of the paint including 13% HST is $51.70.

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The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

The correct answer is

\( \frac{8}{51} \)

The given system of equations has one solution. Therefore, option C is the correct answer.

The given system of equations is 5x-3y=34 and x-2y=4.

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

Here, by comparing the given equations with the standard form of the system of equations a1x+b1y+c1=0 and a2x+b2y+c2=0.

We get, a1=5, b1=-5, c1=-34, a2=1, b2=-2 and c2=-4

Now, the unique solution condition a1/a2 ≠ b1/b2

⇒5/1 ≠ -5/-2

The given system of equations has one solution. Therefore, option C is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which statement describes the system of equations?

It has infinitely many solutions.

It has no solution.

It has one solution.

The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

The system of equations given is:

x = 4y

x = 8 + 2y

You can solve the system by setting the two expressions for x equal to each other:

4y = 8 + 2y

2y = 8

2y / 2 = 8 / 2

y = 4

Substitute y = 4 into the first equation to solve for x:

x = 4 x 4

= 16

So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.

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Answer:

Step-by-step explanation:

for number 8 we have to use the equation πr^2, so plugging 9 into the equation would give us π(9^2). squaring the 9 gives us 81, and 81 times π equals ~25.

for number 9 we need to use the same equation, πr^2 to find the area, but since we are given the diameter we do not need to use r^2. Instead, we can use π(106) which gives us 333.

Answer:

C. Elements are listed on the periodic table

Step-by-step explanation:

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

Over Estimate of the actual product.

Step-by-step explanation:

360*68= 24,480

The estimate of 28,000 is larger than the actual product 360 and 68  which is 24480, which means that the estimate is an over estimate (an over estimate means that the number you estimated is bigger than the actual number, and an under estimate is when the estimate is smaller than the actual number, Just FYI)

Answer:

y³+y²-30y=0

Step-by-step explanation:

(y-0)(y+6)(y-5)=0

y(y+6)(y-5)=0

y(y²-5y+6y-30)=0

y³+y²-30y=0

The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

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The equation that shows the point-slope form of the line passing through (3, 2) with a slope of (1/2) is:

y - 2 = (1/2)(x - 3)

In the point-slope form of a linear equation, the formula is y - y1 = m(x - x1), where (x1, y1) represents a point on the line, and m represents the slope of the line. By substituting the given values into the formula, we can determine the correct equation.

In this case, the given point is (3, 2) and the slope is (1/2). Plugging these values into the formula, we get:

y - 2 = (1/2)(x - 3)

This equation represents the line passing through the point (3, 2) with a slope of (1/2). It is in the point-slope form, which allows us to easily determine the equation of a line based on a given point and slope.

Therefore, the correct equation is y - 2 = (1/2)(x - 3).

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Answer: B

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

30 + 20 + 13 = 63, + fractions = 64. But you have to divide to get to pounds. So 64 / 16 = 4

YAY

Answer: search

Step-by-step explanation: look up the question on your browser and the answer will pop up

Answer:

Step-by-step explanation:

sum of angles in a triangle=180º

90+60x+30x=180

90+90x=180

90(1+x)=180

1+x=2

x=1

angle A=30º

Step-by-step explanation:

Notice: The literal factors are all the combinations of a and b where the sum of the exponents is 4: a4, a³b, a²b², ab³, b4 ... The solution to the problem of the binomial coefficients without actually ... The upper index n is the exponent of the expansion; the lower index k indicates which term ... 1a5 + a4b + a3b² + a²b3 + ab4 + b5.

Answer:

it's D all of the above

Step-by-step explanation:

.......

Answer:

4

Step-by-step explanation:

I'm not to sure though your answer doesn't really maker sense

ANSWER

EXPLANATION

First, let us solve the given equation:

Now, we have to find the equation whose solution is 7.

To do this, substitute the value of x into each of the equations. The equation whose left and right sides are equal is the correct equation.

For the first option:

That is not the correct answer.

For the second option:

That is not the correct answer.

For the third option:

Since both sides of the equation are equal, that is the correct equation.

The correct answer is the third option.

Answer:

The second I think I may be wrong though.

Step-by-step explanation:

It looks like the answer and it is the right one.

So, the height of the pedestal is ((h1−h2)tanβ+h2tanα)/tanα−tanβ.

To find the height of the pedestal, we can use the concept of angles of elevation. The angle of elevation is the angle between the horizontal line of sight and the line of sight to an object above the horizontal.

From the given information, we know that the angles of elevation of the top and bottom of the statue from a point h2 metres above the ground level are α and β respectively.

We can use the tangent of the angle of elevation to find the height of the object. The tangent of the angle of elevation is equal to the height of the object divided by the distance from the base of the object to the point of observation.

Let's call the height of the pedestal as "h3"

So we can write the following equations:

h1/((h3+h1)-h2)= tan(α)

h1/((h3)-h2)= tan(β)

By solving the above equations we can get the value of h3 which is the height of the pedestal.

((h1−h2)tanβ+h2tanα)/tanα−tanβ

This is the final equation which gives the height of the pedestal.

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Answer:

1(left) goes with 1

2(left)  goes with 3

3(left) goes with 2

4(left) goes with 4

Step-by-step explanation:

2(5+6) = 22


3(5+3) = 24


2(4+5) = 18


2(3+2) = 10  

10 + 12 = 22  

8+ 10 = 18


15 + 9 = 24


6 + 4 = 10

1(left) goes with 1

2(left)  goes with 3

3(left) goes with 2

4(left) goes with 4

Answer:

10 + 12 = 2(5+6) . 10+12=22, 5+6 = 11, 11×2 =22 or 2× (5+6) = 22.

8+10= 2(4+5) , 8+10=18. 2 × (4+5) = 18, 4+5=9, 9×2=18.

15+9= 3(5+3) , 15+9=24, 5+3=8, 8×3 =24 or 3× (5+3)

6+4= 2(3+2), 6+4=10, 3+2 = 5 , 5×2 =10

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

The equation M = 8 + 8 represents the given information. Maria has 16 scarves.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's let "M" represent the number of scarves that Maria has.

According to the problem, "Maria has 8 more scarves than Lucy." We know that Lucy has 8 scarves. So, Maria has 8 more than that.

We can represent this information in an equation:

M = 8 + 8

We add 8 to Lucy's 8 scarves to get the total number of scarves that Maria has, which is 16.

So, Maria has 16 scarves.

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The required Maria has 16 scarves, and the expression models the situation is given as M = 8 + L.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's use the variable "M" to represent the number of scarves that Maria has. Since Maria has 8 more scarves than Lucy, and Lucy has 8 scarves, we can write an equation as,

M = 8 + L

where L is the number of scarves that Lucy has. Substituting L = 8 into this equation, we get:

M = 8 + 8

M = 16

Therefore, Maria has 16 scarves.

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Answer:

the slope equation is y2 - y1 divided by x2 - x1

Step-by-step explanation:

so the answer would be 3 over 2 because of this method

Answer:

3/2

Step-by-step explanation:

Use the easy rise over run method.

start at the point (50,20) then go up 3 units and 2 units to the right to get the next point.

3/2 should be the slope.

Hope I helped you!

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

---------------------------------

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Answer:

x+y=120

y=4x

x+4x=120

5x/5=120/5

x=24

y=4(24)

y=96

The numbers are 24, and 96.

Step-by-step explanation:

hope this helps<3