How do I graph y=x-3 and y=-2x+6

Answer:

The number line that represents the inequality 6x - 12 > -6 is (D)

How to determine the number line?

The inequality is given as:

6x - 12 > -6

Add 12 to both sides

6x > 12 - 6

Evaluate the difference

6x > 6

Divide both sides by 6

x > 1

The number line that represents the above inequality is (D)

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The correct statements are,

The area of the base, B, is 8 feet squared.

The expression one-third (8) (2) (6) can be used to find the volume of the pyramid.

A tetrahedron is a polyhedron in geometry that has four triangular faces, six straight edges, and four vertex corners. It is often referred to as a triangle pyramid. The tetrahedron is the simplest and only regular convex polyhedron with less than five faces.

Given that a triangular pyramid. The base has a base of 8 feet and a height of 2 feet. The pyramid has a height of 6 feet. The volume of the triangle is calculated as,

The area of the base,

A = 1/2 x b x h

A = 1/2 x 8 x 2

A = 8 feet

The volume will be calculated by the formula,

Volume = 1 / 3 x Base are x h

Volume = 1 / 3 x 8 x 2 x 6

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The number of bracelets made is 4 and number of necklaces made is 3.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Let x be the number of bracelets made and y be the number of bracelets made.

There are total of 7 bracelets and necklaces.

x + y = 7

Amount of gold in each bracelet = 7 grams

Amount of gold in x bracelets = 7x grams

Amount of gold in each necklace = 18 grams

Amount of gold in y necklaces = 18y grams

Total gold used is 82 grams.

7x + 18y = 82

We have two linear equations :

x + y = 7 ⇒ x = 7 - y

7x + 18y = 82

Substituting x = 7 - y in second equation,

7 (7 - y) + 18y = 82

49 - 7y + 18y = 82

11y = 82 - 49

11y = 33

y = 33/11

y = 3

x = 7 - y = 7 - 3 = 4

Hence the number of bracelets and necklaces are 4 and 3 respectively.

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Answer:

10^4

Step-by-step explanation:

10= 10^1
10x10 = 10^2 (2 10s)
10x10x10=10^3 (3 10s)
10x10x10x10=10^4 (4 10s)
basically the number of 10s you are multiplying will be the number of exponents you will use in this case.

Using the concept of ratios, the constant of proportion between middle school and high school is 3/4

Proportionality is a fundamental concept in mathematics and physics. It is a relationship between two or more variables where a change in one causes a proportional change in the other. In other words, the ratio between the two remains constant. Proportionality is an important concept in mathematics because it is used to make predictions and solve problems. The constant of proportionality is the ratio between the two variables that remain constant in a proportional relationship.

To determine the constant of proportionality in this relationship, we can write an equation in the form

y = kx

Or we can easily use ratio to find the constant of proportion

Number of girls in middle school = 6

Number of girls in high school = 8

The ratio = 6/8 = 3 / 4 = Option B

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Answer:

i tink im doing this complete wrong but 1.380649×10−23 J

Step-by-step explanation:

Answer:

a)   Length of the parking lot: 98 m

b)   Width of the pool: 89 m

Step-by-step explanation:

a)   The formula for the area of a rectangle is [tex]A=lw[/tex].

We need to evaluate the length. Lets solve for [tex]l.[/tex]

[tex]A=lw[/tex]

Divide both sides of the equation by [tex]w[/tex].

[tex]\frac{A}{w} =l[/tex]

We are given

[tex]A=8428\\w=86[/tex]

Lets evaluate [tex]l[/tex].

[tex]\frac{8428}{86}=l[/tex]

[tex]l=98[/tex]

b)   The formula for the perimeter of a rectangle is [tex]P=2l+2w[/tex].

We need to evaluate the width. Lets solve for [tex]w[/tex].

[tex]P=2l+2w[/tex]

Subtract [tex]2l[/tex] from both sides of the equation.

[tex]P-2l=2w[/tex]

Divide each term by 2.

[tex]\frac{P}{2} -\frac{2l}{2} =\frac{2w}{2}[/tex]

Simplify.

[tex]w=\frac{P}{2}-l[/tex]

We are given

[tex]P=376\\l=99[/tex]

Lets evaluate [tex]w[/tex].

[tex]w=\frac{376}{2}-99[/tex]

[tex]w=188-99[/tex]

[tex]w=89[/tex]

Answer:

a) 98m , b) 89m

Step-by-step explanation:

(a) Given,

To Find : Length of the Parking lot

Length of a rectangle shape can be derived by the formula,

[tex]l = \frac{A}{w}[/tex]

[tex]l = \frac{8428}{86}[/tex]

[tex]l = 98m[/tex]

Hence , the length of a rectangular parking lot is 98m

(b) Given ,

To Find : The width of the rectangular pool

We take the width as variable 'x'

Now we plug it into the perimeter of a rectangle equation

[tex]376 = 2(99 + x)[/tex]

Using distributive property we,

[tex]376 = 198 + 2x[/tex]

We now flip the equation

[tex]2x + 198 = 376[/tex]

[tex]2x = 376 - 198[/tex] ( Transposing into the right hand side)

[tex]2x = 178[/tex]

[tex]x = \frac{178}{2}[/tex]

[tex]x = 89[/tex][tex]m[/tex]

Hence , the width of the rectangular swimming pool is 89m

We can perform a change of units to see that 280 square centimeters is equivalent to 0.028 square meters.

We want to perform a change of units between square centimeters and meters.

Remember the relation:

100cm = 1m

Now we can square both sides of that equation, then we will get:

(100 cm)^2  = (1m)^2

10,000 cm^2 = 1m^2

Then if we have a measure in square centimeters, to transform it into square meters we need to divide that measure by 10,000.

Then:

280 cm^2 = (280/10,000) m^2 = 0.028 m^2

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Step-by-step explanation:

the nth root of something can be expressed as 1/n as exponent.

e.g. sqrt(2) = 2^(1/2).

so, the 5th root of 3⁴ = 3^(4/5)

for f(x) = 3^x

that means that x = 4/5 = 0.8.

so, I go on the x-axis to the right to 0.8, and from there straight up to the actual curve.

that is the desired point.

Answer:

Step-by-step explanation:

H=456,533/pier^2

H=456533×7/22×7×7*. Here 7 as radius

H=29.645cm

The required translation of the given statement into an equation is given as 38 = 2d.

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

Here,
38 is the product of Della's score and 2.
Let the variable d to represent Della’s score,
2 × d = 38

2d = 38

Thus, the required translation of the given statement into an equation is given as 38 = 2d.

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The fractions with the common denominators are given as follows:

The inequality relating the fractions is given as follows:

4/7 > 5/9.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

The terms are classified as follows:

The fractions for this problem are given as follows:

The denominators are given as follows:

7 and 9.

The least common multiple of 7 and 9 is given as follows:

7 x 9 = 63.

Hence the equivalent fractions are given as follows:

The equivalent fractions have the same denominator, while the equivalent fraction to 4/7 has the greater numerator, hence the inequality is given as follows:

4/7 > 5/9.

The problem is given by the image presented at the end of the answer.

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1. steps to find the value of x

The first step is to equalize the form of the equation.

y = 6x-11 = -6x+y= -11

-2x-3y = -7

thus becoming:

-6x+y= -11

-2x-3y = -7

Then eliminate y:

-6x+y= -11 | times -3| becomes 18x-3y=33

18x-3y=33

-2x-3y = -7

y in the equation can be eliminated to become:

20x=40

x=40/20

x=2

steps to find the value of y:

The first step is to equalize the form of the equation.

y = 6x-11 = -6x+y= -11

-2x-3y = -7

thus becoming:

-6x+y= -11

-2x-3y = -7

Then eliminate x:

-2x-3y = -7 | multiplied by 3| becomes -6x-9y=-21

-6x+y= -11

-6x-9y=-21

x in the equation can be eliminated to become:

10y=10

y=-10/10

y=1

2.

1. steps to find the value of x

The first step is to equalize the form of the equation.

2x-3y = -1

y = x-1 becomes -x+y=-1

thus becoming:

-2x-3y = -1

-x+y=-1

Then eliminate y:

-x+y=-1| times -3| to 3x-3y=3

-2x-3y = -1

3x-3y=3

y in the equation can be eliminated to become:

-5x=-4

x=4/5

Steps to find the value of y:

The first step is to equalize the form of the equation.

2x-3y = -1

y = x-1 becomes -x+y=-1

thus becoming:

-2x-3y = -1

-x+y=-1

Then eliminate x:

-x+y=-1| multiplied by 2| becomes -2x+2y=-2

-2x-3y = -1

-2x+2y=-2

x in the equation can be eliminated to become:

-5y=1

y=-1/5

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The equation of the line perpendicular to 2x + 3y = 12 will be y = 3x/2 + c where c ∈ R.

The equation of the line given here is 2x + 3y = 12

Now rearranging it to the slope-intercept form we get

3y = -2x + 12

or, y = -2x/3 + 4

Now any 2 lines are perpendicular when the product of their slopes results in -1.

Hence, let the equation of the line perpendicular to the given line be

y = mx + c, where m is the slope of the line and c is the intercept.

Hence,

-2m/3 = -1

or, m = 3/2

Hence the equation of the line will be

y = 3x/2 + c where c ∈ R

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Answer:

TRUE

Step-by-step explanation:

(2x^2-5x-3)/(x-3) = (2x+1)

(2x^2)/(x-3) - (5x)/(x-3) - 3/(x-3) = (2x+1)

 [separated each term on the left side]

(2x^2)- (5x) - 3 = (2x+1)(x-3)

2x^2- 5x - 3 = (2x+1)(x-3)

(2x+1)*(x-3) = (2x+1)(x-3)

Both sides are the same.  The equation is TRUE.

Answer:

-4

Step-by-step explanation:

y=3x13

2x=y-9

2x=3x+13-9

2x=3x+13-9

2x=3x+4

-3  -3

-x=4

-x/ -x/

x=-4

(You said "3x13" so i'm going to guess you meant to say "3x+13").

(If you meant "3x-13" I can also help you with that too)!

The linear regression equation is y = 22.086x + 898.620 and the year for 1171 cases is 2024

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

The table of values

Using a graphing calculator, we have the following summary

The regression equation is represented as

Regression Equation = ŷ = bX + a

Where

b = SP/SSX = 386.5/17.5 = 22.08571

a = MY - bMX = 953.83 - (22.09*2.5) = 898.61905

So, we have

ŷ = 22.08571X + 898.61905

Approximate

y = 22.086x + 898.620

When the new cases is 1171, we have

22.086x + 898.620 = 1171

This gives

x = 12

i.e. year = 2012 + 12 = 2024

Hence, the year is 2024

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Answer:

The solutions are:

(1,-4), and (-11,56)

Step-by-step explanation:

10 + y = 5x + x^2

5x + y = 1

Rearrange both equations to isolate y:

y = x^2 + 5x - 10

y = -5x+1

Since y=y, we set set the right sides of both equations equal to each other:

-5x+1 = x^2 + 5x - 10

Rearrange

-x^2 - 10x + 11 = 0

x^2 +10x - 11 = 0

Factor

(x+11)(x-1) = 0

x = -11 and 1

Use these two values of x to find y.  We'll use the simpler equation of

y = -5x+1.

 x     _y

 1      -4      (1,-4)

-11      56    (-11,56)

See the attached graph for proof.

Right-hand bottom graph shows a system of equations with the solution (5, -3).

A diagram that depicts the connection between two values, measures, or other objects as a line or curve.

According to the inquiry,

Due to the fact that the two lines meet at the position where they do, the graph on the bottom right depicts a system of equations with the answers (5, -3) (5, -3).

Therefore, the proper answers to the problem are represented by the bottom right.

Right-hand bottom graph has the proper equations and their answers (5,-3).

Right-hand bottom graph shows a system of equations with the solution (5, -3).

The complete question is

Which graph shows a system of equations with the solution (5, -3)?

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The section formula helps to find out the coordinates of points that divide the line in the m:n ratio whereas the midpoint formula helps us to find the midpoint of a line.

The section formula is used in geometry to find out centroid, incenters, etc. It is of two types: Internal division and external division. These types depend on the position of point P.For a point P(x,y) dividing line a(a,b) and B(c,d) in ratio m:n, The

The midpoint formula is used to find the center of a line or a figure. It is a mathematical equation used in geometry and economics. On a line from point (x1,y1) to (x2,y2) the midpoint P= (x1+y1)/2 , (x2+y2)/2. It divides the line in 1:1 ratio.

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Term limits have been approved almost everywhere they’ve been on the ballot.

However, the evidence suggests that at the margin, term limits are helpful to the cause of individual liberty. Elhauge’s report showed that term limits lessen the influence of seniority. His research demonstrated that long-term lawmakers from both major parties vote for more bureaucracy than do lawmakers who have been in office for shorter times.

Therefore, term limits have been approved almost everywhere they’ve been on the ballot

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So, on solving the provided question we can say that coordinates are -

(6, -4.) and T (-1,2) y-y1 = m(x - x1) => 2x - y -16 =0

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

here,

coordinates are -

(6, -4.) and T (-1,2)

y-y1 = m(x - x1)

y +4 = 2(x -6)

y+ 4 = 2x - 12

2x - y -16 =0

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The two types that the boatbill will dominate are grasses and shrubs according to the attached table.

The density of an item is defined as its mass divided by its volume. Density is commonly expressed in grams per cubic centimeter (g/cm3). Remember that grams are a unit of mass and cubic centimeters are a unit of volume (the same volume as 1 milliliter). “Density = mass divided by volume.” Density is a compound metric that tells us about an object's mass in proportion to its volume. The density of a substance is the measure of how densely it is packed together. It is expressed as mass per unit volume. Density Symbol: D or ρ Density Formula: = m/V, where is the density, m is the object's mass, and V is its volume.

Here,

According to the accompanying data, the boatbill will predominate among grasses and bushes.

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Therefore , the solution of the given problem circle comes out to be

straight line distance from Sydney to Capetown ≈11139 km

A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is axis of rotation equal about the center at every angle. Every set of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally symmetrical about the center at every angle.

Here,

The distance between Sydney and Cape Town's longitudes is 151.13° and 18.22°, respectively, for the little circle, which equals 533.669 km. Sydney to Capetown distance in a straight line is

151.13∘−18.22∘=132.91∘

Straight line distance from Sydney to Capetown

d= √53372+53372−2×5337×5337× cos132.91∘

= 9785 km

θ=cos⁻¹ (6400²+6400²−9785² / 2 x 6400×6400)=99.72∘

Great Circle route from Sydney to Cape Town

=>πR / 180∘ ×θ

=> 6400π180∘×99.72∘

=> 11138.831…≈11139 km

Therefore , the solution of the given problem circle comes out to be

straight line distance from Sydney to Capetown ≈11139 km

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Answer:

x=6/5

y=1/5

z=14/5

i think i  not 100% sure

Answer:

The following equations are equivalent:

2 + x = 5

x + (negative 4) = 7

Negative 5 + x = negative 2

All of these three equations are equivalent because they all represent the same mathematical relationship between x and other numbers. The variable x is the same in each equation. We can see this by applying the same operation on both sides of the equations, and the variable x will cancel out and the two sides will be equal.

To find the coordinates of the midpoint of two points in a plane, you can use the midpoint formula. The midpoint formula is:

(x,y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points, and (x,y) are the coordinates of the midpoint.

For example, if you have two points (3, 4) and (7, 10), you can use the midpoint formula to find the coordinates of the midpoint:

(x,y) = ((3 + 7) / 2, (4 + 10) / 2)

(x,y) = (5, 7)

The midpoint of points (3,4) and (7,10) is (5,7).

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