Solve the following system of equations by graphing. Graph the system below and enter the solution set as an ordered pair in the form (x,y).if there are no solutions enter none and inter all if there are infinite solutions X + 2y = 3 2x + 4y =12

slope of line is -3 for points (1,0) and (0,3)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

From graph let us take two points (1, 0) and (0, 3)

x₁=1, x₂=0, y₁=0,y₂=3

Substitute these values in slope formula

m=3-0/0-1

m=3/-1

m=-3

Hence slope of line is -3.

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Answer: We have to sketch the angle and find the reference angle for the 20:

The reference angle is an angle between the terminal side of the angle and the x-axis.

The provided angle is:

Sketch of the angle:

Therefore the reference angle is:

The rate of yen per Indian rupee is 1.6

How do you convert currency to another currency?

Divide your current currency by the exchange rate if you are aware of it.

Assume, for instance, that you want to change 100 USD into EUR and the USD/EUR exchange rate is 0.631. Simply multiply 100 by 0.631 to do this, and the result is 63.10 EUR, which is the amount you will receive.

Given, 2000 Yen = 16 Euros

and, 40 Euros = 3,125 Indian Rupees

Find rate of yen per India rupee

1 Euro = 2000/16

1 Euro = 125 yen

And, 1 Euro = 3125/40

1 Euro =  78.125 India rupee

Now, find 1 yen = ? Indian rupee

we know,  1 Euro = 125 yen and 1 Euro =  78.125 India rupee

put the values of euro in India rupee in 1 Euro = 125 yen, we get

78.125 India rupee  = 125 yen

1 India rupee = 125 / 78.125

1 Indian rupee = 1.6 Yen

Therefore, the rate of yen per Indian rupee is 1.6

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Problem

Solution

Let x = age, W= weight the two variables of interest

We have the following probabilities given:

P(x<37) =0.142

P(W< 2500) = 0.051

P(x <37 AND W<2500)= 0.031

And we want the following probability and we can use the total probability rule:

P(x < 37 OR W< 2500) = P(x<37) +P(W< 2500) -P(x<37 AND W<2500)

If we replace we got:

P(x < 37 OR W< 2500)= 0.142+ 0.051- 0.031= 0.162

The largest proper fraction that can be formed is 16/17

What is a fraction?

A fraction (from the Latin fractus, "broken") is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A common, vulgar, or simple fraction has a numerator above a line (or before a slash like 12) and a non-zero denominator below (or after) that line. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.

The largest proper fraction that can be formed is

= 1+3+12/11+6 = 16/17

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We know that

• There are needed 2/3 cups of lemon soda for every 2 cups of punch.

To find the answer, we have to divide.

Yes, the given figure has the horizontal symmetry.

Line symmetry is a type of symmetry about reflections. When there is at least one line in an object that divides a figure into two halves such that one-half is the mirror image of the other half, it is known as line symmetry or reflection symmetry. The line of symmetry can be in any direction - horizontal, vertical, slanting, diagonal, etc.

The horizontal line of symmetry divides a shape into identical halves, when split horizontally, i.e., cut from right to left or vice-versa.

The given figure has horizontal symmetry.

Yes, the given figure has the horizontal symmetry.

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What we have is a fractional division, this is following expression

For this procedure, it says to multiply the top and bottom ends to get the numerator, and the middle numbers to get the denominator

In conclusion after splitting and simplifying this, the answer is 9/5

First find diagonal of base D =√( 10^2 + 10^2)= √200

Then find diagonal lenght L = √ (D^2 + 10^2) = √ (200 + 100) =√300

L= √300 = √3•√100 = √3• 10

L= √3•10 = 10•√3 (by conmutative property)

We have to identify the intervals where the function is concave upwards and where is concave downward.

We can differentiate them in a graph as:

We then have only one interval where the function is concave upwards: between x = -1 and x = 4. We can identify other intervals where the function is concave downwards and interrupted by discontinuities.

Then, we can write all the intervals as:

The Solution:

Given:

We are required to find t when h = 0.

Divide both sides by -16.

Thus, the correct answer is 9.5 seconds.

Answer:

12-3X=X-3=5

Step-by-step explanation:

Mathematically speaking, the linear pair postulate and linear pair theorem both express the same thing.

Therefore, mathematically speaking, the linear pair postulate and linear pair theorem both express the same thing.

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The quadrants on the coordinate plane are the following:

then, we have that the upper left quadrant is quadrant II

solution

For this case we have the following equation:

Then we can add 5 in both sides and we got:

Then we can multiply both sides by 4/3 and we got:

And the final solution for this case is x= 12

The x intercept is the value of x at the point where the curve touches the x axis of the graph. Looking at the graph,

x intercept = - 1

It is written as (- 1, 0)

The zeros of the quadratic function is the same as the x intercept. Since the curve touches the x axis at only x = - 1, the zeros would be

x = - 1 twice

The equation of the line in slope-intercept form is: C. y = -3/2x - 9/2

If we determine the slope value, m, and the y-intercept value of the line, b, we can write the equation of a line in slope-intercept form as y = mx + b by substituting the values.

Slope of a line (m) = change in y / change in x.

y-intercept of a line is the point on the y-axis where the value of x = 0, and the line cuts the y-axis.

Slope of the line in the diagram, m = -3/2

y-intercept of the line, b = -9/2.

Substitute m = -3/2 and b = -9/2 into y = mx + b:

y = -3/2x - 9/2 [equation in slope-intercept form]

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Since they will collide the time taken for both to reach the intersection is the same.

Let the time taken by t.

Recall that for steady motion,

Substitute d = 4 and s = 442 into the equation:

Therefore, the distance covered by the Coyote in this time is given by:

Using the Pythagorean Rule, it follows that the distance between Road Runner and the Coyote along the diagonal is given by:

Since speed s for a body that travelled distance d in time t is given by:

it follows that the required speed is given by:

Therefore, the required rate is -65√101 kph.

The graph of the given function is attached below.

x intercept means if there will be no khakis shipped, then there will be 120 jeans shipped.

Also, y -intercept means if there will be no jeans shipped, then there will be 90 khakis shipped.

Given equation:-

15x + 20y = 1800

Where,

x represents the number of jeans shipped and,

y represents the number of khakis shipped

We have to use the x and y-intercepts to graph the equation.

Putting x = 0 to find the y -intercept, we get,

15(0) + 20y =1800

0 + 20y = 1800

y = 1800/20

y = 90

The coordinates of the point will be (0,90).

Putting y = 0 to find the x -intercept, we get,

15x + 20(0) =1800

15x + 0 = 1800

x = 1800/15

x = 120

The coordinates of the point will be (120,0).

Using the coordinates, we have graphed the graph attached.

Here, x intercept means if there will be no khakis shipped, then there will be 120 jeans shipped.

Also, y -intercept means if there will be no jeans shipped, then there will be 90 khakis shipped.

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Given:

The length of the sides is a=18.3 cm,

The base of the triangle is b =3 cm.

Required:

We need to find the hypotenuse.

Explanation:

Use the Pythagorean theorem.

Substitute a =18.3 and b=3 in the equation.

Take square root on both sides.

Length is always positive.

Final answer:

The hypotenuse is 18.54cm.

Answer:

100 times

Step-by-step explanation:

[tex]\frac{10^{9} }{10^{7} }[/tex]  = [tex]10^{2}[/tex] = 100

When you are dividing exponents with the same bases, you subtract the exponents.

Answer:

3 x 10^9 is larger than 3 x 10^7 by 2,970,000,000

Step-by-step explanation:

Debit for unearned rent revenue of $6,000.

Rent Revenue                   Credit            $6,000

For the given question,

Now, on December 31, we must prepare this same adjusting entry to record this same Rent Revenue for the two-month period (Nov. 1 to Dec. 31).

For two months, the rent revenue will be 9000×2/3 = $6,000

As a result, the journal entry to track the Rent revenue is as follows:

Debit for unearned rent revenue of $6,000.

Rent Revenue                  Credit            $6,000

(becoming the improvement made for earned Rent Revenue).

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Evaluate the product of the expression.

So answer is 9.1X10^3.

Let x = the number

So, the given situation can be expressed as:

Then, solve for x:

Answer: the number is 70/3

Given:

There are two competing companies.

Required:

We need to find the alternative hypothesis

Explanation:

If the null hypothesis assumes equal average salaries (i.e. no difference), then the alternative can take on three cases:

A)

One mean is greater than the other

B)

One mean smaller than the other

C)

The means are not equal

Now here A and B sound the same, so I shoukd be more precise,

-31p + 16

Explanation:

-8(4 p -1) - 7p+8( p+1)​

Open the bracket:

-8(4p) -8(-1) - 7p +8(p) +8(+1)

Simplify:

-32p + 8 - 7p + 8p + 8

Note: the multiplication of opposite sign gives negative number. While multiplication of same sign gives positive number

Collect like terms:

= -32p - 7p + 8p + 8 + 8

= -31p + 16

Answer:

x = 100degrees

Explanation:

Using the theorem;

The angle at the vertex is the half of the difference of its intercepted arcs

Angle at the vertex = 15 degrees

angle at the intercepted arcs = 70degrees and x degrees

According to the theorem;

15 = 1/2(x-70)

Cross multiply

15 * 2 = x - 70

30 = x - 70

Add 70 to both sides

30 + 70 = x - 70 + 70

100 = x

Swap

x = 100degrees

Hence the value of x is 100degrees

The result from using Option 2 will be significantly less than the result from using Option 1 over a period of 20 years.

Given,

Belinda wants to invest $1,000.

The Table is:
Number of years 1 2 3

Option 1 (amount in dollars) 1100 1200 1300

Option 2 (amount in dollars) 1100 1210 1331

Now, According to the question:

When the x-values are sequential (1, 2, 3, ...), the y-values will have a common difference for a linear function, and a common ratio for an exponential function.

For the two investment options, we notice Belinda earns 1300 -1000 = 300 the first year for either option. The difference is the same the next year for Option 2 (1600 -1300 = 300), but is not the same for Option 1. For that option, the ratio is the same for the second year as it was for the first year:

1690/1300 = 1.3 = 1300/1000

Part A :
(Option 1) can be represented by exponential function.

(Option 2) can be represented by a linear function.

Part B:

For Option 1:

To find the value of the investment f(n), in dollars, after n years.

The generic form of an exponential function is ...

f(n) = a·b^n

Now, Amount after 1 year = 1100

Principle (P) is = 1000

Using the formula :

A = P[tex](1+r)^n[/tex]

1100 = 1000[tex]([/tex][tex]1 + r)^1[/tex]

1.10 = 1 + r

r = 0.10

Amount after t years can be given by :

A = 1000(1.10)^t

For Option 2,

The generic form of an exponential function is ...

f(n) = a·n + b

Rate of change (m) = (1100 - 1000) / 1 = 100

Amount after t years can be given by

A = 1000 + 100 x t .

Part C:

Investment in (1) : 1000 [tex](1.10)^2^0[/tex]= $6727

Investment in (2): $3000

Hence, The result from using Option 2 will be significantly less than the result from using Option 1 over a period of 20 years.

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Answer :- A) Last two digits divisible by 4.

The formula for the area of a sector of a circle is:

Where

θ is the angle

r is the radius

Given,

θ = 100

r = 7

We substitute into the formula and figure the answer out [remembering to use 3.14159 as π]:

Rounding to the nearest thousandth [3 decimal places], we have: