Is the following relation a function?xy1−21−3213−2

Answer:

see explanation

Step-by-step explanation:

Given

3x - y = 2

Substitute y = x - 1 into the equation

3x - (x - 1) = 2

3x - x + 1 = 2 ← simplify left side

2x + 1 = 2 ← required equation after substitution

Given.

3x - y = 2

Substitute x - 1 for variable y.

3x - x - 1 = 2 ← Resulting equation

Answer:

D

Step-by-step explanation:

It isn't the most efficient way to solve the problem, but the other 3 are incorrect.

expression (2 x 2 + 4 x - 7)(x) + (2 x 2 + 4 x 7)(-3)  is equivalent to (2 x 2 + 4 x - 7)(x-3).

solving this we will get the valve of Y if x is given.

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Answer:

the answer is c and e

Step-by-step explanation:

just took it

The datasets that have outliers are (c) 16, 32, 38, 39, 41, 42, 58, (d) 17, 23, 28, 31, 39, 45, 75 and (e) 18, 30, 34, 38, 43, 45, 68

Data sets are simply collections of related data elements

Outliers are data elements that are relatively far from other data elements in the dataset

If a value is too small or too high from other elements, then the dataset has an outlier

By the method of observation, we can conclude that the following datasets have outliers

Hence, the datasets that have outliers are (c), (d) and (e)

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[tex]\tan(2\alpha)=\dfrac{2\tan \alpha }{1-\tan^2 \alpha}\\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{\dfrac{2\sin\alpha}{\cos\alpha}}{1-\dfrac{\sin ^2\alpha}{\cos^2\alpha}}\\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{\dfrac{2\sin\alpha}{\cos\alpha} }{\dfrac{\cos^2\alpha}{\cos^2\alpha}-\dfrac{\sin ^2\alpha}{\cos^2\alpha}}\\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{\dfrac{2\sin\alpha}{\cos\alpha} }{\dfrac{\cos^2\alpha-\sin^2 \alpha}{\cos^2\alpha}}[/tex]

[tex]\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{2\sin\alpha}{\cos\alpha} \cdot\dfrac{\cos^2\alpha}{\cos^2\alpha-\sin^2 \alpha}\\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{2\sin\alpha\cos\alpha}{\cos^2\alpha-\sin^2 \alpha} \\\\\\\dfrac{\sin(2\alpha)}{\cos(2\alpha)}=\dfrac{\sin(2\alpha)}{\cos(2\alpha)}[/tex]

Answer:

See below.

Step-by-step explanation:

tan 2A = sin 2A / cos 2A

= 2 sinA cosA / (cos^2A - sin^2A)

Now divide top and bottom of the fraction by cos^2 A:

2 sinA cosA               cos^2A         sin^2 A

-------------------      /     -----------   -   -------------

cos^2A                      cos^2 A        cos^2 A

= 2 tan A / 1 - tan^2A).

First calculate the diameter of circle.

[tex]d=8+4=12[/tex]

Now we know that diameter is equal for any two points on the arc of a circle lying opposite to each other.

[tex]12=x+4[/tex]

Now just simply solve for x.

[tex]

12=x+4 \\

12-4=x+4-4 \\

\boxed{x=8} \\

[/tex]

Hope this helps.

r3t40

Answer:  The correct option is (B) 7.

Step-by-step explanation:  Given that a karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early.

Cena paid $170 for her son to take courses.

We are to find the number of courses that he took.

Let x represents the number of courses that Cena took.

Then, according to the given information, we have

[tex]35+22.50\times (x-1)=170\\\\ \Rightarrow 22.50(x-1)=170-35\\\\ \Rightarrow 22.50(x-1)=135\\\\ \Rightarrow x-1=\dfrac{135}{22.50}\\\\\Rightarrow x-1=6\\\\ \Rightarrow x=7[/tex]

Thus, the required number of courses that Cena took is 7.

Option (B) is CORRECT.

Answer:

748 in^3.

Step-by-step explanation:

This consists of a triangular prism and a  rectangular cuboid .

Volume of the prism =  .1/2 * 8 *11 * 17 = 748 in^3

Volume of the cuboid =  5*8*17 = 680 in^3

Therefore the volume of the whole figure

= 680 + 748 =  1428 in^3.

Answer:

What is the volume of the composite figure?

748 cubic inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]9(2x+1)<9x-18\qquad\text{divide both sides by 9}\\\\2x+1<x-2\qquad\text{subtract 1 from both sides}\\\\2x<x-3\qquad\text{subtract}\ x\ \text{from both sides}\\\\x<-3\\\\-4<-3[/tex]

George still owes $36.44 after making a payment of $37.50 on his original bill of $73.94. This is calculated by subtracting the payment from the original bill amount.

George made a payment of $37.50 on a bill of $73.94. To determine how much he still owes, we subtract the payment he made from the original bill.

Original bill: $73.94
Payment made: $37.50

To calculate the remaining balance:

Therefore, George still owes $36.44 on his bill.

Answer:

[tex]x = 5+\sqrt{31}\,\, and\,\, x=5-\sqrt{31}[/tex]

Step-by-step explanation:

We need to solve the quadratic equation

6 = x^2 -10x

Rearranging we get,

x^2-10x-6=0

Using quadratic formula to solve the quadratic equation

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

a= 1, b =-10 and c=6

Putting values in the quadratic formula

[tex]x=\frac{-(-10)\pm\sqrt{(-10)^2-4(1)(-6)}}{2(1)}\\x=\frac{10\pm\sqrt{100+24}}{2}\\x=\frac{10\pm\sqrt{124}}{2}\\x=\frac{10\pm\sqrt{2*2*31}}{2}\\x=\frac{10\pm\sqrt{2^2*31}}{2}\\x=\frac{10\pm2\sqrt{31}}{2}\\x = 5\pm\sqrt{31}[/tex]

So, [tex]x=5+\sqrt{31}\,\, and\,\, x=5-\sqrt{31}[/tex]

Answer:

The solutions are:

x1= 5 +√31

x2= 5 -√31

Step-by-step explanation:

We have 6=x^2-10x

Balance the equation by adding the same constant to each side

x^2-10x+25=6+25

x^2-10x+25=31

Rewrite as perfect square,

(x-25)^2=31

Taking square root at both sides

√(x-5)^2 = √31

x-5 = (+/-)√31

x1= 5 +√31

x2= 5 -√31

Therefore the solutions are x1= 5 +√31 , x2= 5 -√31

Answer:

the number is -1

Step-by-step explanation:

Turn this into an equation. 4x = x-3

subtracting x from both sides gives

3x=-3

so x = -1

Hope this helps!

Answer:

(-2, 18), (0, 10), (2, 2)

Step-by-step explanation:

All you do is plug each coordinate into the equation to confirm the authentication.

I am joyous to assist you anytime.

Answer:

(-2, 18), (0, 10), (2, 2)

Step-by-step explanation:

You're welcome ;)

Answer: There are 5 sig figs in 1.0025

Step-by-step explanation:

With significant figures, any number other then 0 is a significant figure. The two zeros are significant because they are followed by more numbers. If the number was 1.000, there would only be one sig fig.

Hope this helps!

In order to change from 35 to 62, we have to add 27. So, the question becomes: which percentage of 35 is 27?

To answer this question, we set this simple equation

[tex]27 = 35\cdot\dfrac{x}{100}[/tex]

And solving for x we have

[tex]x = \dfrac{2700}{35} \approx 77.14[/tex]

So, if you change from 35 to 62, you have an increase of about 77%

The percentage change is 77.14%

The following information can be gotten from the question:

Old number = 35

New number = 62

Increase in number = 62 - 35 = 27

Percentage change will be:

= (Increase in number / Old number) × 100

= 27/35 × 100

= 2700/35

= 77.14%

In conclusion, the percentage change is 77.14%

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Answer:

B

Step-by-step explanation:

4x + 2y = 3

(send 2y to the right and 3 to the left)

4x - 3 = -2y

(divide everything by -2)

(4x)/(-2) - 3/(-2) = y

So now we have a function which is like

y = ax + c

c = the y value of intersection point of the equation and the y-axis

a = amount of increase in y values per x value

so in this example:

(4x/(-2)) = (4/(-2))x -> a = 4/(-2) = -2

and

c = -3/-2 = 3/2

So the graph that we're searching for is increasing (-2) y values (so decreasing 2 y values) per 1 x value and has an intersection with the y-axis where y = 3/2

Answer:

x = -35/72

Step-by-step explanation:

3x + 1/9 = 2x - 3/8

x = -3/8 - 1/9

x = -35/72

Answer:

- 1280

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

here a₁ = - 10 and r = 2, hence

[tex]a_{8}[/tex] = - 10 × [tex]2^{7}[/tex] = - 10 × 128 = - 1280

When point D in shape ABCDE is reflected over the x-axis, the y-coordinate changes its sign. If it is then translated 3 units to the left, the x-coordinate of D decreases by 3. Therefore, if the original coordinates of D are (d1, d2), after these transformations, its new coordinates will be (d1-3, -d2).

To answer this question, we need to understand how the reflection and translation transformations affect the coordinates of point D in the shape ABCDE.

First, when a point is reflected over the x-axis, the y-coordinate changes sign. For example, if the original coordinates of D are (d1, d2), after reflection over the x-axis, the new coordinates will be (d1, -d2).

Next, a translation of 3 units to the left (in the negative x direction), lowers the x coordinate by 3 units. Thus, after this translation, the final coordinates of point D will be (d1-3, -d2).

So, if you know the original coordinates of point D in the shape ABCDE, you can calculate its new position after these transformations in the described way.

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The new coordinates of point D after reflection over the x-axis and translation 3 units left is

The coordinates is solved by considering the sequence of transformation that took place

Reflection over the x-axis will result to

D (-3, -1) → D' (-3, 1)

Translation of 3 units left will result to

D' (-3, 1) → D"(-6, 1)

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Answer:

Step-by-step explanation:93.75

Follow below steps;

To solve for the dimensions of the picture whose length is 22.75 inches shorter than twice the width and has a perimeter of 116.5 inches, we first need to set up equations based on the given information.

Step 1: Set up the equations

Let w represent the width of the picture. Then, the length will be 2w - 22.75 inches.

Since the perimeter of a rectangle is given by the formula P = 2l + 2w where l is the length and w is the width, we can substitute the expressions for length and width to get the perimeter equation:

116.5 = 2(2w - 22.75) + 2w

Step 2: Solve for width

Expanding the perimeter equation we get:

116.5 = 4w - 45.5 + 2w

Combining like terms:

116.5 = 6w - 45.5

Adding 45.5 to both sides:

116.5 + 45.5 = 6w

162 = 6w

Divide both sides by 6 to find w:

w = 162 / 6

w = 27 inches

Step 3: Find the length

Now we calculate the length using the width (w = 27):

Length = 2w - 22.75

Length = 2(27) - 22.75

Length = 54 - 22.75

Length = 31.25 inches

So, the dimensions of the picture are a width of 27 inches and a length of 31.25 inches.

Final answer:

The slope of the line passing through the points (-7,2) and (5,8) is calculated using the slope formula and is found to be 0.5.

Explanation:

The student asked about the slope of the line passing through two points, (-7,2) and (5,8). To find the slope, one should use the slope formula: slope (m) = (y2 - y1) / (x2 - x1). Plugging in the values from the points, we have m = (8 - 2) / (5 - (-7)) = 6 / 12 = 0.5. Therefore, the slope of the line is 0.5.

Answer:

(x - 7)(x - 8)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (+ 56) which sum to give the coefficient of the x- term (- 15)

The factors are - 7 and - 8, since

- 7 × - 8 = + 56 and - 7 - 8 = - 15, hence

x² - 15x + 56 = (x - 7)(x - 8)

Answer: The answer is: -5m + 2m

Step-by-step explanation:

Because -5 + 2 equals -3

Hope it helps

God bless you guy!

Answer:

40.35

Step-by-step explanation:

First find the discount

97 * 60%

97 *.6 = 58.2

Subtract the discount to find the new price

97-58.20 =38.80

Next find the tax

38.80 * 4%

38.80 * .04

1.55

We add the tax to the sales price

38.8+1.55

40.35

Amount of money spent per day = $1800

Cost of overhead expenses per day for labor and materials = $9

Selling price of each camera = $18

a. Let us assume the number of cameras manufactured per day = x dollars

Then

Cost of cameras sold in 1 day = 18x

So

18x = 1800 + 9x

18x - 9x = 1800

9x = 1800

x = 200

From the above deduction, we can conclude that the number cameras sold per day is 200

b. Daily selling amount of 250 cameras = 250 * 18

                                                              = 4500 dollars

Daily manufacturing price of 250 cameras = 1800 + (9 * 250)

                                                                   = 4050 dollars

Then

Daily profit = 4500 - 4050

                 = 450 dollars

To find the inverse of an equation just switch the places of the x and y, then solve for y like so...

(keep in mind that f(x) means the same thing as y)

original equation:

y = 4x + 8

switching x and y:

x = 4y + 8

x - 8 = 4y

[tex]\frac{1}{4}x[/tex] - 2 = y

Hope this helped!

~Just a girl in love with Shawn Mendes

Hello There!

I Provided Steps In The Image Attached.

Have A Great Day!

Answer:

[tex]s=4w+12[/tex]

Step-by-step explanation:

Let

s -----> the number of stamps

w ----> the number of weeks

we know that

The linear equation that represent this situation is

[tex]s=4w+12[/tex] ----> equation of the line into slope intercept form

where

the slope m is equal to [tex]m=4\ stamps/week[/tex]

the y-intercept b is equal to [tex]b=12\ stamps[/tex] ---> (the initial value)

Answer:

-2

Step-by-step explanation:

If the lines are parallel, the slopes are the same.

Since the green line has a slope of -2, the red line has a slope of -2

Answer:

When Harold wrote his equation, the point he used was (7, 0) ⇒ the third answer

Step-by-step explanation:

* Lets look to the equation to find the correct answer

- He used the point-slope form is y – y1 = m(x – x1), where m is the

 slope of the line , (x1 , y1) are the coordinates of the point which

 the line passes through it and (x , y) are the coordinates of any

 general point on the line

- Lets solve the problem

- Harold correctly wrote the equation y = 3(x – 7)

∵ y - y1 = m (x - x1)

∵ y = 3 (x - 7)

- By comparing between the two equations

∴ y1 = 0

∴ m = 3

∴ x1 = 7

- He used the point (x1 , y1)

∴ Harold used the point (7 , 0) to write the equation

∴ The answer is when Harold wrote his equation, the point he used

   was (7, 0)

ANSWER

When Harold wrote his equation, the point he used was (7, 0).

EXPLANATION

The point-slope form is given as

[tex]y-y_1=m(x-x_1)[/tex]

The equation Harold wrote correctly is:

[tex]y = 3(x - 7)[/tex]

This is the same as:

[tex]y - 0= 3(x - 7)[/tex]

Comparing to point-slope form, we have

[tex]x_1=7 \: \: and \: \: y_1=0[/tex]

Hence the point is (7,0)

When Harold wrote his equation, the point he used was (7, 0).

The form of linear equation that describes line is:

[tex]y=sx+n[/tex]

First we must calculate the slope.

[tex]s=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}[/tex]

Now it looks a bit more like this:

[tex]y=\dfrac{5}{2}x+n[/tex]

All we need now is to put in y and x from one point doesn't matter which. I'll pick A.

The equation now looks like this:

[tex]-3=\dfrac{5}{2}\cdot2+n[/tex]

Solve for n.

[tex]

-3=5+n \\

n=-8

[/tex]

And finally write the equation.

[tex]f(x)=\dfrac{5}{2}x-8[/tex]

Hope this helps.

r3t40